project topics mathematics education

Project Topics | Mathematics Education 150 Topics (available)

Mathematics Education Project Topics & PDF Materials for Students

150 best project topics & pdf materials for mathematics education students, here is the list of 150 best mathematics education project topics and materials for (final year and undergraduate) students in nigeria & other english speaking countries:.

Relative Academic Performances Of Secondary School Students In School Certificate Mathematics & English Language. A Case Study Of Enugu North L.G.A

Availability Of Laboratory Facilities For Effective Teaching – Learning Of Mathematics, Integrated Science And Computer Science In Junior Secondary Schools. Case Study Of Enugu North L.G.A

Effect Of Class Size To The Teaching And Learning Of Mathematics. In Enugu North Local Government Area Of Enugu State

Effect Of Student Perception On Teaching And Learning Mathematics. A Case Study Of Igboeze North Local Government Area Of Enugu State

Problem Of Teaching And Learning Of Mathematics In Senior Secondary Schools. Case Study Of Enugu North Lga Of Enugu State

Impact Of Laboratory Practical On Senior Secondary School Student Academic Achievement In SS2 Biology, Chemistry And Mathematics. A Case Study Of Enugu North Lga Of Enugu State

Impact Of Laboratory Practical On Senior Secondary School Student Academic Achievement In Biology, Chemistry And Mathematics. Case Study Of Ss2 In Enugu North Lga

Problems Militating Against The Effective Teaching And Learning Of Mathematics In Junior Secondary Schools. (A Case Study Of Enugu West Senatorial Zone, Enugu State)

Investigation Into Academic Indiscipline And Failure Among Secondary School Students In (English Language Mathematics, Igbo language, Agricultural Science, Economics. A Case Study Of Nigeria

Causes And Effects Of Mass Failure In Junior Secondary School Certificate Examination (Jssce) Mathematics. A Case Study Of Nsukka Educatiopn Zone Of Enugu State

Parent-Child Communication Pattern As Correlates Of Interest In Academic Achievement Of Student In Mathematics.

Effects Of E-Learning On Teaching And Learning Of Mathematical Concepts.

Problems Of Teaching Mathematics In Secondary Schools.

Influence Of Students Attitudes And Teachers Motivation Towards Learning And Teaching Mathematics..

Social Factors Affecting Effective Teaching And Learning Of Mathematics In Senior Secondary School. In Adamawa State

Secondary School Student Attitudes Towards The Study Of Mathematics And Their Academic Achievement.

Effect Of Discovery Method In Teaching And Learning Mathematics.

Drug Abuse And Cultism As Correlates Of Students Attitudes And Academic Performances In Upper Basic Two Mathematics. In Benue State

Challenges And Prospects Of Teaching And Learning Mathematics Among The JSS Students. In Suleja Local Government Area In Niger State

Survey Of Problems Affecting Teaching Of Mathematics In Junior Secondary School. In Oredo Local Government Area

Investigative Study On The Causes Of Mass Failure In Mathematics In External Examinations.

Factors That Determine Mathematics Related Career Choices Among Senior Secondary Schools.

Impact Of Parental Involvement On The Academic Performance Of Mathematics Students. A Case Study Of Secondary School Students In Amuwo Odofin LGA, District 5, Lagos State

Factors Influencing The Attitude Of Secondary School Students Towards The Study Of Mathematics.

Downloadable Mathematics Education Project Topics and PDF/DOC Materials END HERE. NOTE: Below are Mathematics Education Research Areas that students & researchers can develop independently .

• Innovative Pedagogical Approaches: Explore novel teaching methods and strategies in mathematics education, such as flipped classrooms, inquiry-based learning, and project-based learning, assessing their effectiveness in enhancing student engagement and understanding.
• Integration of Technology: Investigate the integration of technology, including computer-based learning tools, educational apps, and interactive simulations, to facilitate mathematical understanding and skill development among students.
• Assessment Methods: Examine various assessment methods in mathematics education, including formative assessment, summative assessment, and alternative assessment techniques, to evaluate student learning outcomes accurately.
• Cultural Relevance in Mathematics Education: Analyze the cultural factors that influence mathematics teaching and learning, exploring ways to make mathematical content more culturally relevant and accessible to diverse student populations.
• Gender and Mathematics: Investigate gender differences in mathematical achievement and attitudes towards mathematics, exploring strategies to address gender disparities and promote equity in mathematics education.
• Mathematics Anxiety: Explore the phenomenon of mathematics anxiety among students and its impact on learning outcomes, identifying effective strategies for alleviating anxiety and promoting positive attitudes towards mathematics.
• Teacher Professional Development: Examine professional development programs for mathematics teachers, focusing on strategies for enhancing pedagogical knowledge, content knowledge, and instructional practices.
• Mathematical Problem Solving: Investigate the development of mathematical problem-solving skills among students, exploring instructional approaches and learning environments that foster problem-solving abilities.
• Mathematics Curriculum Development: Analyze mathematics curriculum frameworks and standards, exploring approaches to curriculum design and implementation that promote coherence, rigor, and relevance.
• Mathematical Modeling: Explore the use of mathematical modeling in the classroom, investigating how modeling tasks can engage students in authentic mathematical inquiry and real-world problem-solving.
• Mathematics and Multilingual Learners: Investigate effective instructional strategies for teaching mathematics to multilingual learners, considering language barriers and cultural differences in mathematical understanding.
• Mathematics and Special Education: Explore strategies for teaching mathematics to students with diverse learning needs, including those with disabilities or learning difficulties, focusing on inclusive instructional practices.
• Mathematics and Gifted Education: Examine approaches to challenging and enriching the mathematical learning experiences of gifted students, considering differentiated instruction and enrichment programs.
• Mathematics and Social Justice: Investigate the intersection of mathematics education and social justice, exploring ways to address inequities in access to high-quality mathematics instruction and opportunities.
• Mathematics Teacher Identity: Explore the development of teacher identity in mathematics education, considering factors that shape teachers’ beliefs, attitudes, and practices in teaching mathematics.
• Mathematics Teacher Collaboration: Investigate collaborative practices among mathematics teachers, including professional learning communities, lesson study groups, and co-teaching arrangements, to promote teacher collaboration and collective efficacy.
• Parental Involvement in Mathematics Education: Examine the role of parents and families in supporting children’s mathematical learning, exploring strategies for enhancing parental involvement and communication between home and school.
• Cross-Curricular Connections: Explore interdisciplinary connections between mathematics and other subject areas, such as science, technology, engineering, and the arts, fostering integrated approaches to teaching and learning.
• History of Mathematics Education: Investigate the historical development of mathematics education, examining influential figures, movements, and reforms that have shaped the field over time.
• Ethics in Mathematics Education Research: Reflect on ethical considerations in mathematics education research, including issues related to participant consent, confidentiality, and potential harm to participants.
• Mathematics Teacher Beliefs: Explore the beliefs and attitudes of mathematics teachers towards teaching and learning, investigating the impact of these beliefs on instructional practices and student outcomes.
• Mathematics and Motivation: Investigate motivational factors that influence student engagement and achievement in mathematics, exploring strategies for fostering intrinsic motivation and a growth mindset.
• Mathematics and Socioeconomic Status: Examine the relationship between socioeconomic status and mathematics achievement, considering the impact of poverty, access to resources, and educational opportunities on student outcomes.
• Assessment for Learning: Explore the principles of assessment for learning in mathematics education, focusing on how formative assessment practices can enhance student understanding and inform instructional decisions.
• Mathematics and Neuroscience: Investigate insights from cognitive neuroscience that inform our understanding of mathematical learning processes, exploring implications for instructional design and intervention strategies.
• Mathematics Teacher Preparation: Examine pre-service and in-service teacher preparation programs in mathematics education, evaluating the effectiveness of different approaches in preparing teachers for the classroom.
• Mathematics and Gifted Education: Investigate approaches to identifying and serving gifted students in mathematics, considering issues related to assessment, curriculum differentiation, and talent development.
• Mathematics and Social Media: Explore the use of social media platforms for mathematics education, considering how online communities, resources, and collaborative tools can support teaching and learning.
• Mathematics and Environmental Education: Investigate connections between mathematics and environmental education, exploring ways to integrate mathematical concepts and skills into the study of environmental issues and sustainability.
• Mathematics and Critical Thinking: Examine the role of mathematics in promoting critical thinking skills, exploring instructional strategies that encourage students to analyze, evaluate, and solve complex problems.
• Mathematics and Cultural Diversity: Investigate cultural perspectives on mathematics teaching and learning, considering how cultural norms, values, and practices influence mathematical reasoning and problem-solving approaches.
• Mathematics and Entrepreneurship Education: Explore connections between mathematics education and entrepreneurship education, considering how mathematical thinking and problem-solving skills are essential for entrepreneurial success.
• Mathematics and Global Competence: Investigate the role of mathematics education in fostering global competence, including intercultural understanding, communication skills, and awareness of global issues.
• Mathematics and Environmental Justice: Explore the intersection of mathematics education and environmental justice, considering how mathematical modeling and data analysis can inform advocacy and decision-making.
• Mathematics and Early Childhood Education: Investigate effective approaches to teaching mathematics in early childhood settings, focusing on developmentally appropriate activities and instructional strategies.
• Mathematics and Indigenous Knowledge: Explore connections between mathematics education and indigenous knowledge systems, considering culturally relevant approaches to teaching and learning mathematics.
• Mathematics and Health Education: Investigate connections between mathematics education and health education, exploring how mathematical concepts and skills can be applied to understanding health-related data and making informed decisions.
• Mathematics and Social Emotional Learning: Explore the intersection of mathematics education and social-emotional learning, considering how mathematical tasks and collaborative activities can promote skills such as self-regulation, perseverance, and empathy.
• Mathematics and Career Readiness: Investigate the role of mathematics education in preparing students for future careers, considering the relevance of mathematical skills in various industries and professions.
• Mathematics and Sustainable Development Goals: Explore connections between mathematics education and the United Nations Sustainable Development Goals, considering how mathematical thinking and problem-solving can contribute to addressing global challenges such as poverty, inequality, and climate change.

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15 Best & Fun Math Projects for Students

Super Easy and Super Fun Math Project Ideas for Grade 1 Students

Exploratory ideas for math projects for grade 2 students, project-based learning math ideas for grade 3 students, math project-based learning ideas for grade 4 students, advanced math projects for students in grade 5, frequently asked questions (faqs).

Math projects for students are a great way to get kids interested in math . They can be used to teach new concepts, review old ones, or just provide some fun and engaging math practice. There are tons of great math projects out there, but we’ve compiled a list of fifteen easy and engaging math projects for elementary school students—the best of the best!

