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Math Homework: What to Expect and Why IT Is Important

Parents across the country are starting to question the impact that math homework has on their children. This article discusses why math homework is important and what parents should expect to see in their children's assignments.

School boards around the country are beginning to place homework restrictions on K-12 grade public school teachers. These restrictions are being created in response to increasing instances of homework anxiety in students across the nation. However, before you approach your school board about creating similar restrictions, it is important to learn and understand the value of homework.

Math Homework

Math homework is any task assigned to students to complete outside of their math class, and is created to help students prepare to learn new mathematical concepts, practice ones that have already been introduced, and explore other math skills. These out-of-class assignments are help to reinforce the lessons a child is introduced during the school day.

Studies are finding a relationship between homework and student achievement in school. There has not been established a cause and effect relationship, but there is a strong correlation between the two traits. However, it is also acknowledged that these assignments are only effective when the math teacher takes time to prepare quality assignments that relate to the specific skills that students should be learning or practicing.

Too Much Math Homework?

Statements released by the National PTA and the National Education Association, kindergarten to third grade students should be assigned no more than 20 minutes total homework per day. Fourth to sixth graders should be assigned 20 to 40 minutes while seventh to twelfth grade teens have a varying recommended amount of homework per day depending on the difficulty of their courses. These figures are for all subjects combined, not just the mathematics course.

If your child is taking much longer than these recommended amounts of time on their homework, it could be for two reasons. Either your student's teachers are assigning too much homework or your child does not fully understand their assignments. If you are concerned that a teacher is overloading your child with homework then you should schedule an appointment to discuss this problem. If your child is struggling with their work due to a math skills gap then the answer may be outside tutoring. Busy families can help a child catch up with their peers through online tutoring. Tutoring centers that are located on the World Wide Web are professional and use the same proven methods as their conventional counterparts.

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Does Homework Really Help Students Learn?

A conversation with a Wheelock researcher, a BU student, and a fourth-grade teacher

child doing homework

“Quality homework is engaging and relevant to kids’ lives,” says Wheelock’s Janine Bempechat. “It gives them autonomy and engages them in the community and with their families. In some subjects, like math, worksheets can be very helpful. It has to do with the value of practicing over and over.” Photo by iStock/Glenn Cook Photography

Do your homework.

If only it were that simple.

Educators have debated the merits of homework since the late 19th century. In recent years, amid concerns of some parents and teachers that children are being stressed out by too much homework, things have only gotten more fraught.

“Homework is complicated,” says developmental psychologist Janine Bempechat, a Wheelock College of Education & Human Development clinical professor. The author of the essay “ The Case for (Quality) Homework—Why It Improves Learning and How Parents Can Help ” in the winter 2019 issue of Education Next , Bempechat has studied how the debate about homework is influencing teacher preparation, parent and student beliefs about learning, and school policies.

She worries especially about socioeconomically disadvantaged students from low-performing schools who, according to research by Bempechat and others, get little or no homework.

BU Today  sat down with Bempechat and Erin Bruce (Wheelock’17,’18), a new fourth-grade teacher at a suburban Boston school, and future teacher freshman Emma Ardizzone (Wheelock) to talk about what quality homework looks like, how it can help children learn, and how schools can equip teachers to design it, evaluate it, and facilitate parents’ role in it.

BU Today: Parents and educators who are against homework in elementary school say there is no research definitively linking it to academic performance for kids in the early grades. You’ve said that they’re missing the point.

Bempechat : I think teachers assign homework in elementary school as a way to help kids develop skills they’ll need when they’re older—to begin to instill a sense of responsibility and to learn planning and organizational skills. That’s what I think is the greatest value of homework—in cultivating beliefs about learning and skills associated with academic success. If we greatly reduce or eliminate homework in elementary school, we deprive kids and parents of opportunities to instill these important learning habits and skills.

We do know that beginning in late middle school, and continuing through high school, there is a strong and positive correlation between homework completion and academic success.

That’s what I think is the greatest value of homework—in cultivating beliefs about learning and skills associated with academic success.

You talk about the importance of quality homework. What is that?

Quality homework is engaging and relevant to kids’ lives. It gives them autonomy and engages them in the community and with their families. In some subjects, like math, worksheets can be very helpful. It has to do with the value of practicing over and over.

Janine Bempechat

What are your concerns about homework and low-income children?

The argument that some people make—that homework “punishes the poor” because lower-income parents may not be as well-equipped as affluent parents to help their children with homework—is very troubling to me. There are no parents who don’t care about their children’s learning. Parents don’t actually have to help with homework completion in order for kids to do well. They can help in other ways—by helping children organize a study space, providing snacks, being there as a support, helping children work in groups with siblings or friends.

Isn’t the discussion about getting rid of homework happening mostly in affluent communities?

Yes, and the stories we hear of kids being stressed out from too much homework—four or five hours of homework a night—are real. That’s problematic for physical and mental health and overall well-being. But the research shows that higher-income students get a lot more homework than lower-income kids.

Teachers may not have as high expectations for lower-income children. Schools should bear responsibility for providing supports for kids to be able to get their homework done—after-school clubs, community support, peer group support. It does kids a disservice when our expectations are lower for them.

The conversation around homework is to some extent a social class and social justice issue. If we eliminate homework for all children because affluent children have too much, we’re really doing a disservice to low-income children. They need the challenge, and every student can rise to the challenge with enough supports in place.

What did you learn by studying how education schools are preparing future teachers to handle homework?

My colleague, Margarita Jimenez-Silva, at the University of California, Davis, School of Education, and I interviewed faculty members at education schools, as well as supervising teachers, to find out how students are being prepared. And it seemed that they weren’t. There didn’t seem to be any readings on the research, or conversations on what high-quality homework is and how to design it.

Erin, what kind of training did you get in handling homework?

Bruce : I had phenomenal professors at Wheelock, but homework just didn’t come up. I did lots of student teaching. I’ve been in classrooms where the teachers didn’t assign any homework, and I’ve been in rooms where they assigned hours of homework a night. But I never even considered homework as something that was my decision. I just thought it was something I’d pull out of a book and it’d be done.

I started giving homework on the first night of school this year. My first assignment was to go home and draw a picture of the room where you do your homework. I want to know if it’s at a table and if there are chairs around it and if mom’s cooking dinner while you’re doing homework.

The second night I asked them to talk to a grown-up about how are you going to be able to get your homework done during the week. The kids really enjoyed it. There’s a running joke that I’m teaching life skills.

Friday nights, I read all my kids’ responses to me on their homework from the week and it’s wonderful. They pour their hearts out. It’s like we’re having a conversation on my couch Friday night.

It matters to know that the teacher cares about you and that what you think matters to the teacher. Homework is a vehicle to connect home and school…for parents to know teachers are welcoming to them and their families.

Bempechat : I can’t imagine that most new teachers would have the intuition Erin had in designing homework the way she did.

Ardizzone : Conversations with kids about homework, feeling you’re being listened to—that’s such a big part of wanting to do homework….I grew up in Westchester County. It was a pretty demanding school district. My junior year English teacher—I loved her—she would give us feedback, have meetings with all of us. She’d say, “If you have any questions, if you have anything you want to talk about, you can talk to me, here are my office hours.” It felt like she actually cared.

Bempechat : It matters to know that the teacher cares about you and that what you think matters to the teacher. Homework is a vehicle to connect home and school…for parents to know teachers are welcoming to them and their families.

Ardizzone : But can’t it lead to parents being overbearing and too involved in their children’s lives as students?

Bempechat : There’s good help and there’s bad help. The bad help is what you’re describing—when parents hover inappropriately, when they micromanage, when they see their children confused and struggling and tell them what to do.

Good help is when parents recognize there’s a struggle going on and instead ask informative questions: “Where do you think you went wrong?” They give hints, or pointers, rather than saying, “You missed this,” or “You didn’t read that.”

Bruce : I hope something comes of this. I hope BU or Wheelock can think of some way to make this a more pressing issue. As a first-year teacher, it was not something I even thought about on the first day of school—until a kid raised his hand and said, “Do we have homework?” It would have been wonderful if I’d had a plan from day one.

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Sara Rimer A journalist for more than three decades, Sara Rimer worked at the Miami Herald , Washington Post and, for 26 years, the New York Times , where she was the New England bureau chief, and a national reporter covering education, aging, immigration, and other social justice issues. Her stories on the death penalty’s inequities were nominated for a Pulitzer Prize and cited in the U.S. Supreme Court’s decision outlawing the execution of people with intellectual disabilities. Her journalism honors include Columbia University’s Meyer Berger award for in-depth human interest reporting. She holds a BA degree in American Studies from the University of Michigan. Profile

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Comments & Discussion

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There are 81 comments on Does Homework Really Help Students Learn?

Insightful! The values about homework in elementary schools are well aligned with my intuition as a parent.

when i finish my work i do my homework and i sometimes forget what to do because i did not get enough sleep

same omg it does not help me it is stressful and if I have it in more than one class I hate it.

Same I think my parent wants to help me but, she doesn’t care if I get bad grades so I just try my best and my grades are great.

I think that last question about Good help from parents is not know to all parents, we do as our parents did or how we best think it can be done, so maybe coaching parents or giving them resources on how to help with homework would be very beneficial for the parent on how to help and for the teacher to have consistency and improve homework results, and of course for the child. I do see how homework helps reaffirm the knowledge obtained in the classroom, I also have the ability to see progress and it is a time I share with my kids

The answer to the headline question is a no-brainer – a more pressing problem is why there is a difference in how students from different cultures succeed. Perfect example is the student population at BU – why is there a majority population of Asian students and only about 3% black students at BU? In fact at some universities there are law suits by Asians to stop discrimination and quotas against admitting Asian students because the real truth is that as a group they are demonstrating better qualifications for admittance, while at the same time there are quotas and reduced requirements for black students to boost their portion of the student population because as a group they do more poorly in meeting admissions standards – and it is not about the Benjamins. The real problem is that in our PC society no one has the gazuntas to explore this issue as it may reveal that all people are not created equal after all. Or is it just environmental cultural differences??????

I get you have a concern about the issue but that is not even what the point of this article is about. If you have an issue please take this to the site we have and only post your opinion about the actual topic

This is not at all what the article is talking about.

This literally has nothing to do with the article brought up. You should really take your opinions somewhere else before you speak about something that doesn’t make sense.

we have the same name

so they have the same name what of it?

lol you tell her

totally agree

What does that have to do with homework, that is not what the article talks about AT ALL.

Yes, I think homework plays an important role in the development of student life. Through homework, students have to face challenges on a daily basis and they try to solve them quickly.I am an intense online tutor at 24x7homeworkhelp and I give homework to my students at that level in which they handle it easily.

More than two-thirds of students said they used alcohol and drugs, primarily marijuana, to cope with stress.

You know what’s funny? I got this assignment to write an argument for homework about homework and this article was really helpful and understandable, and I also agree with this article’s point of view.

I also got the same task as you! I was looking for some good resources and I found this! I really found this article useful and easy to understand, just like you! ^^

i think that homework is the best thing that a child can have on the school because it help them with their thinking and memory.

I am a child myself and i think homework is a terrific pass time because i can’t play video games during the week. It also helps me set goals.

Homework is not harmful ,but it will if there is too much

I feel like, from a minors point of view that we shouldn’t get homework. Not only is the homework stressful, but it takes us away from relaxing and being social. For example, me and my friends was supposed to hang at the mall last week but we had to postpone it since we all had some sort of work to do. Our minds shouldn’t be focused on finishing an assignment that in realty, doesn’t matter. I completely understand that we should have homework. I have to write a paper on the unimportance of homework so thanks.

homework isn’t that bad

Are you a student? if not then i don’t really think you know how much and how severe todays homework really is

i am a student and i do not enjoy homework because i practice my sport 4 out of the five days we have school for 4 hours and that’s not even counting the commute time or the fact i still have to shower and eat dinner when i get home. its draining!

i totally agree with you. these people are such boomers

why just why

they do make a really good point, i think that there should be a limit though. hours and hours of homework can be really stressful, and the extra work isn’t making a difference to our learning, but i do believe homework should be optional and extra credit. that would make it for students to not have the leaning stress of a assignment and if you have a low grade you you can catch up.

Studies show that homework improves student achievement in terms of improved grades, test results, and the likelihood to attend college. Research published in the High School Journal indicates that students who spent between 31 and 90 minutes each day on homework “scored about 40 points higher on the SAT-Mathematics subtest than their peers, who reported spending no time on homework each day, on average.” On both standardized tests and grades, students in classes that were assigned homework outperformed 69% of students who didn’t have homework. A majority of studies on homework’s impact – 64% in one meta-study and 72% in another – showed that take home assignments were effective at improving academic achievement. Research by the Institute for the Study of Labor (IZA) concluded that increased homework led to better GPAs and higher probability of college attendance for high school boys. In fact, boys who attended college did more than three hours of additional homework per week in high school.

So how are your measuring student achievement? That’s the real question. The argument that doing homework is simply a tool for teaching responsibility isn’t enough for me. We can teach responsibility in a number of ways. Also the poor argument that parents don’t need to help with homework, and that students can do it on their own, is wishful thinking at best. It completely ignores neurodiverse students. Students in poverty aren’t magically going to find a space to do homework, a friend’s or siblings to help them do it, and snacks to eat. I feel like the author of this piece has never set foot in a classroom of students.

THIS. This article is pathetic coming from a university. So intellectually dishonest, refusing to address the havoc of capitalism and poverty plays on academic success in life. How can they in one sentence use poor kids in an argument and never once address that poor children have access to damn near 0 of the resources affluent kids have? Draw me a picture and let’s talk about feelings lmao what a joke is that gonna put food in their belly so they can have the calories to burn in order to use their brain to study? What about quiet their 7 other siblings that they share a single bedroom with for hours? Is it gonna force the single mom to magically be at home and at work at the same time to cook food while you study and be there to throw an encouraging word?

Also the “parents don’t need to be a parent and be able to guide their kid at all academically they just need to exist in the next room” is wild. Its one thing if a parent straight up is not equipped but to say kids can just figured it out is…. wow coming from an educator What’s next the teacher doesn’t need to teach cause the kid can just follow the packet and figure it out?

Well then get a tutor right? Oh wait you are poor only affluent kids can afford a tutor for their hours of homework a day were they on average have none of the worries a poor child does. Does this address that poor children are more likely to also suffer abuse and mental illness? Like mentioned what about kids that can’t learn or comprehend the forced standardized way? Just let em fail? These children regularly are not in “special education”(some of those are a joke in their own and full of neglect and abuse) programs cause most aren’t even acknowledged as having disabilities or disorders.

But yes all and all those pesky poor kids just aren’t being worked hard enough lol pretty sure poor children’s existence just in childhood is more work, stress, and responsibility alone than an affluent child’s entire life cycle. Love they never once talked about the quality of education in the classroom being so bad between the poor and affluent it can qualify as segregation, just basically blamed poor people for being lazy, good job capitalism for failing us once again!

why the hell?

you should feel bad for saying this, this article can be helpful for people who has to write a essay about it

This is more of a political rant than it is about homework

I know a teacher who has told his students their homework is to find something they are interested in, pursue it and then come share what they learn. The student responses are quite compelling. One girl taught herself German so she could talk to her grandfather. One boy did a research project on Nelson Mandela because the teacher had mentioned him in class. Another boy, a both on the autism spectrum, fixed his family’s computer. The list goes on. This is fourth grade. I think students are highly motivated to learn, when we step aside and encourage them.

The whole point of homework is to give the students a chance to use the material that they have been presented with in class. If they never have the opportunity to use that information, and discover that it is actually useful, it will be in one ear and out the other. As a science teacher, it is critical that the students are challenged to use the material they have been presented with, which gives them the opportunity to actually think about it rather than regurgitate “facts”. Well designed homework forces the student to think conceptually, as opposed to regurgitation, which is never a pretty sight

Wonderful discussion. and yes, homework helps in learning and building skills in students.

not true it just causes kids to stress

Homework can be both beneficial and unuseful, if you will. There are students who are gifted in all subjects in school and ones with disabilities. Why should the students who are gifted get the lucky break, whereas the people who have disabilities suffer? The people who were born with this “gift” go through school with ease whereas people with disabilities struggle with the work given to them. I speak from experience because I am one of those students: the ones with disabilities. Homework doesn’t benefit “us”, it only tears us down and put us in an abyss of confusion and stress and hopelessness because we can’t learn as fast as others. Or we can’t handle the amount of work given whereas the gifted students go through it with ease. It just brings us down and makes us feel lost; because no mater what, it feels like we are destined to fail. It feels like we weren’t “cut out” for success.

homework does help

here is the thing though, if a child is shoved in the face with a whole ton of homework that isn’t really even considered homework it is assignments, it’s not helpful. the teacher should make homework more of a fun learning experience rather than something that is dreaded

This article was wonderful, I am going to ask my teachers about extra, or at all giving homework.

I agree. Especially when you have homework before an exam. Which is distasteful as you’ll need that time to study. It doesn’t make any sense, nor does us doing homework really matters as It’s just facts thrown at us.

Homework is too severe and is just too much for students, schools need to decrease the amount of homework. When teachers assign homework they forget that the students have other classes that give them the same amount of homework each day. Students need to work on social skills and life skills.

I disagree.

Beyond achievement, proponents of homework argue that it can have many other beneficial effects. They claim it can help students develop good study habits so they are ready to grow as their cognitive capacities mature. It can help students recognize that learning can occur at home as well as at school. Homework can foster independent learning and responsible character traits. And it can give parents an opportunity to see what’s going on at school and let them express positive attitudes toward achievement.

Homework is helpful because homework helps us by teaching us how to learn a specific topic.

As a student myself, I can say that I have almost never gotten the full 9 hours of recommended sleep time, because of homework. (Now I’m writing an essay on it in the middle of the night D=)

I am a 10 year old kid doing a report about “Is homework good or bad” for homework before i was going to do homework is bad but the sources from this site changed my mind!

Homeowkr is god for stusenrs

I agree with hunter because homework can be so stressful especially with this whole covid thing no one has time for homework and every one just wants to get back to there normal lives it is especially stressful when you go on a 2 week vaca 3 weeks into the new school year and and then less then a week after you come back from the vaca you are out for over a month because of covid and you have no way to get the assignment done and turned in

As great as homework is said to be in the is article, I feel like the viewpoint of the students was left out. Every where I go on the internet researching about this topic it almost always has interviews from teachers, professors, and the like. However isn’t that a little biased? Of course teachers are going to be for homework, they’re not the ones that have to stay up past midnight completing the homework from not just one class, but all of them. I just feel like this site is one-sided and you should include what the students of today think of spending four hours every night completing 6-8 classes worth of work.

Are we talking about homework or practice? Those are two very different things and can result in different outcomes.

Homework is a graded assignment. I do not know of research showing the benefits of graded assignments going home.

Practice; however, can be extremely beneficial, especially if there is some sort of feedback (not a grade but feedback). That feedback can come from the teacher, another student or even an automated grading program.

As a former band director, I assigned daily practice. I never once thought it would be appropriate for me to require the students to turn in a recording of their practice for me to grade. Instead, I had in-class assignments/assessments that were graded and directly related to the practice assigned.

I would really like to read articles on “homework” that truly distinguish between the two.

oof i feel bad good luck!

thank you guys for the artical because I have to finish an assingment. yes i did cite it but just thanks

thx for the article guys.

Homework is good

I think homework is helpful AND harmful. Sometimes u can’t get sleep bc of homework but it helps u practice for school too so idk.

I agree with this Article. And does anyone know when this was published. I would like to know.

It was published FEb 19, 2019.

Studies have shown that homework improved student achievement in terms of improved grades, test results, and the likelihood to attend college.

i think homework can help kids but at the same time not help kids

This article is so out of touch with majority of homes it would be laughable if it wasn’t so incredibly sad.

There is no value to homework all it does is add stress to already stressed homes. Parents or adults magically having the time or energy to shepherd kids through homework is dome sort of 1950’s fantasy.

What lala land do these teachers live in?

Homework gives noting to the kid

Homework is Bad

homework is bad.

why do kids even have homework?

