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Sat / act prep online guides and tips, the 5 best homework help websites (free and paid).

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Other High School , General Education

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Listen: we know homework isn’t fun, but it is a good way to reinforce the ideas and concepts you’ve learned in class. But what if you’re really struggling with your homework assignments?

If you’ve looked online for a little extra help with your take-home assignments, you’ve probably stumbled across websites claiming to provide the homework help and answers students need to succeed . But can homework help sites really make a difference? And if so, which are the best homework help websites you can use? 

Below, we answer these questions and more about homework help websites–free and paid. We’ll go over: 

  • The basics of homework help websites
  • The cost of homework help websites 
  • The five best homework websites out there 
  • The pros and cons of using these websites for homework help 
  • The line between “learning” and “cheating” when using online homework help 
  • Tips for getting the most out of a homework help website

So let’s get started! 

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The Basics About Homework Help Websites–Free and Paid

Homework help websites are designed to help you complete your homework assignments, plain and simple. 

What Makes a Homework Help Site Worth Using

Most of the best sites allow users to ask questions and then provide an answer (or multiple possible answers) and explanation in seconds. In some instances, you can even send a photo of a particular assignment or problem instead of typing the whole thing out! 

Homework help sites also offer more than just help answering homework questions. Common services provided are Q&A with experts, educational videos, lectures, practice tests and quizzes, learning modules, math solving tools, and proofreading help. Homework help sites can also provide textbook solutions (i.e. answers to problems in tons of different textbooks your school might be using), one-on-one tutoring, and peer-to-peer platforms that allow you to discuss subjects you’re learning about with your fellow students. 

And best of all, nearly all of them offer their services 24/7, including tutoring! 

What You Should Should Look Out For

When it comes to homework help, there are lots–and we mean lots –of scam sites out there willing to prey on desperate students. Before you sign up for any service, make sure you read reviews to ensure you’re working with a legitimate company. 

A word to the wise: the more a company advertises help that veers into the territory of cheating, the more likely it is to be a scam. The best homework help websites are going to help you learn the concepts you’ll need to successfully complete your homework on your own. (We’ll go over the difference between “homework help” and “cheating” a little later!) 

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You don't need a golden piggy bank to use homework help websites. Some provide low or no cost help for students like you!

How Expensive Are the Best Homework Help Websites?

First of all, just because a homework help site costs money doesn’t mean it’s a good service. Likewise, just because a homework help website is free doesn’t mean the help isn’t high quality. To find the best websites, you have to take a close look at the quality and types of information they provide! 

When it comes to paid homework help services, the prices vary pretty widely depending on the amount of services you want to subscribe to. Subscriptions can cost anywhere from $2 to $150 dollars per month, with the most expensive services offering several hours of one-on-one tutoring with a subject expert per month.

The 5 Best Homework Help Websites 

So, what is the best homework help website you can use? The answer is that it depends on what you need help with. 

The best homework help websites are the ones that are reliable and help you learn the material. They don’t just provide answers to homework questions–they actually help you learn the material. 

That’s why we’ve broken down our favorite websites into categories based on who they’re best for . For instance, the best website for people struggling with math might not work for someone who needs a little extra help with science, and vice versa. 

Keep reading to find the best homework help website for you! 

Best Free Homework Help Site: Khan Academy

  • Price: Free!
  • Best for: Practicing tough material 

Not only is Khan Academy free, but it’s full of information and can be personalized to suit your needs. When you set up your account , you choose which courses you need to study, and Khan Academy sets up a personal dashboard of instructional videos, practice exercises, and quizzes –with both correct and incorrect answer explanations–so you can learn at your own pace. 

As an added bonus, it covers more course topics than many other homework help sites, including several AP classes.

Runner Up: Brainly.com offers a free service that allows you to type in questions and get answers and explanations from experts. The downside is that you’re limited to two answers per question and have to watch ads. 

Best Paid Homework Help Site: Chegg

  • Price: $14.95 to $19.95 per month
  • Best for: 24/7 homework assistance  

This service has three main parts . The first is Chegg Study, which includes textbook solutions, Q&A with subject experts, flashcards, video explanations, a math solver, and writing help. The resources are thorough, and reviewers state that Chegg answers homework questions quickly and accurately no matter when you submit them.  

Chegg also offers textbook rentals for students who need access to textbooks outside of their classroom. Finally, Chegg offers Internship and Career Advice for students who are preparing to graduate and may need a little extra help with the transition out of high school. 

Another great feature Chegg provides is a selection of free articles geared towards helping with general life skills, like coping with stress and saving money. Chegg’s learning modules are comprehensive, and they feature solutions to the problems in tons of different textbooks in a wide variety of subjects. 

Runner Up: Bartleby offers basically the same services as Chegg for $14.99 per month. The reason it didn’t rank as the best is based on customer reviews that say user questions aren’t answered quite as quickly on this site as on Chegg. Otherwise, this is also a solid choice!

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Best Site for Math Homework Help: Photomath

  • Price: Free (or $59.99 per year for premium services) 
  • Best for: Explaining solutions to math problems

This site allows you to t ake a picture of a math problem, and instantly pulls up a step-by-step solution, as well as a detailed explanation of the concept. Photomath also includes animated videos that break down mathematical concepts to help you better understand and remember them. 

The basic service is free, but for an additional fee you can get extra study tools and learn additional strategies for solving common math problems.

Runner Up: KhanAcademy offers in-depth tutorials that cover complex math topics for free, but you won’t get the same tailored help (and answers!) that Photomath offers. 

Best Site for English Homework Help: Princeton Review Academic Tutoring

  • Price: $40 to $153 per month, depending on how many hours of tutoring you want 
  • Best for: Comprehensive and personalized reading and writing help 

While sites like Grammarly and Sparknotes help you by either proofreading what you write via an algorithm or providing book summaries, Princeton Review’s tutors provide in-depth help with vocabulary, literature, essay writing and development, proofreading, and reading comprehension. And unlike other services, you’ll have the chance to work with a real person to get help. 

The best part is that you can get on-demand English (and ESL) tutoring from experts 24/7. That means you can get help whenever you need it, even if you’re pulling an all-nighter! 

This is by far the most expensive homework site on this list, so you’ll need to really think about what you need out of a homework help website before you commit. One added benefit is that the subscription covers over 80 other subjects, including AP classes, which can make it a good value if you need lots of help!  

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Best Site for STEM Homework Help: Studypool

  • Best for: Science homework help
  • Price: Varies; you’ll pay for each question you submit

When it comes to science homework help, there aren’t a ton of great resources out there. The best of the bunch is Studypool, and while it has great reviews, there are some downsides as well. 

Let’s start with the good stuff. Studypool offers an interesting twist on the homework help formula. After you create a free account, you can submit your homework help questions, and tutors will submit bids to answer your questions. You’ll be able to select the tutor–and price point–that works for you, then you’ll pay to have your homework question answered. You can also pay a small fee to access notes, lectures, and other documents that top tutors have uploaded. 

The downside to Studypool is that the pricing is not transparent . There’s no way to plan for how much your homework help will cost, especially if you have lots of questions! Additionally, it’s not clear how tutors are selected, so you’ll need to be cautious when you choose who you’d like to answer your homework questions.  

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What Are the Pros and Cons of Using Homework Help Sites?

Homework help websites can be a great resource if you’re struggling in a subject, or even if you just want to make sure that you’re really learning and understanding topics and ideas that you’re interested in. But, there are some possible drawbacks if you don’t use these sites responsibly. 

We’ll go over the good–and the not-so-good–aspects of getting online homework help below. 

3 Pros of Using Homework Help Websites 

First, let’s take a look at the benefits. 

#1: Better Grades Beyond Homework

This is a big one! Getting outside help with your studies can improve your understanding of concepts that you’re learning, which translates into better grades when you take tests or write essays. 

Remember: homework is designed to help reinforce the concepts you learned in class. If you just get easy answers without learning the material behind the problems, you may not have the tools you need to be successful on your class exams…or even standardized tests you’ll need to take for college. 

#2: Convenience

One of the main reasons that online homework help is appealing is because it’s flexible and convenient. You don’t have to go to a specific tutoring center while they’re open or stay after school to speak with your teacher. Instead, you can access helpful resources wherever you can access the internet, whenever you need them.

This is especially true if you tend to study at off hours because of your extracurriculars, work schedule, or family obligations. Sites that offer 24/7 tutoring can give you the extra help you need if you can’t access the free resources that are available at your school. 

#3: Variety

Not everyone learns the same way. Maybe you’re more of a visual learner, but your teacher mostly does lectures. Or maybe you learn best by listening and taking notes, but you’re expected to learn something just from reading the textbook . 

One of the best things about online homework help is that it comes in a variety of forms. The best homework help sites offer resources for all types of learners, including videos, practice activities, and even one-on-one discussions with real-life experts. 

This variety can also be a good thing if you just don’t really resonate with the way a concept is being explained (looking at you, math textbooks!).

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Not so fast. There are cons to homework help websites, too. Get to know them below!

3 Cons of Using Homework Help Websites 

Now, let’s take a look at the drawbacks of online homework help. 

#1: Unreliable Info

This can be a real problem. In addition to all the really good homework help sites, there are a whole lot of disreputable or unreliable sites out there. The fact of the matter is that some homework help sites don’t necessarily hire people who are experts in the subjects they’re talking about. In those cases, you may not be getting the accurate, up-to-date, and thorough information you need.