1. Scoop and Cone Matching Game

What you need:

• Cones and scoops made from felt or cardstock
• Marker or sketch pens

Description:

Write a number on the cone. Write different combinations of addition and subtraction equations to represent the number on the scoop.

Students have to solve the equations and match the correct scoop to the cone.

Skills Learned:

Addition, subtraction, and the concept of equations

2. More or Less Dot Games

• Ten frame cards
• A set of dots (or colorful buttons or plastic corks to use as dots)
• A deck of cards

Give a student a card and add some dots to it. Ask them, “How many dots are there on the card?” Once students master this, you may ask them, “What number is one more/one less?” You can also give them two cards and ask which one has more or less dots.

For two or more students, card games are a gold mine! Take a deck of cards. Snip off their corners with numerals written on them. Place the cards with their face downward. Ask each student to turn up a card. Ask them to tell whose card is “more” or “less.” Each correct answer wins them a point!

Visualizing numbers, understanding the concept of more or less, comparing numbers, addition, and subtraction

3. Shape Graphs

• Different geometric shapes in different colors and sizes
• Graph papers with large rows and columns (with rows mentioning shape names and columns mentioning numbers)
• Some crayons

Distribute some graph paper among the children. Spread out some shapes in front of them. They have to find out how many shapes of each type there are and color that many boxes of relevant columns.

Recognition of geometric shapes by their names, and understanding and representing data in pictorial form

4. Elementary Architects

• Instructions and photos of room designing projects
• 2-page student project sheet to promote reading in math
• Note-taking forms
• Sample blueprints for reference
• Brainstorming sheet
• Grid paper templates

Ask the students to design their rooms, calculate areas, and estimate flooring needs by reading the instructions, looking at the photos, and taking notes.

Students love to play architects. Allow them sufficient room for being creative to promote their spatial awareness.

Reading comprehension, estimation, area, and perimeter calculation

5. M&M’s Math Game

• A box of colorful m&m’s
• Graph papers for kids

Let your students dig into the box of m&m’s and take a few each. They have to count how many m&m’s of each color they got. If they count m&m’s of each color correctly, they can eat them! Otherwise, they have to return the m&m’s to the box and try again!

As they master their skills, you can take this math game to the next level. They can make a graph using graph paper and crayons! You may have to help them label the graph and the graphing part itself.

Counting, addition, making graphs

6. Hit a Home Run for Math Fact Fluency

• DIY baseball game board with math facts
• Number cards
• Counters to use as baseball players—9 for each team

Write the numbers 1 to 9 in one row and 0 in the next row to make a baseball diamond.

Help your students write math facts such as doubles (2 + 2, 3 + 3, etc.), near doubles (9 + 8), addition/subtraction of 10 (8 + 2, 5 + 5), and related subtraction facts (7 – 3, 9 – 6) on the number cards.

To play, have each student roll two dice. They get to move one of their baseball players the number of spaces corresponding to the first die and then answer the math fact that corresponds to the number they landed on. If they answer correctly, they get to roll again. The first player to get three of their baseball players “home” wins!

Math facts fluency, addition, subtraction

7. Place Value in the Wild Math Project

• Digital and printable version of a student guide with detailed instructions and visuals
• Student printables or digital recording sheets guiding students on how to select a habitat, research animals of that habitat, note sizes and lifespans of these animals, etc.

As third graders research animals as expedition scouts for Wildlife Explorers International, they learn about place values through various activities, such as representing numbers in different ways, comparing numbers, and estimating lengths, heights, and lifespans of animals.

You can ask students to use standard numbers, expanded forms, and word forms of numbers. They may also be introduced to decimals through this project.

Place value, estimation, decimals

8. The Time of Your Life

• A printable or digital student guide with detailed instructions, visuals, and student printables
• Analog and digital clocks (one per student pair)

In this project, students learn to read the time on both analog and digital clocks. They also practice setting the time on these clocks.

As they work in pairs, they take turns being the “teacher” and the “student.” The teacher explains to the student how to read the time on a clock. Then, the student sets the time on the clock according to the teacher’s instructions.

Or they tell how many seconds, minutes, or hours have elapsed in doing an activity.

It’s a great activity for third graders, where students can win prizes for being the best timekeepers!

Telling time, elapsed time

9. What’s Your Angle, Pythagoras?

• A scorecard
• Child-safe compass (optional)

Pythagorean principles are put to the test in this game! Players use a protractor and ruler (or child-safe compass) to draw angles and then measure the length of the sides of right triangles. The goal is to have the longest hypotenuse at the end of the game.

You can call out “Right-Angled Triangle” randomly, and the students have to arrange themselves in the shape in a flash. Those who do it correctly win!

You may also call out “Right Angle”, “Acute Angle”, or “Obtuse Angle” where students have to pair up instantly. If some fail to do it, they are out.

Angles, Pythagorean theorem

10. Calendar Math in the Classroom

• A printable or digital calendar template

A perfect math review technique for fifth graders, calendar math is a great way to engage them in the concepts of days, weeks, months, and years. You have to display a calendar in the classroom and point out various aspects of it to the students. For example, you can ask them how many days there are in February, or how many months have 31 days, etc.

You can also use the calendar to teach place value. For instance, you can ask students to name the day on which their birthdays fall this year and write it down. Then, they can find out the day on which their birthdays will fall next year and so on.

This activity can be done with a physical calendar or a digital one. Students can use real-world objects like coins or candy to help them understand the concepts of place value, addition, and subtraction.

Days, weeks, months, years, place value, addition, subtraction

11. Run a Pizza Place

• Pizza boxes or paper plates
• Colorful cardboard pizzas

Bring fraction to life with this fun activity! Students run their own pizza place, where they take orders, make pizzas, and serve them to customers.

They can use play money to buy pizza toppings and then charge customers for their pizzas. They can also use fraction strips or circle fractions to create pizzas of different sizes.

Such math projects for students teach them concepts like halves, thirds, fourths, eighths, and more. And children will have a blast doing it!

Fractions, equivalent fractions, comparing fractions, adding and subtracting fractions

12. Hot Cocoa Project!

• Hot cocoa stall
• Marshmallows
• Whipped cream (optional)
• Chocolate shavings (optional)
• Recipe book
• Play money or real money

An excellent activity for young entrepreneurs (under adult supervision), this hot cocoa project simulates a hot cocoa stand. Students can make and sell hot cocoa to their classmates, using real or play money.

They can follow a recipe to make the hot cocoa mix, and then use it to make individual cups of hot cocoa. They can also add marshmallows, whipped cream, and chocolate shavings to their hot cocoa, and charge extra for these toppings.

This activity is a great way to teach children about money, measurement, and fractions. And they’ll love getting creative with the hot cocoa mix!

Money, measurement, fractions, addition, subtraction

13. Performance Math Art

• Props or costumes (optional)
• A video recording device (such as a smartphone)

Divide students into groups of 2 to 4 and ask them to prepare a performance art (dramatic poetry, song, or a skit) to explain the Order of Operations (or any other mathematical concepts, such as area and perimeter, exponents and roots, or geometry).

After they have practiced, film their final performance. Students can watch the videos to revise the concept later.

Students may also review each other’s performance in terms of delivery, clarity, and creativity to give constructive feedback.

Order of operations, area and perimeter, exponents and roots, geometry

14. Probably Probability

• DIY probability tables

An inspirational idea for kinesthetic learners, this activity gets students up and about as they experiment with probability.

Provide each student with a die (or multiple dice) and a coin. Ask them to roll the die (or dice), flip the coin, and record their results in a table. They can create their probability tables.

Once they have collected enough data, they can look for patterns and predict the probability of certain events.

Probability, independent and dependent events, expected values

15. The Theme Park Project

• Theme Park templates (for guidance)
• Construction paper
• Glue or tape
• Markers or crayons
• Small toys (optional)

This project is perfect for a math class that is learning about geometry and measurement. Students will use their knowledge of shapes, angles, and measurements to create a mini theme park.

They can start by choosing a template (or creating their own) and then cutting out the shapes from construction paper. Once they have all the pieces, they can assemble their theme park and add details with markers or crayons.

They can also add small toys to their theme park if they wish. Finally, they can measure the area and perimeter of their creation.

Children can dream up new rides, give them outlandish names, create menus for concession stands, and research healthy and junk foods!

A lot of math happens in everyday life if we just look for it.

Geometry, measurement, area, perimeter

By working on these fun projects, students can learn and practice various math skills, from basic counting and graphing to more advanced concepts such as fractions and decimals. These math projects for students can be used to supplement your regular math curriculum or as a standalone activity. Either way, your students are sure to enjoy them!

How can I make sure my students are engaged in the project?

Make sure to give your students a chance to be creative and have fun with the projects. For example, with the “Theme Park Project,” encourage them to develop their own designs and be as creative as possible with the details. With the “Probably Probability” project, let them experiment with different ways of collecting data and see what patterns they can find.

Do I need to prepare anything in advance?

It largely depends on the project you choose. For some projects, you may want to prepare templates in advance. For others, such as the “Probably Probability” project, you only need dice and coins.

How long should the projects take?

Again, it depends on the project. Some math projects for students require several days to complete. Others can be done in one class period or a few minutes.

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Math Project-Based Learning: 22+ Challenge-Solving Projects

Most any project-based learning involves math. Students need to calculate current numbers in a situation they are working to improve, tabulate survey responses, graph results, measure liquid or solid quantities for an experiment, recipe, or other product, determine how much time is needed for each part of a presentation – are some examples of how students use math in any project.

In addition, here are project-based learning challenges with special focus on math:

Role playing architects and interior designers – how will we design rooms for a new building in our community? 

What plans for our new school will we recommend to the architects?

How can we add to the school garden to help other plants and animals live here? For example build a new raised bed, bird house or water feature. (from Amy Farmer)

How can we plan and create a school supply store for our school?

Role playing landscape architects how can we plan an enjoyable outdoor public space?

How can we help a community or group that needs to carry water by designing a light weight container using least amount of materials? (from Kathy Johnson) 

As planning consultants, how can we predict our town’s population growth or decrease over time so that appropriate plans can be made for community resources?  

How can we use math to plan a road trip? (from Ursula Cote)

How can we predict the number of patients in a possible future Ebola epidemic, so correct number of hospital beds and other resources will be available? (from Tennille Moore)

Role playing town planners, how can we plan an annual budget? 

How can we design a solar chocolate melter that works outside on a cold winter day?