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Why Is Math Important? 9 Reasons Why Math Skills Improve Quality of Life

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Math isn't just an important subject in school — it’s essential for many of your daily tasks. You likely use it every day to perform real-life skills, like grocery shopping, cooking and tracking your finances. 

What makes math special is that it’s a universal language — a powerful tool with the same meaning across the globe. Though languages divide our world, numbers unite us. Math allows us to work together towards new innovations and ideas. 

In this post, learn why math is important for kids and adults. Plus, find out why learning even the most basic math can significantly improve your family’s quality of life.

You simply can’t make it through a day without using some sort of basic math. Here’s why.

A person needs an understanding of math, measurements and fractions to cook and bake. Many people may also use math to count calories or nutrients as part of their diet or exercise routine. 

You also need math to calculate when you should leave your house to arrive on time, or how much paint you need to redo your bedroom walls. 

And then the big one, money. Financial literacy is an incredibly important skill for adults to master. It can help you budget, save and even help you make big decisions like changing careers or buying a home. 

Mathematical knowledge may even be connected to many other not-so-obvious benefits. A strong foundation in math can translate into increased understanding and regulation of your emotions, improved memory and better problem-solving skills.

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The importance of math: 9 benefits of a great math education

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Though many students sit in math class wondering when they’ll ever use these things they’re learning, we know there are many times their math skills will be needed in adulthood. 

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1. Math promotes healthy brain function

“Use it or lose it.” We hear this said about many skills, and math is no exception. 

Solving math problems and improving our math skills gives our brain a good workout. And it improves our cognitive skills over time. Many studies have shown that routinely practicing math keeps our brain healthy and functioning well.

2. Math improves problem-solving skills

At first, classic math problems like Johnny bringing home 42 watermelons and returning 13 of them can just seem a silly exercise. But all those math word problems our children solve really do improve their problem solving skills. Word problems teach kids how to pull out the important information and then manipulate it to find a solution.

Later on, complex life problems take the place of workbooks, but problem-solving still happens the same way. When students understand algorithms and problems more deeply, they can decode the facts and more easily solve the issue. Real-life solutions are found with math and logic.

3. Math supports logical reasoning and analytical thinking

A strong understanding of math concepts means more than just number sense. It helps us see the pathways to a solution. Equations and word problems need to be examined before determining the best method for solving them. And in many cases, there’s more than one way to get to the right answer. 

It’s no surprise that logical reasoning and analytical thinking improve alongside math skills. Logic skills are necessary at all levels of mathematical education.

4. Math develops flexible thinking and creativity

Practicing math has been shown to improve investigative skills, resourcefulness and creativity.

This is because math problems often require us to bend our thinking and approach problems in more than one way. The first process we try might not work. We need flexibility and creativity to think of new pathways to the solution. And just like anything else, this way of thinking is strengthened with practice.

5. Math opens up many different career paths

There are many careers that use a large number of math concepts. These include architects, accountants, and scientists. 

But many other professionals use math skills every day to complete their jobs. CEOs use math to analyze financials. Mailmen use it to calculate how long it will take them to walk their new route. Graphic designers use math to figure out the appropriate scale and proportions in their designs. 

No matter what career path your child chooses, math skills will be beneficial.

Math skills might become even more important for today's kids!

Math can certainly open up a lot of opportunities for many of us. But did you know that careers which heavily use math are going to be among the fastest-growing jobs by the time kids today start their careers? These jobs include:

  • Statisticians
  • Data scientists
  • Software developers
  • Cybersecurity analysts

It's not just STEM jobs that will require math either. Other popular, high-growth careers like nursing and teaching now ask for a minimum knowledge of college-level math.

6. Math may boost emotional health

While this research is still in its early days, what we have seen is promising. 

The parts of the brain used to solve math problems seem to work together with the parts of the brain that regulate emotions. This suggests that math practice can actually help us cope with difficult situations. In these studies, the better someone was with numerical calculations, the better they were at regulating fear and anger. Strong math skills may even be able to help treat anxiety and depression.

7. Math improves financial literacy

Though kids may not be managing their finances now, there's going to be plenty of times where math skills are going to make a massive difference in their life as an adult.

Budgeting and saving is a big one. Where can they cut back on their spending? How will budgeting help them reach their financial goals? Can they afford this new purchase now? 

As they age into adulthood, It will benefit your child to understand how loans and interest work before purchasing a house or car. They should fully grasp profits and losses before investing in the stock market. And they will likely need to evaluate job salaries and benefits before choosing their first job.

Child putting money in piggy bank with mom.

8. Math sharpens your memory

Learning mental math starts in elementary school. Students learn addition tables, then subtraction, multiplication and division tables. As they master those skills, they’ll begin to memorize more tips and tricks, like adding a zero to the end when multiplying by 10. Students will memorize algorithms and processes throughout their education. 

Using your memory often keeps it sharp. As your child grows and continues to use math skills in adulthood, their memory will remain in tip top shape.

9. Math teaches perseverance

“I can do it!’ 

These are words heard often from our toddlers. This phrase is a marker of growth, and a point of pride. But as your child moves into elementary school, you may not hear these words as often or with as much confidence as before. 

Learning math is great for teaching perseverance. With the right math instruction, your child can see their progress and once again feel that “I can do it” attitude. The rush of excitement a child experiences when they master a new concept sticks in their memory. And they can reflect back on it when they’re struggling with a new, harder skill. 

Even when things get tough, they’ll know they can keep trying and eventually overcome it — because they’ve done it before.

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Tip: Set goals to inspire and motivate your child to learn math

If your child has a  Prodigy Math Membership , you can use your parent account to set learning goals for them to achieve as they play our online math game.

The best bit? Every time they complete a goal, they'll also get a special in-game reward!

Many students experience roadblocks and hurdles throughout their math education. You might recognize some of these math struggles below in your child. But don’t worry! Any struggle is manageable with the right support and help. Together, you and your child can tackle anything. 

Here are some of the most common math struggles. 

  • Increasing complexity

Sometimes the pace of class moves a bit faster than your child can keep up with. Or the concepts are just too abstract and difficult for them to wrap their mind around in one lesson. Some math ideas simply take more time to learn. 

  • Wrong teaching style

A good teaching style with plenty of practice is essential to a high-quality math education. If the teacher’s style doesn’t mesh well with how your child learns, math class can be challenging. 

  • Fear of failure  

Even as adults, we can feel scared to fail. It’s no surprise that our children experience this same same fear, especially with the many other pressures school can bring. 

  • Lack of practice  

Sometimes, all your child needs is a little more practice. But this can be easier said than done. You can help by providing them with plenty of support and encouragement to help them get that practice time in.

  • Math anxiety

Algorithms and complex problems can strike anxiety in the heart of any child (and many adults). Math anxiety is a common phenomenon. But with the right coping strategies it can be managed. 

Set your child’s math skills up for success with Prodigy Math

Now we've discovered just how important math is in both our everyday and life decisions, let's set the next generation up for success with the right tools that'll help them learn math.

Prodigy Math is a game-based, online learning platform that makes learning math fun for kids. As kids play and explore a safe, virtual world filled with fun characters and pets to collect, they'll answer math questions. These questions are curriculum-aligned and powered by an adaptive algorithm that can help them master math skills more quickly.

Plus, with a free parent account , you'll also get to be a big part of their math education without needing to be a math genius. You'll get to:

  • Easily keep up with their math learning with a monthly Report Card
  • See how they're doing in math class when their teacher uses Prodigy Math
  • Send them motivational messages to encourage their perseverance in math

Want to play an even bigger role in helping your child master math? Try our optional Math Memberships for extra in-game content for your child to enjoy and get amazing parent tools like the ability to set in-game goals and rewards for them to achieve.

See why Prodigy can make math fun below!

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Khan Academy Blog

Unlocking the Power of Math Learning: Strategies and Tools for Success

posted on September 20, 2023

importance of math homework

Mathematics, the foundation of all sciences and technology, plays a fundamental role in our everyday lives. Yet many students find the subject challenging, causing them to shy away from it altogether. This reluctance is often due to a lack of confidence, a misunderstanding of unclear concepts, a move ahead to more advanced skills before they are ready, and ineffective learning methods. However, with the right approach, math learning can be both rewarding and empowering. This post will explore different approaches to learning math, strategies for success, and cutting-edge tools to help you achieve your goals.

Math Learning

Math learning can take many forms, including traditional classroom instruction, online courses, and self-directed learning. A multifaceted approach to math learning can improve understanding, engage students, and promote subject mastery. A 2014 study by the National Council of Teachers of Mathematics found that the use of multiple representations, such as visual aids, graphs, and real-world examples, supports the development of mathematical connections, reasoning, and problem-solving skills.

Moreover, the importance of math learning goes beyond solving equations and formulas. Advanced math skills are essential for success in many fields, including science, engineering, finance, health care, and technology. In fact, a report by Burning Glass Technologies found that 71% of high-salary, entry-level positions require advanced math skills.

Benefits of Math Learning

In today’s 21st-century world, having a broad knowledge base and strong reading and math skills is essential. Mathematical literacy plays a crucial role in this success. It empowers individuals to comprehend the world around them and make well-informed decisions based on data-driven understanding. More than just earning good grades in math, mathematical literacy is a vital life skill that can open doors to economic opportunities, improve financial management, and foster critical thinking. We’re not the only ones who say so:

  • Math learning enhances problem-solving skills, critical thinking, and logical reasoning abilities. (Source: National Council of Teachers of Mathematics )
  • It improves analytical skills that can be applied in various real-life situations, such as budgeting or analyzing data. (Source: Southern New Hampshire University )
  • Math learning promotes creativity and innovation by fostering a deep understanding of patterns and relationships. (Source: Purdue University )
  • It provides a strong foundation for careers in fields such as engineering, finance, computer science, and more. These careers generally correlate to high wages. (Source: U.S. Bureau of Labor Statistics )
  • Math skills are transferable and can be applied across different academic disciplines. (Source: Sydney School of Education and Social Work )

How to Know What Math You Need to Learn

Often students will find gaps in their math knowledge; this can occur at any age or skill level. As math learning is generally iterative, a solid foundation and understanding of the math skills that preceded current learning are key to success. The solution to these gaps is called mastery learning, the philosophy that underpins Khan Academy’s approach to education .

Mastery learning is an educational philosophy that emphasizes the importance of a student fully understanding a concept before moving on to the next one. Rather than rushing students through a curriculum, mastery learning asks educators to ensure that learners have “mastered” a topic or skill, showing a high level of proficiency and understanding, before progressing. This approach is rooted in the belief that all students can learn given the appropriate learning conditions and enough time, making it a markedly student-centered method. It promotes thoroughness over speed and encourages individualized learning paths, thus catering to the unique learning needs of each student.

Students will encounter mastery learning passively as they go through Khan Academy coursework, as our platform identifies gaps and systematically adjusts to support student learning outcomes. More details can be found in our Educators Hub . 

Try Our Free Confidence Boosters

How to learn math.

Learning at School

One of the most common methods of math instruction is classroom learning. In-class instruction provides students with real-time feedback, practical application, and a peer-learning environment. Teachers can personalize instruction by assessing students’ strengths and weaknesses, providing remediation when necessary, and offering advanced instruction to students who need it.

Learning at Home

Supplemental learning at home can complement traditional classroom instruction. For example, using online resources that provide additional practice opportunities, interactive games, and demonstrations, can help students consolidate learning outside of class. E-learning has become increasingly popular, with a wealth of online resources available to learners of all ages. The benefits of online learning include flexibility, customization, and the ability to work at one’s own pace. One excellent online learning platform is Khan Academy, which offers free video tutorials, interactive practice exercises, and a wealth of resources across a range of mathematical topics.

Moreover, parents can encourage and monitor progress, answer questions, and demonstrate practical applications of math in everyday life. For example, when at the grocery store, parents can ask their children to help calculate the price per ounce of two items to discover which one is the better deal. Cooking and baking with your children also provides a lot of opportunities to use math skills, like dividing a recipe in half or doubling the ingredients. 

Learning Math with the Help of Artificial Intelligence (AI) 

AI-powered tools are changing the way students learn math. Personalized feedback and adaptive practice help target individual needs. Virtual tutors offer real-time help with math concepts while AI algorithms identify areas for improvement. Custom math problems provide tailored practice, and natural language processing allows for instant question-and-answer sessions. 

Using Khan Academy’s AI Tutor, Khanmigo

Transform your child’s grasp of mathematics with Khanmigo , the 24/7 AI-powered tutor that specializes in tailored, one-on-one math instruction. Available at any time, Khanmigo provides personalized support that goes beyond mere answers to nurture genuine mathematical understanding and critical thinking. Khanmigo can track progress, identify strengths and weaknesses, and offer real-time feedback to help students stay on the right track. Within a secure and ethical AI framework, your child can tackle everything from basic arithmetic to complex calculus, all while you maintain oversight using robust parental controls.

Get Math Help with Khanmigo Right Now

You can learn anything .

Math learning is essential for success in the modern world, and with the right approach, it can also be enjoyable and rewarding. Learning math requires curiosity, diligence, and the ability to connect abstract concepts with real-world applications. Strategies for effective math learning include a multifaceted approach, including classroom instruction, online courses, homework, tutoring, and personalized AI support. 

So, don’t let math anxiety hold you back; take advantage of available resources and technology to enhance your knowledge base and enjoy the benefits of math learning.

National Council of Teachers of Mathematics, “Principles to Actions: Ensuring Mathematical Success for All” , April 2014

Project Lead The Way Research Report, “The Power of Transportable Skills: Assessing the Demand and Value of the Skills of the Future” , 2020

Page. M, “Why Develop Quantitative and Qualitative Data Analysis Skills?” , 2016

Mann. EL, Creativity: The Essence of Mathematics, Journal for the Education of the Gifted. Vol. 30, No. 2, 2006, pp. 236–260, http://www.prufrock.com ’

Nakakoji Y, Wilson R.” Interdisciplinary Learning in Mathematics and Science: Transfer of Learning for 21st Century Problem Solving at University ”. J Intell. 2020 Sep 1;8(3):32. doi: 10.3390/jintelligence8030032. PMID: 32882908; PMCID: PMC7555771.

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The best way to learn and teach with AI is here. Ace the school year with our AI-powered guide, Khanmigo. 

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A daughter sits at a desk doing homework while her mom stands beside her helping

Credit: August de Richelieu

Does homework still have value? A Johns Hopkins education expert weighs in

Joyce epstein, co-director of the center on school, family, and community partnerships, discusses why homework is essential, how to maximize its benefit to learners, and what the 'no-homework' approach gets wrong.

By Vicky Hallett

The necessity of homework has been a subject of debate since at least as far back as the 1890s, according to Joyce L. Epstein , co-director of the Center on School, Family, and Community Partnerships at Johns Hopkins University. "It's always been the case that parents, kids—and sometimes teachers, too—wonder if this is just busy work," Epstein says.

But after decades of researching how to improve schools, the professor in the Johns Hopkins School of Education remains certain that homework is essential—as long as the teachers have done their homework, too. The National Network of Partnership Schools , which she founded in 1995 to advise schools and districts on ways to improve comprehensive programs of family engagement, has developed hundreds of improved homework ideas through its Teachers Involve Parents in Schoolwork program. For an English class, a student might interview a parent on popular hairstyles from their youth and write about the differences between then and now. Or for science class, a family could identify forms of matter over the dinner table, labeling foods as liquids or solids. These innovative and interactive assignments not only reinforce concepts from the classroom but also foster creativity, spark discussions, and boost student motivation.

"We're not trying to eliminate homework procedures, but expand and enrich them," says Epstein, who is packing this research into a forthcoming book on the purposes and designs of homework. In the meantime, the Hub couldn't wait to ask her some questions:

What kind of homework training do teachers typically get?

Future teachers and administrators really have little formal training on how to design homework before they assign it. This means that most just repeat what their teachers did, or they follow textbook suggestions at the end of units. For example, future teachers are well prepared to teach reading and literacy skills at each grade level, and they continue to learn to improve their teaching of reading in ongoing in-service education. By contrast, most receive little or no training on the purposes and designs of homework in reading or other subjects. It is really important for future teachers to receive systematic training to understand that they have the power, opportunity, and obligation to design homework with a purpose.

Why do students need more interactive homework?

If homework assignments are always the same—10 math problems, six sentences with spelling words—homework can get boring and some kids just stop doing their assignments, especially in the middle and high school years. When we've asked teachers what's the best homework you've ever had or designed, invariably we hear examples of talking with a parent or grandparent or peer to share ideas. To be clear, parents should never be asked to "teach" seventh grade science or any other subject. Rather, teachers set up the homework assignments so that the student is in charge. It's always the student's homework. But a good activity can engage parents in a fun, collaborative way. Our data show that with "good" assignments, more kids finish their work, more kids interact with a family partner, and more parents say, "I learned what's happening in the curriculum." It all works around what the youngsters are learning.

Is family engagement really that important?

At Hopkins, I am part of the Center for Social Organization of Schools , a research center that studies how to improve many aspects of education to help all students do their best in school. One thing my colleagues and I realized was that we needed to look deeply into family and community engagement. There were so few references to this topic when we started that we had to build the field of study. When children go to school, their families "attend" with them whether a teacher can "see" the parents or not. So, family engagement is ever-present in the life of a school.

My daughter's elementary school doesn't assign homework until third grade. What's your take on "no homework" policies?

There are some parents, writers, and commentators who have argued against homework, especially for very young children. They suggest that children should have time to play after school. This, of course is true, but many kindergarten kids are excited to have homework like their older siblings. If they give homework, most teachers of young children make assignments very short—often following an informal rule of 10 minutes per grade level. "No homework" does not guarantee that all students will spend their free time in productive and imaginative play.

Some researchers and critics have consistently misinterpreted research findings. They have argued that homework should be assigned only at the high school level where data point to a strong connection of doing assignments with higher student achievement . However, as we discussed, some students stop doing homework. This leads, statistically, to results showing that doing homework or spending more minutes on homework is linked to higher student achievement. If slow or struggling students are not doing their assignments, they contribute to—or cause—this "result."

Teachers need to design homework that even struggling students want to do because it is interesting. Just about all students at any age level react positively to good assignments and will tell you so.

Did COVID change how schools and parents view homework?

Within 24 hours of the day school doors closed in March 2020, just about every school and district in the country figured out that teachers had to talk to and work with students' parents. This was not the same as homeschooling—teachers were still working hard to provide daily lessons. But if a child was learning at home in the living room, parents were more aware of what they were doing in school. One of the silver linings of COVID was that teachers reported that they gained a better understanding of their students' families. We collected wonderfully creative examples of activities from members of the National Network of Partnership Schools. I'm thinking of one art activity where every child talked with a parent about something that made their family unique. Then they drew their finding on a snowflake and returned it to share in class. In math, students talked with a parent about something the family liked so much that they could represent it 100 times. Conversations about schoolwork at home was the point.

How did you create so many homework activities via the Teachers Involve Parents in Schoolwork program?

We had several projects with educators to help them design interactive assignments, not just "do the next three examples on page 38." Teachers worked in teams to create TIPS activities, and then we turned their work into a standard TIPS format in math, reading/language arts, and science for grades K-8. Any teacher can use or adapt our prototypes to match their curricula.

Overall, we know that if future teachers and practicing educators were prepared to design homework assignments to meet specific purposes—including but not limited to interactive activities—more students would benefit from the important experience of doing their homework. And more parents would, indeed, be partners in education.

Posted in Voices+Opinion

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Oryx Learning

Is It Necessary To Do Math Homework?

Mathematics is one of the most important courses in every school curriculum. After a lengthy study, students are expected to be able to perform both simple and intricate math calculations. Teachers not only teach this subject during regular class hours but also give homework to help students improve their knowledge. Math homework is necessary for a variety of reasons.

These are some of them:

Memory and cognitive capacity are improved. It’s important to remember that whatever a teacher teaches in class only accounts for a small portion of what a student is required to know. As a result, the student’s individual learning efforts contribute a larger amount. In this situation, if a student intends to pursue further education at the college or university level, he or she must master the art of independent study. Students can recall what they learned during tests or in real-life applications if they perform things on their own. As a result, math homework improves a student’s memory and critical thinking skills.