Additionally, even the great sites may not be able to answer all of your homework questions. This is especially true if the site uses an algorithm or chatbot to help students…or if you’re enrolled in an advanced or college-level course. In these cases, working with your teacher or school-provided tutors are probably your best option. 

#2: No Clarification

This depends on the service you use, of course. But the majority of them provide free or low-cost help through pre-recorded videos. Watching videos or reading info online can definitely help you with your homework… but you can’t ask questions or get immediate feedback if you need it .

#3: Potential For Scamming 

Like we mentioned earlier, there are a lot of homework help websites out there, and lots of them are scams. The review comments we read covered everything from outdated or wrong information, to misleading claims about the help provided, to not allowing people to cancel their service after signing up. 

No matter which site you choose to use, make sure you research and read reviews before you sign up–especially if it’s a paid service! 

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When Does “Help” Become “Cheating”?

Admittedly, whether using homework help websites constitutes cheating is a bit of a grey area. For instance, is it “help” when a friend reads your essay for history class and corrects your grammar, or is it “cheating”? The truth is, not everyone agrees on when “help” crosses the line into “cheating .” When in doubt, it can be a good idea to check with your teacher to see what they think about a particular type of help you want to get. 

That said, a general rule of thumb to keep in mind is to make sure that the assignment you turn in for credit is authentically yours . It needs to demonstrate your own thoughts and your own current abilities. Remember: the point of every homework assignment is to 1) help you learn something, and 2) show what you’ve learned. 

So if a service answers questions or writes essays for you, there’s a good chance using it constitutes cheating. 

Here’s an example that might help clarify the difference for you. Brainstorming essay ideas with others or looking online for inspiration is “help” as long as you write the essay yourself. Having someone read it and give you feedback about what you need to change is also help, provided you’re the one that makes the changes later. 

But copying all or part of an essay you find online or having someone write (or rewrite) the whole thing for you would be “cheating.” The same is true for other subjects. Ultimately, if you’re not generating your own work or your own answers, it’s probably cheating.

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5 Tips for Finding the Best Homework Help Websites for You

Now that you know some of our favorite homework help websites, free and paid, you can start doing some additional research on your own to decide which services might work best for you! Here are some top tips for choosing a homework help website. 

Tip 1: Decide How You Learn Best 

Before you decide which site or sites you’re going to use for homework help, y ou should figure out what kind of learning style works for you the most. Are you a visual learner? Then choose a site that uses lots of videos to help explain concepts. If you know you learn best by actually doing tasks, choose a site that provides lots of practice exercises.

Tip 2: Determine Which Subjects You Need Help With

Just because a homework help site is good overall doesn’t mean that it’s equally good for every subject. If you only need help in math, choose a site that specializes in that area. But if history is where you’re struggling, a site that specializes in math won’t be much help. So make sure to choose a site that you know provides high-quality help in the areas you need it most. 

Tip 3: Decide How Much One-On-One Help You Need 

This is really about cost-effectiveness. If you learn well on your own by reading and watching videos, a free site like Khan Academy is a good choice. But if you need actual tutoring, or to be able to ask questions and get personalized answers from experts, a paid site that provides that kind of service may be a better option.

Tip 4: Set a Budget

If you decide you want to go with a paid homework help website, set a budget first . The prices for sites vary wildly, and the cost to use them can add up quick. 

Tip 5: Read the Reviews

Finally, it’s always a good idea to read actual reviews written by the people using these homework sites. You’ll learn the good, the bad, and the ugly of what the users’ experiences have been. This is especially true if you intend to subscribe to a paid service. You’ll want to make sure that users think it’s worth the price overall!

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What’s Next?

If you want to get good grades on your homework, it’s a good idea to learn how to tackle it strategically. Our expert tips will help you get the most out of each assignment…and boost your grades in the process.

Doing well on homework assignments is just one part of getting good grades. We’ll teach you everything you need to know about getting great grades in high school in this article.

Of course, test grades can make or break your GPA, too. Here are 17 expert tips that’ll help you get the most out of your study prep before you take an exam.

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Ashley Sufflé Robinson has a Ph.D. in 19th Century English Literature. As a content writer for PrepScholar, Ashley is passionate about giving college-bound students the in-depth information they need to get into the school of their dreams.

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How to Improve Problem Solving Skills

Last Updated: January 27, 2024 Fact Checked

This article was co-authored by Erin Conlon, PCC, JD . Erin Conlon is an Executive Life Coach, the Founder of Erin Conlon Coaching, and the host of the podcast "This is Not Advice." She specializes in aiding leaders and executives to thrive in their career and personal lives. In addition to her private coaching practice, she teaches and trains coaches and develops and revises training materials to be more diverse, equitable, and inclusive. She holds a BA in Communications and History and a JD from The University of Michigan. Erin is a Professional Certified Coach with The International Coaching Federation. There are 13 references cited in this article, which can be found at the bottom of the page. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed 236,806 times.

The ability to solve problems applies to more than just mathematics homework. Analytical thinking and problem-solving skills are a part of many jobs, ranging from accounting and computer programming to detective work and even creative occupations like art, acting, and writing. While individual problems vary, there are certain general approaches to problem-solving like the one first proposed by mathematician George Polya in 1945. [1] X Research source By following his principles of understanding the problem, devising a plan, carrying out the plan, and looking back, you can improve your problem-solving and tackle any issue systematically.

Define the problem clearly.

This is an outwardly simple but vital step.

  • Try to formulate questions. Say that as a student you have very little money and want to find an effective solution. What is at issue? Is it one of income – are you not making enough money? Is it one of over-spending? Or perhaps you have run into unexpected expenses or your financial situation has changed?

State your objective.

This is another means to reach the nature of the problem.

  • Say that your problem is still money. What is your goal? Perhaps you never have enough to go out on the weekend and have fun at the movies or a club. You decide that your goal is to have more spending cash. Good! With a clear goal, you have better defined the problem.

Gather information systematically.

Gathering facts helps you get a clear picture of your problem and goal.

  • To solve your money shortage, for example, you would want to get as detailed a picture of your financial situation as possible. Collect data through your latest bank statements and to talk to a bank teller. Track your earnings and spending habits in a notebook, and then create a spreadsheet or chart to show your income alongside your expenditures.

Analyze information.

Looking for links and relationships in your data can help you better understand your situation.

  • Say you have now collected all your bank statements. Look at them. When, how, and from where is your money coming? Where, when, and how are you spending it? What is the overall pattern of your finances? Do you have a net surplus or deficit? Are there any unexplained items?

Generate possible solutions.

This is a great time to consider all of your options.

  • Your problem is a lack of money. Your goal is to have more spending cash. What are your options? Without evaluating them, come up with possible options. Perhaps you can acquire more money by getting a part-time job or by taking out a student loan. On the other hand, you might try to save by cutting your spending or by lowering other costs.
  • Divide and conquer. Break the problem into smaller problems and brainstorm solutions for them separately, one by one.
  • Use analogies and similarities. Try to find a resemblance with a previously solved or common problem. If you can find commonalities between your situation and one you've dealt with before, you may be able to adapt some of the solutions for use now.

Evaluate the solutions and choose.

A thorough analysis helps you make the best possible choice.

  • How can you raise money? Look at expenditures – you aren’t spending much outside of basic needs like tuition, food, and housing. Can you cut costs in other ways like finding a roommate to split rent? Can you afford to take a student loan just to have fun on the weekend? Can you spare time from your studies to work part-time?
  • Each solution will produce its own set of circumstances that need evaluation. Run projections. Your money problem will require you to draw up budgets. But it will also take personal consideration. For example, can you cut back on basic things like food or housing? Are you willing to prioritize money over school or to take on debt?

Implement a solution.

This gives you a chance to see how effective your solution really is.

  • You decide to cut costs, because you were unwilling to take on debt, to divert time away from school, or to live with a roommate. You draw up a detailed budget, cutting a few dollars here and there, and commit to a month-long trial.

Review and evaluate the outcome.

Ask yourself if the solution is working, or if it needs to be adjusted.

  • The results of your trial are mixed. On one hand, you have saved enough during the month for fun weekend activities. But there are new problems. You find that you must choose between spending cash and buying basics like food. You also need a new pair of shoes but can’t afford it, according to your budget. You may need to a different solution.

Adjust if necessary.

It’s okay if your first solution doesn’t work out.

  • After a month, you decide to abandon your first budget and to look for part-time work. You find a work-study job on campus. Making a new budget, you now have extra money without taking too much time away from your studies. You may have an effective solution.

Do regular mental exercises.

Like a muscle in your body, you will need to work on problem solving regularly.

  • Word games work great. In a game like “Split Words,” for example, you have to match word fragments to form words under a given theme like “philosophy.” In the game, “Tower of Babel,” you will need to memorize and then match words in a foreign language to the proper picture.
  • Mathematical games will also put your problem solving to the test. Whether it be number or word problems, you will have to activate the parts of your brain that analyze information. For instance: “James is half as old now as he will be when he is 60 years older than he was six years before he was half as old as he is now. How old will James be when his age is twice what it was 10 years after he was half his current age?”

Play video games.

New research shows that playing video games can improve parts of your thinking.

  • Play something that will force you to think strategically or analytically. Try a puzzle game like Tetris. Or, perhaps you would rather prefer a role-playing or strategy game. In that case, something like “Civilization” or “Sim-City” might suit you better.

Take up a hobby.

A hobby is another way that you can continue to improve your problem solving skills.

  • Web design, software programming, jigsaw puzzles, Sudoku, and chess are also hobbies that will force you to think strategically and systematically. Any of these will help you improve your overall problem solving.