Role playing families with different incomes how can we plan a family budget and address unexpected expenses? (Adapted from “ Wealth Matters ,” by Teaching Tolerance.)

What advice can we give to a car purchaser about interest rates?

How can we help a local nonprofit or business analyze their social media trends to use for their future planning? (Telannia Norfar)

What budgeting advice can we give graduates beginning to live on their own?  How can we help them prepare a budget?

How can we plan dimensions for our garden’s beds? How much will supplies for our garden cost?

Craig Kemp’s students work on How can we create math board games that incorporate required elements?

How can we plan a meal within a stated budget?

How can we calculate our field trip’s expenses and keep them within our budget?

Role playing city planners, how can we design a community friendly town?  Create a model true to scale.

How can we plan our budget for the party we are having for our next door neighbor class? How can we plan a schedule with time for each party activity?

How can we plan a vacation within  a $_______ budget.

How much would it cost to create your ideal backyard?

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Project Ideas for Mathematics

Grocery Shopping— In preparation, students should talk to their families about what they are planning for food for the week. How do they decide what to buy? Provide students with a budget and grocery ads. You might give them a list of items they would already have on hand, such as salt or mayonnaise. Have them work in teams to plan menus and what to shop for the week. Have recipe books available in the room. What will they buy? Are they within the budget? Can they make their meals with what they bought? How do the meals stack up nutritionally? (Those with online access can access sources such as PeaPod for a more complete listing of items.) Suitable for grades 3 and up. The younger children might think about only lunches or dinners.

Grocery Receipt Detectives— Go to a nearby grocery store and look for a discarded, long receipt. Organize the items on the receipt into categories and develop a graph. Study the categories and write a short story about the family that purchased those grocery items.

Stock Market Game— Take an imaginary $100,000 and invest in various stocks. Watch and graph the value of your portfolio over time.

Fantasy Sports— Choose a celebrity sports figure. Gather data about this person from the Internet. Defend why they are among the best in their sport.

Design a Playground— Draw a proportionally scaled playground. Include as many different geometric shapes as possible. Do the math for space and cost.

A Map of the School— Draw a proportionally accurate map of the school in its surrounding area. Figure walking distances to various points within the neighborhood.

Measurement Olympics— Plan and execute active events that involve measurement such as: cotton ball throw, standing broad jump, vertical height leap or how many lima beans can you hold in one hand. Have students create other events. Keep track of scores for participants in the events and figure the differences between winners and others.

How Much Can the Room Hold?— How many Kleenex boxes would fill your classroom? The multipurpose room? Your school? Your bedroom? Use estimation, reasoning, measurement and problem solving to determine the answer.

Where Is Math?— In their school or neighborhood, students could take photographs with digital cameras (or draw pictures) to show different places where math could be found. Students could create a display board/poster and write a brief description, caption or question to elicit discussion on the math they found in the picture.

Million Dollar Project— ”Give” students a million dollars to spend on a single project. For example, if they bought a house, they could use the newspaper to find a house and create a budget for housing and utilities. If they bought a business, they would need to supply all of the materials for the business.

Million Dollar Project 2— Create an ideal playground. Find space on the school grounds and use spatial area concepts to create a playground. Students present their ideas/blueprints to the group.

String Art— Students use poster board or tag board to design geometric shapes/patterns using colored string. Patterns can be found in art curriculum or fabrics from varied cultures. Discuss the patterns. The finished designs can be displayed on a school wall or donated to a local children’s hospital or other public building.

Create a Game— Students will create a math game—the pieces, questions, packaging, rules, game board, advertisements for the game, etc. When presenting the game, students explain the game and “sell” it. Ask them to identify what math is involved in the game. Invite students to play the game. Donate the games to the school.

Math Author— Students write a math book that features a math concept and then illustrate the book. They research other types of math books, from the school or local libraries to create their own math “literature” book. Once completed, students present their books to each other and donate them to the school library or local hospital.

Share a Treat— Using a school kitchen (or whatever is available), have students bake and decorate a cake or make cookies. Students could then deliver the cake to a nursing home or senior citizen home in the area. This project involves measurement and following directions. In the absence of a kitchen, identify other treats that could be prepared without an oven or stovetop that could be prepared and shared.

Flat Stanley— Have students send Stanley to different parts of the community and beyond. Students will track Stanley’s travels on a map and calculate the miles traveled. The presentation would be a schoolwide bulletin board that is maintained by the students. If “Flat Stanley” is already being done by a class at school, do a similar project using a stuffed animal, which the after-school group can name.

Walk-It— If the school has a walking track or enough space in the building (such as in the gym) students can choose a destination and “walk there.” For example, they can walk from their school to Washington, D.C. They plot their journey, discuss mileage and geographical locations, plan the number of minutes to walk each day, estimate the total days for the trip, revise their estimation, etc. Once everyone has arrived in Washington, D.C., have a celebratory event, such as a luncheon at the White House. At the event, they present their chartings of the trip and compare their walking journey to other modes of transportation. They can also talk about what they “passed” along the way.

What if Math Disappeared?— Ask students to think about what their day would be like if they didn’t have math. Students can talk about how the world would change if math did not exist. They can investigate careers and try to prove that math is not needed in the careers. Invite guests in to talk about their careers and how math is, in reality, used each day. Students will keep a journal of how they do use math each day.

Shopping— For clothing, furnishing a house or apartment, gifts, school supplies, carpeting, paint or physical education equipment. How much do things really cost? What can you get for a budget? How much can you save through use of coupons or discounts? Can you save enough to make a difference by shopping at one store instead of another?

Plan a Celebration— (party, wedding, prom, picnic) Estimate how many will be there, food to be served with cost, decorations with cost. Organize, menu, schedule for attending to tasks, create budget, be ready to present for approval to the faculty (if school function) or other audience that will be picking up the tab.

Nutritious but Delicious School Meals— Plan lunch menus for the school to serve that would satisfy students’ tastes and follow rules of good nutrition. These menus can then be presented to the district’s food service staff.

Math in Schools— With a partner or small group-compile as many instances of math in the school as you can. The possibilities are as broad as students’ imaginations. (Examples: different shapes, statistics of student population and staff, areas/perimeters of spaces, cost of eating lunch each week, grading scales, average heights of students in different grades, steps and other distance measures from door to classroom, volume of rooms, etc.) Organize and create displays of information suitable for an exhibit.

Puzzles Project— After completing a number of different math-related puzzles, have students create their own and compile them into a booklet for all class members. Examples: word find, magic square, word arithmetic, word scramble with math vocabulary, rebus, riddles, secret message. (This idea from Hands-On Math Projects with Real-Life Applications by Judith Muschla and Gary Robert Muschla. Josey-Bass.)

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12 Math Project Ideas for Middle and High School Students

By János Perczel

Co-founder of Polygence, PhD from MIT

6 minute read

Mathematics serves as the foundation for most fields of science, such as physics, engineering, computer science, and economics. It equips you with critical problem-solving skills and the ability to break down complex problems into smaller, more manageable parts. It helps you avoid ambiguity and communicate in what is often called “the universal language,” so-called because its principles and concepts are the same worldwide. Beyond the fact that studying math can open up many career opportunities, some mathematicians also simply find beauty in the equations and proofs themselves.

In this post, we’ll give you ideas for different math research and passion projects and talk about how you can showcase your project.

How do I find my math passion project focus?

Because math is so foundational in the sciences, there are many different directions you can take with your math passion project. Decide which topics within mathematics most speak to you. Maybe you’re more interested in how math is used in sports statistics, how you can harness math to solve global problems, or perhaps you’re curious about how math manifests itself in the physical realm. Once you find a topic that interests you, then you can begin to dive deeper. 

Keep in mind that some passion projects may require more technical skills, such as computer programming, whereas others may just explore theoretical concepts. The route you take is totally up to you and what you feel comfortable with, but don’t be afraid to pursue a project if you don’t currently have the technical skills for it. You can view it as an opportunity to learn new skills while also exploring a topic you’re excited about.

Do your own research through Polygence!

Polygence pairs you with an expert mentor in your area of passion. Together, you work to create a high quality research project that is uniquely your own.

What are the best math project ideas?

1. the mathematical properties of elections.

In recent years, there has been a lot of discussion about which election mechanism is most effective at achieving various goals. Proposed mechanisms in United States elections include majority elections, the electoral college, approval voting, and ranked-choice voting. All of these mechanisms have benefits and drawbacks, and it turns out that no perfect election mechanism exists. Look at the work being done by mathematicians to understand when elections fail, and what can be done to improve them. Choose the strongest mechanism and use evidence to support your claim.

Idea by math research mentor Grayson

2. Knot theory

A knot is simply a closed loop of string. Explore how mathematicians represent knots on a page. Learn how knots can be combined, and how to find knots that can't be created by combining other knots. You can learn techniques for determining whether or not two knots are distinct, in the sense that neither can be deformed to match the other. You can also study related objects, such as links and braids, and research the application of knots in the physical sciences.

Idea by math research mentor Alex

3. Bayesian basketball win prediction system

The Bayes’ Rule is crucial to modern statistics (as well as data science and machine learning). Using a Bayesian model to predict the probability distribution of basketball performance statistics, you can attempt to predict a team’s win and loss rate versus another team by drawing samples from these distributions and computing correlation to win or loss. Your project could be as simple or as complicated as you want. Based on your interest and comfort level, you could use simple normal models, mixture models, Gibbs sampling , and hidden Markov models. You can also learn how to code a fairly simple simulation in R or Python. Then, you’ll need to learn how to interpret the significance of statistical results and adjust results over time based on the success/failure of your model over time.

Idea by math research mentor Ari

4. Finding value in Major League Baseball free agency

Here’s another sports-related project idea. Every offseason, there are hundreds of professional baseball players who become free agents and can be signed by any team. This project involves determining which players might be a good "value" by deciding which statistics are most important to helping a team win relative to how players are generally paid. After deciding which stats are the most important, a ranked list of "value" can be produced based on expected salaries.

Idea by math research mentor Dante

5. Impact of climate change on drought risk

Are you interested in environmental economics, risk analysis, or water resource economics?

You can use historical data on precipitation, temperature, soil moisture, drought indicators, and meteorological models that simulate atmospheric conditions to train a machine-learning model that can assess the likelihood and intensity of droughts in different regions under different climate scenarios. You can also explore your assessments' potential adaptation strategies and policy implications. This project would require some skills in data processing, machine learning, and meteorological modeling.

Idea by math research mentor Jameson

Go beyond crunching numbers

Interested in Math? We'll match you with an expert mentor who will help you explore your next project.