Instill good habits and study skills. When teachers assign math homework to students at lower academic levels, they are attempting to instill in them the importance of learning independently. Students who finish homework in lower classes perform better in higher levels of learning, according to studies, because teachers in those institutions do not waste time tracking students down for their tasks.

Exam preparation is essential. Exams are an important part of the learning process in all educational institutions. Teachers and parents may not be able to determine a student’s strengths and weaknesses without them. When teachers assign math homework to pupils, they do so as a means of improving their skills and sharpening their knowledge in preparation for their exams. As a result, the more math homework a student can finish, the better prepared they will be for tests.

Develop research skills. Teachers do not expect students to remember all of the knowledge when they give them math assignments. The assignment of math homework allows pupils to conduct research. Data is a tool for generating critical judgments in modern times. The ability to acquire and analyze data from a variety of sources improves a student’s research abilities. Furthermore, thanks to current technology, students now have access to online tutors who can help them with their “do my math for me” requests. Because some students are embarrassed to raise questions in class, online tutors give them a place to ask questions and get help with their math homework.

Encourages pupils to go over their notes in class. Teachers frequently assign homework based on what they have covered in class. In this instance, students can complete their assignments quickly without having to hunt for additional sources of information. If students were not given homework, there is a good probability they would spend the entire evening wasting their time and never reviewing their classwork.

Allows parents to learn about what their children are learning in class. When it comes to the well-being of students, parents are crucial. It’s necessary to recognize that getting kids to school is an important element of their development. School assists youngsters in developing the core learning abilities they require. Teachers provide parents the opportunity to examine what their children are learning in class when they assign math homework. The parent has a responsibility to assist the child during the assessment procedure. It’s important to remember that when a parent assists their child with math homework, they’re not only helping them learn something new, but they’re also strengthening the link between the parent and the child.

Allows teachers to assess the effectiveness of their lessons. Teachers might use homework to determine whether the lessons and materials they are delivering in class are effective. It serves as a platform for them to learn. When a teacher offers a math assignment, and a major portion of the class fails, this indicates that the students did not understand what the teacher was teaching. As a result, the instructor is pushed to discover a simpler way to teach their students and ensure that they understand the topics.

Oryx learning is an interactive learning platform that helps children in boosting their educational development by engaging them in different activities for learning and solving problems. It provides the option to teachers and parents of giving online homework and assignments with flexible deadlines for submission catering individual needs of learners. Teachers and parents have the option of assigning topics and skills in which their students or children need to strengthen. They can also view the progress report and identify the weak areas.

In a nutshell, math homework is important for students, instructors, and parents for a variety of reasons. It serves as a platform for parents to track their children’s development in school as well as a learning tool for kids and teachers. Contrary to what some stakeholders suggest, math homework is a crucial part of learning.

Further reading

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Neag School of Education

How to use homework to support student success.

  • by: Sandra Chafouleas
  • January 13, 2022
  • Community Engagement

Female teacher wearing mask helps young student.

Editor’s Note: Board of Trustees Distinguished Professor Sandra Chafouleas shares insights on supporting students’ homework during the pandemic in the following piece, which originally appeared  in Psychology Today , where she publishes a blog.

COVID has brought many changes in education. What does it mean for homework?

School assignments that a student is expected to do outside of the regular school day—that’s homework. The general guideline is 10 minutes of nightly homework per grade level beginning after kindergarten. This amounts to just a few minutes for younger elementary students to up to 2 hours for high school students.

The guidance seems straightforward enough, so why is homework such a controversial topic? School disruptions, including extended periods of remote learning during the COVID-19 pandemic, have magnified the controversies yet also have provided an opportunity to rethink the purpose and value of homework.

Debates about the value of homework center around two primary issues: amount and inequity.

First, the amount of assigned homework may be much more than the recommended guidelines. Families report their children are stressed out over the time spent doing homework. Too much homework can challenge well-being given the restricted time available for sleep, exercise, and social connection. In a 2015 study , for example, parents reported their early elementary children received almost three times the recommended guidelines. In high school, researchers found an average of three hours of homework per night for students living in economically privileged communities.

“ Debates about the value of homework center around two primary issues: amount and inequity.”

Second, homework can perpetuate inequities. Students attending school in less economically privileged communities may receive little to no homework, or have difficulty completing it due to limited access to needed technology. This can translate into fewer opportunities to learn and may contribute to gaps in achievement.

There isn’t a ton of research on the effects of homework, and available studies certainly do not provide a simple answer. For example, a 2006 synthesis of studies suggested a positive influence between homework completion and academic achievement for middle and high school students. Supporters also point out that homework offers additional opportunities to engage in learning and that it can foster independent learning habits such as planning and a sense of responsibility. A more recent study involving 13-year-old students in Spain found higher test scores for those who were regularly assigned homework in math and science, with an optimal time around one hour—which is roughly aligned with recommendations. However, the researchers noted that ability to independently do the work, student effort, and prior achievement were more important contributors than time spent.

Opponents of homework maintain that the academic benefit does not outweigh the toll on well-being. Researchers have observed student stress, physical health problems, and lack of life balance, especially when the time spent goes over the recommended guidelines. In a survey of adolescents , over half reported the amount and type of homework they received to be a primary source of stress in their lives. In addition, vast differences exist in access and availability of supports, such as internet connection, adult assistance, or even a place to call home, as 1.5 million children experience homelessness in the United States

The COVID-19 pandemic has re-energized discussion about homework practices, with the goal to advance recommendations about how, when, and with whom it can be best used. Here’s a summary of key strategies:

Strategies for Educators

Make sure the tasks are meaningful and matched..

First, the motto “ quality over quantity ” can guide decisions about homework. Homework is not busy-work, and instead should get students excited about learning. Emphasize activities that facilitate choice and interest to extend learning, like choose your own reading adventure or math games. Second, each student should be able to complete homework independently with success. Think about Goldilocks: To be effective, assignments should be just right for each learner. One example of how do this efficiently is through online learning platforms that can efficiently adjust to skill level and can be completed in a reasonable amount of time.

Ensure access to resources for task completion.

One step toward equity is to ensure access to necessary resources such as time, space, and materials. Teach students about preparing for homework success, allocating classroom time to model and practice good study habits such as setting up their physical environment, time management, and chunking tasks. Engage in conversations with students and families to problem-solve challenges When needed, connect students with homework supports available through after-school clubs, other community supports, or even within a dedicated block during the school day.

Be open to revisiting homework policies and practices.

The days of penalizing students for not completing homework should be long gone. Homework is a tool for practicing content and learning self-management. With that in mind, provide opportunities for students to communicate needs, and respond by revising assignments or allowing them to turn in on alternative dates. Engage in adult professional learning about high-quality homework , from value (Should I assign this task?) to evaluation (How should this be graded? Did that homework assignment result in expected outcomes?). Monitor how things are going by looking at completion rates and by asking students for their feedback. Be willing to adapt the homework schedule or expectations based on what is learned.

Strategies for Families

Understand how to be a good helper..

When designed appropriately, students should be able to complete homework with independence. Limit homework wars by working to be a good helper. Hovering, micromanaging, or doing homework for them may be easiest in the moment but does not help build their independence. Be a good helper by asking guiding questions, providing hints, or checking for understanding. Focus your assistance on setting up structures for homework success, like space and time.

Use homework as a tool for communication.

Use homework as a vehicle to foster family-school communication. Families can use homework as an opportunity to open conversations about specific assignments or classes, peer relationships, or even sleep quality that may be impacting student success. For younger students, using a daily or weekly home-school notebook or planner can be one way to share information. For older students, help them practice communicating their needs and provide support as needed.

Make sure to balance wellness.

Like adults, children need a healthy work-life balance. Positive social connection and engagement in pleasurable activities are important core principles to foster well-being . Monitor the load of homework and other structured activities to make sure there is time in the daily routine for play. Play can mean different things to different children: getting outside, reading for pleasure, and yes, even gaming. Just try to ensure that activities include a mix of health-focused activities such as physical movement or mindfulness downtime.

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“Homework Should Be…but We Do Not Live in an Ideal World”: Mathematics Teachers’ Perspectives on Quality Homework and on Homework Assigned in Elementary and Middle Schools

Pedro rosário.

1 Departamento de Psicologia Aplicada, Escola de Psicologia, Universidade do Minho, Braga, Portugal

Jennifer Cunha

Tânia nunes, ana rita nunes, tânia moreira, josé carlos núñez.

2 Departamento de Psicología, Universidad de Oviedo, Oviedo, Spain

Associated Data

Existing literature has analyzed homework characteristics associated with academic results. Researchers and educators defend the need to provide quality homework, but there is still much to be learned about the characteristics of quality homework (e.g., purposes, type). Acknowledging that teachers play an important role in designing and assigning homework, this study explored teachers’ perspectives regarding: (i) the characteristics of quality homework and (ii) the characteristics of the homework tasks assigned. In the current study, mathematics teachers from elementary and middle schools ( N = 78) participated in focus group discussions. To enhance the trustworthiness of the findings, homework tasks assigned by 25% of the participants were analyzed for triangulation of data purposes. Data were analyzed using thematic analysis for elementary and middle school separately. Teachers discussed the various characteristics of quality homework (e.g., short assignments, adjusted to the availability of students) and shared the characteristics of the homework tasks typically assigned, highlighting a few differences (e.g., degree of individualization of homework, purposes) between these two topics. Globally, data on the homework tasks assigned were consistent with teachers’ reports about the characteristics of the homework tasks they usually assigned. Findings provide valuable insights for research and practice aimed to promote the quality of homework and consequently students’ learning and progress.

Introduction

The extensive literature on homework suggests the importance of completing homework tasks to foster students’ academic achievement (e.g., Trautwein and Lüdtke, 2009 ; Hagger et al., 2015 ; Núñez et al., 2015a ; Valle et al., 2016 ; Fernández-Alonso et al., 2017 ). However, existing research also indicate that the amount of homework assigned is not always related to high academic achievement ( Epstein and Van Voorhis, 2001 ; Epstein and Van Voorhis, 2012 ). In the words of Dettmers et al. (2010) “homework works if quality is high” (p. 467). However, further research is needed to answer the question “What is quality homework?”.

Teachers are responsible for designing and assigning homework, thus our knowledge on their perspectives about this topic and the characteristics of the homework typically assigned is expected to be a relevant contribution to the literature on the quality of homework. Moreover, data on the characteristics of homework could provide valuable information to unveil the complex network of relationships between homework and academic achievement (e.g., Cooper, 2001 ; Trautwein and Köller, 2003 ; Trautwein et al., 2009a ; Xu, 2010 ).

Thus, focusing on the perspective of mathematics teachers from elementary and middle school, the aims of the present study are twofold: to explore the characteristics of quality homework, and to identify the characteristics of the homework tasks typically assigned at these school levels. Findings may help deepen our understanding of why homework may impact differently the mathematics achievement of elementary and middle school students (see Fan et al., 2017 ).

Research Background on Homework Characteristics

Homework is a complex educational process involving a diverse set of variables that each may influence students’ academic outcomes (e.g., Corno, 2000 ; Trautwein and Köller, 2003 ; Cooper et al., 2006 ; Epstein and Van Voorhis, 2012 ). Cooper (1989 , 2001 ) presented a model outlining the factors that may potentially influence the effect of homework at the three stages of the homework process (i.e., design of the homework assignment, completion of homework and homework follow-up practices). At the first stage teachers are expected to consider class characteristics (e.g., students’ prior knowledge, grade level, number of students per class), and also variables that may influence the impact of homework on students’ outcomes, such as homework assignment characteristics. In 1989, Cooper (see also Cooper et al., 2006 ) presented a list of the characteristics of homework assignments as follows: amount (comprising homework frequency and length), purpose, skill area targeted, degree of individualization, student degree of choice, completion deadlines, and social context. Based on existing literature, Trautwein et al. (2006b) proposed a distinct organization for the assignment characteristics. The proposal included: homework frequency (i.e., how often homework assignments are prescribed to students), quality, control, and adaptivity. “Homework frequency” and “adaptivity” are similar to “amount” and “degree of individualization” in Cooper’s model, respectively. Both homework models provide a relevant theoretical framework for the present study.

Prior research has analyzed the relationship between homework variables, students’ behaviors and academic achievement, and found different results depending on the variables examined (see Trautwein et al., 2009b ; Fan et al., 2017 ). For example, while homework frequency consistently and positively predicted students’ academic achievement (e.g., Trautwein et al., 2002 ; Trautwein, 2007 ; Fernández-Alonso et al., 2015 ), findings regarding the amount of homework assigned (usually assessed by the time spent on homework) have shown mixed results (e.g., Trautwein, 2007 ; Dettmers et al., 2009 ; Núñez et al., 2015a ). Data indicated a positive association between the amount of homework and students’ academic achievement in high school (e.g., OECD, 2014a ); however, this relationship is almost null in elementary school (e.g., Cooper et al., 2006 ; Rosário et al., 2009 ). Finally, other studies reported a negative association between time spent on homework and students’ academic achievement at different school levels (e.g., Trautwein et al., 2009b ; Rosário et al., 2011 ; Núñez et al., 2015a ).

Homework purposes are among the factors that may influence the effect of homework on students’ homework behaviors and academic achievement ( Cooper, 2001 ; Trautwein et al., 2009a ; Epstein and Van Voorhis, 2012 ; Rosário et al., 2015 ). In his model Cooper (1989 , 2001 ) reported instructional purposes (i.e., practicing or reviewing, preparation, integration and extension) and non-instructional purposes (i.e., parent-child communication, fulfilling directives, punishment, and community relations). Depending on their nature, homework instructional purposes may vary throughout schooling ( Muhlenbruck et al., 2000 ; Epstein and Van Voorhis, 2001 ). For example, in elementary school, teachers are likely to use homework as an opportunity to review the content taught in class, while in secondary school (6th–12th grade), teachers are prone to use homework to prepare students for the content to be learned in subsequent classes ( Muhlenbruck et al., 2000 ). Still, studies have recently shown that practicing the content learned is the homework purpose most frequently used throughout schooling (e.g., Xu and Yuan, 2003 ; Danielson et al., 2011 ; Kaur, 2011 ; Bang, 2012 ; Kukliansky et al., 2014 ). Studies using quantitative methodologies have analyzed the role played by homework purposes in students’ effort and achievement ( Trautwein et al., 2009a ; Rosário et al., 2015 , 2018 ), and reported distinct results depending on the subject analyzed. For example, Foyle et al. (1990) found that homework assignments with the purposes of practice and preparation improved the performance of 5th-grade students’ social studies when compared with the no-homework group. However, no statistical difference was found between the two types of homework purposes analyzed (i.e., practice and preparation). When examining the homework purposes reported by 8th-grade teachers of French as a Second Language (e.g., drilling and practicing, motivating, linking school and home), Trautwein et al. (2009a) found that students in classes assigned tasks with high emphasis on motivation displayed more effort and achieved higher outcomes than their peers. On the contrary, students in classes assigned tasks with high drill and practice reported less homework effort and achievement ( Trautwein et al., 2009a ). A recent study by Rosário et al. (2015) analyzed the relationship between homework assignments with various types of purposes (i.e., practice, preparation and extension) and 6th-grade mathematics achievement. These authors reported that homework with the purpose of “extension” impacted positively on students’ academic achievement while the other two homework purposes did not.

Cooper (1989 , 2001 ) identified the “degree of individualization” as a characteristic of homework focused on the need to design homework addressing different levels of performance. For example, some students need to be assigned practice exercises with a low level of difficulty to help them reach school goals, while others need to be assigned exercises with high levels of complexity to foster their motivation for homework ( Trautwein et al., 2002 ). When there is a disparity between the level of difficulty of homework assignments and students’ skills level, students may have to spend long hours doing homework, and they may experience negative emotions or even avoid doing homework ( Corno, 2000 ). On the contrary, when homework assignments meet students’ learning needs (e.g., Bang, 2012 ; Kukliansky et al., 2014 ), both students’ homework effort and academic achievement increase (e.g., Trautwein et al., 2006a ; Zakharov et al., 2014 ). Teachers may also decide on the time given to students to complete their homework ( Cooper, 1989 ; Cooper et al., 2006 ). For example, homework may be assigned to be delivered in the following class (e.g., Kaur et al., 2004 ) or within a week (e.g., Kaur, 2011 ). However, research on the beneficial effects of each practice is still limited.

Trautwein et al. (2006b) investigated homework characteristics other than those previously reported. Their line of research analyzed students’ perception of homework quality and homework control (e.g., Trautwein et al., 2006b ; Dettmers et al., 2010 ). Findings on homework quality (e.g., level of difficulty of the mathematics exercises, Trautwein et al., 2002 ; homework “cognitively activating” and “well prepared”, Trautwein et al., 2006b , p. 448; homework selection and level of challenge, Dettmers et al., 2010 ; Rosário et al., 2018 ) varied regarding the various measures and levels of analysis considered. For example, focusing on mathematics, Trautwein et al. (2002) concluded that “demanding” exercises improved 7th-grade students’ achievement at student and class levels, while “repetitive exercises” impacted negatively on students’ achievement. Dettmers et al. (2010) found that homework assignments perceived by students as “well-prepared and interesting” (p. 471) positively predicted 9th- and 10th-grade students’ homework motivation (expectancy and value beliefs) and behavior (effort and time) at student and class level, and mathematics achievement at class level only. These authors also reported that “cognitively challenging” homework (p. 471), as perceived by students, negatively predicted students’ expectancy beliefs at both levels, and students’ homework effort at student level ( Dettmers et al., 2010 ). Moreover, this study showed that “challenging homework” significantly and positively impacted on students’ mathematics achievement at class level ( Dettmers et al., 2010 ). At elementary school, homework quality (assessed through homework selection) predicted positively 6th-grade students’ homework effort, homework performance, and mathematics achievement ( Rosário et al., 2018 ).

Finally, Trautwein and colleagues investigated the variable “homework control” perceived by middle school students and found mixed results. The works by Trautwein and Lüdtke (2007 , 2009 ) found that “homework control” predicted positively students’ homework effort in mathematics, but other studies (e.g., Trautwein et al., 2002 , 2006b ) did not predict homework effort and mathematics achievement.

The Present Study

A vast body of research indicates that homework enhances students’ academic achievement [see the meta-analysis conducted by Fan et al. (2017) ], however, maladaptive homework behaviors of students (e.g., procrastination, lack of interest in homework, failure to complete homework) may affect homework benefits ( Bembenutty, 2011a ; Hong et al., 2011 ; Rosário et al., 2019 ). These behaviors may be related to the characteristics of the homework assigned (e.g., large amount of homework, disconnect between the type and level of difficulty of homework assignments and students’ needs and abilities, see Margolis and McCabe, 2004 ; Trautwein, 2007 ).

Homework is only valuable to students’ learning when its quality is perceived by students ( Dettmers et al., 2010 ). Nevertheless, little is known about the meaning of homework quality for teachers who are responsible for assigning homework. What do teachers understand to be quality homework? To our knowledge, the previous studies exploring teachers’ perspectives on their homework practices did not relate data with quality homework (e.g., Xu and Yuan, 2003 ; Danielson et al., 2011 ; Kaur, 2011 ; Bang, 2012 ; Kukliansky et al., 2014 ). For example, Kukliansky et al. (2014) found a disconnect between middle school science teachers’ perspectives about their homework practices and their actual homework practices observed in class. However, results were not further explained.

The current study aims to explore teachers’ perspectives on the characteristics of quality homework, and on the characteristics underlying the homework tasks assigned. Findings are expected to shed some light on the role of teachers in the homework process and contribute to maximize the benefits of homework. Our results may be useful for either homework research (e.g., by informing new quantitative studies grounded on data from teachers’ perspectives) or educational practice (e.g., by identifying new avenues for teacher training and the defining of guidelines for homework practices).