Expert Q&A

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Face Problems in Your Life

  • ↑ https://math.berkeley.edu/~gmelvin/polya.pdf
  • ↑ https://www.healthywa.wa.gov.au/Articles/N_R/Problem-solving
  • ↑ https://asq.org/quality-resources/problem-solving
  • ↑ https://ctb.ku.edu/en/table-of-contents/evaluate/evaluate-community-interventions/collect-analyze-data/main
  • ↑ https://www.mindtools.com/pages/article/newCT_96.htm
  • ↑ https://www.skillsyouneed.com/ips/problem-solving.html
  • ↑ Erin Conlon, PCC, JD. Executive Life Coach. Expert Interview. 31 August 2021.
  • ↑ https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5930973/
  • ↑ https://www.theguardian.com/lifeandstyle/2018/oct/13/mental-exercises-to-keep-your-brain-sharp
  • ↑ https://www.apa.org/monitor/2014/02/video-game
  • ↑ https://www.nature.com/articles/d41586-018-05449-7

About This Article

Erin Conlon, PCC, JD

To improve your problem-solving skills, start by clearly defining the problem and your objective or goal. Next, gather as much information as you can about the problem and organize the data by rewording, condensing, or summarizing it. Then, analyze the information you've gathered, looking for important links, patterns, and relationships in the data. Finally, brainstorm possible solutions, evaluate the solutions, and choose one to implement. For tips on implementing solutions successfully, read on! Did this summary help you? Yes No

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1.3: Problem Solving Strategies

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  • Michelle Manes
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Think back to the first problem in this chapter, the ABC Problem. What did you do to solve it? Even if you did not figure it out completely by yourself, you probably worked towards a solution and figured out some things that did not work.

Unlike exercises, there is never a simple recipe for solving a problem. You can get better and better at solving problems, both by building up your background knowledge and by simply practicing. As you solve more problems (and learn how other people solved them), you learn strategies and techniques that can be useful. But no single strategy works every time.

How to Solve It

George Pólya was a great champion in the field of teaching effective problem solving skills. He was born in Hungary in 1887, received his Ph.D. at the University of Budapest, and was a professor at Stanford University (among other universities). He wrote many mathematical papers along with three books, most famously, “How to Solve it.” Pólya died at the age 98 in 1985. [1]

George_Pólya_ca_1973.jpg

George Pólya, circa 1973

  • Image of Pólya by Thane Plambeck from Palo Alto, California (Flickr) [CC BY 2.0 ( http://creativecommons.org/licenses/by/2.0 )], via Wikimedia Commons ↵

In 1945, Pólya published the short book How to Solve It , which gave a four-step method for solving mathematical problems:

  • First, you have to understand the problem.
  • After understanding, then make a plan.
  • Carry out the plan.
  • Look back on your work. How could it be better?

This is all well and good, but how do you actually do these steps?!?! Steps 1. and 2. are particularly mysterious! How do you “make a plan?” That is where you need some tools in your toolbox, and some experience to draw upon.

Much has been written since 1945 to explain these steps in more detail, but the truth is that they are more art than science. This is where math becomes a creative endeavor (and where it becomes so much fun). We will articulate some useful problem solving strategies, but no such list will ever be complete. This is really just a start to help you on your way. The best way to become a skilled problem solver is to learn the background material well, and then to solve a lot of problems!

We have already seen one problem solving strategy, which we call “Wishful Thinking.” Do not be afraid to change the problem! Ask yourself “what if” questions:

  • What if the picture was different?
  • What if the numbers were simpler?
  • What if I just made up some numbers?

You need to be sure to go back to the original problem at the end, but wishful thinking can be a powerful strategy for getting started.

This brings us to the most important problem solving strategy of all:

Problem Solving Strategy 2 (Try Something!).

If you are really trying to solve a problem, the whole point is that you do not know what to do right out of the starting gate. You need to just try something! Put pencil to paper (or stylus to screen or chalk to board or whatever!) and try something. This is often an important step in understanding the problem; just mess around with it a bit to understand the situation and figure out what is going on.

And equally important: If what you tried first does not work, try something else! Play around with the problem until you have a feel for what is going on.

Last week, Alex borrowed money from several of his friends. He finally got paid at work, so he brought cash to school to pay back his debts. First he saw Brianna, and he gave her 1/4 of the money he had brought to school. Then Alex saw Chris and gave him 1/3 of what he had left after paying Brianna. Finally, Alex saw David and gave him 1/2 of what he had remaining. Who got the most money from Alex?

Think/Pair/Share

After you have worked on the problem on your own for a while, talk through your ideas with a partner (even if you have not solved it). What did you try? What did you figure out about the problem? This problem lends itself to two particular strategies. Did you try either of these as you worked on the problem? If not, read about the strategy and then try it out before watching the solution.

Problem Solving Strategy 3 (Draw a Picture).

Some problems are obviously about a geometric situation, and it is clear you want to draw a picture and mark down all of the given information before you try to solve it. But even for a problem that is not geometric, like this one, thinking visually can help! Can you represent something in the situation by a picture?

Draw a square to represent all of Alex’s money. Then shade 1/4 of the square — that’s what he gave away to Brianna. How can the picture help you finish the problem?

After you have worked on the problem yourself using this strategy (or if you are completely stuck), you can watch someone else’s solution.

Problem Solving Strategy 4 (Make Up Numbers).

Part of what makes this problem difficult is that it is about money, but there are no numbers given. That means the numbers must not be important. So just make them up!

You can work forwards: Assume Alex had some specific amount of money when he showed up at school, say $100. Then figure out how much he gives to each person. Or you can work backwards: suppose he has some specific amount left at the end, like $10. Since he gave Chris half of what he had left, that means he had $20 before running into Chris. Now, work backwards and figure out how much each person got.

Watch the solution only after you tried this strategy for yourself.

If you use the “Make Up Numbers” strategy, it is really important to remember what the original problem was asking! You do not want to answer something like “Everyone got $10.” That is not true in the original problem; that is an artifact of the numbers you made up. So after you work everything out, be sure to re-read the problem and answer what was asked!

(Squares on a Chess Board)

How many squares, of any possible size, are on a 8 × 8 chess board? (The answer is not 64... It’s a lot bigger!)

Remember Pólya’s first step is to understand the problem. If you are not sure what is being asked, or why the answer is not just 64, be sure to ask someone!

Think / Pair / Share

After you have worked on the problem on your own for a while, talk through your ideas with a partner (even if you have not solved it). What did you try? What did you figure out about the problem, even if you have not solved it completely?

It is clear that you want to draw a picture for this problem, but even with the picture it can be hard to know if you have found the correct answer. The numbers get big, and it can be hard to keep track of your work. Your goal at the end is to be absolutely positive that you found the right answer. You should never ask the teacher, “Is this right?” Instead, you should declare, “Here’s my answer, and here is why I know it is correct!”

Problem Solving Strategy 5 (Try a Simpler Problem).

Pólya suggested this strategy: “If you can’t solve a problem, then there is an easier problem you can solve: find it.” He also said: “If you cannot solve the proposed problem, try to solve first some related problem. Could you imagine a more accessible related problem?” In this case, an 8 × 8 chess board is pretty big. Can you solve the problem for smaller boards? Like 1 × 1? 2 × 2? 3 × 3?

Of course the ultimate goal is to solve the original problem. But working with smaller boards might give you some insight and help you devise your plan (that is Pólya’s step (2)).

Problem Solving Strategy 6 (Work Systematically).

If you are working on simpler problems, it is useful to keep track of what you have figured out and what changes as the problem gets more complicated.

For example, in this problem you might keep track of how many 1 × 1 squares are on each board, how many 2 × 2 squares on are each board, how many 3 × 3 squares are on each board, and so on. You could keep track of the information in a table:

Problem Solving Strategy 7 (Use Manipulatives to Help You Investigate).

Sometimes even drawing a picture may not be enough to help you investigate a problem. Having actual materials that you move around can sometimes help a lot!

For example, in this problem it can be difficult to keep track of which squares you have already counted. You might want to cut out 1 × 1 squares, 2 × 2 squares, 3 × 3 squares, and so on. You can actually move the smaller squares across the chess board in a systematic way, making sure that you count everything once and do not count anything twice.

Problem Solving Strategy 8 (Look for and Explain Patterns).

Sometimes the numbers in a problem are so big, there is no way you will actually count everything up by hand. For example, if the problem in this section were about a 100 × 100 chess board, you would not want to go through counting all the squares by hand! It would be much more appealing to find a pattern in the smaller boards and then extend that pattern to solve the problem for a 100 × 100 chess board just with a calculation.

If you have not done so already, extend the table above all the way to an 8 × 8 chess board, filling in all the rows and columns. Use your table to find the total number of squares in an 8 × 8 chess board. Then:

  • Describe all of the patterns you see in the table.
  • Can you explain and justify any of the patterns you see? How can you be sure they will continue?
  • What calculation would you do to find the total number of squares on a 100 × 100 chess board?

(We will come back to this question soon. So if you are not sure right now how to explain and justify the patterns you found, that is OK.)

(Broken Clock)

This clock has been broken into three pieces. If you add the numbers in each piece, the sums are consecutive numbers. ( Consecutive numbers are whole numbers that appear one after the other, such as 1, 2, 3, 4 or 13, 14, 15.)

index-12_1-300x282-1.png

Can you break another clock into a different number of pieces so that the sums are consecutive numbers? Assume that each piece has at least two numbers and that no number is damaged (e.g. 12 isn’t split into two digits 1 and 2.)