6. Making machines make art 

You can program a computer to create an infinite number of images, music, video game levels, 3D objects, or text using techniques like neural style transfer, genetic algorithms, rejection sampling, Perlin noise , or Voronoi tessellation . Your challenge then is to create a functioning content generator that you could then showcase on a website, research conference, or even in a gallery exhibition.

Idea by math research mentor Sam

7. Measuring income inequality and social mobility

If you’re interested in the intersection of mathematics and public policy, here’s an idea. Use data from the World Bank, the Organization for Economic Co-operation and Development (OECD), and other sources to calculate the Gini coefficient and the intergenerational elasticity of income for different countries and regions over time. Explore the factors that influence these measures and their implications for economic development and social justice. You will need to have some skills in data collection, analysis, and visualization.

8. Rocket (fuel) science

Rockets are mainly made out of fuel. When the fuel burns, it gets heated and expelled out, producing thrust. Fuel is heavy and, for long-range space missions, we need to carry around the fuel for the rest of the mission the whole way. It is important that the fuel gives us the most bang for our buck (i.e., the most acceleration per unit of fuel). Compare the amount of fuel (weight) required to get to various celestial objects and back using current electric and chemical propulsion technologies . Then do a cost analysis and compare how long it would take.

Idea by math research mentor Derek

9. COVID-19 and the global financial crisis

It is shocking how the economic effects of COVID-19 have far outweighed the ones from the Global Financial Crisis in 2007-08 . How much is the difference in terms of employment? Production? Let's go to the data!

Idea by math research mentor Alberto

10. Modeling polarization in social networks

We've all seen or heard about nasty political arguments and echo chambers on social media, but how and why do these happen? To try and find out, construct a mathematical and/or computational model of how people with different opinions interact in a social network. When do people come to a consensus, and when do they become more strongly divided? How can we design social networks with these ideas in mind?

Idea by math research mentor Emily

11. The world of mathematics

The history of mathematics dates all the way back to the very first civilizations and followed throughout history all over the globe. This development leads us to our way of living and thinking today. Rarely taught in math courses, the origins of math can provide clear insight into the necessities of learning math and the broad applications that math has in the world. Conduct research on a chosen time period, location, or figure in mathematics and describe the impacts this innovation or innovator had on the development of math as we know it today.

Idea by math research mentor Shae

12. Simulating the stock market

Here’s an idea for a beginner-to-intermediate statistics and programming project centered around Monte Carlo simulations. Monte Carlo simulations are random methods for modeling the outcome of a complicated process. These methods are used in finance all the time. How could you code a program that uses the Monte Carlo technique to "simulate" the stock market? You will need some familiarity with statistics, basic finance, and basic programming in any language to complete this project.

Idea by math research mentor Sahil

How can I showcase my math project?

After you’ve done the hard work of completing your mathematics passion project, it’s also equally important to showcase your accomplishments . You can see that in many of the project ideas above, there is a clear topic, but how you want to present the project is open-ended. You could try to publish a research paper , create a podcast or infographic, or even create a visual representation of your concept. You’ll find that although many project ideas can simply be summarized in a paper, projects can also be showcased in other creative ways.

Polygence Scholars Are Also Passionate About

What are some examples of math passion projects completed by polygence students.

There are several examples of math projects Polygence students have completed through enrolling in our programs; we’ll highlight two here.

Ahmet's mathematical passion project offers detailed breakdowns of the first introduced quantum algorithm Deutsch-Jozsa, and the first quantum algorithm proven to be faster than classical algorithms, Grover’s Algorithm. It also includes a side-by-side comparison of the quantum algorithms and their classical counterparts. He uploaded his paper on Github and plans to submit it to an official publication soon.

Anna’s finance project provides an overview of topics related to personal finance, covering tax and benefits, tax-deferred savings, interest rates, cost of living, investing, insurance, and housing to help young adults manage their savings. To further her understanding of how different areas of finance influence one's life consumption, she created a life consumption plan for a hypothetical person and produced a paper. 

How can I get guidance and support on my math project?

In this post, we covered how to find the right mathematics project for you, shared a dozen ideas for physics passion projects, and discussed how to showcase your project.

If you have a passion for math–or are generally curious about exploring mathematical concepts–and are interested in pursuing a passion project, Polygence’s programs are a great place to start. You’ll be paired with a mathematics research mentor with whom you’ll be able to meet one-on-one. Through these virtual mentorship sessions, your mentor can help you learn new concepts, troubleshoot issues you encounter along the way to bringing your math project to completion, and brainstorm with you on how to showcase your passion project .

Related Content

Math Competitions for High School Students

Why Research Mentorship is Critical for High School Students

Get an Edge in College Admissions Through Doing a Research Project

What Sets Polygence Apart from Other Research Programs for Middle and High School Students

More Than Just a Number: Showcasing Your Research on College Applications

How I Advocated for Students as an Admission Officer When They Wrote About Passion Projects

Math Projects : 20 Simple and Interesting Ideas

Table of Contents

23 January 2021

Reading Time: 7 minutes

Mathematics is not about understanding different things and concepts; it is about getting used to them by applying the concepts in everyday tasks.

What could be a better way to learn these applications other than interesting maths projects which facilitate both creativity and knowledge.

These projects on mathematics give an understanding of how mathematics works. Mathematics is in and around you everywhere in the form of numbers, shapes, sizes, volume, weight, etc.

Our task is to figure out and identify these numerous situations and things around us to play with numbers and concepts. 

• Fun Math activities for Class 3

Math projects  

Here is a downloadable PDF that consists of Math projects for Grades 6-10. Click on the download button to explore them. Understanding and grasping the ideas of mathematics in a better way.

These maths projects help in developing very important mathematical skills like:-

Correlating the concepts taught in the classes with the practical applications of those concepts

Proving a hand on experience to the children 

Fostering teamwork, coordination, and communication along with creativity and knowledge

Understanding and grasping the ideas of mathematics in a better way

Visualizing the concepts in the form of diagrams, graphs, and images facilitates a better understanding

Improving their problem-solving skills, reasoning, and planning skills, etc.

Making real-life decisions that leads to a holistic approach to learning.

In this article, we have brought for you 20 topics for maths projects which will help you develop simple maths projects.

Maths project ideas for Class 6

Some of the ideas for simple maths projects for class 6 are:

Number System Tree

The number system is one of the most basic concepts in mathematics. It is very important to understand the different types of numbers (order and even numbers, fractions and decimals, natural numbers, whole numbers, positive and negative numbers, etc.) and the different properties of numbers. A project for the same will help the student understand and correlate the relations between different types of numbers.

Shapes and Figures

Shapes, figures, and sizes are a very important concept of geometry. A student must understand the different properties of different geometrical figures. It starts from class 6 but has various applications in higher-level education. Therefore it is very important to have a proper foundation that is only possible through a project on the same.

Practical examples of different chapters

From class six onwards, students start getting exposed to different topics that have a number of practical applications like percentages, profit, and loss, interest, etc. Students can be asked to make their own problem statements by practicing creative problems with respect to the same chapters. This will help them to correlate the concepts with the practical world.

History of maths and different topics

It is very important to understand the history or the background of a subject or a topic before starting to learn more about it. But, because of the curriculum norms, this very important aspect is skipped from the school syllabus. Projects can be a great way to help students do research about it. This will facilitate better knowledge and understanding.

Conversions

There can be a project work that is specifically dedicated to conversions of different things like fractions to decimals or vice versa, negative to positive or vice versa, etc. These are very simple concepts but students often tend to make mistakes because of a lack of clear understanding. Good, detailed project work will help them develop a base.

Ideas for Maths Project for Class 7

Some of the ideas for the projects on mathematics for class 7 are:

Practical Applications of different chapters

As stated above, maths is a practical subject and it is very important to understand the concepts. The best way to do this will be to allow students to undergo practical examples related to different chapters and come up with creative problem statements, ideas, and solutions. For example, the student can find out the average amount spent on the purchase of different items, or he/she can find out the profit or the loss of the shopkeeper, etc.

Formula lists

Making a formula list will be a great project work because it will not only help the student in the short run but also facilitate his/her learning before the exams and in the case of higher education. This will serve both as a research and as a document of reference.

Puzzles and brain teasers projects

Puzzles and brain teasers are a very dynamic way of inculcating knowledge, fostering creativity, and facilitating practical viewpoints. This helps a student to think and come up with answers along with reasons to support it. It helps them in a better decision making process.

Algebraic expressions 

Students are exposed to a new field of mathematics in class 7 which is algebra. Good project work can help a student to develop a strong base in understanding different algebraic equations and expressions. This project work can include a number of numerical, interesting problem statements, and mental math calculations.

Sets and Venn diagrams

This is a very interesting concept but can be a confusing one if not understood properly because the concepts are somewhat overlapping with each other. There are very minute differences in this particular topic. Detailed project work can actually help a student clear all their doubts and develop a strong base for higher education.

Topics for Maths Project for Class 8

Some of the ideas for interesting maths projects for class 8 are:

Construction in Geometry

A very important part of geometry is to learn constructions of different shapes and figures of different types. Learning and building the basics of construction in geometry is very important to understand various higher-level educational studies like physics and architecture. 

This project work is actually never-ending. Students don't learn all the concepts in a single standard. They continue learning various different concepts in different chapters that have different practical applications. Slowly, the level of difficulty keeps on increasing. Therefore it is very important to stay updated and improvise the skills through project works which allow us to correlate the concepts of the chapters with practical examples.

Mensuration of figures

For the first time in class VIII, a student gets exposed to the chapter on menstruation. This chapter facilitates measurements of different things. It may include length, perimeter, area, etc. There are a number of concepts and a number of formulas that are related to this particular topic. Therefore giving good project work that helps students to understand these concepts by applying the given formulas and correlating them with the practical ships will foster growth and development in knowledge.

Mirror symmetry and Reflection

Symmetry and reflection are one of the easiest concepts of mathematics. This could be a very fun and interesting project for a student wherein he will understand the difference between symmetrical and asymmetrical figures and will also develop a base for higher-level education.

Making practical models for different topics

Project works can be done in two ways - (1) As mentioned above, using pen and paper by drawing various diagrams and graphs; (2) Making practical models explain different concepts. These practical models help a student to develop the power of visualization and foster teamwork and creativity. This will be a little difficult because it will require the culmination of different ideas from other subjects also. But, if done successfully, this can be a great learning experience.

Maths project ideas for Class 9-10

Some of the ideas for maths projects for class 9-10 are:

Heights and Distances

A student gets exposed to the concept of trigonometry for the first time in class 9-10. This concept is very widely used to understand heights and distances which plays a very important role in practical life. This also develops a base for various higher-level studies. Students can be asked to draw diagrams and graphs and correlate the concepts with the same to develop a better understanding.