This study is particularly important in mathematics for the following reasons: mathematics is among the school subjects where teachers assign the largest amount of homework (e.g., Rønning, 2011 ; Xu, 2015 ), while students continue to yield worrying school results in the subject, especially in middle and high school ( Gottfried et al., 2007 ; OECD, 2014b ). Moreover, a recent meta-analysis focused on mathematics and science homework showed that the relationship between homework and academic achievement in middle school is weaker than in elementary school ( Fan et al., 2017 ). Thus, we collected data through focus group discussions with elementary and middle school mathematics teachers in order to analyze any potential variations in their perspectives on the characteristics of quality homework, and on the characteristics of homework tasks they typically assign. Regarding the latter topic, we also collected photos of homework tasks assigned by 25% of the participating teachers in order to triangulate data and enhance the trustworthiness of our findings.

Our exploratory study was guided by the following research questions:

  • simple (1) How do elementary and middle school mathematics teachers perceive quality homework?
  • simple (2) How do elementary and middle school mathematics teachers describe the homework tasks they typically assign to students?

Materials and Methods

The study context.

Despite recommendations of the need for clear homework policies (e.g., Cooper et al., 2006 ; Bembenutty, 2011b ), Portugal has no formal guidelines for homework (e.g., concerning the frequency, length, type of tasks). Still, many teachers usually include homework as part of students’ overall grade and ask parents to monitor their children’s homework completion. Moreover, according to participants there is no specific training on homework practices for pre-service or in-service teachers.

The Portuguese educational system is organized as follows: the last two years of elementary school encompass 5th and 6th grade (10 and 11 years old), while middle school encompasses 7th, 8th, and 9th grade (12 to 14 years old). At the two school levels mentioned, mathematics is a compulsory subject and students attend three to five mathematics lessons per week depending on the duration of each class (270 min per week for Grades 5 and 6, and 225 min per week for Grades 7–9). All students are assessed by their mathematics teacher (through continuous assessment tests), and at the end of elementary and middle school levels (6th and 9th grade) students are assessed externally through a national exam that counts for 30% of the overall grade. In Portuguese schools assigning homework is a frequently used educational practice, mostly in mathematics, and usually counts toward the overall grade, ranging between 2% and 5% depending on school boards ( Rosário et al., 2018 ).

Participants

In the current study, all participants were involved in focus groups and 25% of them, randomly selected, were asked to submit photos of homework tasks assigned.

According to Morgan (1997) , to maximize the discussion among participants it is important that they share some characteristics and experiences related to the aims of the study in question. In the current study, teachers were eligible to participate when the following criteria were met: (i) they had been teaching mathematics at elementary or middle school levels for at least two years; and (ii) they would assign homework regularly, at least twice a week, in order to have enough experiences to share in the focus group.

All mathematics teachers ( N = 130) from 25 elementary and middle schools in Northern Portugal were contacted by email. The email informed teachers of the purposes and procedures of the study (e.g., inclusion criteria, duration of the session, session videotaping, selection of teachers to send photos of homework tasks assigned), and invited them to participate in the study. To facilitate recruitment, researchers scheduled focus group discussions considering participants’ availability. Of the volunteer teachers, all participants met the inclusion criteria. The research team did not allocate teachers with hierarchical relationships in the same group, as this might limit freedom of responses, affect the dynamics of the discussion, and, consequently, the outcomes ( Kitzinger, 1995 ).

Initially we conducted four focus groups with elementary school teachers (5th and 6th grade, 10 and 11 years old) and four focus groups with middle school teachers (7th, 8th, and 9th grade, 12, 13 and 14 years old). Subsequently, two additional focus group discussions (one for each school level) were conducted to ensure the saturation of data. Finally, seventy-eight mathematics teachers (61 females and 17 males; an acceptance rate of 60%) from 16 schools participated in our study (see Table 1 ). The teachers enrolled in 10 focus groups comprised of seven to nine teachers per group. Twenty teachers were randomly selected and asked to participate in the second data collection; all answered positively to our invitation (15 females and 5 males).

Participants’ demographic information.

According to our participants, in the school context, mathematics teachers may teach one to eight classes of different grade levels. In the current research, participants were teaching one to five classes of two or three grade levels at schools in urban or near urban contexts. The participants practiced the mandatory nationwide curriculum and a continuous assessment policy.

Data Collection

We carried out this study following the recommendations of the ethics committee of the University of Minho. All teachers gave written informed consent to participate in the research in accordance with the Declaration of Helsinki. The collaboration involved participating in one focus group discussion, and, for 25% of the participants, submitting photos by email of the homework tasks assigned.

In the current study, aiming to deepen our comprehension of the research questions, focus group interviews were conducted to capture participants’ thoughts about a particular topic ( Kitzinger, 1995 ; Morgan, 1997 ). The focus groups were conducted by two members of the research team (a moderator and a field note-taker) in the first term of the school year and followed the procedure described by Krueger and Casey (2000) . To prevent mishandling the discussions and to encourage teachers to participate in the sessions, the two facilitators attended a course on qualitative research offered at their home institution specifically targeting focus group methodology.

All focus group interviews were videotaped. The sessions were held in a meeting room at the University of Minho facilities, and lasted 90 to 105 min. Before starting the discussion, teachers filled in a questionnaire with sociodemographic information, and were invited to read and sign a written informed consent form. Researchers introduced themselves, and read out the information regarding the study purpose and the focus group ground rules. Participants were ensured of the confidentiality of their responses (e.g., names and researchers’ personal notes that might link participants to their schools were deleted). Then, the investigators initiated the discussion (see Table 2 ). At the end of each focus group discussion, participants were given the opportunity to ask questions or make further contributions.

Focus group questions.

After the focus group discussions, we randomly selected 25% of the participating teachers (i.e., 10 teachers from each school level), each asked to submit photos of the homework tasks assigned by email over the course of three weeks (period between two mathematics assessment tests). This data collection aimed to triangulate data from focus groups regarding the characteristics of homework usually assigned. To encourage participation, the research team sent teachers a friendly reminder email every evening throughout the period of data collection. In total, we received 125 photos (51% were from middle school teachers).

Data Analysis

Videotapes were used to assist the verbatim transcription of focus group data. Both focus group data and photos of the homework assignments were analyzed using thematic analysis ( Braun and Clarke, 2006 ), assisted by QSR International’s NVivo 10 software ( Richards, 2005 ). In this analysis there are no rigid guidelines on how to determine themes; to assure that the analysis is rigorous, researchers are expected to follow a consistent procedure throughout the analysis process ( Braun and Clarke, 2006 ). For the current study, to identify themes and sub-themes, we used the extensiveness of comments criterion (number of participants who express a theme, Krueger and Casey, 2000 ).

Firstly, following an inductive process one member of the research team read the first eight focus group transcriptions several times, took notes on the overall ideas of the data, and made a list of possible codes for data at a semantic level ( Braun and Clarke, 2006 ). Using a cluster analysis by word similarity procedure in Nvivo, all codes were grouped in order to identify sub-themes and themes posteriorly. All the themes and sub-themes were independently and iteratively identified and compared with the literature on homework ( Peterson and Irving, 2008 ). Then, the themes and sub-themes were compared with the homework characteristics already reported in the literature (e.g., Cooper, 1989 ; Epstein and Van Voorhis, 2001 ; Trautwein et al., 2006b ). New sub-themes emerged from participants’ discourses (i.e., “adjusted to the availability of students,” “teachers diagnose learning”), and were grouped in the themes reported in the literature. After, all themes and sub-themes were organized in a coding scheme (for an example see Table 3 ). Finally, the researcher coded the two other focus group discussions, no new information was added related to the research questions. Given that the generated patterns of data were not changed, the researcher concluded that thematic saturation was reached.

Examples of the coding scheme.

An external auditor, trained on the coding scheme, revised all transcriptions, the coding scheme and the coding process in order to minimize researchers’ biases and increase the trustworthiness of the study ( Lincoln and Guba, 1985 ). The first author and the external auditor examined the final categorization of data and reached consensus.

Two other members of the research team coded independently the photos of the homework assignments using the same coding scheme of the focus groups. To analyze data, the researchers had to define the sub-themes “short assignments” (i.e., up to three exercises) and “long assignments” (i.e., more than three exercises). In the end, the two researchers reviewed the coding process and discussed the differences found (e.g., some exercises had several sub questions, so one of the researchers coded it as “long assignments”; see the homework sample 4 of the Supplementary Material ). However, the researchers reached consensus, deciding not to count the number of sub questions of each exercise individually, because these types of questions are related and do not require a significant amount of additional time.

Inter-rater reliability (Cohen’s Kappa) was calculated. The Cohen’s Kappa was 0.86 for the data analysis of the focus groups and 0.85 for data analysis of the photos of homework assignments, which is considered very good according to Landis and Koch (1977) . To obtain a pattern of data considering the school levels, a matrix coding query was run for each data source (i.e., focus groups and photos of homework assignments). Using the various criteria options in NVivo 10, we crossed participants’ classifications (i.e., school level attribute) and nodes and displayed the frequencies of responses for each row–column combination ( Bazeley and Jackson, 2013 ).

In the end of this process of data analysis, for establishing the trustworthiness of findings, 20 teachers (i.e., ten participants of each grade level) were randomly invited, and all agreed, to provide a member check of the findings ( Lincoln and Guba, 1985 ). Member checking involved two phases. First, teachers were asked individually to read a summary of the findings and to fill in a 5-point Likert scale (1, completely disagree; 5, completely agree) with four items: “Findings reflect my perspective regarding homework quality”; “Findings reflect my perspective regarding homework practices”; “Findings reflect what was discussed in the focus group where I participated”, and “I feel that my opinion was influenced by the other teachers during the discussion” (inverted item). Secondly, teachers were gathered by school level and asked to critically analyze and discuss whether an authentic representation was made of their perspectives regarding quality homework and homework practices ( Creswell, 2007 ).

This study explored teachers’ perspectives on the characteristics of quality homework, and on the characteristics of the homework tasks typically assigned. To report results, we used the frequency of occurrence criterion of the categories defined by Hill et al. (2005) . Each theme may be classified as “General” when all participants, or all except one, mention a particular theme; “Typical” when more than half of the cases mention a theme; “Variant” when more than 3, and less than half of the cases mention a theme; and “Rare” when the frequency is between 2 and 3 cases. In the current study, only general and typical themes were reported to discuss the most salient data.

The results section was organized by each research question. Throughout the analysis of the results, quotes from participants were presented to illustrate data. For the second research question, data from the homework assignments collected as photographs were also included.

Initial Data Screening

All participating teachers defended the importance of completing homework, arguing that homework can help students to develop their learning and to engage in school life. Furthermore, participants also agreed on the importance of delivering this message to students. Nevertheless, all teachers acknowledged that assigning homework daily present a challenge to their teaching routine because of the heavy workload faced daily (e.g., large numbers of students per class, too many classes to teach, teaching classes from different grade levels which means preparing different lessons, administrative workload).

Teachers at both school levels talked spontaneously about the nature of the tasks they usually assign, and the majority reported selecting homework tasks from a textbook. However, participants also referred to creating exercises fit to particular learning goals. Data collected from the homework assigned corroborated this information. Most of participating teachers reported that they had not received any guidance from their school board regarding homework.

How do Elementary and Middle School Teachers Perceive Quality Homework?

Three main themes were identified by elementary school teachers (i.e., instructional purposes, degree of individualization/adaptivity, and length of homework) and two were identified by middle school teachers (i.e., instructional purposes, and degree of individualization/adaptivity). Figure 1 depicts the themes and sub-themes reported by teachers in the focus groups.

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Characteristics of quality homework reported by mathematics teachers by school level.

In all focus group discussions, all teachers from elementary and middle school mentioned “instructional purposes” as the main characteristic of quality homework. When asked to further explain the importance of this characteristic, teachers at both school levels in all focus group talked about the need for “practicing or reviewing” the content delivered in class to strengthen students’ knowledge. A teacher illustrated this idea clearly: “it is not worth teaching new content when students do not master the material previously covered” (P1 FG3). This idea was supported by participants in all focus groups; “at home they [students] have to work on the same content as those taught in class” (P1 FG7), “students have to revisit exercises and practice” (P2 FG9), “train over and over again” (P6 FG1), “practice, practice, practice” (P4 FG2).

While discussing the benefits of designing homework with the purpose of practicing the content learned, teachers at both school levels agreed on the fact that homework may be a useful tool for students to diagnose their own learning achievements while working independently. Teachers were empathetic with their peers when discussing the instrumentality of homework as a “thermometer” for students to assess their own progress. This idea was discussed in similar ways in all focus group, as the following quotation illustrates:

P2 FG1: Homework should be a bridge between class and home… students are expected to work independently, learn about their difficulties when doing homework, and check whether they understood the content.

When asked to outline other characteristics of quality homework, several elementary school teachers in all focus group mentioned that quality homework should also promote “student development” as an instructional purpose. These participants explained that homework is an instructional tool that should be designed to “foster students’ autonomy” (P9 FG4), “develop study habits and routines” (P1 FG8), and “promote organization skills and study methods” (P6 FG7). These thoughts were unanimous among participants in all focus groups. While some teachers introduced real-life examples to illustrate the ideas posited by their colleagues, others nodded their heads in agreement.

In addition, some elementary school teachers observed that homework tasks requiring transference of knowledge could help develop students’ complex thinking, a highly valued topic in the current mathematics curriculum worldwide. Teachers discussed this topic enthusiastically in two opposite directions: while some teachers defended this purpose as a characteristic of quality homework, others disagreed, as the following conversation excerpt illustrates:

P7 FG5: For me good homework would be a real challenge, like a problem-solving scenario that stimulates learning transference and develops mathematical reasoning … mathematical insight. It’s hard because it forces them [students] to think in more complex ways; still, I believe this is the type of homework with the most potential gains for them.

P3 FG5: That’s a good point, but they [students] give up easily. They just don’t do their homework. This type of homework implies competencies that the majority of students do not master…

P1 FG5: Not to mention that this type of homework takes up a lot of teaching time… explaining, checking…, and we simply don’t have time for this.

Globally, participants agreed on the potential of assigning homework with the purpose of instigating students to transfer learning to new tasks. However, participants also discussed the limitations faced daily in their teaching (e.g., number of students per class, students’ lack of prior knowledge) and concluded that homework with this purpose hinders the successful development of their lesson plans. This perspective may help explain why many participants did not perceive this purpose as a significant characteristic of quality homework. Further commenting on the characteristics of quality homework, the majority of participants at both school levels agreed that quality homework should be tailored to meet students’ learning needs. The importance of individualized homework was intensely discussed in all focus groups, and several participants suggested the need for designing homework targeted at a particular student or groups of students with common education needs. The following statements exemplifies participants’ opinions:

P3 FG3: Ideally, homework should be targeted at each student individually. For André a simple exercise, for Ana a more challenging exercise … in an ideal world homework should be tailored to students’ needs.

P6 FG6: Given the diversity of students in our classes, we may find a rainbow of levels of prior knowledge… quality homework should be as varied as our students’ needs.

As discussed in the focus groups, to foster the engagement of high-achievers in homework completion, homework tasks should be challenging enough (as reported previously by P3 FG3). However, participants at both school levels observed that their heavy daily workload prevents them from assigning individualized homework:

P1 FG1: I know it’s important to assign differentiated homework tasks, and I believe in it… but this option faces real-life barriers, such as the number of classes we have to teach, each with thirty students, tons of bureaucratic stuff we have to deal with… All this raises real-life questions, real impediments… how can we design homework tasks for individual students?

Considering this challenge, teachers from both school levels suggested that quality homework should comprise exercises with increasing levels of difficulty. This strategy would respond to the heterogeneity of students’ learning needs without assigning individualized homework tasks to each student.

While discussing individualized homework, elementary school teachers added that assignments should be designed bearing in mind students’ availability (e.g., school timetable, extracurricular activities, and exam dates). Participants noted that teachers should learn the amount of workload their students have, and should be aware about the importance of students’ well-being.

P4 FG1: If students have large amounts of homework, this could be very uncomfortable and even frustrating… They have to do homework of other subjects and add time to extracurricular activities… responding to all demands can be very stressful.

P4 FG2: I think that we have to learn about the learning context of our students, namely their limitations to complete homework in the time they have available. We all have good intentions and want them to progress, but if students do not have enough time to do their homework, this won’t work. So, quality homework would be, for example, when students have exams and the teacher gives them little or no homework at all.

The discussion about the length of homework found consensus among the elementary school teachers in all focus group in that quality homework should be “brief”. During the discussions, elementary school teachers further explained that assigning long tasks is not beneficial because “they [students] end up demotivated” (P3 FG4). Besides, “completing long homework assignments takes hours!” (P5 FG4).

How do Elementary and Middle School Teachers Describe the Homework Tasks They Typically Assign to Students?

When discussing the characteristics of the homework tasks usually assigned to their students four main themes were identified by elementary school teachers (i.e., instructional purposes, degree of individualization/adaptivity, frequency and completion deadlines), and two main themes were raised by middle school (i.e., instructional purposes, and degree of individualization/adaptivity). Figure 2 gives a general overview of the findings. Data gathered from photos added themes to findings as follows: one (i.e., length) to elementary school and two (i.e., length and completion deadlines) to middle school (see Figure 3 ).

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Characteristics of the homework tasks usually assigned as reported by mathematics teachers.

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Characteristics of the homework tasks assigned by mathematics teachers.

While describing the characteristics of the homework tasks usually assigned, teachers frequently felt the need to compare the quality homework characteristics previously discussed with those practices. In fact, at this stage, teachers’ discourse was often focused on the analysis of the similarities and potential discrepancies found.

The majority of teachers at both school levels in all focus group reported that they assign homework with the purpose of practicing and reviewing the materials covered earlier. Participants at both school levels highlighted the need to practice the contents covered because by the end of 6th- and 9th-grade students have to sit for a national exam for which they have to be trained. This educational context may interfere with the underlying homework purposes teachers have, as this quotation illustrates:

P3 FG3: When teaching mathematics, we set several goals, but our main focus is always the final exam they [students] have to take. I like students who think for themselves, who push themselves out of their comfort zone. However, I’m aware that they have to score high on national exams, otherwise… so, I assign homework to practice the contents covered.

Beyond assigning homework with the purpose of practicing and reviewing, middle school teachers also mentioned assigning homework with the purpose of diagnosing skills and personal development (see Figure 2 ). Many teachers reported that they use homework as a tool to diagnose students’ skills. However, several recognized that they had previously defended the importance of homework to help students to evaluate their own learning (see Figure 1 ). When discussing the latter point, participants observed the need to find out about whether students had understood the content taught in class, and to decide which changes to teaching style, homework assigned, or both may be necessary.

Participant teachers at middle school in all focus groups profusely discussed the purpose of personal development when assigning homework. In fact, not many teachers at this school level mentioned this purpose as a characteristic of quality homework (it was a variant category, so it was not reported), yet it was referred to as a cornerstone in their homework practice. Reflecting on this discrepancy, middle school teachers explained in a displeased tone that their students were expected to have developed study habits and manage their school work with autonomy and responsibility. However, this “educational scenario is rare, so I feel the need to assign homework with this aim [personal development]” (P4 FG9).

Moving further in the discussion, the majority of teachers at both school levels reported to assign whole-class homework (homework designed for the whole class with no focus on special cases). “Individualized homework requires a great amount of time to be monitored” (P1 FG6), explained several participants while recalling earlier comments. Teachers justified their position referring to the impediments already mentioned (e.g., large number of students per class, number of classes from different grade levels which means preparing different lessons). Besides, teachers discussed the challenge of coping with heterogeneous classes, as one participant noted: “the class is so diverse that it is difficult to select homework tasks to address the needs of every single student. I would like to do it…but we do not live in an ideal world” (P9 FG4).

Moreover, teachers at both school levels (see Figure 2 ) reported to assign homework according to the availability of students; still, only elementary school teachers had earlier referred to the importance of this characteristic in quality homework. When teachers were asked to elaborate on this idea, they defended the need to negotiate with students about specific homework characteristics, for example, the amount of homework and submission deadline. In some classes, matching students’ requests, teachers might assign a “weekly homework pack” (P7 FG10). This option provides students with the opportunity to complete homework according to their availability (e.g., choosing some days during the week or weekend). Teachers agreed that ‘negotiation’ fosters students’ engagement and homework compliance (e.g., “I do not agree that students do homework on weekends, but if they show their wish and actually they complete it, for me that’s okay”, P7 FG10). In addition, teachers expressed worry about their students’ often heavy workload. Many students stay in school from 8.30 am to 6.30 pm and then attend extracurricular activities (e.g., soccer training, private music lessons). These activities leave students very little free time to enjoy as they wish, as the following statement suggests:

P8 FG4: Today I talked to a group of 5th-graders which play soccer after school three times a week. They told me that sometimes they study between 10.00 and 11.00 p.m. I was astonished. How is this possible? It’s clearly too much for these kids.