Remember that your first step is to understand the problem. Work out what is going on here. What are the sums of the numbers on each piece? Are they consecutive?

After you have worked on the problem on your own for a while, talk through your ideas with a partner (even if you have not solved it). What did you try? What progress have you made?

Problem Solving Strategy 9 (Find the Math, Remove the Context).

Sometimes the problem has a lot of details in it that are unimportant, or at least unimportant for getting started. The goal is to find the underlying math problem, then come back to the original question and see if you can solve it using the math.

In this case, worrying about the clock and exactly how the pieces break is less important than worrying about finding consecutive numbers that sum to the correct total. Ask yourself:

  • What is the sum of all the numbers on the clock’s face?
  • Can I find two consecutive numbers that give the correct sum? Or four consecutive numbers? Or some other amount?
  • How do I know when I am done? When should I stop looking?

Of course, solving the question about consecutive numbers is not the same as solving the original problem. You have to go back and see if the clock can actually break apart so that each piece gives you one of those consecutive numbers. Maybe you can solve the math problem, but it does not translate into solving the clock problem.

Problem Solving Strategy 10 (Check Your Assumptions).

When solving problems, it is easy to limit your thinking by adding extra assumptions that are not in the problem. Be sure you ask yourself: Am I constraining my thinking too much?

In the clock problem, because the first solution has the clock broken radially (all three pieces meet at the center, so it looks like slicing a pie), many people assume that is how the clock must break. But the problem does not require the clock to break radially. It might break into pieces like this:

index-13_1-300x296.png

Were you assuming the clock would break in a specific way? Try to solve the problem now, if you have not already.

Science of mind

Science of mind

why is homework good for your brain

Why is homework good for your brain?

Did you know that homework has a profound impact on brain development? It’s not just about completing assignments; homework can actually improve brain function and enhance cognitive abilities.

Homework is designed to help students prepare for the future and develop skills that are essential for success in life. It offers several cognitive benefits, including the development of memory and critical thinking skills. By practicing and repeating new skills through homework, students can enhance their memory and retain knowledge for exams and future tests.

But that’s not all. Homework also helps students build suitable study habits, learn time management, realize personal responsibility, work independently, and improve their ability to use resources and conduct research.

Key Takeaways:

  • Homework improves brain function and enhances cognitive abilities.
  • By practicing and repeating new skills through homework, students can enhance their memory and retain knowledge.
  • Homework helps students build suitable study habits, learn time management, and realize personal responsibility.
  • Homework fosters independence and the ability to use resources effectively.
  • Research shows that designing and assigning homework correctly can optimize its effectiveness as a learning tool.

The Cognitive Benefits of Homework

Homework is not just a task assigned by teachers to keep students occupied after school; it has far-reaching cognitive benefits and contributes to brain growth and development. Through various homework assignments, students have the opportunity to enhance critical thinking skills, memory retention, and problem-solving abilities.

One essential cognitive benefit of homework is its ability to challenge and develop critical thinking skills. By applying the concepts they’ve learned in class to real-life situations, students can deepen their understanding and improve their analytical thinking abilities. This practice fosters a deeper level of comprehension and encourages students to actively engage with the material.

Another cognitive benefit of homework is its positive impact on memory retention. Through practice and repetition of new skills and knowledge, students reinforce the neural connections in their brains, making the information more accessible and easier to recall. This improved memory retention helps students perform better on exams and enhances their overall academic performance.

Homework also plays a crucial role in developing problem-solving abilities. Assignments that require students to think critically and find innovative solutions to complex problems help cultivate their analytical and logical thinking skills. These problem-solving abilities are essential for success in various aspects of life, from academic pursuits to professional careers.

Overall, homework has a profound impact on cognitive development, providing students with opportunities to enhance critical thinking, memory retention, and problem-solving abilities. By engaging in regular homework assignments, students can nurture these essential cognitive skills and lay a solid foundation for their future academic and professional success.

Building Essential Skills Through Homework

Homework plays a vital role in building essential skills that are crucial for academic success and beyond. It provides students with the opportunity to develop effective study habits, learn time management, cultivate personal responsibility, and engage in independent work.

One of the key benefits of homework is the development of study habits. Through regular homework assignments, students learn how to plan their study sessions, set realistic goals, and effectively organize their time. By following consistent study routines, students can maximize their learning potential and improve their overall academic performance.

Time management is another vital skill that homework helps students develop. By juggling multiple assignments and deadlines, students learn to prioritize tasks, allocate their time effectively, and meet their academic obligations. These skills are essential not only for academic success but also for managing responsibilities in other areas of life.

Homework also fosters a sense of personal responsibility. Being accountable for completing assignments on time and to the best of their ability teaches students the importance of taking ownership of their education. It instills a work ethic that can significantly impact their future success, both inside and outside the classroom.

Furthermore, homework promotes independent work and critical thinking skills. Through assignments that require students to apply concepts learned in class, they develop their problem-solving abilities and deepen their understanding of the subject matter. This type of independent work encourages students to think creatively, analyze information critically, and develop their own perspectives.

By engaging in homework, students are actively building these essential skills that will benefit them throughout their education and beyond. The combination of effective study habits, time management, personal responsibility, and independent work fosters self-discipline, resilience, and a lifelong love of learning.

building essential skills through homework

Testimonial:

“Homework has been instrumental in developing my study habits and time management skills. It has taught me the importance of setting goals and staying organized. Through homework, I’ve become more accountable and independent in my learning.” – Jane Smith, High School Student

Homework and Research Skills

When it comes to homework, research skills are essential for academic success. Homework assignments often require students to explore various resources, such as research papers, books, websites, and videos. By delving into these resources, students develop the ability to effectively use different information sources and enhance their understanding of the subject matter.

Research skills acquired through homework not only improve students’ academic performance but also prepare them to navigate the vast amount of information available in the digital age. By honing their research skills, students become adept at finding relevant and reliable information, analyzing different sources, and critically evaluating the credibility and validity of the information they come across.

Research skills acquired through homework contribute to academic success and prepare students for future challenges.

Through homework, students develop the persistence and resilience necessary to delve deep into a topic, locate relevant information, and synthesize their findings in a coherent manner. These skills are not only valuable during their academic journey but will also benefit them throughout their lives as they continue to learn and grow.

Moreover, conducting research for homework assignments instills a sense of curiosity and a thirst for knowledge in students. It encourages them to explore beyond the textbook and develop a broader perspective on the topics they are studying. They learn to ask questions, seek answers, and develop a lifelong love for learning.

Overall, homework assignments that require research skills play a vital role in shaping students’ intellectual growth, fostering critical thinking, and preparing them for the challenges they will face in their future academic and professional endeavors.

homework and research skills

The Science of Homework Efficiency

When it comes to homework, there is a science behind ensuring its maximum effectiveness as a learning tool. Research has shown that the way homework is designed and assigned can have a significant impact on student performance. To optimize learning outcomes, homework should provide independent learning opportunities and present challenges that facilitate deliberate practice of essential content and skills.

One factor that can greatly affect the efficiency of homework is task switching. Constantly switching between homework and distractions like social media can significantly prolong the time spent on assignments. To overcome this, it is crucial to encourage students to delay gratification by using social media as a reward after completing their assignments. By eliminating distractions and focusing on the task at hand, students can deepen their learning and complete their homework more efficiently.

Adopting a scientific approach to tackling homework can lead to improved academic performance. By implementing strategies that optimize learning, such as organizing study sessions, setting goals, and utilizing resources effectively, students can enhance their understanding of the subject matter and improve their overall learning outcomes. By prioritizing uninterrupted focus and disciplined work, students can transform homework into a valuable learning experience that prepares them for success in their academic endeavors.

Source Links

  • https://www.crispebooks.org/
  • http://www.math.usf.edu/~mccolm/pedagogy/HWgood.html
  • https://www.edutopia.org/blog/homework-sleep-and-student-brain-glenn-whitman

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Problem Solving Skills: Meaning, Examples & Techniques

Table of Contents

26 January 2021

Reading Time: 2 minutes

Do your children have trouble solving their Maths homework?

Or, do they struggle to maintain friendships at school?

If your answer is ‘Yes,’ the issue might be related to your child’s problem-solving abilities. Whether your child often forgets his/her lunch at school or is lagging in his/her class, good problem-solving skills can be a major tool to help them manage their lives better.

Children need to learn to solve problems on their own. Whether it is about dealing with academic difficulties or peer issues when children are equipped with necessary problem-solving skills they gain confidence and learn to make healthy decisions for themselves. So let us look at what is problem-solving, its benefits, and how to encourage your child to inculcate problem-solving abilities

Problem-solving skills can be defined as the ability to identify a problem, determine its cause, and figure out all possible solutions to solve the problem.

  • Trigonometric Problems

What is problem-solving, then? Problem-solving is the ability to use appropriate methods to tackle unexpected challenges in an organized manner. The ability to solve problems is considered a soft skill, meaning that it’s more of a personality trait than a skill you’ve learned at school, on-the-job, or through technical training. While your natural ability to tackle problems and solve them is something you were born with or began to hone early on, it doesn’t mean that you can’t work on it. This is a skill that can be cultivated and nurtured so you can become better at dealing with problems over time.

Problem Solving Skills: Meaning, Examples & Techniques are mentioned below in the Downloadable PDF. 

Benefits of learning problem-solving skills  

Promotes creative thinking and thinking outside the box.

Improves decision-making abilities.