Statistics and graphs

It is in class 9 that a very new dimension of mathematics opens up for the students which are known as statistics. A very important part of statistics is graphical representations that have their application in almost every sphere of knowledge. Therefore, it becomes very important to understand the basics of these concepts and good project work on this topic will definitely foster good learning.

Making and understanding 3D figures

There are various 3-D figures which a student must understand, like cubes and cuboid being the basics. The calculations for these 3-D figures are not as easy as the 2-D figures. Therefore, good project work will facilitate the visualization of 3-D figures and also help students to understand the various formulas and calculations related to it.

Similarity and Congruency

Another very important concept of geometry that pops up in class 9-10 is the similarity and congruency of triangles. Students often face a lot of difficulty in understanding these concepts. Therefore, a project work that has a good amount of research work with a number of assignments and questions to solve will definitely help a student to learn the concept of similarity incongruency.

Mensuration and Volume

The concepts of mensuration take a whole new level in class 9-10. It brings in new concepts like surface area, volume, etc., and also brings in new figures like a cylinder, circle, cone, etc. It is equally important to understand these concepts and shapes also. Good project work will definitely foster a good knowledge of these concepts.

These were some of the most interesting lists of maths project topics that we have curated for you through this article. We hope this article was useful and will help the readers to choose some of the most interesting topics out there to learn, grow and develop. These topics are proven to be the most beneficial for students. Choose from the best, the ones which suit you the best.

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Frequently Asked Questions (FAQs)

What are the mathematical tools which are essential in building projects.

• Chart Paper (For creating shapes etc.)
• Set Squares

What are different types of graphs which can be used to describe data?

• Bar Graph - For Discrete Numerical Data
• Pie Chart - For Percentage Data
• Histograms - For Continuous Numerical Data
• Line Chart - For Discrete Numerical Data (used for showing the comparison between the values)

What are different examples of Symmetrical shapes? ​​​​​

• Equilateral Triangle
• Cardioid (Heart Shape)
• Letter 'A'
• Letter 'U'

99+ Interesting Maths Project Ideas For College Students (2023)

Mathematics, often seen as just numbers and equations, is a fundamental discipline that goes beyond calculations. We will explore the essence of mathematics, highlighting why it is important for students. From enhancing problem-solving skills to encouraging logical thinking, mathematics plays a pivotal role in education.

In addition, we will provide you some tips on choosing the best mathematics project ideas college students. Whether you are a beginner, intermediate, or advanced student, we will cover 99+ innovative and interesting project ideas for 2023. We will draw parallels with Maths Project Ideas For College Students, showing how math intertwines with other sciences.

But that’s not all! To truly stand out, we’ll reveal the secret sauce – what makes math project ideas unique. Stay connected with us to explore maths project ideas.

What Is Mathematics?

Table of Contents

Mathematics is like a special language that helps us understand and solve problems related to numbers, shapes, and patterns. It is not just about adding and subtracting; it’s a way to explore and describe the world around us. Math is like a toolkit filled with tools like addition, multiplication, and division that we can use to solve everyday problems, from counting money to measuring how tall a tree is.

But math is more than just calculations. It is also about thinking logically and finding patterns in things. Imagine a puzzle where you have to combine different pieces to make a picture. Math is a bit like solving that puzzle but with numbers and ideas. So, when we ask, “What is mathematics?” we are really asking about the language of numbers and the way it helps us to understand and make sense of the world.

Why Learning Mathematics Is So Important For Students?

Here are some main reasons why mathematics is so important: 

1. Problem-Solving Skills

Learning mathematics helps students develop excellent problem-solving skills. When you solve math problems, you learn to think logically and find solutions, which is useful in daily life and future careers.

2. Critical Thinking

Math teaches critical thinking. It encourages students to analyze situations, make decisions based on evidence, and evaluate different options skills valuable in many areas of life.

3. Career Opportunities

Mathematics opens doors to various careers. Many jobs require math, from engineering to finance. Good math skills can lead to better job opportunities and higher salaries.

4. Everyday Life

Math is everywhere in our daily lives. We use it for budgeting, cooking, shopping, and more. Learning math helps us manage our finances, understand data, and make informed choices.

5. Global Competence

In a globalized world, math is a universal language. It allows people from different cultures to communicate and collaborate, making it crucial for international cooperation and understanding.

Tips For Choosing The Best Mathematics Project Ideas For College Students

Here are some tips for choosing the best mathematics project ideas for college students

1. Choose a topic According To Interest

This will make the project more enjoyable and engaging for you, and you will be more motivated to do your best work. For example, if you are interested in sports, you could do a project on the probability of winning a game or the statistics of your favorite athlete.

2. Consider Your Skills And Knowledge Level

Choose a job that will be difficult but attainable. If the project is too difficult, you may become discouraged and give up. If the project is too easy, you may not learn as much. For example, if you are new to calculus, choose a project that involves basic calculus concepts, such as finding the derivative of a function.

3. Ensure The Project Is Appropriate For Your Level

This will ensure that you have the necessary skills and knowledge to complete the project, and that the project will be relevant to your schoolwork. For example, if you are in middle school, choose a project that involves basic geometry concepts, such as finding the area of a triangle.

4. Think About The Resources That You Will Need

Do you have access to the necessary books, articles, and materials? If not, you may need to make arrangements to borrow or purchase the necessary resources. For example, if you are doing a project on the history of mathematics, you may need to access books and articles from a library or online database.

5. Discuss Your Project Ideas With Your Teacher

They can help you to refine your ideas and make sure that your project is feasible. They can also provide you with guidance and support throughout the project. For example, your teacher can suggest resources that you may not be aware of, or they may be able to help you to troubleshoot any problems that you encounter.

6. Be Realistic About The Amount Of Time And Effort

Don’t choose a project that is too ambitious. If the project is too large or complex, you may not be able to complete it on time. For example, if you are short on time, choose a smaller project, such as writing a report on a specific mathematical topic.

7. Be Creative And Have Fun

Math projects can be a great way to learn new things and express your creativity. Don’t be afraid to think outside the box and develop something unique and interesting. For example, you could create a mathematical model of a real-world phenomenon, or you could write a song or poem about mathematics.

Read More 

• Frontend Project Ideas
• Business Intelligence Projects For Beginners

99+ Innovative And Interesting Maths Project Ideas For College Students In 2023

Choosing the maths project ideas for college students is the most difficult task, therefore we had given the tips for choosing the best maths project

33+ Interesting Beginner-Level Maths Project Ideas For College Students In 2023

Here are some stunning beginner-level maths project ideas for college students in 2023: 

1. Exploring the Fibonacci Sequence and Its Applications.

2. Analyzing Patterns in Pascal’s Triangle.

3. Building a Basic Calculator Using Python.

4. Investigating Prime Numbers and Their Distribution.

5. Creating Fractal Art with the Mandelbrot Set.

6. Modeling Population Growth with Exponential Functions.

7. Simulating Coin Flips and Probability.

8. Understanding the Pythagorean Theorem Through Geometry.

9. Exploring Trigonometric Functions with a Unit Circle.

10. Solving Real-Life Problems with Linear Equations.

11. Studying the Properties of Polygons.

12. Analyzing Data Sets Using Descriptive Statistics.

13. Visualizing Data with Bar and Pie Charts.

14. Predicting Future Values with Linear Regression.

15. Designing a Budgeting Spreadsheet.

16. Exploring Cryptography and Encryption.

17. Simulating Random Walks and Brownian Motion.

18. Analyzing the Collatz Conjecture.

19. Creating Geometric Art with Turtle Graphics.

20. Building a Sudoku Solver .

21. Modeling the Spread of Infectious Diseases.

22. Exploring Chaos Theory with Logistic Maps.

23. Understanding Probability Distributions.

24. Analyzing the Monty Hall Problem.

25. Creating a Simple Game with Probability.

26. Studying the Golden Ratio in Art and Nature.

27. Analyzing Data with Box Plots.

28. Exploring Newton’s Laws of Motion with Simulations.

29. Modeling Projectile Motion in 2D.

30. Creating Interactive Math Quizzes.

31. Simulating a Simple Pendulum.

32. Analyzing Patterns in the Collatz Graph.

33. Exploring the Euler Totient Function.

34. Creating a Visual Representation of Pi.

33+ Interesting Intermediate-Level Maths Project Ideas For College Students In 2023

Here are some stunning intermediate-level maths project ideas for college students in 2023: 

35. Optimizing Travel Routes with Graph Theory.

36. Simulating Stock Price Movements with Brownian Motion.

37. Building a 3D Rendering Engine from Scratch.

38. Analyzing Chaotic Behavior in Dynamical Systems.

39. Creating a Machine Learning Model for Image Classification.

40. Exploring the Riemann Hypothesis and Prime Zeta Function.

41. Studying Cryptographic Algorithms and RSA Encryption.

42. Developing a Numerical Solver for Differential Equations.

43. Simulating Fluid Dynamics with Computational Methods.

44. Analyzing Network Topologies and Connectivity.

45. Implementing Fourier Transformations for Signal Processing.

46. Exploring Non-Euclidean Geometry and Hyperbolic Surfaces.

47. Building an Artificial Neural Network for Pattern Recognition.

48. Analyzing Game Theory and Nash Equilibria.

49. Studying Chaos and Fractals in Nonlinear Systems.

50. Creating a Genetic Algorithm for Optimization Problems.

51. Simulating Quantum Algorithms and Entanglement.

52. Investigating the Collatz Conjecture with Advanced Methods.

53. Building a Recommender System Using Collaborative Filtering.

54. Exploring Number Theory and Modular Arithmetic.

55. Analyzing Data with Principal Component Analysis (PCA).

56. Developing a Sudoku Solver with Advanced Techniques.

57. Simulating Quantum Tunneling in Nanotechnology.

58. Studying the Theory of Relativity and Space-time.

59. Implementing Kalman Filters for Sensor Fusion.

60. Exploring Cryptocurrency Blockchain Technology.

61. Analyzing Chaos in Double Pendulum Systems.

62. Building a Portfolio Optimization Tool for Finance.

63. Simulating Quantum Error Correction Codes.

64. Investigating Topological Data Analysis (TDA).

65. Developing a Machine Learning Recommender System for Movies.

66. Studying Advanced Topics in Number Theory.

67. Analyzing Deep Learning Models for Natural Language Processing.

68. Exploring Fractal Geometry in Computer Graphics.

33+ Stunning Advance-Level Maths Project Ideas For College Students In 2023

Here are some stunning advance-level maths project ideas for college students in 2023: 

69. Researching Topological Quantum Field Theory.

70. Developing Advanced Cryptanalysis Techniques.

71. Exploring the Riemann Hypothesis and Complex Analysis.

72. Studying Algebraic Geometry and Elliptic Curves.

73. Building a High-Performance Computational Cluster.

74. Analyzing the Navier-Stokes Equations for Fluid Dynamics.

75. Investigating Chaos in Nonlinear Dynamical Systems.

76. Creating Machine Learning Models for Predictive Analytics.

77. Simulating Quantum Entanglement and Bell Tests.

78. Researching Advanced Topics in String Theory.

79. Developing a Quantum Computer Simulator.

80. Studying Advanced Optimization Algorithms.

81. Analyzing Deep Reinforcement Learning for Robotics.

82. Exploring the Langlands Program in Number Theory.

83. Investigating Exotic Geometries in General Relativity.

84. Building a High-Frequency Trading Algorithm.

85. Researching Advanced Topics in Knot Theory.

86. Simulating Quantum Phase Transitions.

87. Studying Advanced Algorithms for Graph Theory.

88. Developing Quantum Cryptographic Protocols.

89. Analyzing Quantum Machine Learning Models.

90.Investigating Advanced Topics in Algebraic Topology.