Finally, elementary school teachers in all focus group referred frequency and completion deadlines as characteristics of the homework they usually assign. The majority of teachers informed that they assign homework in almost every class (i.e., teachers reported to exclude tests eves of other subjects), to be handed in the following class.

The photos of the homework assignments (see some examples in Supplementary Material ) submitted by the participating teachers served to triangulate data. The analysis showed that teachers’ discourses about the characteristics of homework assigned and the homework samples are congruent, and added information about the length of homework (elementary and middle schools) and the completion deadlines (middle school) (see Figure 3 ).

Discussion and Implications for Practice and Research

Homework research have reported teachers’ perspectives on their homework practices (e.g., Brock et al., 2007 ; Danielson et al., 2011 ; Kaur, 2011 ; Bang, 2012 ; Kukliansky et al., 2014 ), however, literature lacks research on the quality of homework. This study adds to the literature by examining the perspectives of teachers from two school levels regarding quality homework. Moreover, participants described the characteristics of the homework assignments they typically assign, which triggered the discussion about the match between the characteristics of quality homework and the tasks actually assigned. While discussing these key aspects of the homework process, the current study provides valuable information which may help deepen our understanding of the different contributions of homework to students’ learning. Furthermore, findings are expected to inform teachers and school administrators’ homework practices and, hopefully, improve the quality of students’ learning.

All teachers at both school levels valued homework as an important educational tool for their teaching practice. Consistent with the literature, participants indicated practicing or reviewing the material covered in class as the main purpose of both the homework typically assigned ( Danielson et al., 2011 ; Kaur, 2011 ) and quality homework. Despite the extended use of this homework purpose by teachers, a recent study conducted with mathematics teachers found that homework with the purpose of practicing the material covered in class did not impact significantly the academic achievement of 6th-grade students; however, homework designed with the purpose of solving problems did (extension homework) ( Rosário et al., 2015 ). Interestingly, in the current study only teachers from elementary school mentioned the homework purpose “extension” as being part of quality homework, but these teachers did not report to use it in practice (at least it was not a typical category) (see Figure 2 ). Extension homework was not referenced by middle school teachers either as quality homework or as a characteristic of homework assigned. Given that middle school students are expected to master complex math skills at this level (e.g., National Research Council and Mathematics Learning Study Committee, 2001 ), this finding may help school administrators and teachers reflect on the value and benefits of homework to students learning progress.

Moreover, teachers at both school levels stressed the use of homework as a tool to help students evaluate their own learning as a characteristic of quality homework; however, this purpose was not said to be a characteristic of the homework usually assigned. If teachers do not explicitly emphasize this homework purpose to their students, they may not perceive its importance and lose opportunities to evaluate and improve their work.

In addition, elementary school teachers identified personal development as a characteristic of quality homework. However, only middle school teachers reported assigning homework aiming to promote students’ personal development, and evaluate students’ learning (which does not imply that students evaluate their own learning). These findings are important because existing literature has highlighted the role played by homework in promoting students’ autonomy and learning throughout schooling ( Rosário et al., 2009 , 2011 ; Ramdass and Zimmerman, 2011 ; Núñez et al., 2015b ).

Globally, data show a disconnect between what teachers believe to be the characteristics of quality homework and the characteristics of the homework assigned, which should be further analyzed in depth. For example, teachers reported that middle school students lack the autonomy and responsibility expected for this school level, which translates to poor homework behaviors. In fact, contrary to what they would expect, middle school teachers reported the need to promote students’ personal development (i.e., responsibility and autonomy). This finding is consistent with the decrease of students’ engagement in academic activities found in middle school (e.g., Cleary and Chen, 2009 ; Wang and Eccles, 2012 ). This scenario may present a dilemma to middle school teachers regarding the purposes of homework. On one hand, students should have homework with more demanding purposes (e.g., extension); on another hand, students need to master work habits, responsibility and autonomy, otherwise homework may be counterproductive according to the participating teachers’ perspective.

Additionally, prior research has indicated that classes assigned challenging homework demonstrated high mathematics achievement ( Trautwein et al., 2002 ; Dettmers et al., 2010 ). Moreover, the study by Zakharov et al. (2014) found that Russian high school students from basic and advanced tracks benefited differently from two types of homework (i.e., basic short-answer questions, and open-ended questions with high level of complexity). Results showed that a high proportion of basic or complex homework exercises enhanced mathematics exam performance for students in the basic track; whereas only a high proportion of complex homework exercises enhanced mathematics exam performance for students in the advanced track. In fact, for these students, a low proportion of complex homework exercises was detrimental to their achievement. These findings, together with our own, may help explain why the relationship between homework and mathematics achievement in middle school is lower than in elementary school (see Fan et al., 2017 ). Our findings suggest the need for teachers to reflect upon the importance of assigning homework to promote students’ development in elementary school, and of assigning homework with challenging purposes as students advance in schooling to foster high academic outcomes. There is evidence that even students with poor prior knowledge need assignments with some degree of difficulty to promote their achievement (see Zakharov et al., 2014 ). It is important to note, however, the need to support the autonomy of students (e.g., providing different the types of assignments, opportunities for students to express negative feelings toward tasks, answer students’ questions) to minimize the threat that difficult homework exercises may pose to students’ sense of competence; otherwise an excessively high degree of difficulty can lead to students’ disengagement (see Patall et al., 2018 ). Moreover, teachers should consider students’ interests (e.g., which contents and types of homework tasks students like) and discuss homework purposes with their students to foster their understanding of the tasks assigned and, consequently, their engagement in homework ( Xu, 2010 , 2018 ; Epstein and Van Voorhis, 2012 ; Rosário et al., 2018 ).

We also found differences between teachers’ perspectives of quality homework and their reported homework practices concerning the degree of individualization when assigning homework. Contrary to the perspectives that quality homework stresses individual needs, teachers reported to assign homework to the whole class. In spite of the educational costs associated with assigning homework adjusted to specific students or groups of students (mentioned several times by participants), research has reported benefits for students when homework assignments match their educational needs (e.g., Cooper, 2001 ; Trautwein et al., 2006a ; Zakharov et al., 2014 ). The above-mentioned study by Zakharov et al. (2014) also shed light on this topic while supporting our participants’ suggestion to assign homework with increasing level of difficulty aiming to match the variety of students’ levels of knowledge (see also Dettmers et al., 2010 ). However, teachers did not mention this idea when discussing the characteristic of homework typically assigned. Thus, school administrators may wish to consider training teachers (e.g., using mentoring, see Núñez et al., 2013 ) to help them overcome some of the obstacles faced when designing and assigning homework targeting students’ individual characteristics and learning needs.

Another interesting finding is related to the sub-theme of homework adjusted to the availability of students. This was reported while discussing homework quality (elementary school) and characteristics of homework typically assigned (elementary and middle school). Moreover, some elementary and middle school teachers explained by email the reasons why they did not assign homework in some circumstances [e.g., eves of assessment tests of other subjects, extracurricular activities, short time between classes (last class of the day and next class in the following morning)]. These teachers’ behaviors show concern for students’ well-being, which may positively influence the relationship between students and teachers. As some participants mentioned, “students value this attitude” (P1 FG5). Thus, future research may explore how homework adjusted to the availability of students may contribute to encouraging positive behaviors, emotions and outcomes of students toward their homework.

Data gathered from the photos of the assigned homework tasks allowed a detailed analysis of the length and completion deadlines of homework. Long assignments did not match elementary school teachers’ perspectives of quality homework. However, a long homework was assigned once and aimed to help students practice the material covered for the mathematics assessment test. Here, practices diverged. Some teachers assigned this homework some weeks before and others assign it in last class before the test. For this reason, the “long term” completion deadline was not a typical category, hence not reported. Future research could consider studying the impact of this homework characteristic on students’ behaviors and academic performance.

Finally, our findings show that quality homework, according to teachers’ perspectives, requires attention to a combination of several characteristics of homework. Future studies may include measures to assess characteristics of homework other than “challenge” and “selection” already investigated ( Trautwein et al., 2006b ; Dettmers et al., 2010 ; Rosário et al., 2018 ); for example, homework adjusted to the availability of students.

Strengths and Limitations of the Study

The current study analyzed the teachers’ perspectives on the characteristics of quality homework and of the homework they typically assigned. Despite the incapability to generalize data, we believe that these findings provide important insights into the characteristics that may impact a homework assignment’s effectiveness, especially at middle school level. For example, our results showed a disconnect between teachers’ perspectives about the characteristics of quality homework and the characteristics of the homework they assign. This finding is relevant and emphasizes the need to reflect on the consistency between educational discourses and educational practices. Teachers and school administrators could consider finding opportunities to reflect on this disconnect, which may also occur in other educational practices (e.g., teacher feedback, types of questions asked in class). Present data indicate that middle school teachers reported to assign homework with the major purpose of practicing and reviewing the material, but they also aim to develop students’ responsibility and autonomy; still they neglect homework with the purpose of extension which is focused on encouraging students to display an autonomous role, solve problems and transfer the contents learned (see discussion section). Current findings also highlight the challenges and dilemmas teachers face when they assign homework, which is important to address in teachers’ training. In fact, assigning quality homework, that is, homework that works, is not an easy task for teachers and our findings provide empirical data to discuss and reflect upon its implications for research and educational practice. Although our findings cannot be generalized, still they are expected to provide important clues to enhance teachers’ homework practices in different contexts and educational settings, given that homework is among the most universal educational practices in the classroom, is a topic of public debate (e.g., some arguments against homework are related to the characteristics of the assignments, and to the malpractices in using this educational tool) and an active area of research in many countries ( Fan et al., 2017 ).

Moreover, these findings have identified some of the most common obstacles teachers struggle with; such data may be useful to school administrators when designing policies and to teacher training. The administrative obstacles (e.g., large number of students per class) reported by teachers may help understand some of the discrepancies found between teachers’ definition of quality homework and their actual homework practices (e.g., degree of individualization), and also identify which problems related to homework may require intervention. Furthermore, future research could further investigate this topic by interviewing teachers, videotaping classroom activities and discussing data in order to design new avenues of homework practices.

We share the perspective of Trautwein et al. (2006b) on the importance of mapping the characteristics of homework positively associated with students’ homework behaviors. Data from this study may inform future studies analyzing these relationships, promote adaptive homework behaviors and enhance learning.

Methodologically, this research followed rigorous procedures to increase the trustworthiness of findings, improving the validity of the study (e.g., Lincoln and Guba, 1985 ) that should be accounted for. Data from two data sources (i.e., focus groups and the homework assignments photographed) were consistent, and the member checking conducted in both phases allowed the opportunity to learn that the findings of the focus group seem to accurately reflect the overall teachers’ perspectives regarding quality homework and their homework practices.

Despite the promising contributions of this study to the body of research regarding homework practices, this specific research provides an incomplete perspective of the homework process as it has only addressed the perspectives of one of the agents involved. Future research may consider analyzing students’ perspectives about the same topic and contrast data with those of teachers. Findings are expected to help us identify the homework characteristics most highly valued by students and learn about whether they match those of teachers.

Furthermore, data from homework assignments (photos) were provided by 25% of the participating teachers and for a short period of time (i.e., three weeks in one school term). Future research may consider conducting small-scale studies by collecting data from various sources of information aiming at triangulating data (e.g., analyzing homework assignments given in class, interviewing students, conducting in-class observations) at different times of the school year. Researchers should also consider conducting similar studies in different subjects to compare data and inform teachers’ training.

Finally, our participants’ description does not include data regarding the teaching methodology followed by teachers in class. However, due to the potential interference of this variable in results, future research may consider collect and report data regarding school modality and the teaching methodology followed in class.

Homework is an instructional tool that has proved to enhance students’ learning ( Cooper et al., 2006 ; Fernández-Alonso et al., 2015 ; Valle et al., 2016 ; Fan et al., 2017 ; Rosário et al., 2018 ). Still, homework is a complex process and needs to be analyzed thoroughly. For instance, when planning and designing homework, teachers need to choose a set of homework characteristics (e.g., frequency, purposes, degree of individualization, see Cooper, 2001 ; Trautwein et al., 2006b ) considering students’ attributes (e.g., Cooper, 2001 ), which may pose a daily challenge even for experienced teachers as those of the current study. Regardless of grade level, quality homework results from the balance of a set of homework characteristics, several of which were addressed by our participants. As our data suggest, teachers need time and space to reflect on their practices and design homework tasks suited for their students. To improve the quality of homework design, school administrators may consider organizing teacher training addressing theoretical models of homework assignment and related research, discussing homework characteristics and their influence on students’ homework behaviors (e.g., amount of homework completed, homework effort), and academic achievement. We believe that this training would increase teachers’ knowledge and self-efficacy beliefs to develop homework practices best suited to their students’ needs, manage work obstacles and, hopefully, assign quality homework.

Ethics Statement

This study was reviewed and approved by the ethics committee of the University of Minho. All research participants provided written informed consent in accordance with the Declaration of Helsinki.

Author Contributions

PR and TN substantially contributed to the conception and the design of the work. TN and JC were responsible for the literature search. JC, TN, AN, and TM were responsible for the acquisition, analysis, and interpretation of data for the work. PR was also in charge of technical guidance. JN made important intellectual contribution in manuscript revision. PR, JC, and TN wrote the manuscript with valuable inputs from the remaining authors. All authors agreed for all aspects of the work and approved the version to be published.

Conflict of Interest Statement

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

Acknowledgments

The authors would like to thank Fuensanta Monroy and Connor Holmes for the English editing of the manuscript.

Funding. This study was conducted at Psychology Research Centre, University of Minho, and supported by the Portuguese Foundation for Science and Technology and the Portuguese Ministry of Education and Science through national funds and when applicable co-financed by FEDER under the PT2020 Partnership Agreement (UID/PSI/01662/2013). PR was supported by the research projects EDU2013-44062-P (MINECO) and EDU2017-82984-P (MEIC). TN was supported by a Ph.D. fellowship (SFRH/BD/80405/2011) from the Portuguese Foundation for Science and Technology (FCT).

Supplementary Material

The Supplementary Material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/fpsyg.2019.00224/full#supplementary-material

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How important is homework, and how much should parents help?

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importance of math homework

A version of this post was  originally published  by Parenting Translator. Sign up for  the newsletter  and follow Parenting Translator  on Instagram .

In recent years, homework has become a very hot topic . Many parents and educators have raised concerns about homework and questioned how effective it is in enhancing students’ learning. There are also concerns that students may be getting too much homework, which ultimately interferes with quality family time and opportunities for physical activity and play . Research suggests that these concerns may be valid. For example, one study reported that elementary school students, on average, are assigned three times  the recommended amount of homework.

So what does the research say? What are the potential risks and benefits of homework, and how much is too much?

Academic benefits

First, research finds that homework is associated with higher scores on academic standardized tests for middle and high school students, but not elementary school students . A recent experimental study in Romania found some benefit for a small amount of writing homework in elementary students but not math homework. Yet, interestingly, this positive impact only occurred when students were given a moderate amount of homework (about 20 minutes on average).

Non-academic benefits

The goal of homework is not simply to improve academic skills. Research finds that homework may have some non-academic benefits, such as building responsibility , time management skills, and task persistence . Homework may also increase parents’ involvement in their children’s schooling. Yet, too much homework may also have some negative impacts on non-academic skills by reducing opportunities for free play , which is essential for the development of language, cognitive, self-regulation and social-emotional skills. Homework may also interfere with physical activity and too much homework is associated with an increased risk for being overweight . As with the research on academic benefits, this research also suggests that homework may be beneficial when it is minimal.

What is the “right” amount of homework?

Research suggests that homework should not exceed 1.5 to 2.5 hours per night for high school students and no more than one hour per night for middle school students. Homework for elementary school students should be minimal and assigned with the aim of building self-regulation and independent work skills. Any more than this and homework may no longer have a positive impact. 

The National Education Association recommends 10 minutes of homework per grade and there is also some experimental evidence that backs this up.

Overall translation

Research finds that homework provides some academic benefit for middle and high school students but is less beneficial for elementary school students. Research suggests that homework should be none or minimal for elementary students, less than one hour per night for middle school students, and less than 1.5 to 2.5 hours for high school students. 

What can parents do?

Research finds that parental help with homework is beneficial but that it matters more how the parent is helping rather than  how often  the parent is helping.

So how should parents help with homework, according to the research? 

  • Focus on providing general monitoring, guidance and encouragement, but allow children to generate answers on their own and complete their homework as independently as possible . Specifically, be present while they are completing homework to help them to understand the directions, be available to answer simple questions, or praise and acknowledge their effort and hard work. Research shows that allowing children more autonomy in completing homework may benefit their academic skills.
  • Only provide help when your child asks for it and step away whenever possible. Research finds that too much parental involvement or intrusive and controlling involvement with homework is associated with worse academic performance . 
  • Help your children to create structure and develop some routines that help your child to independently complete their homework . Have a regular time and place for homework that is free from distractions and has all of the materials they need within arm’s reach. Help your child to create a checklist for homework tasks. Create rules for homework with your child. Help children to develop strategies for increasing their own self-motivation. For example, developing their own reward system or creating a homework schedule with breaks for fun activities. Research finds that providing this type of structure and responsiveness is related to improved academic skills.
  • Set specific rules around homework. Research finds an association between parents setting rules around homework and academic performance. 
  • Help your child to view homework as an opportunity to learn and improve skills. Parents who view homework as a learning opportunity (that is, a “mastery orientation”) rather than something that they must get “right” or complete successfully to obtain a higher grade (that is, a “performance orientation”) are more likely to have children with the same attitudes. 
  • Encourage your child to persist in challenging assignments and emphasize difficult assignments as opportunities to grow . Research finds that this attitude is associated with student success. Research also indicates that more challenging homework is associated with enhanced academic performance.
  • Stay calm and positive during homework. Research shows that mothers showing positive emotions while helping with homework may improve children’s motivation in homework.
  • Praise your child’s hard work and effort during homework.   This type of praise is likely to increase motivation. In addition, research finds that putting more effort into homework may be associated with enhanced development of conscientiousness in children.
  • Communicate with your child and the teacher about any problems your child has with homework and the teacher’s learning goals. Research finds that open communication about homework is associated with increased academic performance.

Cara Goodwin, PhD, is a licensed psychologist, a mother of three and the founder of  Parenting Translator , a nonprofit newsletter that turns scientific research into information that is accurate, relevant and useful for parents.

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Math homework: why is it so important.

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Math plays an essential role in life, whether we know it or not. From engineering and architecture to shopping and cooking, math is used every single day. 

Yet children and teenagers, when faced with the option to either do their math homework or watch TV, will most likely choose the latter. That’s quite understandable at their age! Yet they may not realize the benefits math homework provides – not only for their education but also for success in future endeavors. In fact, ninety-four percent of jobs use math in some way, shape or form. Here are five reasons why math homework is beneficial to all students.

1.Cultivates critical thinking skills

Down to its basics, math presents problems that engage our critical thinking skills. Math motivates students to make sense of problems using context and reasoning, creating a purposeful and fulfilling learning experience. In one particular study, researchers found that high school students, who focused more on memory and critical thinking, received higher PSAT scores than those who relied on their calculators more.

In applying their minds more than physical resources, students grow invaluable critical thinking skills and, consequently, achieve optimal results. Math homework trains students to do so, enriching their learning experience in discovering meaningful solutions through creative exploration.

2. Improves problem-solving skills

Math homework develops mental agility, combining both memory and logic towards solving problems. In regularly completing math homework, students strengthen their ability to retain large amounts of information to solve math problems. When they acquire and hone in on that ability, such can branch into other decisions in life! International foundation for education, UNESCO, stated that powerful mathematical skills are best established when applying problem-solving skills, becoming one of the most efficient methods to solve challenges outside of mathematics.