Builds solid communication skills.

Develop the ability to learn from mistakes and avoid the repetition of mistakes.

Problem Solving as an ability is a life skill desired by everyone, as it is essential to manage our day-to-day lives. Whether you are at home, school, or work, life throws us curve balls at every single step of the way. And how do we resolve those? You guessed it right – Problem Solving.

Strengthening and nurturing problem-solving skills helps children cope with challenges and obstacles as they come. They can face and resolve a wide variety of problems efficiently and effectively without having a breakdown. Nurturing good problem-solving skills develop your child’s independence, allowing them to grow into confident, responsible adults. 

Children enjoy experimenting with a wide variety of situations as they develop their problem-solving skills through trial and error. A child’s action of sprinkling and pouring sand on their hands while playing in the ground, then finally mixing it all to eliminate the stickiness shows how fast their little minds work.

Sometimes children become frustrated when an idea doesn't work according to their expectations, they may even walk away from their project. They often become focused on one particular solution, which may or may not work.

However, they can be encouraged to try other methods of problem-solving when given support by an adult. The adult may give hints or ask questions in ways that help the kids to formulate their solutions. 

Encouraging Problem-Solving Skills in Kids

Practice problem solving through games.

Exposing kids to various riddles, mysteries, and treasure hunts, puzzles, and games not only enhances their critical thinking but is also an excellent bonding experience to create a lifetime of memories.

Create a safe environment for brainstorming

Welcome, all the ideas your child brings up to you. Children learn how to work together to solve a problem collectively when given the freedom and flexibility to come up with their solutions. This bout of encouragement instills in them the confidence to face obstacles bravely.

Invite children to expand their Learning capabilities

 Whenever children experiment with an idea or problem, they test out their solutions in different settings. They apply their teachings to new situations and effectively receive and communicate ideas. They learn the ability to think abstractly and can learn to tackle any obstacle whether it is finding solutions to a math problem or navigating social interactions.

Problem-solving is the act of finding answers and solutions to complicated problems. 

Developing problem-solving skills from an early age helps kids to navigate their life problems, whether academic or social more effectively and avoid mental and emotional turmoil.

Children learn to develop a future-oriented approach and view problems as challenges that can be easily overcome by exploring solutions. 

About Cuemath

Cuemath, a student-friendly mathematics and coding platform, conducts regular  Online Classes  for academics and skill-development, and their Mental Math App, on both  iOS  and  Android , is a one-stop solution for kids to develop multiple skills. Understand the Cuemath Fee structure and sign up for a free trial.

Frequently Asked Questions (FAQs)

How do you teach problem-solving skills.

Model a useful problem-solving method. Problem solving can be difficult and sometimes tedious. ... 1. Teach within a specific context. ... 2. Help students understand the problem. ... 3. Take enough time. ... 4. Ask questions and make suggestions. ... 5. Link errors to misconceptions.

What makes a good problem solver?

Excellent problem solvers build networks and know how to collaborate with other people and teams. They are skilled in bringing people together and sharing knowledge and information. A key skill for great problem solvers is that they are trusted by others.

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homework problem solving

5 Ways How Does Homework Teach Students How To Problem Solve

Homework

Problem solving is an art that can be developed through reading, learning, and with experience. Homework provides a mindset and technic which indirectly trains the student’s mind in problem-solving. Let’s dive deep to understand this better.

Table of Contents

1. Homework helps improve your memory and be creative with ideas.

Homework has been shown to improve memory and be creative with ideas. It helps students learn how to problem solve by providing them with practice in recalling information and applying it to new situations.

Additionally, homework allows students to explore different ways of approaching a problem and to think outside the box. This can lead to more creative solutions when students face real-world problems.

2. Homework helps manage your time and improves time management

Homework helps you manage your time by setting aside a specific time for it and allows you to work on problem-solving skills in a more focused way. By doing homework, you can learn how to use your time outside school better and improve your time management skills.

3. Homework helps analyze a problem and think of possible solutions.

Homework teaches students how to problem solve by helping them analyze a problem and think of possible solutions. It is a valuable tool that can help students learn how to identify and understand a problem and develop and test potential solutions.

By working through issues independently, students can develop critical thinking and problem-solving skills that will be invaluable in their academic and professional lives.

4. Homework helps you stay disciplined and organized.

Homework is often thought of as a necessary evil by students. However, homework can be a valuable tool that helps students learn how to problem-solve.

When students are given assignments to complete at home, they are forced to work independently and figure out solutions on their own. This process can help students develop essential skills such as discipline and organization.

Discipline is essential for success in any area of life, and homework can teach students how to be disciplined. When students have to complete assignments on their own time, they learn how to budget their time and ensure they get the work done.

This skill can be transferred to other areas of life , such as jobs and families. Students who can stay disciplined with their homework are more likely to be successful in other areas of their lives.

Organization is another vital skill that homework can help students develop. To complete assignments, students must be able to keep track of due dates, materials, and instructions.

This process can help them learn how to organize their thoughts and materials in a way that makes sense. As with discipline, this skill can be transferred to other areas of life outside of schoolwork.”

5. Homework allows you to plan and execution any task

Homework allows students to practice and reinforce the skills they are learning in class. It also provides a way for teachers to assess how well students understand the material.

By requiring students to complete assignments outside of class, teachers can better understand which students need more help and which ones are ready to move on to more challenging material.

Homework also allows parents to be involved in their child’s education. By talking with their child about the day’s lessons and helping them with their homework, parents can gain insights into their child is learning and how they are progressing in school.

Homework can teach students how to problem-solve in several ways. For example, it can help them learn how to find information, identify and use relevant resources, and develop and use critical thinking skills.

In addition, homework can provide opportunities for students to practice their problem-solving skills by working on real-world problems. By doing so, students can learn how to apply their knowledge and skills to solve problems effectively.

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10 Best Problem-Solving Therapy Worksheets & Activities

Problem solving therapy

Cognitive science tells us that we regularly face not only well-defined problems but, importantly, many that are ill defined (Eysenck & Keane, 2015).

Sometimes, we find ourselves unable to overcome our daily problems or the inevitable (though hopefully infrequent) life traumas we face.

Problem-Solving Therapy aims to reduce the incidence and impact of mental health disorders and improve wellbeing by helping clients face life’s difficulties (Dobson, 2011).

This article introduces Problem-Solving Therapy and offers techniques, activities, and worksheets that mental health professionals can use with clients.

Before you continue, we thought you might like to download our three Positive Psychology Exercises for free . These science-based exercises explore fundamental aspects of positive psychology, including strengths, values, and self-compassion, and will give you the tools to enhance the wellbeing of your clients, students, or employees.

This Article Contains:

What is problem-solving therapy, 14 steps for problem-solving therapy, 3 best interventions and techniques, 7 activities and worksheets for your session, fascinating books on the topic, resources from positivepsychology.com, a take-home message.

Problem-Solving Therapy assumes that mental disorders arise in response to ineffective or maladaptive coping. By adopting a more realistic and optimistic view of coping, individuals can understand the role of emotions and develop actions to reduce distress and maintain mental wellbeing (Nezu & Nezu, 2009).

“Problem-solving therapy (PST) is a psychosocial intervention, generally considered to be under a cognitive-behavioral umbrella” (Nezu, Nezu, & D’Zurilla, 2013, p. ix). It aims to encourage the client to cope better with day-to-day problems and traumatic events and reduce their impact on mental and physical wellbeing.

Clinical research, counseling, and health psychology have shown PST to be highly effective in clients of all ages, ranging from children to the elderly, across multiple clinical settings, including schizophrenia, stress, and anxiety disorders (Dobson, 2011).

Can it help with depression?

PST appears particularly helpful in treating clients with depression. A recent analysis of 30 studies found that PST was an effective treatment with a similar degree of success as other successful therapies targeting depression (Cuijpers, Wit, Kleiboer, Karyotaki, & Ebert, 2020).

Other studies confirm the value of PST and its effectiveness at treating depression in multiple age groups and its capacity to combine with other therapies, including drug treatments (Dobson, 2011).

The major concepts

Effective coping varies depending on the situation, and treatment typically focuses on improving the environment and reducing emotional distress (Dobson, 2011).

PST is based on two overlapping models:

Social problem-solving model

This model focuses on solving the problem “as it occurs in the natural social environment,” combined with a general coping strategy and a method of self-control (Dobson, 2011, p. 198).

The model includes three central concepts:

  • Social problem-solving
  • The problem
  • The solution

The model is a “self-directed cognitive-behavioral process by which an individual, couple, or group attempts to identify or discover effective solutions for specific problems encountered in everyday living” (Dobson, 2011, p. 199).