91. Exploring the Hodge Conjecture in Algebraic Geometry.

92. Building a Quantum Error-Correcting Code.

93. Researching Advanced Number Theoretic Functions.

94. Simulating Quantum Computing Algorithms on Quantum Hardware.

95. Studying Advanced Topics in Algebraic Number Theory.

96. Analyzing Complexity Theory and P vs. NP.

97. Developing Advanced Deep Learning Architectures.

98. Investigating Advanced Topics in Differential Geometry.

99. Exploring Topological Insulators and Quantum Computing.

100. Building a Quantum Key Distribution System.

101. Researching Advanced Topics in Algebraic Coding Theory.

102. Implementing Quantum Computing Algorithms and Simulations.

Things That Must Be Added To Math Project Ideas To Make Them Unique

These are few things that must be kept in mind to makes your maths project ideas for college students:

1. Real-World Application

Make your math project unique by applying math to solve practical problems, like optimizing daily tasks or planning efficient trips.

2. Interdisciplinary Connection

Combine math with other subjects, such as art, science, or history, to create a more intriguing and multifaceted project.

3. Hands-On Experiments

Include experiments or demonstrations to visually showcase math concepts, making your project interactive and memorable.

4. Digital Visualization

Use technology to create visual representations and simulations, making complex math ideas easier to understand and modernizing your project.

5. Social Impact

Show how your math project addresses societal issues or contributes to positive change, emphasizing the real-world importance of math.

Mathematics is essential for college students. It helps improve problem-solving abilities and offers career opportunities. We’ve shared tips for picking the right math project and provided 99+ project ideas for 2023, catering to all skill levels: beginners, intermediates, and advanced students. We’ve stressed the importance of making these projects unique by integrating real-world applications and even drawing inspiration from physics project ideas.

So, dive into the world of math, select an exciting project, and explore its beauty. Math is for everyone, and with these ideas, you can make your learning journey both fun and rewarding. Happy math adventures!

Frequently Asked Questions 

Q1. list some maths project ideas for exhibition..

• Math Magic Show
• Monopoly: The Math Board Game
• Cooking with Math
• Math in Daily Life
• Artistic Math Patterns

Q2. How To Make 3d Shapes For Rhombas Maths Project?

• Get paper, scissors, glue, ruler, and pencil.
• Cut out 4 rhombuses of the same size.
• Fold each rhombus in half lengthwise.
• Glue the two halves of each rhombus together to make a pyramid.
• Glue the 4 pyramids together to make the 3D rhombus.

Q3. Mention 5 Maths project ideas for engineering students?

• Mathematical Modeling of Traffic Flow
• Optimization of Solar Panel Placement
• Data Analysis for Predictive Maintenance in Manufacturing
• Game Theory Applications in Economics
• Cryptographic Algorithms and Cybersecurity

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Research Topics & Ideas: Education

170+ Research Ideas To Fast-Track Your Project

If you’re just starting out exploring education-related topics for your dissertation, thesis or research project, you’ve come to the right place. In this post, we’ll help kickstart your research topic ideation process by providing a hearty list of research topics and ideas , including examples from actual dissertations and theses..

PS – This is just the start…

We know it’s exciting to run through a list of research topics, but please keep in mind that this list is just a starting point . To develop a suitable education-related research topic, you’ll need to identify a clear and convincing research gap , and a viable plan of action to fill that gap.

If this sounds foreign to you, check out our free research topic webinar that explores how to find and refine a high-quality research topic, from scratch. Alternatively, if you’d like hands-on help, consider our 1-on-1 coaching service .

Overview: Education Research Topics

• How to find a research topic (video)
• List of 50+ education-related research topics/ideas
• List of 120+ level-specific research topics 
• Examples of actual dissertation topics in education
• Tips to fast-track your topic ideation (video)
• Free Webinar : Topic Ideation 101
• Where to get extra help

Education-Related Research Topics & Ideas

Below you’ll find a list of education-related research topics and idea kickstarters. These are fairly broad and flexible to various contexts, so keep in mind that you will need to refine them a little. Nevertheless, they should inspire some ideas for your project.

• The impact of school funding on student achievement
• The effects of social and emotional learning on student well-being
• The effects of parental involvement on student behaviour
• The impact of teacher training on student learning
• The impact of classroom design on student learning
• The impact of poverty on education
• The use of student data to inform instruction
• The role of parental involvement in education
• The effects of mindfulness practices in the classroom
• The use of technology in the classroom
• The role of critical thinking in education
• The use of formative and summative assessments in the classroom
• The use of differentiated instruction in the classroom
• The use of gamification in education
• The effects of teacher burnout on student learning
• The impact of school leadership on student achievement
• The effects of teacher diversity on student outcomes
• The role of teacher collaboration in improving student outcomes
• The implementation of blended and online learning
• The effects of teacher accountability on student achievement
• The effects of standardized testing on student learning
• The effects of classroom management on student behaviour
• The effects of school culture on student achievement
• The use of student-centred learning in the classroom
• The impact of teacher-student relationships on student outcomes
• The achievement gap in minority and low-income students
• The use of culturally responsive teaching in the classroom
• The impact of teacher professional development on student learning
• The use of project-based learning in the classroom
• The effects of teacher expectations on student achievement
• The use of adaptive learning technology in the classroom
• The impact of teacher turnover on student learning
• The effects of teacher recruitment and retention on student learning
• The impact of early childhood education on later academic success
• The impact of parental involvement on student engagement
• The use of positive reinforcement in education
• The impact of school climate on student engagement
• The role of STEM education in preparing students for the workforce
• The effects of school choice on student achievement
• The use of technology in the form of online tutoring

Level-Specific Research Topics

Looking for research topics for a specific level of education? We’ve got you covered. Below you can find research topic ideas for primary, secondary and tertiary-level education contexts. Click the relevant level to view the respective list.

Research Topics: Pick An Education Level

Primary education.

• Investigating the effects of peer tutoring on academic achievement in primary school
• Exploring the benefits of mindfulness practices in primary school classrooms
• Examining the effects of different teaching strategies on primary school students’ problem-solving skills
• The use of storytelling as a teaching strategy in primary school literacy instruction
• The role of cultural diversity in promoting tolerance and understanding in primary schools
• The impact of character education programs on moral development in primary school students
• Investigating the use of technology in enhancing primary school mathematics education
• The impact of inclusive curriculum on promoting equity and diversity in primary schools
• The impact of outdoor education programs on environmental awareness in primary school students
• The influence of school climate on student motivation and engagement in primary schools
• Investigating the effects of early literacy interventions on reading comprehension in primary school students
• The impact of parental involvement in school decision-making processes on student achievement in primary schools
• Exploring the benefits of inclusive education for students with special needs in primary schools
• Investigating the effects of teacher-student feedback on academic motivation in primary schools
• The role of technology in developing digital literacy skills in primary school students
• Effective strategies for fostering a growth mindset in primary school students
• Investigating the role of parental support in reducing academic stress in primary school children
• The role of arts education in fostering creativity and self-expression in primary school students
• Examining the effects of early childhood education programs on primary school readiness
• Examining the effects of homework on primary school students’ academic performance
• The role of formative assessment in improving learning outcomes in primary school classrooms
• The impact of teacher-student relationships on academic outcomes in primary school
• Investigating the effects of classroom environment on student behavior and learning outcomes in primary schools
• Investigating the role of creativity and imagination in primary school curriculum
• The impact of nutrition and healthy eating programs on academic performance in primary schools
• The impact of social-emotional learning programs on primary school students’ well-being and academic performance
• The role of parental involvement in academic achievement of primary school children
• Examining the effects of classroom management strategies on student behavior in primary school
• The role of school leadership in creating a positive school climate Exploring the benefits of bilingual education in primary schools
• The effectiveness of project-based learning in developing critical thinking skills in primary school students
• The role of inquiry-based learning in fostering curiosity and critical thinking in primary school students
• The effects of class size on student engagement and achievement in primary schools
• Investigating the effects of recess and physical activity breaks on attention and learning in primary school
• Exploring the benefits of outdoor play in developing gross motor skills in primary school children
• The effects of educational field trips on knowledge retention in primary school students
• Examining the effects of inclusive classroom practices on students’ attitudes towards diversity in primary schools
• The impact of parental involvement in homework on primary school students’ academic achievement
• Investigating the effectiveness of different assessment methods in primary school classrooms
• The influence of physical activity and exercise on cognitive development in primary school children
• Exploring the benefits of cooperative learning in promoting social skills in primary school students