With this in mind, practicing problem-solving through math homework will become second nature for students to pinpoint criteria into making a thoughtful judgment. Their problem-solving ability, stemming from doing homework, will better prepare them in fulfilling the expectations of the workforce and a constantly evolving world.

3. Prepares you for exams

Successfully completing math homework on a regular basis indicates that students understand the materials covered in class. It’s reflected in their exams, as homework provides ease into solving the math presented. In fact, a study had shown that students, who completed their homework, displayed higher results on tests and grades than sixty-nine percent who didn’t. 

In becoming efficient at completing math homework, students gain more confidence in studying and passing their exams with flying colours. With that gained confidence, they become more knowledgeable and capable of the subject at hand. 

Think of it this way: math homework helps to strengthen knowledge in skills and study for careers a student might be interested in. Medical scientists, for example, utilize data calculations in testing out hypotheses to ensure safe doses of medicine. If they didn’t study well in school, would you trust the medicine they prescribe?

4. Promotes individual learning and self-discipline

Math homework encourages a motivated approach in independently solving problems, as only a fraction of the information taught in class is absorbed by students. Typically only fifty percent is retained, indicating that students must apply that information to cement their understanding. Through this process, students develop research skills, time management, and self-discipline in order to successfully complete their homework. 

In cementing an understanding through research avenues like afterschool programs and online help, students are able to collect and analyze data from reliable sources. They then use these sources to tailor their own path in solving math. Homework deadlines also motivate students to achieve optimal results within a reasonable time frame, learning to prioritize tasks and eliminating procrastination. Research from The High School Journal discovered that, in the study, students who spent at least 31 minutes reviewing their homework scored considerably higher on SAT-Mathematics than those who paid assignments no mind. 

Diligence in completing math homework reinforces initiative and time management – two characteristics many employers look for. With such skills, students are given leverage not only in the short term of school but in the long term of securing their ideal career.

5. Fosters pride in achievement

Despite the complexities students may face in math concepts, math itself is a universal language that typically has the right answer. When students use their memory, critical thinking, and research skills to solve a hard math problem, finding its answer instills pride and confidence within them. Then their personal responsibility in finding all the answers in their math homework is fulfilled, giving them a sense of accomplishment, a deeper understanding and a well-deserved pat on the back.

It’s like completing a puzzle with thousands of pieces. Once you put them all together, you can see the full picture, marveling at what your hard work has created.

Math homework is not only vital in excelling in education but in developing essential life skills like critical thinking, initiative, and responsibility. At MathProject , we motivate students to achieve those skills, instilling confidence in math with our uniquely designed curriculum . Empower your children with mathematical knowledge and excellence by contacting us today at 1-844-628-424, and book a free assessment ! For more information on MathProject’s math tutoring programs in Mississauga, Brampton and Oakville, visit ‘Our Programs’ page.

Check out what other parents have to say about us, here !

Citations: Why Math Homework is Important – homeworkdoer.org Some Interesting Reasons Why You Should Like Math Homework – starttws.com If There Was No Homework: An Interesting Viewpoint – transatlanticstudies.org Why Is Homework Important – college-homework-help.org Is Homework Beneficial? – procon.org Math and Memory – psychologytoday.com 28 Jobs for Math Majors That Offer Awesome Opportunities – trade-schools.net Mathematica – mathematica.ca

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What’s the Right Amount of Homework?

Decades of research show that homework has some benefits, especially for students in middle and high school—but there are risks to assigning too much.

Many teachers and parents believe that homework helps students build study skills and review concepts learned in class. Others see homework as disruptive and unnecessary, leading to burnout and turning kids off to school. Decades of research show that the issue is more nuanced and complex than most people think: Homework is beneficial, but only to a degree. Students in high school gain the most, while younger kids benefit much less.

The National PTA and the National Education Association support the “ 10-minute homework guideline ”—a nightly 10 minutes of homework per grade level. But many teachers and parents are quick to point out that what matters is the quality of the homework assigned and how well it meets students’ needs, not the amount of time spent on it.

The guideline doesn’t account for students who may need to spend more—or less—time on assignments. In class, teachers can make adjustments to support struggling students, but at home, an assignment that takes one student 30 minutes to complete may take another twice as much time—often for reasons beyond their control. And homework can widen the achievement gap, putting students from low-income households and students with learning disabilities at a disadvantage.

However, the 10-minute guideline is useful in setting a limit: When kids spend too much time on homework, there are real consequences to consider.

Small Benefits for Elementary Students

As young children begin school, the focus should be on cultivating a love of learning, and assigning too much homework can undermine that goal. And young students often don’t have the study skills to benefit fully from homework, so it may be a poor use of time (Cooper, 1989 ; Cooper et al., 2006 ; Marzano & Pickering, 2007 ). A more effective activity may be nightly reading, especially if parents are involved. The benefits of reading are clear: If students aren’t proficient readers by the end of third grade, they’re less likely to succeed academically and graduate from high school (Fiester, 2013 ).

For second-grade teacher Jacqueline Fiorentino, the minor benefits of homework did not outweigh the potential drawback of turning young children against school at an early age, so she experimented with dropping mandatory homework. “Something surprising happened: They started doing more work at home,” Fiorentino writes . “This inspiring group of 8-year-olds used their newfound free time to explore subjects and topics of interest to them.” She encouraged her students to read at home and offered optional homework to extend classroom lessons and help them review material.

Moderate Benefits for Middle School Students

As students mature and develop the study skills necessary to delve deeply into a topic—and to retain what they learn—they also benefit more from homework. Nightly assignments can help prepare them for scholarly work, and research shows that homework can have moderate benefits for middle school students (Cooper et al., 2006 ). Recent research also shows that online math homework, which can be designed to adapt to students’ levels of understanding, can significantly boost test scores (Roschelle et al., 2016 ).

There are risks to assigning too much, however: A 2015 study found that when middle school students were assigned more than 90 to 100 minutes of daily homework, their math and science test scores began to decline (Fernández-Alonso, Suárez-Álvarez, & Muñiz, 2015 ). Crossing that upper limit can drain student motivation and focus. The researchers recommend that “homework should present a certain level of challenge or difficulty, without being so challenging that it discourages effort.” Teachers should avoid low-effort, repetitive assignments, and assign homework “with the aim of instilling work habits and promoting autonomous, self-directed learning.”

In other words, it’s the quality of homework that matters, not the quantity. Brian Sztabnik, a veteran middle and high school English teacher, suggests that teachers take a step back and ask themselves these five questions :

  • How long will it take to complete?
  • Have all learners been considered?
  • Will an assignment encourage future success?
  • Will an assignment place material in a context the classroom cannot?
  • Does an assignment offer support when a teacher is not there?

More Benefits for High School Students, but Risks as Well

By the time they reach high school, students should be well on their way to becoming independent learners, so homework does provide a boost to learning at this age, as long as it isn’t overwhelming (Cooper et al., 2006 ; Marzano & Pickering, 2007 ). When students spend too much time on homework—more than two hours each night—it takes up valuable time to rest and spend time with family and friends. A 2013 study found that high school students can experience serious mental and physical health problems, from higher stress levels to sleep deprivation, when assigned too much homework (Galloway, Conner, & Pope, 2013 ).

Homework in high school should always relate to the lesson and be doable without any assistance, and feedback should be clear and explicit.

Teachers should also keep in mind that not all students have equal opportunities to finish their homework at home, so incomplete homework may not be a true reflection of their learning—it may be more a result of issues they face outside of school. They may be hindered by issues such as lack of a quiet space at home, resources such as a computer or broadband connectivity, or parental support (OECD, 2014 ). In such cases, giving low homework scores may be unfair.

Since the quantities of time discussed here are totals, teachers in middle and high school should be aware of how much homework other teachers are assigning. It may seem reasonable to assign 30 minutes of daily homework, but across six subjects, that’s three hours—far above a reasonable amount even for a high school senior. Psychologist Maurice Elias sees this as a common mistake: Individual teachers create homework policies that in aggregate can overwhelm students. He suggests that teachers work together to develop a school-wide homework policy and make it a key topic of back-to-school night and the first parent-teacher conferences of the school year.

Parents Play a Key Role

Homework can be a powerful tool to help parents become more involved in their child’s learning (Walker et al., 2004 ). It can provide insights into a child’s strengths and interests, and can also encourage conversations about a child’s life at school. If a parent has positive attitudes toward homework, their children are more likely to share those same values, promoting academic success.

But it’s also possible for parents to be overbearing, putting too much emphasis on test scores or grades, which can be disruptive for children (Madjar, Shklar, & Moshe, 2015 ). Parents should avoid being overly intrusive or controlling—students report feeling less motivated to learn when they don’t have enough space and autonomy to do their homework (Orkin, May, & Wolf, 2017 ; Patall, Cooper, & Robinson, 2008 ; Silinskas & Kikas, 2017 ). So while homework can encourage parents to be more involved with their kids, it’s important to not make it a source of conflict.

Should Kids Get Homework?

Homework gives elementary students a way to practice concepts, but too much can be harmful, experts say.

Mother helping son with homework at home

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Effective homework reinforces math, reading, writing or spelling skills, but in a way that's meaningful.

How much homework students should get has long been a source of debate among parents and educators. In recent years, some districts have even implemented no-homework policies, as students juggle sports, music and other activities after school.

Parents of elementary school students, in particular, have argued that after-school hours should be spent with family or playing outside rather than completing assignments. And there is little research to show that homework improves academic achievement for elementary students.

But some experts say there's value in homework, even for younger students. When done well, it can help students practice core concepts and develop study habits and time management skills. The key to effective homework, they say, is keeping assignments related to classroom learning, and tailoring the amount by age: Many experts suggest no homework for kindergartners, and little to none in first and second grade.

Value of Homework

Homework provides a chance to solidify what is being taught in the classroom that day, week or unit. Practice matters, says Janine Bempechat, clinical professor at Boston University 's Wheelock College of Education & Human Development.

"There really is no other domain of human ability where anybody would say you don't need to practice," she adds. "We have children practicing piano and we have children going to sports practice several days a week after school. You name the domain of ability and practice is in there."

Homework is also the place where schools and families most frequently intersect.

"The children are bringing things from the school into the home," says Paula S. Fass, professor emerita of history at the University of California—Berkeley and the author of "The End of American Childhood." "Before the pandemic, (homework) was the only real sense that parents had to what was going on in schools."

Harris Cooper, professor emeritus of psychology and neuroscience at Duke University and author of "The Battle Over Homework," examined more than 60 research studies on homework between 1987 and 2003 and found that — when designed properly — homework can lead to greater student success. Too much, however, is harmful. And homework has a greater positive effect on students in secondary school (grades 7-12) than those in elementary.

"Every child should be doing homework, but the amount and type that they're doing should be appropriate for their developmental level," he says. "For teachers, it's a balancing act. Doing away with homework completely is not in the best interest of children and families. But overburdening families with homework is also not in the child's or a family's best interest."

Negative Homework Assignments

Not all homework for elementary students involves completing a worksheet. Assignments can be fun, says Cooper, like having students visit educational locations, keep statistics on their favorite sports teams, read for pleasure or even help their parents grocery shop. The point is to show students that activities done outside of school can relate to subjects learned in the classroom.

But assignments that are just busy work, that force students to learn new concepts at home, or that are overly time-consuming can be counterproductive, experts say.

Homework that's just busy work.

Effective homework reinforces math, reading, writing or spelling skills, but in a way that's meaningful, experts say. Assignments that look more like busy work – projects or worksheets that don't require teacher feedback and aren't related to topics learned in the classroom – can be frustrating for students and create burdens for families.

"The mental health piece has definitely played a role here over the last couple of years during the COVID-19 pandemic, and the last thing we want to do is frustrate students with busy work or homework that makes no sense," says Dave Steckler, principal of Red Trail Elementary School in Mandan, North Dakota.

Homework on material that kids haven't learned yet.

With the pressure to cover all topics on standardized tests and limited time during the school day, some teachers assign homework that has not yet been taught in the classroom.

Not only does this create stress, but it also causes equity challenges. Some parents speak languages other than English or work several jobs, and they aren't able to help teach their children new concepts.

" It just becomes agony for both parents and the kids to get through this worksheet, and the goal becomes getting to the bottom of (the) worksheet with answers filled in without any understanding of what any of it matters for," says professor Susan R. Goldman, co-director of the Learning Sciences Research Institute at the University of Illinois—Chicago .

Homework that's overly time-consuming.

The standard homework guideline recommended by the National Parent Teacher Association and the National Education Association is the "10-minute rule" – 10 minutes of nightly homework per grade level. A fourth grader, for instance, would receive a total of 40 minutes of homework per night.

But this does not always happen, especially since not every student learns the same. A 2015 study published in the American Journal of Family Therapy found that primary school children actually received three times the recommended amount of homework — and that family stress increased along with the homework load.

Young children can only remain attentive for short periods, so large amounts of homework, especially lengthy projects, can negatively affect students' views on school. Some individual long-term projects – like having to build a replica city, for example – typically become an assignment for parents rather than students, Fass says.

"It's one thing to assign a project like that in which several kids are working on it together," she adds. "In (that) case, the kids do normally work on it. It's another to send it home to the families, where it becomes a burden and doesn't really accomplish very much."

Private vs. Public Schools

Do private schools assign more homework than public schools? There's little research on the issue, but experts say private school parents may be more accepting of homework, seeing it as a sign of academic rigor.

Of course, not all private schools are the same – some focus on college preparation and traditional academics, while others stress alternative approaches to education.

"I think in the academically oriented private schools, there's more support for homework from parents," says Gerald K. LeTendre, chair of educational administration at Pennsylvania State University—University Park . "I don't know if there's any research to show there's more homework, but it's less of a contentious issue."

How to Address Homework Overload

First, assess if the workload takes as long as it appears. Sometimes children may start working on a homework assignment, wander away and come back later, Cooper says.

"Parents don't see it, but they know that their child has started doing their homework four hours ago and still not done it," he adds. "They don't see that there are those four hours where their child was doing lots of other things. So the homework assignment itself actually is not four hours long. It's the way the child is approaching it."

But if homework is becoming stressful or workload is excessive, experts suggest parents first approach the teacher, followed by a school administrator.

"Many times, we can solve a lot of issues by having conversations," Steckler says, including by "sitting down, talking about the amount of homework, and what's appropriate and not appropriate."

Study Tips for High School Students

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6 Reasons Why Doing Math Homework Is Important

6 Reasons Why Doing Math Homework Is Important

Let’s face it – most college and university undergrads don’t like the idea of doing home assignments. Moreover, if there’s an opportunity to choose between Netflix, hanging out with friends, enjoying your favorite cappuccino at Starbucks, or working on your homework, the majority of young men and women will choose…Well, they will choose anything but home assignments. Many students do not really understand how important it is to get those essays, readings, and math assignments done at home. However, the very moment they have to go out and find their first job, they realize that a good education is precious. Until then, you need to work on your habits to get a sense of discipline and prepare for the real world of your future career. 

In this article, we will cover the main reasons why math homework is an essential part of the academic routine, and why you have to get every other assignment done like a pro.

#1 Boost Your Thinking and Memory

In college, your ability to think logically and critically is a must if you’re going to succeed academically. What is more, it is also important to have good memory since you will have to deal with the huge amounts of information in class. Throughout your academic career, you will have to accomplish both the easiest and the toughest math assignments. Don’t skip them just because you are lazy, have no time, or are just not into math at all. Instead, enhance your thinking skills and focus on each assignment on the list.

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#2 exam preparation.

It’s no doubt, you don’t like exams (who does?). Unfortunately, you just can’t avoid them. That is why it is better to accept them as something that you’re going to face several times during your academic journey. Everything that you are studying during your math homework sessions will get you ready for the exams. The more tasks you deal with the better prepared you will be for your math exam that will come soon.

#3 Important Study Habits

College requires you to learn to study independently. Why? Well, your instructors won’t spend their precious time chasing you for your essays, reports, and presentations. If you get into the habit of doing math homework assignments, you will find it easier to submit all of your college projects on time.

#4 Boost Your Focus

When you’re in the middle of solving math questions, you gain better focus and, as a result, you work better. The focus is a must for all college and university students all over the globe. Math homework sessions will help you enhance the levels of your concentration on work. Undergraduates will learn to be more self-disciplined, self-motivated, and organized with math. What is more, learning math will also provide them with a feeling of helpfulness. 

#5 Boost Enthusiasm

Any assignment done with enthusiasm and passion turns out to be of the best quality. Dealing with complex math questions makes you more enthusiastic than you are with any other discipline. As a result, you will love everything that you do. This, in turn, will reflect in every other assignment that you submit. In other words, math boosts your interest in all potential projects, tasks, and activities.

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#6 learn to use various resources.

On the internet, many resources are available to college undergrads that they can use as a helping hand with their homework. These include economics and math home assignments help online. You can simply approach them with your clear request, “Hey, could you, please, do my math homework ?” Online helpers will be there to assist you around the clock. At the same time, plenty of resources like libraries and online calculators are at your service as well. As you work on your math homework, you learn to use all the resources mentioned above and benefit from each during your time in college.

Math is a discipline that includes hard work and regular practice. If you make sure to solve the issues in geometry and algebra on a regular basis, you will not only excel in the above-mentioned subjects but the rest of your education program. 

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Algebra ii practice workbook the most comprehensive review of algebra 2, high school algebra i a comprehensive review and step-by-step guide to mastering high school algebra 1, algebra ii for beginners the ultimate step by step guide to acing algebra ii, pre-algebra for beginners the ultimate step by step guide to preparing for the pre-algebra test.

by: Effortless Math Team about 3 years ago (category: Blog )

Effortless Math Team

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importance of math homework

Why is homework important?

importance of math homework

Why Is Homework Important: Beyond Class and Embracing Learning

Homework is important for several reasons, as it plays a crucial role in enhancing students' learning and educational experience. Here are some key reasons why homework is valuable:

  • Reinforces Learning : Homework helps reinforce what was taught in class, allowing students to practice and apply knowledge, ensuring a deeper understanding and retention of the material.
  • Promotes Discipline and Time Management : Regular homework assignments teach students to manage their time effectively, develop self-discipline, and prioritize tasks, which are valuable skills beyond the classroom.
  • Encourages Independence and Responsibility : Completing homework independently fosters self-reliance and personal responsibility for one's learning, preparing students for the self-directed learning required in higher education and the workplace.
  • Provides Feedback : Homework offers teachers a way to assess students' understanding and progress, allowing them to identify areas where students may need extra help and adjust their teaching strategies accordingly.
  • Enhances Critical Thinking and Problem Solving : Homework often involves tasks that require critical thinking and problem-solving, skills that are crucial for academic and life success.
  • Engages Parents in Their Child's Education : Homework gives parents insight into what their children are learning in school and the opportunity to engage in their child's education, supporting learning at home.
  • Prepares for Upcoming Classes : Homework can be used to introduce new material, preparing students for future lessons and enabling more effective use of classroom time.

Overall, homework is a critical tool in the educational process, supporting learning and personal development in numerous ways.

Ever wondered why teachers seem to love piling on homework? The real reasons why assignments have such an amazing impact on your future might surprise you.

In this article, we’re discovering how homework isn’t just busywork — it’s an essential player when it comes to skyrocketing your comprehension of class material, refining your ability to tackle problems, and establishing a sturdy foundation for academic success. 

By the time we’re done, you’re going to be seeing homework in a different light. So, let's find out why homework is important.

Benefits of Homework

Homework facilitates problem-solving skills, provides students with an additional chance to revisit classroom content, enables parents to understand school teachings, and instills a sense of responsibility in students regarding their education.

If you're asking yourself, "Why is homework good for me?" There are numerous reasons why it can be very beneficial in the long run. Challenging work allows us to grow, after all. Let's look at all its benefits.

Completing Homework Encourages Students To Keep Learning

For some students, learning is not just an obligation but can be enjoyed as well. The acceptance of life-long learning can be fostered by homework, and if the teacher manages to engage their students, they’ve set the stage for the students. Let’s take a look at why homework is important:  

  • Improves memory and retention: It increases the potential for students to remember class material since they have to revisit it.
  • Increases the potential for practical use of knowledge: By understanding the lesson’s materials in more depth, students might apply what they know with more ease.