Relational problem-solving model

The theory of PST is underpinned by a relational problem-solving model, whereby stress is viewed in terms of the relationships between three factors:

  • Stressful life events
  • Emotional distress and wellbeing
  • Problem-solving coping

Therefore, when a significant adverse life event occurs, it may require “sweeping readjustments in a person’s life” (Dobson, 2011, p. 202).

homework problem solving

  • Enhance positive problem orientation
  • Decrease negative orientation
  • Foster ability to apply rational problem-solving skills
  • Reduce the tendency to avoid problem-solving
  • Minimize the tendency to be careless and impulsive

D’Zurilla’s and Nezu’s model includes (modified from Dobson, 2011):

  • Initial structuring Establish a positive therapeutic relationship that encourages optimism and explains the PST approach.
  • Assessment Formally and informally assess areas of stress in the client’s life and their problem-solving strengths and weaknesses.
  • Obstacles to effective problem-solving Explore typically human challenges to problem-solving, such as multitasking and the negative impact of stress. Introduce tools that can help, such as making lists, visualization, and breaking complex problems down.
  • Problem orientation – fostering self-efficacy Introduce the importance of a positive problem orientation, adopting tools, such as visualization, to promote self-efficacy.
  • Problem orientation – recognizing problems Help clients recognize issues as they occur and use problem checklists to ‘normalize’ the experience.
  • Problem orientation – seeing problems as challenges Encourage clients to break free of harmful and restricted ways of thinking while learning how to argue from another point of view.
  • Problem orientation – use and control emotions Help clients understand the role of emotions in problem-solving, including using feelings to inform the process and managing disruptive emotions (such as cognitive reframing and relaxation exercises).
  • Problem orientation – stop and think Teach clients how to reduce impulsive and avoidance tendencies (visualizing a stop sign or traffic light).
  • Problem definition and formulation Encourage an understanding of the nature of problems and set realistic goals and objectives.
  • Generation of alternatives Work with clients to help them recognize the wide range of potential solutions to each problem (for example, brainstorming).
  • Decision-making Encourage better decision-making through an improved understanding of the consequences of decisions and the value and likelihood of different outcomes.
  • Solution implementation and verification Foster the client’s ability to carry out a solution plan, monitor its outcome, evaluate its effectiveness, and use self-reinforcement to increase the chance of success.
  • Guided practice Encourage the application of problem-solving skills across multiple domains and future stressful problems.
  • Rapid problem-solving Teach clients how to apply problem-solving questions and guidelines quickly in any given situation.

Success in PST depends on the effectiveness of its implementation; using the right approach is crucial (Dobson, 2011).

Problem-solving therapy – Baycrest

The following interventions and techniques are helpful when implementing more effective problem-solving approaches in client’s lives.

First, it is essential to consider if PST is the best approach for the client, based on the problems they present.

Is PPT appropriate?

It is vital to consider whether PST is appropriate for the client’s situation. Therapists new to the approach may require additional guidance (Nezu et al., 2013).

Therapists should consider the following questions before beginning PST with a client (modified from Nezu et al., 2013):

  • Has PST proven effective in the past for the problem? For example, research has shown success with depression, generalized anxiety, back pain, Alzheimer’s disease, cancer, and supporting caregivers (Nezu et al., 2013).
  • Is PST acceptable to the client?
  • Is the individual experiencing a significant mental or physical health problem?

All affirmative answers suggest that PST would be a helpful technique to apply in this instance.

Five problem-solving steps

The following five steps are valuable when working with clients to help them cope with and manage their environment (modified from Dobson, 2011).

Ask the client to consider the following points (forming the acronym ADAPT) when confronted by a problem:

  • Attitude Aim to adopt a positive, optimistic attitude to the problem and problem-solving process.
  • Define Obtain all required facts and details of potential obstacles to define the problem.
  • Alternatives Identify various alternative solutions and actions to overcome the obstacle and achieve the problem-solving goal.
  • Predict Predict each alternative’s positive and negative outcomes and choose the one most likely to achieve the goal and maximize the benefits.
  • Try out Once selected, try out the solution and monitor its effectiveness while engaging in self-reinforcement.

If the client is not satisfied with their solution, they can return to step ‘A’ and find a more appropriate solution.

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Positive self-statements

When dealing with clients facing negative self-beliefs, it can be helpful for them to use positive self-statements.

Use the following (or add new) self-statements to replace harmful, negative thinking (modified from Dobson, 2011):

  • I can solve this problem; I’ve tackled similar ones before.
  • I can cope with this.
  • I just need to take a breath and relax.
  • Once I start, it will be easier.
  • It’s okay to look out for myself.
  • I can get help if needed.
  • Other people feel the same way I do.
  • I’ll take one piece of the problem at a time.
  • I can keep my fears in check.
  • I don’t need to please everyone.

Worksheets for problem solving therapy

5 Worksheets and workbooks

Problem-solving self-monitoring form.

Answering the questions in the Problem-Solving Self-Monitoring Form provides the therapist with necessary information regarding the client’s overall and specific problem-solving approaches and reactions (Dobson, 2011).

Ask the client to complete the following:

  • Describe the problem you are facing.
  • What is your goal?
  • What have you tried so far to solve the problem?
  • What was the outcome?

Reactions to Stress

It can be helpful for the client to recognize their own experiences of stress. Do they react angrily, withdraw, or give up (Dobson, 2011)?

The Reactions to Stress worksheet can be given to the client as homework to capture stressful events and their reactions. By recording how they felt, behaved, and thought, they can recognize repeating patterns.

What Are Your Unique Triggers?

Helping clients capture triggers for their stressful reactions can encourage emotional regulation.

When clients can identify triggers that may lead to a negative response, they can stop the experience or slow down their emotional reaction (Dobson, 2011).

The What Are Your Unique Triggers ? worksheet helps the client identify their triggers (e.g., conflict, relationships, physical environment, etc.).

Problem-Solving worksheet

Imagining an existing or potential problem and working through how to resolve it can be a powerful exercise for the client.

Use the Problem-Solving worksheet to state a problem and goal and consider the obstacles in the way. Then explore options for achieving the goal, along with their pros and cons, to assess the best action plan.

Getting the Facts

Clients can become better equipped to tackle problems and choose the right course of action by recognizing facts versus assumptions and gathering all the necessary information (Dobson, 2011).

Use the Getting the Facts worksheet to answer the following questions clearly and unambiguously:

  • Who is involved?
  • What did or did not happen, and how did it bother you?
  • Where did it happen?
  • When did it happen?
  • Why did it happen?
  • How did you respond?

2 Helpful Group Activities

While therapists can use the worksheets above in group situations, the following two interventions work particularly well with more than one person.

Generating Alternative Solutions and Better Decision-Making

A group setting can provide an ideal opportunity to share a problem and identify potential solutions arising from multiple perspectives.

Use the Generating Alternative Solutions and Better Decision-Making worksheet and ask the client to explain the situation or problem to the group and the obstacles in the way.

Once the approaches are captured and reviewed, the individual can share their decision-making process with the group if they want further feedback.

Visualization

Visualization can be performed with individuals or in a group setting to help clients solve problems in multiple ways, including (Dobson, 2011):

  • Clarifying the problem by looking at it from multiple perspectives
  • Rehearsing a solution in the mind to improve and get more practice
  • Visualizing a ‘safe place’ for relaxation, slowing down, and stress management

Guided imagery is particularly valuable for encouraging the group to take a ‘mental vacation’ and let go of stress.

Ask the group to begin with slow, deep breathing that fills the entire diaphragm. Then ask them to visualize a favorite scene (real or imagined) that makes them feel relaxed, perhaps beside a gently flowing river, a summer meadow, or at the beach.

The more the senses are engaged, the more real the experience. Ask the group to think about what they can hear, see, touch, smell, and even taste.

Encourage them to experience the situation as fully as possible, immersing themselves and enjoying their place of safety.

Such feelings of relaxation may be able to help clients fall asleep, relieve stress, and become more ready to solve problems.

We have included three of our favorite books on the subject of Problem-Solving Therapy below.

1. Problem-Solving Therapy: A Treatment Manual – Arthur Nezu, Christine Maguth Nezu, and Thomas D’Zurilla

Problem-Solving Therapy

This is an incredibly valuable book for anyone wishing to understand the principles and practice behind PST.

Written by the co-developers of PST, the manual provides powerful toolkits to overcome cognitive overload, emotional dysregulation, and the barriers to practical problem-solving.

Find the book on Amazon .

2. Emotion-Centered Problem-Solving Therapy: Treatment Guidelines – Arthur Nezu and Christine Maguth Nezu

Emotion-Centered Problem-Solving Therapy

Another, more recent, book from the creators of PST, this text includes important advances in neuroscience underpinning the role of emotion in behavioral treatment.

Along with clinical examples, the book also includes crucial toolkits that form part of a stepped model for the application of PST.

3. Handbook of Cognitive-Behavioral Therapies – Keith Dobson and David Dozois

Handbook of Cognitive-Behavioral Therapies

This is the fourth edition of a hugely popular guide to Cognitive-Behavioral Therapies and includes a valuable and insightful section on Problem-Solving Therapy.

This is an important book for students and more experienced therapists wishing to form a high-level and in-depth understanding of the tools and techniques available to Cognitive-Behavioral Therapists.

For even more tools to help strengthen your clients’ problem-solving skills, check out the following free worksheets from our blog.

  • Case Formulation Worksheet This worksheet presents a four-step framework to help therapists and their clients come to a shared understanding of the client’s presenting problem.
  • Understanding Your Default Problem-Solving Approach This worksheet poses a series of questions helping clients reflect on their typical cognitive, emotional, and behavioral responses to problems.
  • Social Problem Solving: Step by Step This worksheet presents a streamlined template to help clients define a problem, generate possible courses of action, and evaluate the effectiveness of an implemented solution.

If you’re looking for more science-based ways to help others enhance their wellbeing, check out this signature collection of 17 validated positive psychology tools for practitioners. Use them to help others flourish and thrive.

homework problem solving

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While we are born problem-solvers, facing an incredibly diverse set of challenges daily, we sometimes need support.

Problem-Solving Therapy aims to reduce stress and associated mental health disorders and improve wellbeing by improving our ability to cope. PST is valuable in diverse clinical settings, ranging from depression to schizophrenia, with research suggesting it as a highly effective treatment for teaching coping strategies and reducing emotional distress.