Secondary Education

• Investigating the effects of school discipline policies on student behavior and academic success in secondary education
• The role of social media in enhancing communication and collaboration among secondary school students
• The impact of school leadership on teacher effectiveness and student outcomes in secondary schools
• Investigating the effects of technology integration on teaching and learning in secondary education
• Exploring the benefits of interdisciplinary instruction in promoting critical thinking skills in secondary schools
• The impact of arts education on creativity and self-expression in secondary school students
• The effectiveness of flipped classrooms in promoting student learning in secondary education
• The role of career guidance programs in preparing secondary school students for future employment
• Investigating the effects of student-centered learning approaches on student autonomy and academic success in secondary schools
• The impact of socio-economic factors on educational attainment in secondary education
• Investigating the impact of project-based learning on student engagement and academic achievement in secondary schools
• Investigating the effects of multicultural education on cultural understanding and tolerance in secondary schools
• The influence of standardized testing on teaching practices and student learning in secondary education
• Investigating the effects of classroom management strategies on student behavior and academic engagement in secondary education
• The influence of teacher professional development on instructional practices and student outcomes in secondary schools
• The role of extracurricular activities in promoting holistic development and well-roundedness in secondary school students
• Investigating the effects of blended learning models on student engagement and achievement in secondary education
• The role of physical education in promoting physical health and well-being among secondary school students
• Investigating the effects of gender on academic achievement and career aspirations in secondary education
• Exploring the benefits of multicultural literature in promoting cultural awareness and empathy among secondary school students
• The impact of school counseling services on student mental health and well-being in secondary schools
• Exploring the benefits of vocational education and training in preparing secondary school students for the workforce
• The role of digital literacy in preparing secondary school students for the digital age
• The influence of parental involvement on academic success and well-being of secondary school students
• The impact of social-emotional learning programs on secondary school students’ well-being and academic success
• The role of character education in fostering ethical and responsible behavior in secondary school students
• Examining the effects of digital citizenship education on responsible and ethical technology use among secondary school students
• The impact of parental involvement in school decision-making processes on student outcomes in secondary schools
• The role of educational technology in promoting personalized learning experiences in secondary schools
• The impact of inclusive education on the social and academic outcomes of students with disabilities in secondary schools
• The influence of parental support on academic motivation and achievement in secondary education
• The role of school climate in promoting positive behavior and well-being among secondary school students
• Examining the effects of peer mentoring programs on academic achievement and social-emotional development in secondary schools
• Examining the effects of teacher-student relationships on student motivation and achievement in secondary schools
• Exploring the benefits of service-learning programs in promoting civic engagement among secondary school students
• The impact of educational policies on educational equity and access in secondary education
• Examining the effects of homework on academic achievement and student well-being in secondary education
• Investigating the effects of different assessment methods on student performance in secondary schools
• Examining the effects of single-sex education on academic performance and gender stereotypes in secondary schools
• The role of mentoring programs in supporting the transition from secondary to post-secondary education

Tertiary Education

• The role of student support services in promoting academic success and well-being in higher education
• The impact of internationalization initiatives on students’ intercultural competence and global perspectives in tertiary education
• Investigating the effects of active learning classrooms and learning spaces on student engagement and learning outcomes in tertiary education
• Exploring the benefits of service-learning experiences in fostering civic engagement and social responsibility in higher education
• The influence of learning communities and collaborative learning environments on student academic and social integration in higher education
• Exploring the benefits of undergraduate research experiences in fostering critical thinking and scientific inquiry skills
• Investigating the effects of academic advising and mentoring on student retention and degree completion in higher education
• The role of student engagement and involvement in co-curricular activities on holistic student development in higher education
• The impact of multicultural education on fostering cultural competence and diversity appreciation in higher education
• The role of internships and work-integrated learning experiences in enhancing students’ employability and career outcomes
• Examining the effects of assessment and feedback practices on student learning and academic achievement in tertiary education
• The influence of faculty professional development on instructional practices and student outcomes in tertiary education
• The influence of faculty-student relationships on student success and well-being in tertiary education
• The impact of college transition programs on students’ academic and social adjustment to higher education
• The impact of online learning platforms on student learning outcomes in higher education
• The impact of financial aid and scholarships on access and persistence in higher education
• The influence of student leadership and involvement in extracurricular activities on personal development and campus engagement
• Exploring the benefits of competency-based education in developing job-specific skills in tertiary students
• Examining the effects of flipped classroom models on student learning and retention in higher education
• Exploring the benefits of online collaboration and virtual team projects in developing teamwork skills in tertiary students
• Investigating the effects of diversity and inclusion initiatives on campus climate and student experiences in tertiary education
• The influence of study abroad programs on intercultural competence and global perspectives of college students
• Investigating the effects of peer mentoring and tutoring programs on student retention and academic performance in tertiary education
• Investigating the effectiveness of active learning strategies in promoting student engagement and achievement in tertiary education
• Investigating the effects of blended learning models and hybrid courses on student learning and satisfaction in higher education
• The role of digital literacy and information literacy skills in supporting student success in the digital age
• Investigating the effects of experiential learning opportunities on career readiness and employability of college students
• The impact of e-portfolios on student reflection, self-assessment, and showcasing of learning in higher education
• The role of technology in enhancing collaborative learning experiences in tertiary classrooms
• The impact of research opportunities on undergraduate student engagement and pursuit of advanced degrees
• Examining the effects of competency-based assessment on measuring student learning and achievement in tertiary education
• Examining the effects of interdisciplinary programs and courses on critical thinking and problem-solving skills in college students
• The role of inclusive education and accessibility in promoting equitable learning experiences for diverse student populations
• The role of career counseling and guidance in supporting students’ career decision-making in tertiary education
• The influence of faculty diversity and representation on student success and inclusive learning environments in higher education

Education-Related Dissertations & Theses

While the ideas we’ve presented above are a decent starting point for finding a research topic in education, they are fairly generic and non-specific. So, it helps to look at actual dissertations and theses in the education space to see how this all comes together in practice.

Below, we’ve included a selection of education-related research projects to help refine your thinking. These are actual dissertations and theses, written as part of Master’s and PhD-level programs, so they can provide some useful insight as to what a research topic looks like in practice.

• From Rural to Urban: Education Conditions of Migrant Children in China (Wang, 2019)
• Energy Renovation While Learning English: A Guidebook for Elementary ESL Teachers (Yang, 2019)
• A Reanalyses of Intercorrelational Matrices of Visual and Verbal Learners’ Abilities, Cognitive Styles, and Learning Preferences (Fox, 2020)
• A study of the elementary math program utilized by a mid-Missouri school district (Barabas, 2020)
• Instructor formative assessment practices in virtual learning environments : a posthumanist sociomaterial perspective (Burcks, 2019)
• Higher education students services: a qualitative study of two mid-size universities’ direct exchange programs (Kinde, 2020)
• Exploring editorial leadership : a qualitative study of scholastic journalism advisers teaching leadership in Missouri secondary schools (Lewis, 2020)
• Selling the virtual university: a multimodal discourse analysis of marketing for online learning (Ludwig, 2020)
• Advocacy and accountability in school counselling: assessing the use of data as related to professional self-efficacy (Matthews, 2020)
• The use of an application screening assessment as a predictor of teaching retention at a midwestern, K-12, public school district (Scarbrough, 2020)
• Core values driving sustained elite performance cultures (Beiner, 2020)
• Educative features of upper elementary Eureka math curriculum (Dwiggins, 2020)
• How female principals nurture adult learning opportunities in successful high schools with challenging student demographics (Woodward, 2020)
• The disproportionality of Black Males in Special Education: A Case Study Analysis of Educator Perceptions in a Southeastern Urban High School (McCrae, 2021)

As you can see, these research topics are a lot more focused than the generic topic ideas we presented earlier. So, in order for you to develop a high-quality research topic, you’ll need to get specific and laser-focused on a specific context with specific variables of interest.  In the video below, we explore some other important things you’ll need to consider when crafting your research topic.

Get 1-On-1 Help

If you’re still unsure about how to find a quality research topic within education, check out our Research Topic Kickstarter service, which is the perfect starting point for developing a unique, well-justified research topic.

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66 Comments

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Research title related to school of students

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parental involvement and students academic performance

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Kindly help me with the research questions on the topic” Effects of workplace conflict on the employees’ job performance”. The effects can be applicable in every institution,enterprise or organisation.

Greetings, I am a student majoring in Sociology and minoring in Public Administration. I’m considering any recommended research topic in the field of Sociology.

I’m a student pursuing Mphil in Basic education and I’m considering any recommended research proposal topic in my field of study

Research Defense for students in senior high

Kindly help me with a research topic in educational psychology. Ph.D level. Thank you.

Project-based learning is a teaching/learning type,if well applied in a classroom setting will yield serious positive impact. What can a teacher do to implement this in a disadvantaged zone like “North West Region of Cameroon ( hinterland) where war has brought about prolonged and untold sufferings on the indegins?

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Look at British Library as they keep a copy of all PhDs in the UK Core.ac.uk to access Open University and 6 other university e-archives, pdf downloads mostly available, all free.

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Am a PhD student in Educational Foundations would like a sociological topic. Thank

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Greetings and Regards I am a doctoral student in the field of philosophy of education. I am looking for a new topic for my thesis. Because of my work in the elementary school, I am looking for a topic that is from the field of elementary education and is related to the philosophy of education.

Masters student in the field of curriculum, any ideas of a research topic on low achiever students

In the field of curriculum any ideas of a research topic on deconalization in contextualization of digital teaching and learning through in higher education

Amazing guidelines

I am a graduate with two masters. 1) Master of arts in religious studies and 2) Master in education in foundations of education. I intend to do a Ph.D. on my second master’s, however, I need to bring both masters together through my Ph.D. research. can I do something like, ” The contribution of Philosophy of education for a quality religion education in Kenya”? kindly, assist and be free to suggest a similar topic that will bring together the two masters. thanks in advance

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• Course Catalog
• MATH E-599 Teaching Projects Capstone Course: Past Capstones and Examples
• Sample Titles - Group 1
• Sample Titles - Group 2
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Instructor: Andrew Engelward, PhD

• Flipped Mathematics Classrooms
• An Inquiry into Inquiry-Based Learning in the Mathematics Classroom
• Math Anxiety
• Math Education in High School
• Mindset Matters in Mathematics: What Teachers can do About It
• Tracking in Mathematics
• Best Teaching Practices and Strategies for Gifted Math Students
• Embracing the 'Um' in 'Rehumanize': Identifying and Dismantling Implicit Power Structures to Rehumanize the Math Classroom  
• Leveling the Playing Field 
• The Use of Discourse in a Mathematics Classroom 

Instructor: Carolyn Gardner-Thomas, PhD

• Cooperative Learning in Math
• Creating Effective Online Math Assessment: A Review of Assessments Creation and Implementation
• Implications of Time-Based Assessment in Math
• Social Justice in Mathematics
• Using History of Mathematics in Mathematics Education
• Blending Humor Ingredients to Math Classroom Cookbook
• Block Schedules and Remote Teaching of Math
• Engaging Students Use of discovery-Based Learning to Build Mathematical Skills, Confidence, and Problem-Solving Creativity
• Examining the Efficacy of Educational Strategies in Mathematics
• Improving Student Communication of Mathematical Understanding
• Including Math History to Support Student Engagement in Learning Math
• Mathematics Learning for Students with Chinese Educational Values in America, Problems and Potential Solutions
• Preparation of Special Education Teachers in Mathematics
• Reading Comprehension Strategies in the Secondary Mathematics Classroom
• Rigor in the Math Classroom
• Secondary Mathematics Education Reform: Providing Multiple Paths through Secondary Mathematics
• Strengths and Weaknesses of Oral Assessment in Math
• The Use of Lesson Openers to Engage Students in a Mathematics Classroom
• Using Calculators to Develop Critical Thinking Skills
• Virtual Math Classrooms Versus Traditional Math Classrooms
• Math Proficiency in the US: Serving our Underserved Students
• Postsecondary Developmental Mathematics Education
• Rewarding Students for Achievements in the Math Classroom
• The Science of Teaching: Instructional Design Implications of Cognitive Load Theory
• Homework for Math
• Serving Students with Disabilities in the Mathematics Classroom using a Co-Teach Model
• Why Not STEM? Small Fallacies Impacting Big Decisions
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Mathematics Education Final Year Project Research Topics

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Setting Up High-Impact Tasks in Elementary School Math Centers

Allowing students to select math centers based on interest instead of skill level provides opportunities for them all to grow.