Helps Develop Skills and Good Habits

Doing your homework can help you develop the necessary skills and habits needed to do challenging work and to keep progressing and ultimately growing as a person. This is why the importance of homework can't be overlooked. 

  • Helps you learn time management: Since homework is usually done outside of school, students will learn how to manage their time and studying time, which will seep into their ability to manage their time in general.
  • Helps students become more organized: Organizing what you’ve learned to produce well-thought responses that can also be applied practically will become crucial in your day-to-day life.
  • Helps foster discipline and responsibility: If students want to become successful, not just in the eyes of society but for their personal achievements as well, they must be disciplined and have to take on responsibilities.

Connects School and Home

“Why is homework necessary?” you ask. For starters, it bridges school and home life. Parents are the vital link between schools and students becoming college and career-ready. 

And parent engagement is more powerful than any other form of involvement or support at school. It strengthens the vital educational triangle uniting parents, home, and school. 

Prepares High School Students for The Future

You can become more resilient and adaptable to challenges in your life. You’ll most likely feel more prepared when these challenges come. What’s more, you can become a better problem-solver and can improve your analytical and critical thinking skills in the long run. This is why homework is beneficial.

Helps Develop A Growth Mindset and Time Management Skills

If you're still wondering, "Why is homework important?" Then, you should know that it can help you foster a growth mentality. What does this mean? Instead of feeling victimized by challenges, failures, and other difficulties, you'll develop a mindset where you view these things as opportunities to grow. At the end of the day, these difficulties can be your best teachers.

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Homework: Tips and Tricks

Now that we've taken a look at all the reasons why homework is beneficial to your growth and life let's take a look at some tips you can apply to your homework sessions. If you're still having issues, you can always send a " do my homework " request on Studyfy to get expert help. ‍

To effectively tackle homework, consider these strategies: take regular breaks to refresh, collaborate with friends for support, create a conducive homework area, actively engage in homework discussions, minimize distractions, adhere to a homework timetable, form a study group, organize a dedicated study space, prepare all necessary materials in advance, listen to instrumental music to maintain focus, reward yourself for completing tasks, practice efficient time management, and leverage available resources for assistance.

1. Create A Study Space : Moving on from finding out why homework is good, the first tip to make homework sessions easier is to create a dedicated study space. By doing this, you can potentially trick your mind into focusing better in that said space.

2. Establish A Routine : Create a homework schedule and stick to it. By doing this, you're freeing up your time by prioritizing your responsibilities first. It might be hard at first, but it's work sticking by. Moreover, if you're curious, you can take a look at who invented homework and why , and you might get some inspiration from knowing this.

3. Prioritize The Difficult Tasks in Homework Assignments : Continuing why should students have homework and homework tips, another great tip is to tackle difficult homework first. This gives you enough time to complete them, ensuring you meet your deadlines. It also frees up your time and speeds up the process.

4. Make Use of Apps : Apps like Quizlet and Evernote can help streamline your sessions. You can note down reasons on, "How is homework beneficial?" to help you get motivated or simply note down important notes from class and more.

5. Break Tasks Up : For lengthier and more complex tasks, you can simply break them up into smaller and more doable portions. Need more reasons on why is homework good for students so you can learn how to motivate yourself to do homework even more? Keep reading, and you’ll know all there is to know about homework and how to finish it easier.

6. Get Help : How does homework help students when a task is too difficult? Difficulty motivates us to try harder. However, if you feel like you're stuck, don't be afraid to seek out help. You can ask teachers, friends, and your parents for extra guidance.

7. Employ Study Methods : Use study methods like summarizing, memory flashcards, and quizzing yourself. "Why is homework beneficial?" It helps you apply problem-solving skills effectively, just like these 3 methods.

8. Free Yourself From Distractions : One of the reasons why homework is good is it teaches you to focus and to cut off distractions. A habit that applies to anything in life. Free up your study space from all potential distractions, like phones, tablets, and TV.

9. Prioritize Health and Sleep : "Why is homework helpful?" For starters, if you prioritize your work, you are obligated to also take care of your health and get enough sleep. By doing so, you can focus and work better. Good habits produce more good habits.

10. Find Your Purpose : The last tip, but not the least important, is finding out your "Why." Find out why you want to work hard. Instead of summing it up to, "I want to get into a good school" or "I want to make a lot of money as an adult," find a deeper purpose as to why you should be diligent.

Maybe you're doing it for self-improvement, or maybe you want to change the world for the better. You can potentially get to know yourself better, and you realize this is why we should have homework.

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What are the reasons why students should have homework?

As we've already seen, homework helps foster better cognitive abilities, train discipline, and prepare students for what's coming.

If you're still struggling with your homework, you can get physics homework help and help for other subjects, too, on Studyfy. It's alright to have difficulties, if you try to improve, results will surely show up.     

How can parents help with homework?

Homework is important, therefore you should ask your parents for help and further motivation if needed. They can offer help when necessary and let you solve problems on your own to foster independence. They can create a space where learning is easy and there are no disturbances.

Can too much homework be counterproductive?

While the benefits of homework are plenty, too much homework can be counterproductive. If this is the case, you can directly talk to your teachers and negotiate with them. If you have tests you need to study for, it can help to have less homework.

Too much homework creates unnecessary stress, no matter how good your time management skills are. Yes, homework improve academic achievement, but excessive homework, especially for younger students, doesn't reinforce learning.

Do the study tips this article has mentioned help?

Yes, they do. It's become apparent that to memorize large amounts of information, it is better to break them down into parts. As for the rest of the advice, it will improve most students' learning efficiency. You should still try to find out which methods work best for you.                                                                          

If you need more guidance, you can get math homework help and help for other subjects as well on Studyfy. Gain insights and advice from an expert today.

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For everyone whose relationship with mathematics is distant or broken, Jo Boaler , a professor at Stanford Graduate School of Education (GSE), has ideas for repairing it. She particularly wants young people to feel comfortable with numbers from the start – to approach the subject with playfulness and curiosity, not anxiety or dread.

“Most people have only ever experienced what I call narrow mathematics – a set of procedures they need to follow, at speed,” Boaler says. “Mathematics should be flexible, conceptual, a place where we play with ideas and make connections. If we open it up and invite more creativity, more diverse thinking, we can completely transform the experience.”

Boaler, the Nomellini and Olivier Professor of Education at the GSE, is the co-founder and faculty director of Youcubed , a Stanford research center that provides resources for math learning that has reached more than 230 million students in over 140 countries. In 2013 Boaler, a former high school math teacher, produced How to Learn Math , the first massive open online course (MOOC) on mathematics education. She leads workshops and leadership summits for teachers and administrators, and her online courses have been taken by over a million users.

In her new book, Math-ish: Finding Creativity, Diversity, and Meaning in Mathematics , Boaler argues for a broad, inclusive approach to math education, offering strategies and activities for learners at any age. We spoke with her about why creativity is an important part of mathematics, the impact of representing numbers visually and physically, and how what she calls “ishing” a math problem can help students make better sense of the answer.

What do you mean by “math-ish” thinking?

It’s a way of thinking about numbers in the real world, which are usually imprecise estimates. If someone asks how old you are, how warm it is outside, how long it takes to drive to the airport – these are generally answered with what I call “ish” numbers, and that’s very different from the way we use and learn numbers in school.

In the book I share an example of a multiple-choice question from a nationwide exam where students are asked to estimate the sum of two fractions: 12/13 + 7/8. They’re given four choices for the closest answer: 1, 2, 19, or 21. Each of the fractions in the question is very close to 1, so the answer would be 2 – but the most common answer 13-year-olds gave was 19. The second most common was 21.

I’m not surprised, because when students learn fractions, they often don’t learn to think conceptually or to consider the relationship between the numerator or denominator. They learn rules about creating common denominators and adding or subtracting the numerators, without making sense of the fraction as a whole. But stepping back and judging whether a calculation is reasonable might be the most valuable mathematical skill a person can develop.

But don’t you also risk sending the message that mathematical precision isn’t important?

I’m not saying precision isn’t important. What I’m suggesting is that we ask students to estimate before they calculate, so when they come up with a precise answer, they’ll have a real sense for whether it makes sense. This also helps students learn how to move between big-picture and focused thinking, which are two different but equally important modes of reasoning.

Some people ask me, “Isn’t ‘ishing’ just estimating?” It is, but when we ask students to estimate, they often groan, thinking it’s yet another mathematical method. But when we ask them to “ish” a number, they're more willing to offer their thinking.

Ishing helps students develop a sense for numbers and shapes. It can help soften the sharp edges in mathematics, making it easier for kids to jump in and engage. It can buffer students against the dangers of perfectionism, which we know can be a damaging mindset. I think we all need a little more ish in our lives.

You also argue that mathematics should be taught in more visual ways. What do you mean by that?

For most people, mathematics is an almost entirely symbolic, numerical experience. Any visuals are usually sterile images in a textbook, showing bisecting angles, or circles divided into slices. But the way we function in life is by developing models of things in our minds. Take a stapler: Knowing what it looks like, what it feels and sounds like, how to interact with it, how it changes things – all of that contributes to our understanding of how it works.

There’s an activity we do with middle-school students where we show them an image of a 4 x 4 x 4 cm cube made up of smaller 1 cm cubes, like a Rubik’s Cube. The larger cube is dipped into a can of blue paint, and we ask the students, if they could take apart the little cubes, how many sides would be painted blue? Sometimes we give the students sugar cubes and have them physically build a larger 4 x 4 x 4 cube. This is an activity that leads into algebraic thinking.

Some years back we were interviewing students a year after they’d done that activity in our summer camp and asked what had stayed with them. One student said, “I’m in geometry class now, and I still remember that sugar cube, what it looked like and felt like.” His class had been asked to estimate the volume of their shoes, and he said he’d imagined his shoes filled with 1 cm sugar cubes in order to solve that question. He had built a mental model of a cube.

When we learn about cubes, most of us don’t get to see and manipulate them. When we learn about square roots, we don’t take squares and look at their diagonals. We just manipulate numbers.

I wonder if people consider the physical representations more appropriate for younger kids.

That’s the thing – elementary school teachers are amazing at giving kids those experiences, but it dies out in middle school, and by high school it’s all symbolic. There’s a myth that there’s a hierarchy of sophistication where you start out with visual and physical representations and then build up to the symbolic. But so much of high-level mathematical work now is visual. Here in Silicon Valley, if you look at Tesla engineers, they're drawing, they're sketching, they're building models, and nobody says that's elementary mathematics.

There’s an example in the book where you’ve asked students how they would calculate 38 x 5 in their heads, and they come up with several different ways of arriving at the same answer. The creativity is fascinating, but wouldn’t it be easier to teach students one standard method?

A depiction of various ways to calculate 38 x 5, numerically and visually.

A depiction of various ways to calculate 38 x 5, numerically and visually. | Courtesy Jo Boaler

That narrow, rigid version of mathematics where there’s only one right approach is what most students experience, and it’s a big part of why people have such math trauma. It keeps them from realizing the full range and power of mathematics. When you only have students blindly memorizing math facts, they’re not developing number sense. They don’t learn how to use numbers flexibly in different situations. It also makes students who think differently believe there’s something wrong with them.

When we open mathematics to acknowledge the different ways a concept or problem can be viewed, we also open the subject to many more students. Mathematical diversity, to me, is a concept that includes both the value of diversity in people and the diverse ways we can see and learn mathematics. When we bring those forms of diversity together, it’s powerful. If we want to value different ways of thinking and problem-solving in the world, we need to embrace mathematical diversity.

20 Reasons Why Homework is Good: Unlocking the Benefits

20 reasons why homework is good

  • Post author By admin
  • October 26, 2023

Explore the compelling 20 reasons why homework is good, fostering skills and knowledge that extend beyond the classroom

Ah, homework – a topic that has fueled countless debates in the world of education. Is it a valuable learning tool or a relentless academic burden?

In this article, we’re going to shift the spotlight onto the often-overlooked positive side of homework. We’ll unveil not one or two, but a whopping 20 compelling reasons why homework is genuinely good for students.

From solidifying classroom knowledge to honing critical thinking skills, homework is far more than just an academic chore. It’s an essential building block of learning. 

So, whether you’ve questioned the purpose of homework or are simply curious about its merits, join us on this journey as we explore the myriad ways homework benefits students of all ages.

Get ready to discover why homework is a treasure trove of learning opportunities!

Table of Contents

20 Reasons Why Homework is Good

Check out 20 reasons why homework is good:-

1. Reinforcement of Classroom Learning

Homework isn’t just a mundane task; it’s your secret weapon for becoming a true subject matter aficionado. It’s the place where classroom theories transform into real-world skills. 

Homework, in all its wisdom, lets you roll up your sleeves and practice what you’ve learned in class, turning those lightbulb moments into permanent knowledge fixtures.

Just like a musician perfecting a melody or an artist refining their masterpiece, homework is your training ground for excellence. So, embrace it, for every assignment is a stepping stone on your path to mastery.

2. Development of Responsibility 

Homework isn’t just about books and assignments; it’s a grooming ground for something equally important – responsibility.

It’s like a trusty mentor, teaching students to take charge, manage their time, and complete tasks independently.

It’s that early taste of adulthood, where you learn that success often depends on your own commitment and effort.

So, think of homework as your guide on the journey to becoming a responsible, self-reliant individual, armed with skills that will serve you well in all walks of life.

3. Improved Time Management Skills 

Homework is more than just assignments; it’s a boot camp for one of life’s essential skills – time management. Think of it as a mini dress rehearsal for adulthood.

Homework teaches students to allocate their time wisely, ensuring they meet deadlines and complete tasks efficiently. It’s like learning to juggle multiple balls, a skill that will serve them well in their adult lives. So, embrace homework as your friendly time-management coach, preparing you for the real world’s challenges.

4. Enhanced Critical Thinking

Homework is not just about finding answers; it’s your secret laboratory for unleashing the power of critical thinking.

It’s the arena where you get to be the detective, dissect problems, and engineer ingenious solutions. Think of it as mental gymnastics, where your cognitive muscles get a thorough workout.

The more you dive into those homework challenges, the sharper your critical thinking skills become. So, consider homework your daily brain boot camp, molding you into a savvy problem-solver with talents that extend way beyond the classroom.

5. Preparation for the Future

Homework isn’t just about cracking textbooks; it’s your sneak peek into the future. Think of it as your personal time machine, where you’re not just solving equations but honing skills that will propel you to success in higher education and the professional arena.

It’s like laying the stepping stones to your dream career. From mastering time management to sharpening critical thinking, homework is your trusted mentor, preparing you for the exciting journey ahead.

So, when you’re poring over those assignments, remember – you’re not just studying, you’re shaping a future filled with possibilities.

6. Encouragement of Self-Discipline 

Homework isn’t just about filling out worksheets; it’s the canvas on which students paint their self-discipline and self-motivation masterpieces.

It’s like training for life’s grand adventure. With homework, you’re the captain, setting sail on a sea of assignments.

Completing homework isn’t merely about meeting deadlines; it’s about cultivating skills that become your secret weapons in the real world.

So, think of homework as your personal training ground for self-discipline, sculpting you into a resilient and motivated individual who’s ready to conquer life’s challenges.

7. Review of Material

Homework isn’t just an additional task; it’s your golden opportunity to revisit and cement what you’ve learned in class.

Think of it as your personal review session, where you go through the key points and solidify your understanding. Just as an artist refines their masterpiece or a musician practices their chords, homework is your tool for perfection.

The more you review and consolidate, the stronger your grasp on the subject matter becomes. So, embrace homework as your trusted ally in mastering the art of revision, making you a confident and knowledgeable learner.

8. Practice Makes Perfect

Homework isn’t a chore; it’s your backstage pass to perfection. It’s like the endless rehearsals of a musician or the tireless drills of an athlete.

Homework is your playground for practice, where you can fine-tune your skills, ensuring you become a true master in various subjects. Just as a chef perfects a recipe through repetition, your homework is the recipe for excellence.

So, when you’re diving into those assignments, think of them as your chance to practice, practice, and practice some more, turning you into a subject maestro.

9. Teacher-Student Interaction

Homework isn’t just about cracking the books; it’s your backstage pass to building strong connections with your teachers.

It’s like sending an open invitation to ask questions and seek guidance. Homework transforms the student-teacher relationship from a formal handshake into a hearty conversation.

When you embrace homework, you’re not just solving problems; you’re forging connections that can last a lifetime.

So, think of homework as your golden opportunity for dialogue, where you can foster positive relationships with your teachers and make your educational journey all the more engaging and rewarding.

10. Parental Involvement

Homework isn’t just a student’s duty; it’s a chance for families to bond over learning. It’s like the thread that weaves the classroom and home together, allowing parents to actively participate in their child’s education.

Homework transforms the learning experience into a shared adventure where everyone can join in the fun. When parents dive into homework with their kids, it’s not just about helping with math problems.

It’s about creating moments of connection, offering support, and sharing in the educational journey. So, think of homework as the gateway to family engagement in education, making learning a joyful family affair.

11. Real-Life Application

Homework isn’t just about hitting the books; it’s your backstage pass to making knowledge practical. It’s like a secret bridge that connects the world of theory with the realm of real-life application.

Homework transforms you from a passive learner into an active doer. It’s where you take those classroom ideas and put them into action, just like a scientist testing a hypothesis or an engineer building a bridge.

So, consider homework your personal laboratory for bringing theories to life, where you turn bookish knowledge into real-world magic, making your education a thrilling adventure.

12. Different Learning Styles 

Homework isn’t a one-size-fits-all deal; it’s more like a treasure map that caters to diverse learning styles. Imagine it as a chameleon, changing its colors to suit both visual and kinesthetic learners.

Homework knows that we’re all unique, with our own special ways of learning. For those who thrive on visuals, it serves up graphs and illustrations, while the hands-on learners get to dive into practical tasks.

It’s a bit like having a tailor-made suit for education. So, consider homework your personal guide, offering a learning experience that’s as unique as you are, making education a captivating and natural journey.

13. Time for Creativity 

Homework isn’t a creativity crusher; it’s your chance to let your imagination soar. Think of it as a blank canvas waiting for your ideas to paint it with vibrant colors.

Homework isn’t about rules and conformity; it’s about independent thinking and the freedom to express yourself. Whether you’re crafting an essay, brainstorming a unique solution, or designing a project, homework is your invitation to let your creativity shine.

So, consider homework your personal creative playground, where you can set your ideas free, turning learning into an exciting and imaginative adventure.

14. Enhancement of Research Skills

Homework isn’t just about checking off tasks; it’s your secret lair for honing research skills, those superpowers that will supercharge your success in both academics and the real world.

Think of it as your personal training ground where you become a detective of knowledge, learning to explore, dig deep, and unearth answers.

Whether you’re delving into the depths of the library, surfing the web, or conducting surveys, research-based homework transforms you into a skilled investigator.

So, consider homework your gateway to the world of research, where you unlock skills that will not only power your academic journey but also your lifelong adventures.

15. Test Preparation

Homework isn’t just a mundane task; it’s your secret weapon for conquering exams. Think of it as your personal exam prep coach, crafting a roadmap for success.

Homework lets you revisit, revise, and sharpen your skills, so when test day arrives, you’re ready to shine. It’s not just about finishing assignments; it’s about building your confidence for those crucial exams.

So, consider homework your trusty sidekick on the path to acing tests, making your educational journey an exciting adventure.

16. Increased Engagement

Homework isn’t a homework. It’s more like an after-class adventure that keeps the excitement of learning alive. Think of it as your personal quest, where you get to explore the subjects that genuinely pique your interest.

Homework isn’t about killing time; it’s your ticket to stay engaged with your learning journey, even when the school day ends.

So, when you’re tackling your assignments, remember you’re not just checking off tasks; you’re stoking the flames of curiosity, making education an exhilarating and never-ending journey.

17. Achievement of Learning Objectives 

Homework isn’t just a jumble of tasks; it’s your trusted guide leading you to specific educational victories. Picture it as your personal GPS, keeping you on track to reach those learning milestones.

Homework is where you make the connections, reinforce classroom knowledge, and make your education rock-solid. It’s not just about answering questions; it’s about ensuring you hit those educational bullseyes.