Many PST techniques are available to help improve clients’ positive outlook on obstacles while reducing avoidance of problem situations and the tendency to be careless and impulsive.

The PST model typically assesses the client’s strengths, weaknesses, and coping strategies when facing problems before encouraging a healthy experience of and relationship with problem-solving.

Why not use this article to explore the theory behind PST and try out some of our powerful tools and interventions with your clients to help them with their decision-making, coping, and problem-solving?

We hope you enjoyed reading this article. Don’t forget to download our three Positive Psychology Exercises for free .

  • Cuijpers, P., Wit, L., Kleiboer, A., Karyotaki, E., & Ebert, D. (2020). Problem-solving therapy for adult depression: An updated meta-analysis. European P sychiatry ,  48 (1), 27–37.
  • Dobson, K. S. (2011). Handbook of cognitive-behavioral therapies (3rd ed.). Guilford Press.
  • Dobson, K. S., & Dozois, D. J. A. (2021). Handbook of cognitive-behavioral therapies  (4th ed.). Guilford Press.
  • Eysenck, M. W., & Keane, M. T. (2015). Cognitive psychology: A student’s handbook . Psychology Press.
  • Nezu, A. M., & Nezu, C. M. (2009). Problem-solving therapy DVD . Retrieved September 13, 2021, from https://www.apa.org/pubs/videos/4310852
  • Nezu, A. M., & Nezu, C. M. (2018). Emotion-centered problem-solving therapy: Treatment guidelines. Springer.
  • Nezu, A. M., Nezu, C. M., & D’Zurilla, T. J. (2013). Problem-solving therapy: A treatment manual . Springer.

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School Life Balance , Tips for Online Students

The Pros and Cons of Homework

Updated: June 5, 2024

Published: January 23, 2020

The-Pros-and-Cons-Should-Students-Have-Homework

Homework is a word that most students dread hearing. After hours upon hours of sitting in class , the last thing we want is more schoolwork over our precious weekends. While it’s known to be a staple of traditional schooling, homework has also become a rather divise topic. Some feel as though homework is a necessary part of school, while others believe that the time could be better invested. Should students have homework? Have a closer look into the arguments on both sides to decide for yourself.

A college student completely swamped with homework.

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Why should students have homework.

Homework has been a long-standing part of the education system. It helps reinforce what students learn in the classroom, encourages good study habits, and promotes a deeper understanding of subjects. Studies have shown that homework can improve students’ grades and skills. Here are some reasons why homework is important:

1. Homework Encourages Practice

Many people believe that one of the positive effects of homework is that it encourages the discipline of practice. While it may be time consuming and boring compared to other activities, repetition is needed to get better at skills. Homework helps make concepts more clear, and gives students more opportunities when starting their career .

2. Homework Gets Parents Involved

Homework can be something that gets parents involved in their children’s lives if the environment is a healthy one. A parent helping their child with homework makes them take part in their academic success, and allows for the parent to keep up with what the child is doing in school. It can also be a chance to connect together.

3. Homework Teaches Time Management

Homework is much more than just completing the assigned tasks. Homework can develop time management skills , forcing students to plan their time and make sure that all of their homework assignments are done on time. By learning to manage their time, students also practice their problem-solving skills and independent thinking. One of the positive effects of homework is that it forces decision making and compromises to be made.

4. Homework Opens A Bridge Of Communication

Homework creates a connection between the student, the teacher, the school, and the parents. It allows everyone to get to know each other better, and parents can see where their children are struggling. In the same sense, parents can also see where their children are excelling. Homework in turn can allow for a better, more targeted educational plan for the student.

5. Homework Allows For More Learning Time

Homework allows for more time to complete the learning process. School hours are not always enough time for students to really understand core concepts, and homework can counter the effects of time shortages, benefiting students in the long run, even if they can’t see it in the moment.

6. Homework Reduces Screen Time

Many students in North America spend far too many hours watching TV. If they weren’t in school, these numbers would likely increase even more. Although homework is usually undesired, it encourages better study habits and discourages spending time in front of the TV. Homework can be seen as another extracurricular activity, and many families already invest a lot of time and money in different clubs and lessons to fill up their children’s extra time. Just like extracurricular activities, homework can be fit into one’s schedule.

A female student who doesn’t want to do homework.

The Other Side: Why Homework Is Bad

While homework has its benefits, there are also many arguments against it. Some believe that homework can cause increased stress, limit time for extracurricular activities, and reduce family time. Studies and expert opinions highlight the drawbacks of too much homework, showing how it can negatively affect students’ well-being and academic experience. Here are some reasons why homework might be bad:

1. Homework Encourages A Sedentary Lifestyle

Should students have homework? Well, that depends on where you stand. There are arguments both for the advantages and the disadvantages of homework.

While classroom time is important, playground time is just as important. If children are given too much homework, they won’t have enough playtime, which can impact their social development and learning. Studies have found that those who get more play get better grades in school , as it can help them pay closer attention in the classroom.

Children are already sitting long hours in the classroom, and homework assignments only add to these hours. Sedentary lifestyles can be dangerous and can cause health problems such as obesity. Homework takes away from time that could be spent investing in physical activity.

2. Homework Isn’t Healthy In Every Home

While many people that think homes are a beneficial environment for children to learn, not all homes provide a healthy environment, and there may be very little investment from parents. Some parents do not provide any kind of support or homework help, and even if they would like to, due to personal barriers, they sometimes cannot. Homework can create friction between children and their parents, which is one of the reasons why homework is bad .

3. Homework Adds To An Already Full-Time Job

School is already a full-time job for students, as they generally spend over 6 hours each day in class. Students also often have extracurricular activities such as sports, music, or art that are just as important as their traditional courses. Adding on extra hours to all of these demands is a lot for children to manage, and prevents students from having extra time to themselves for a variety of creative endeavors. Homework prevents self discovery and having the time to learn new skills outside of the school system. This is one of the main disadvantages of homework.

4. Homework Has Not Been Proven To Provide Results

Endless surveys have found that homework creates a negative attitude towards school, and homework has not been found to be linked to a higher level of academic success.

The positive effects of homework have not been backed up enough. While homework may help some students improve in specific subjects, if they have outside help there is no real proof that homework makes for improvements.

It can be a challenge to really enforce the completion of homework, and students can still get decent grades without doing their homework. Extra school time does not necessarily mean better grades — quality must always come before quantity.

Accurate practice when it comes to homework simply isn’t reliable. Homework could even cause opposite effects if misunderstood, especially since the reliance is placed on the student and their parents — one of the major reasons as to why homework is bad. Many students would rather cheat in class to avoid doing their homework at home, and children often just copy off of each other or from what they read on the internet.

5. Homework Assignments Are Overdone

The general agreement is that students should not be given more than 10 minutes a day per grade level. What this means is that a first grader should be given a maximum of 10 minutes of homework, while a second grader receives 20 minutes, etc. Many students are given a lot more homework than the recommended amount, however.

On average, college students spend as much as 3 hours per night on homework . By giving too much homework, it can increase stress levels and lead to burn out. This in turn provides an opposite effect when it comes to academic success.

The pros and cons of homework are both valid, and it seems as though the question of ‘‘should students have homework?’ is not a simple, straightforward one. Parents and teachers often are found to be clashing heads, while the student is left in the middle without much say.

It’s important to understand all the advantages and disadvantages of homework, taking both perspectives into conversation to find a common ground. At the end of the day, everyone’s goal is the success of the student.

FAQ Section

What are the benefits of assigning homework to students.

Homework reinforces what students learn in the classroom, helps develop good study habits, and promotes a deeper understanding of subjects. It also encourages practice, improves time management skills, and encourages parents to participate in their children’s education.

How much homework is too much for students?

Generally, it is recommended that students receive no more than 10 minutes of homework per grade level per day. For example, a first grader should have no more than 10 minutes of homework, while a fifth grader should have no more than 50 minutes.

What are the potential drawbacks of excessive homework assignments?

Excessive homework can lead to increased stress, a sedentary lifestyle, lack of free time for extracurricular activities, and diminished family time. It can also create a negative attitude towards school and learning.

How does homework impact students’ stress levels and well-being?

Too much homework can significantly increase stress levels and negatively affect students’ well-being. It can lead to anxiety, burnout, and reduced time for physical activity and relaxation.

Does homework promote independent thinking and problem-solving skills?

Yes, homework can promote independent thinking and problem-solving skills by encouraging students to tackle assignments on their own, manage their time effectively, and find solutions to problems without immediate assistance from teachers.

Are there any long-term effects of excessive homework on students?

Excessive homework over long periods can lead to chronic stress, burnout, and a negative attitude towards education. It can also hinder the development of social skills and reduce opportunities for self-discovery and creative pursuits.

How can technology enhance or supplement traditional homework practices?

Technology can provide interactive and engaging ways to complete homework, such as educational apps, online resources, and virtual collaboration tools. It can also offer personalized learning experiences and immediate feedback.

Are there any innovative approaches to homework that schools are adopting?

Some schools are adopting innovative approaches like flipped classrooms, where students watch lectures at home and do hands-on classroom activities. Project-based learning and personalized assignments tailored to individual student needs are also becoming more popular.

How do educators balance the workload with diverse student needs?

Educators can balance the workload by differentiating assignments, considering the individual needs and abilities of students, and providing flexible deadlines. Communication with students and parents helps to ensure that homework is manageable and effective for everyone.