So, when you’re diving into your assignments, remember you’re not just ticking off tasks; you’re on a journey to academic success, turning each homework into a stepping stone toward your goals.

18. Inclusivity 

Homework isn’t a one-size-fits-all deal; it’s your versatile tool to celebrate the uniqueness of every student. Imagine it as a buffet, serving up options for both fast learners and those who want some extra practice.

Homework understands that every student is as unique as a fingerprint, each with their own pace and learning style.

For the quick learners, it offers challenges and exciting extensions, while those who prefer more practice can dive into additional exercises.

It’s like a school that dances to your rhythm, ensuring every student has a path to success. So, think of homework as your personal learning adventure, offering choices that fit your taste, making education an exciting and inclusive journey.

19. Fosters Independence

Homework isn’t about spoon-feeding answers; it’s your nurturing ground for independent thinking and decision-making.

Think of it as a playground where you get to flex your decision muscles and spread your intellectual wings. Homework is your training camp for self-reliance, where you take charge of your learning adventure.

20. Overall Academic Improvement

Homework isn’t just a stack of assignments; it’s the secret ingredient for overall academic improvement. Think of it as the magic wand that, when waved effectively, leads to better grades and educational triumphs.

Homework isn’t a mere task list; it’s your strategic ally in the journey of learning. When used wisely, it’s your key to success, a bridge to better understanding and superior educational outcomes.

So, when you’re tackling your homework, remember you’re not just ticking off tasks; you’re paving the way for academic excellence, turning each assignment into a step towards achieving your educational goals.

What are 5 benefits of homework?

Homework is more than just a list of tasks; it’s a powerhouse of benefits that can transform a student’s learning journey. Here are the top five advantages:

1. Supercharging Learning

Homework isn’t about mindless repetition; it’s your secret weapon to reinforce what you’ve learned in class. It’s like a memory boost that makes sure you remember the important stuff for the long haul.

2. Mastering Time and Study Skills

Homework teaches you real-world skills that go way beyond the textbook. It’s your personal coach for time management and setting priorities.

Plus, it’s your go-to guide for developing top-notch study habits like staying organized, taking killer notes, and acing those tests.

3. Fueling Grit and Responsibility

Homework is your training ground for building self-discipline and a sense of responsibility. It’s where you learn to motivate yourself and tackle challenges head-on, no matter how tough they seem.

4. Sparking Creativity and Critical Thinking

Homework isn’t a one-way street. It’s your canvas for thinking outside the box and analyzing what you’re learning from all angles. It’s your chance to bring your unique ideas to the table.

5. Strengthening Home-School Bonds

Homework isn’t just about you; it’s a connection point for your parents and teachers. It’s where they get a front-row seat to your education and can lend a hand when you need it.

But, remember, like any tool, homework works best when used wisely. Too much of a good thing can lead to stress, so strike that balance, and make homework your learning ally.

Who invented homework 😡?

The roots of homework can be traced back to a frustrated Italian educator, Roberto Nevilis, who lived in the 17th century.

He was perplexed by his students’ struggles to retain their classroom lessons, and so, he devised a novel solution – homework.

By assigning tasks that required students to practice and reinforce what they’d learned in class, Nevilis hoped to bridge the knowledge gap. His ingenious idea didn’t stop at the classroom door; it spread like wildfire, first across Europe and eventually finding its way to the United States.

While Nevilis is often credited with inventing homework, history leaves some room for debate. Some scholars argue that homework may have had earlier incarnations in ancient Greece and Rome, although concrete evidence is scarce.

What’s more likely is that Nevilis was among the first to formalize the concept of homework as we understand it today.

No matter its true origin, homework has become an integral part of education worldwide. It spans across the spectrum, from the youngest elementary students to those pursuing higher education.

The purpose of homework has also evolved over time. While Nevilis initially introduced homework to help students retain information, today, its role is multifaceted. It serves as a training ground for critical thinking, problem-solving, and nurturing creativity.

Whether you view homework as a boon or a bane, one thing is certain – it has a rich and varied history, and it’s likely to continue shaping the educational landscape for the foreseeable future.

Why is homework good for your brain?

Homework isn’t just about completing assignments; it’s a brain-boosting wizard. Let’s delve into the captivating reasons why homework is a mind-enhancing elixir:

Fortifying Neural Pathways

Imagine your brain as a labyrinth of pathways. When you learn something new, it’s like carving a fresh trail. Homework? It’s your trusty path-paver, helping you practice and reinforce what you’ve learned. This makes recalling information a breeze down the road.

Mastering Executive Function Skills

Executive function skills are like your brain’s personal assistants. They help you plan, organize, and manage your time effectively.

Homework transforms you into the CEO of your tasks, requiring you to set goals, juggle priorities, and work independently.

Cultivating Cognitive Flexibility

Ever wished you could tackle problems from various angles? That’s cognitive flexibility, a superpower for your brain. Homework serves as the playground where you can flex your mental muscles, applying your knowledge to novel challenges.

Boosting Self-Efficacy

Self-efficacy is your belief in your own success. Homework is your arena for personal victories. Achieving your homework goals and witnessing your growth over time? That’s a confidence booster like no other.

Stress Alleviation

While homework might occasionally seem like a stress-inducing monster, it’s also your coach for the stress-relief Olympics. How?

It equips you with the skills to tackle challenges and manage your time wisely, ultimately reducing stress in the long run.

But, here’s the catch: balance is key. Too much homework can tip the scales. To maximize the magical benefits, you need to find harmony between homework and other essential activities like sleep, exercise, and hanging out with friends.

In a nutshell, homework isn’t just about completing assignments; it’s your secret weapon for unlocking your brain’s potential. It boosts learning and memory, nurtures executive function skills, hones cognitive flexibility, elevates self-efficacy, and even helps you conquer stress.

As we draw the curtain on our exploration of the twenty compelling reasons that make homework a valuable asset, it’s evident that homework is more than just a to-do list. It’s a treasure trove of advantages that students can unearth on their academic journey.

From fortifying those neural pathways to nurturing independence, and from honing research skills to prepping for the challenges that await in the future, homework is a versatile tool. It’s the canvas where creativity flourishes, bridging the gap between theory and practice, and inviting parents into their child’s scholastic odyssey.

Homework doesn’t just aid in academic mastery; it’s a comprehensive roadmap for personal growth and development. It nudges you towards self-discipline, sprinkles in a dash of responsibility, and offers a slice of the sweet taste of accomplishment.

However, as in any art, balance is key. The right amount of homework, harmonized with other life activities, is the secret recipe for success.

So, as you tackle your next homework assignment, remember this: you’re not just completing tasks; you’re shaping a brighter future, one thought at a time.

Frequently Asked Questions

Is homework always beneficial for students.

Homework can be beneficial when thoughtfully assigned, but excessive or irrelevant homework may have negative effects.

How can parents support their child’s homework routine?

Parents can provide a quiet, organized workspace, offer assistance when needed, and encourage good study habits.

How much homework is too much?

The right amount of homework varies by grade level and individual needs. It should challenge without overwhelming students.

What can teachers do to make homework more effective?

Teachers should assign purposeful, relevant homework, provide clear instructions, and offer support when necessary.

How does homework help prepare students for the future?

Homework instills responsibility, time management, and critical thinking skills, all of which are valuable in higher education and the workforce.

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The case for 'math-ish' thinking

by Stanford University

math

For everyone whose relationship with mathematics is distant or broken, Jo Boaler, a professor at Stanford Graduate School of Education (GSE), has ideas for repairing it. She particularly wants young people to feel comfortable with numbers from the start—to approach the subject with playfulness and curiosity, not anxiety or dread.

"Most people have only ever experienced what I call narrow mathematics—a set of procedures they need to follow, at speed," Boaler says. "Mathematics should be flexible, conceptual, a place where we play with ideas and make connections. If we open it up and invite more creativity, more diverse thinking, we can completely transform the experience."

Boaler, the Nomellini and Olivier Professor of Education at the GSE, is the co-founder and faculty director of Youcubed, a Stanford research center that provides resources for math learning that has reached more than 230 million students in over 140 countries. In 2013 Boaler, a former high school math teacher, produced How to Learn Math, the first massive open online course (MOOC) on mathematics education . She leads workshops and leadership summits for teachers and administrators, and her online courses have been taken by over a million users.

In her new book, " Math-ish: Finding Creativity, Diversity, and Meaning in Mathematics ," Boaler argues for a broad, inclusive approach to math education, offering strategies and activities for learners at any age. We spoke with her about why creativity is an important part of mathematics, the impact of representing numbers visually and physically, and how what she calls "ishing" a math problem can help students make better sense of the answer.

What do you mean by 'math-ish' thinking?

It's a way of thinking about numbers in the real world, which are usually imprecise estimates. If someone asks how old you are, how warm it is outside, how long it takes to drive to the airport—these are generally answered with what I call "ish" numbers, and that's very different from the way we use and learn numbers in school.

In the book I share an example of a multiple-choice question from a nationwide exam where students are asked to estimate the sum of two fractions: 12/13 + 7/8. They're given four choices for the closest answer: 1, 2, 19, or 21. Each of the fractions in the question is very close to 1, so the answer would be 2—but the most common answer 13-year-olds gave was 19. The second most common was 21.

I'm not surprised, because when students learn fractions, they often don't learn to think conceptually or to consider the relationship between the numerator or denominator. They learn rules about creating common denominators and adding or subtracting the numerators, without making sense of the fraction as a whole. But stepping back and judging whether a calculation is reasonable might be the most valuable mathematical skill a person can develop.

But don't you also risk sending the message that mathematical precision isn't important?

I'm not saying precision isn't important. What I'm suggesting is that we ask students to estimate before they calculate, so when they come up with a precise answer, they'll have a real sense for whether it makes sense. This also helps students learn how to move between big-picture and focused thinking, which are two different but equally important modes of reasoning.

Some people ask me, "Isn't 'ishing' just estimating?" It is, but when we ask students to estimate, they often groan, thinking it's yet another mathematical method. But when we ask them to "ish" a number, they're more willing to offer their thinking.

Ishing helps students develop a sense for numbers and shapes. It can help soften the sharp edges in mathematics, making it easier for kids to jump in and engage. It can buffer students against the dangers of perfectionism, which we know can be a damaging mindset. I think we all need a little more ish in our lives.

You also argue that mathematics should be taught in more visual ways. What do you mean by that?

For most people, mathematics is an almost entirely symbolic, numerical experience. Any visuals are usually sterile images in a textbook, showing bisecting angles, or circles divided into slices. But the way we function in life is by developing models of things in our minds. Take a stapler: Knowing what it looks like, what it feels and sounds like, how to interact with it, how it changes things—all of that contributes to our understanding of how it works.

There's an activity we do with middle-school students where we show them an image of a 4 x 4 x 4 cm cube made up of smaller 1 cm cubes, like a Rubik's Cube. The larger cube is dipped into a can of blue paint, and we ask the students, if they could take apart the little cubes, how many sides would be painted blue? Sometimes we give the students sugar cubes and have them physically build a larger 4 x 4 x 4 cube. This is an activity that leads into algebraic thinking.

Some years back we were interviewing students a year after they'd done that activity in our summer camp and asked what had stayed with them. One student said, "I'm in geometry class now, and I still remember that sugar cube, what it looked like and felt like." His class had been asked to estimate the volume of their shoes, and he said he'd imagined his shoes filled with 1 cm sugar cubes in order to solve that question. He had built a mental model of a cube.

When we learn about cubes, most of us don't get to see and manipulate them. When we learn about square roots, we don't take squares and look at their diagonals. We just manipulate numbers.

I wonder if people consider the physical representations more appropriate for younger kids.

That's the thing—elementary school teachers are amazing at giving kids those experiences, but it dies out in middle school, and by high school it's all symbolic. There's a myth that there's a hierarchy of sophistication where you start out with visual and physical representations and then build up to the symbolic. But so much of high-level mathematical work now is visual. Here in Silicon Valley, if you look at Tesla engineers, they're drawing, they're sketching, they're building models, and nobody says that's elementary mathematics.

There's an example in the book where you've asked students how they would calculate 38 x 5 in their heads, and they come up with several different ways of arriving at the same answer. The creativity is fascinating, but wouldn't it be easier to teach students one standard method?

That narrow, rigid version of mathematics where there's only one right approach is what most students experience, and it's a big part of why people have such math trauma. It keeps them from realizing the full range and power of mathematics. When you only have students blindly memorizing math facts, they're not developing number sense.

They don't learn how to use numbers flexibly in different situations. It also makes students who think differently believe there's something wrong with them.

When we open mathematics to acknowledge the different ways a concept or problem can be viewed, we also open the subject to many more students. Mathematical diversity, to me, is a concept that includes both the value of diversity in people and the diverse ways we can see and learn mathematics.

When we bring those forms of diversity together, it's powerful. If we want to value different ways of thinking and problem-solving in the world, we need to embrace mathematical diversity.

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IMAGES

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  1. WHY IS HOMEWORK IMPORTANT

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COMMENTS

  1. Math Homework: What to Expect and Why IT Is Important

    Math Homework. Math homework is any task assigned to students to complete outside of their math class, and is created to help students prepare to learn new mathematical concepts, practice ones that have already been introduced, and explore other math skills. These out-of-class assignments are help to reinforce the lessons a child is introduced ...

  2. Does Homework Really Help Students Learn?

    Yes, and the stories we hear of kids being stressed out from too much homework—four or five hours of homework a night—are real. That's problematic for physical and mental health and overall well-being. But the research shows that higher-income students get a lot more homework than lower-income kids.

  3. Why Is Math Important? 9 Reasons Why Math Skills Improve Quality of Life

    The importance of mathematics to your child's success can't be overstated. Basic math is a necessity, but even abstract math can help hone critical thinking skills — even if your child chooses not to pursue a STEM-style career. Math can help them succeed professionally, emotionally and cognitively. Here's why.

  4. Online Mathematics Homework Increases Student Achievement

    The purpose of mathematics homework is typically to provide practice for the student. Literature reviews and meta-analyses show generally positive or neutral effects for homework on learning (Cooper, Robinson, & Patall, 2006; Maltese, Robert, & Fan, 2012).Effects due to homework are more positive in middle and high school than elementary school (reflecting greater student maturity) and ...

  5. Unlocking the Power of Math Learning: Strategies and Tools for Success

    Moreover, the importance of math learning goes beyond solving equations and formulas. Advanced math skills are essential for success in many fields, including science, engineering, finance, health care, and technology. In fact, a report by Burning Glass Technologies found that 71% of high-salary, entry-level positions require advanced math skills.

  6. Why homework matters

    Homework is the perennial bogeyman of K-12 education. In any given year, you'll find people arguing that students, especially in elementary school, should have far less homework—or none at all. Eva Moskowitz, the founder and CEO of Success Academy charter schools, has the opposite opinion. She's been running schools for sixteen years, and she's only become more convinced that ...

  7. Homework: What Research Says

    There is evidence that homework for young children can improve scores on unit tests involving simple mathematics skills (e.g., learning place value). However, correlational studies suggest that the homework-achievement link for young children on broader measures of achievement appears to be weak. This NCTM Research Brief discusses what research ...

  8. Does homework still have value? A Johns Hopkins education expert weighs

    In math, students talked with a parent about something the family liked so much that they could represent it 100 times. Conversations about schoolwork at home was the point. ... to meet specific purposes—including but not limited to interactive activities—more students would benefit from the important experience of doing their homework. And ...

  9. Is It Necessary To Do Math Homework?

    Math homework is necessary for a variety of reasons. These are some of them: Memory and cognitive capacity are improved. It's important to remember that whatever a teacher teaches in class only accounts for a small portion of what a student is required to know. As a result, the student's individual learning efforts contribute a larger amount.

  10. How to Use Homework to Support Student Success

    Use homework as a tool for communication. Use homework as a vehicle to foster family-school communication. Families can use homework as an opportunity to open conversations about specific assignments or classes, peer relationships, or even sleep quality that may be impacting student success. For younger students, using a daily or weekly home ...

  11. "Homework Should Be…but We Do Not Live in an Ideal World": Mathematics

    This study is particularly important in mathematics for the following reasons: mathematics is among the school subjects where teachers assign the largest amount of ... Investigating factors that influence conventional distraction and tech-related distraction in math homework. Comput. Educ. 81 304-314. 10.1016/j.compedu.2014.10.024 ...

  12. Making Homework More Meaningful

    Effective homework supports math-ematical learning by including tasks that require students to think about important mathematics.The idea that students should think about important math while doing homework seems fairly obvious. However, if we stop to ex-amine how our students often experi-ence homework, we might discover

  13. PDF Increasing the Effectiveness of Homework for All Learners in the ...

    One of the most important benefits of homework is the acquisition of self-regulation. Two studies by Xu (2008a, 2008b) linked homework management ... that eighth grade students receiving daily self-regulation support during math homework performed better on post-tests than their peers who did not receive

  14. How important is homework, and how much should parents help?

    The goal of homework is not simply to improve academic skills. Research finds that homework may have some non-academic benefits, such as building responsibility, time management skills, and task persistence. Homework may also increase parents' involvement in their children's schooling. Yet, too much homework may also have some negative ...

  15. The Benefits of Doing Math Homework

    2. Improves problem-solving skills. Math homework develops mental agility, combining both memory and logic towards solving problems. In regularly completing math homework, students strengthen their ability to retain large amounts of information to solve math problems. When they acquire and hone in on that ability, such can branch into other ...

  16. What's the Right Amount of Homework?

    The National PTA and the National Education Association support the " 10-minute homework guideline "—a nightly 10 minutes of homework per grade level. But many teachers and parents are quick to point out that what matters is the quality of the homework assigned and how well it meets students' needs, not the amount of time spent on it.

  17. PDF Maximizing the Benefits of Mathematics Homework: A Professional

    MAXIMIZING THE BENEFITS OF MATHEMATICS HOMEWORK 5 . Chapter 1: Introduction There is currently a debate over the significance of mathematics homework. Parents and teachers seem to disagree as to whether or not mathematics homework plays a significant and positive role in a student's academic success.

  18. Should Kids Get Homework?

    Too much, however, is harmful. And homework has a greater positive effect on students in secondary school (grades 7-12) than those in elementary. "Every child should be doing homework, but the ...

  19. 6 Reasons Why Doing Math Homework Is Important

    At the same time, plenty of resources like libraries and online calculators are at your service as well. As you work on your math homework, you learn to use all the resources mentioned above and benefit from each during your time in college. Math is a discipline that includes hard work and regular practice.

  20. The Value of Homework: Is Homework an Important Tool for Learning in

    The findings revealed relatively low emphasis on homework grades, but also a positive correlation between the importance of homework and increasing grade levels. The authors state that: Given the relatively low emphasis on homework, comparisons with other students, other teachers' grading, and the infrequent occurrence of borderline cases ...

  21. Why Is Homework Important

    Homework is important for several reasons, as it plays a crucial role in enhancing students' learning and educational experience. Here are some key reasons why homework is valuable: Reinforces Learning: Homework helps reinforce what was taught in class, allowing students to practice and apply knowledge, ensuring a deeper understanding and ...

  22. The case for 'math-ish' thinking

    In her new book, Math-ish: Finding Creativity, Diversity, and Meaning in Mathematics, Boaler argues for a broad, inclusive approach to math education, offering strategies and activities for ...

  23. 20 Reasons Why Homework is Good: Unlocking the Benefits

    8. Practice Makes Perfect. Homework isn't a chore; it's your backstage pass to perfection. It's like the endless rehearsals of a musician or the tireless drills of an athlete. Homework is your playground for practice, where you can fine-tune your skills, ensuring you become a true master in various subjects.

  24. Homework

    Homework is a set of tasks assigned to students by their teachers to be completed at home. Common homework assignments may include required reading, a writing or typing project, mathematical exercises to be completed, information to be reviewed before a test, or other skills to be practiced. The benefits of homework are debated.

  25. The case for 'math-ish' thinking

    In the book I share an example of a multiple-choice question from a nationwide exam where students are asked to estimate the sum of two fractions: 12/13 + 7/8. They're given four choices for the ...