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Number Line

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  • (\sin^2(\theta))'
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  • Is there a step by step calculator for math?
  • Symbolab is the best step by step calculator for a wide range of math problems, from basic arithmetic to advanced calculus and linear algebra. It shows you the solution, graph, detailed steps and explanations for each problem.
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  • Symbolab is the best step by step calculator for a wide range of physics problems, including mechanics, electricity and magnetism, and thermodynamics. It shows you the steps and explanations for each problem, so you can learn as you go.
  • How to solve math problems step-by-step?
  • To solve math problems step-by-step start by reading the problem carefully and understand what you are being asked to find. Next, identify the relevant information, define the variables, and plan a strategy for solving the problem.
  • Practice, practice, practice Math can be an intimidating subject. Each new topic we learn has symbols and problems we have never seen. The unknowing...

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Solving the Homework Problem by Flipping the Learning

$17.56 member price join now.

Teachers view homework as an opportunity for students to continue learning after the bell rings. For many students, it's often just the dreaded "H" word. How can educators change the way students view homework while ensuring that they still benefit from the additional learning it provides? It's easy. Flip the learning!

Table of contents

The Case for Flipped Homework

The Hallmarks of Good Flipped Homework

Flipped Strategies for Educators

Assessing and Grading Flipped Homework

Strategies for Schools, Administrators, and Parents

About the authors

homework problem solving

Jonathan (Jon) Bergmann is one of the pioneers of the flipped classroom movement. He has helped schools, universities, organizations, and governments all over the world introduce active and flipped learning into their contexts. A frequent keynote speaker who challenges and inspires audiences with stories and real-life examples from his classroom, Bergmann teaches full-time science and assists with staff development at Houston Christian High School in Houston, Texas.

Both research and personal experience have taught him that students learn best when they are active participants and that they don't care what their teacher knows until they know that their teacher cares. He tries every day to connect with his students.

Book details

Product no., 978-1-4166-2372-4, release date, member book, topics in this book, related books.

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IMAGES

  1. Homework For Thinkers

    homework problem solving

  2. Year 2 Place Value Problem Solving Homework Worksheet / Worksheet

    homework problem solving

  3. Activities For Thinkers Problem-Solving Printables

    homework problem solving

  4. 13 Problem-Solving Activities For Toddlers And Preschoolers

    homework problem solving

  5. My Homework Lesson 8 Problem Solving Draw A Diagram

    homework problem solving

  6. Developing Problem-Solving Skills for Kids

    homework problem solving

VIDEO

  1. Homework Difficulties in Solving Problems

  2. PCIT Homework Problem Solving

  3. Solving homework on Lecture 20

  4. Homework Problem Solving

  5. Lesson 1.12 Problem Solving • Model Addition and Subtraction

  6. 📝 SAT Shortcuts: Practice Test 1.3.3 Word Problems (No Calculator)

COMMENTS

  1. Free AI Homework Helper

    A 24/7 free homework AI tutor that instantly provides personalized step-by-step guidance, explanations, and examples for any homework problem. Improve your grades with our AI homework helper!

  2. Mathway

    Free math problem solver answers your algebra homework questions with step-by-step explanations.

  3. Homework Overview

    The Art of Problem Solving Honor Code is as follows: ... you have a question about a homework problem, or you'd like some help understanding a particular solution. Course staff, other AoPS administrators, and even your classmates are able to help answer you questions, make suggestions, or provide any other assistance you might need! ...

  4. Art of Problem Solving

    Art of Problem Solving offers two other multifaceted programs. Beast Academy is our comic-based online math curriculum for students ages 6-13. And AoPS Academy brings our methodology to students grades 2-12 through small, in-person classes at local campuses. Through our three programs, AoPS offers the most comprehensive honors math pathway ...

  5. The 5 Best Homework Help Websites (Free and Paid!)

    Best Site for Math Homework Help: Photomath. Price: Free (or $59.99 per year for premium services) Best for: Explaining solutions to math problems. This site allows you to take a picture of a math problem, and instantly pulls up a step-by-step solution, as well as a detailed explanation of the concept.

  6. Short problems for Starters, Homework and Assessment

    Short problems for Starters, Homework and Assessment. The links below take you to a selection of short problems based on UKMT junior and intermediate mathematical challenge questions. We have chosen these problems because they are ideal for consolidating and assessing subject knowledge, mathematical thinking and problem-solving skills.

  7. Problem Solving Packet

    worksheet. Guide your clients and groups through the problem solving process with the help of the Problem Solving Packet. Each page covers one of five problem solving steps with a rationale, tips, and questions. The steps include defining the problem, generating solutions, choosing one solution, implementing the solution, and reviewing the process.

  8. 12 Ways to Improve Problem Solving Skills

    The ability to solve problems applies to more than just mathematics homework. Analytical thinking and problem-solving skills are a part of many jobs, ranging from accounting and computer programming to detective work and even creative occupations like art, acting, and writing.

  9. 1.3: Problem Solving Strategies

    Problem Solving Strategy 6 (Work Systematically). If you are working on simpler problems, it is useful to keep track of what you have figured out and what changes as the problem gets more complicated. For example, in this problem you might keep track of how many 1 × 1 squares are on each board, how many 2 × 2 squares on are each board, how ...

  10. Why is homework good for your brain?

    Homework is not just a task assigned by teachers to keep students occupied after school; it has far-reaching cognitive benefits and contributes to brain growth and development. Through various homework assignments, students have the opportunity to enhance critical thinking skills, memory retention, and problem-solving abilities.

  11. Microsoft Math Solver

    Get math help in your language. Works in Spanish, Hindi, German, and more. Online math solver with free step by step solutions to algebra, calculus, and other math problems. Get help on the web or with our math app.

  12. PDF Homework Practice and Problem-Solving Practice Workbook

    Visit us online at ca.gr3math.comISBN: 978--02-111967-7 MHID: -02-111967-8. Homework Practice and Problem-Solving Practice Workbook. Contents Include: • 117 Homework Practice worksheets- one for each lesson • 117 Problem-Solving Practice worksheets- one for each lesson to apply lesson concepts in a real-world situation.

  13. Problem Solving Skills: Meaning, Examples & Techniques

    Problem-solving is the ability to use appropriate methods to tackle unexpected challenges in an organized manner. The ability to solve problems is considered a soft skill, meaning that it's more of a personality trait than a skill you've learned at school, on-the-job, or through technical training. While your natural ability to tackle ...

  14. Wolfram Problem Generator: Unlimited AI-generated Practice Problems

    Wolfram Demonstrations. Mathematica. MathWorld. Online practice problems with answers for students and teachers. Pick a topic and start practicing, or print a worksheet for study sessions or quizzes.

  15. 5 Ways How Does Homework Teach Students How To Problem Solve

    2. Homework helps manage your time and improves time management. Homework helps you manage your time by setting aside a specific time for it and allows you to work on problem-solving skills in a more focused way. By doing homework, you can learn how to use your time outside school better and improve your time management skills. 3.

  16. MathGPT

    MathGPT is an AI-powered math problem solver, integral calculator, derivative cacluator, polynomial calculator, and more! Try it out now and solve your math homework! Snap, Solve, Submit! Upload a screenshot and solve any math, physics, or accounting problem instantly with MathGPT!

  17. 10 Best Problem-Solving Therapy Worksheets & Activities

    14 Steps for Problem-Solving Therapy. Creators of PST D'Zurilla and Nezu suggest a 14-step approach to achieve the following problem-solving treatment goals (Dobson, 2011): Enhance positive problem orientation. Decrease negative orientation. Foster ability to apply rational problem-solving skills.

  18. The Pros and Cons of Homework

    Homework also helps students develop key skills that they'll use throughout their lives: Accountability. Autonomy. Discipline. Time management. Self-direction. Critical thinking. Independent problem-solving. The skills learned in homework can then be applied to other subjects and practical situations in students' daily lives.

  19. The Pros and Cons of Homework

    By learning to manage their time, students also practice their problem-solving skills and independent thinking. One of the positive effects of homework is that it forces decision making and compromises to be made. 4. Homework Opens A Bridge Of Communication. Homework creates a connection between the student, the teacher, the school, and the ...

  20. Homework AI: Best AI Homework Helper & Solver (Free)

    Our smart AI homework helper delivers detailed, step-by-step solutions, transforming study sessions into smooth sailing. Covering all subjects, from complex calculus to intricate biology, our homework AI is here to ease the stress and boost your grades. ... HomeworkAI doesn't just deliver answers—it teaches problem-solving, becoming your ...

  21. Best AI Homework Helper Online

    Our Question AI has unique features and all free, also known as Homework AI. Snapping & Problem Solving. Just take a picture of your math problems and then get the answers quickly! Wonderful Homework AI copilot. 24-hour AI copilot. 24 hours online answer questions and provide u with professional and concise solutions! Question AI is your good ...

  22. Step-by-Step Calculator

    To solve math problems step-by-step start by reading the problem carefully and understand what you are being asked to find. ... define the variables, and plan a strategy for solving the problem. en. Related Symbolab blog posts. Practice, practice, practice. Math can be an intimidating subject. Each new topic we learn has symbols and problems we ...

  23. Solving the Homework Problem by Flipping the Learning

    Solving the Homework Problem by Flipping the Learning. By. Jonathan Bergmann. $21.95. $17.56 member price join now. Shop Now. For 100 or more copies of a single title call 1-800-933-2723 x5773 or dial direct 1-703-575-5773.

  24. Mathway

    Free math problem solver answers your algebra homework questions with step-by-step explanations.