In our work as math coaches and consultants, we are often asked to help teachers structure small group practice time. Teachers who are required to implement “what I need” (WIN) groups or small group math time have questions about how to put it into practice so that the wide range of students’ needs are being met. We invite you to consider how prioritizing equity-based principles and providing high-impact tasks can offer a path to differentiating instruction, deepening skills and concepts, and strengthening problem-solving. 

differentiation in math centers

Elementary teachers are often encouraged to use math workshop (also called math center time or math rotations) to differentiate. In this model, teachers create structures for small groups of students to move from one task to another in timed rotations to complete activities that the teacher has assigned and prepared for them. In this model, there is almost always a “teacher table,” where the teacher works closely with small groups of students on “what they need.” 

This model can send unintended messages to students about what it means to be a successful, competent learner of mathematics. It can result in a math classroom that is hierarchical and leveled rather than one that supports students with multi-abilities. Students may begin at early ages to feel the impact of being identified and tracked . So what is the alternative?

designing better Tasks for math centers

Math centers offer ideal opportunities to go deep with the mathematics . The choice of tasks and the ways that teachers interact with students during the workshop impact essential equity standards. We prioritize activities or games with a low floor and high ceiling and that have a high cognitive demand with multiple solution strategies. These games and activities encourage students to make conjectures, to reason through multiple solutions, and to practice important mathematical and problem-solving skills . 

One example we often begin with is counting collections . The task focuses on significant mathematics, and yet the directions are uncomplicated. Students choose a collection of items and then figure out how many items are in the collection . The complexity and rigor come from students having to figure out how to count and then how to represent their count. Students develop essential skills such as counting, sorting, grouping, and problem-solving.  

Role of the teacher: Instead of having a teacher be stationary at a table where they supervise and lead students through a task, they move around the classroom listening to the students as they engage in the activities. They press on ideas, nudge and notice how students respond and interact. They ask probing questions to help surface mathematical ideas, and they take notes on what they observe and how students respond. Then they use their observations to assess student understanding and inform planning.

Teachers can still gather a small group of students together to bring forward some aspect of their work. In the example of counting collections, we sometimes bring together students to practice ideas related to one-to-one correspondence or extend skills related to number sense.

Grouping Students for centers

We plan tasks for math centers that allow us to leverage multiple competencies among learners and challenge spaces of marginality. In small groups or partnerships, students with different strengths learn with and from each other as they collaborate on activities. We see the variation in student abilities within a group as benefiting all group members, as it allows for greater richness of ideas and knowledge mobility . Students with varying skills and solution strategies work side-by-side using each other as equal thought partners who are able to engage in the mathematics as sense-makers. 

Many math games, like the classic “compare” games , offer the kind of richness that makes them well-suited as tasks that leverage the multiple competencies of our students during math workshop. For instance, when they play “multiplication compare,” the game directions are routine: Draw the number of cards needed, figure out the product, and compare it to the product of your partner’s hand. We use sentence starters to support partner talk for all learners and develop protocols for partner decision-making .

The success of multi-ability groups depends on how the teacher establishes an equitable math learning community and how that community is nurtured and maintained throughout the year. We pair students randomly in order to disrupt any narrative that only certain kinds of learners are capable of engaging in deep mathematics. Random groupings position all learners as competent and capable.

Role of the teacher: Following a class period of math rotations, we debrief with our students , not only about the mathematical content they have been engaged in, but also about aspects of their group work and interactions. We help students acknowledge and describe how a partner’s solution offered something new and productive to consider.  

Affirming Learners’ Math Identities

Because we see math centers as opportunities to position all students as competent, we prioritize student agency and expand access for all . We select games and activities that support students’ independence, interdependence, and decision-making. Choice is an essential part of the math workshop we are advocating for. When we reposition our students as competent independent learners and give them opportunities to make mathematical decisions, students will rise to the challenge in ways that surprise and excite their teachers as they develop more positive identities as math learners.

Role of the teacher: As we interact with students during math workshop, we press on important mathematical ideas and help shape how students view mathematics and how they view their relationship to mathematics. For example, during “counting collections,” we might say, “You have shown one way to count this quantity. Is there another way you and your partner could count this collection and represent it so that other people would know easily how many items there are? Mathematicians often make several attempts at representing their ideas in order to communicate them clearly to others. See what you might come up with for a second attempt.”

Or, after observing students at a table playing “multiplication compare,” we might say, “I noticed that your group had a few ways of figuring out who had the greater product. When we meet at the end of workshop time, it would be helpful for your classmates to hear your ideas. Why don’t you talk together now about how you might present your ideas to the whole group?”

What’s Next?

We believe it’s time to reconsider some of the assumptions and expectations that educators typically bring to the design and implementation of math workshop time. We suggest prioritizing the development of positive math identities for all students by providing opportunities for access, agency, collaboration, and independence by giving them choice and voice.

We have found that when we rethink the role of the teacher, the kinds of mathematically rich tasks we offer, and the way in which we group students, math workshop can become integral to the creation of equitable math classrooms and be a place for students to develop strong habits of mind alongside math competencies.

Home > College of Natural Sciences > Mathematics > Mathematics Theses, Projects, and Dissertations

Mathematics Theses, Projects, and Dissertations

Theses/projects/dissertations from 2024 2024.

On Cheeger Constants of Knots , Robert Lattimer

Information Based Approach for Detecting Change Points in Inverse Gaussian Model with Applications , Alexis Anne Wallace

Theses/Projects/Dissertations from 2023 2023

DNA SELF-ASSEMBLY OF TRAPEZOHEDRAL GRAPHS , Hytham Abdelkarim

An Exposition of the Curvature of Warped Product Manifolds , Angelina Bisson

Jackknife Empirical Likelihood Tests for Equality of Generalized Lorenz Curves , Anton Butenko

MATHEMATICS BEHIND MACHINE LEARNING , Rim Hammoud

Statistical Analysis of Health Habits for Incoming College Students , Wendy Isamara Lizarraga Noriega

Reverse Mathematics of Ramsey's Theorem , Nikolay Maslov

Distance Correlation Based Feature Selection in Random Forest , Jose Munoz-Lopez

Constructing Hyperbolic Polygons in the Poincaré Disk , Akram Zakaria Samweil

KNOT EQUIVALENCE , Jacob Trubey

Theses/Projects/Dissertations from 2022 2022

SYMMETRIC GENERATIONS AND AN ALGORITHM TO PROVE RELATIONS , Diddier Andrade

The Examination of the Arithmetic Surface (3, 5) Over Q , Rachel J. Arguelles

Error Terms for the Trapezoid, Midpoint, and Simpson's Rules , Jessica E. Coen

de Rham Cohomology, Homotopy Invariance and the Mayer-Vietoris Sequence , Stacey Elizabeth Cox

Symmetric Generation , Ana Gonzalez

SYMMETRIC PRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Samar Mikhail Kasouha

Simple Groups and Related Topics , Simrandeep Kaur

Homomorphic Images and Related Topics , Alejandro Martinez

LATTICE REDUCTION ALGORITHMS , Juan Ortega

THE DECOMPOSITION OF THE SPACE OF ALGEBRAIC CURVATURE TENSORS , Katelyn Sage Risinger

Verifying Sudoku Puzzles , Chelsea Schweer

AN EXPOSITION OF ELLIPTIC CURVE CRYPTOGRAPHY , Travis Severns

Theses/Projects/Dissertations from 2021 2021

Non-Abelian Finite Simple Groups as Homomorphic Images , Sandra Bahena

Matroids Determinable by Two Partial Representations , Aurora Calderon Dojaquez

SYMMETRIC REPRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Connie Corona

Symmetric Presentation of Finite Groups, and Related Topics , Marina Michelle Duchesne

MEASURE AND INTEGRATION , JeongHwan Lee

A Study in Applications of Continued Fractions , Karen Lynn Parrish

Partial Representations for Ternary Matroids , Ebony Perez

Theses/Projects/Dissertations from 2020 2020

Sum of Cubes of the First n Integers , Obiamaka L. Agu

Permutation and Monomial Progenitors , Crystal Diaz

Tile Based Self-Assembly of the Rook's Graph , Ernesto Gonzalez

Research In Short Term Actuarial Modeling , Elijah Howells

Hyperbolic Triangle Groups , Sergey Katykhin

Exploring Matroid Minors , Jonathan Lara Tejeda

DNA COMPLEXES OF ONE BOND-EDGE TYPE , Andrew Tyler Lavengood-Ryan

Modeling the Spread of Measles , Alexandria Le Beau

Symmetric Presentations and Related Topics , Mayra McGrath

Minimal Surfaces and The Weierstrass-Enneper Representation , Evan Snyder

ASSESSING STUDENT UNDERSTANDING WHILE SOLVING LINEAR EQUATIONS USING FLOWCHARTS AND ALGEBRAIC METHODS , Edima Umanah

Excluded minors for nearly-paving matroids , Vanessa Natalie Vega

Theses/Projects/Dissertations from 2019 2019

Fuchsian Groups , Bob Anaya

Tribonacci Convolution Triangle , Rosa Davila

VANISHING LOCAL SCALAR INVARIANTS ON GENERALIZED PLANE WAVE MANIFOLDS , Brian Matthew Friday

Analogues Between Leibniz's Harmonic Triangle and Pascal's Arithmetic Triangle , Lacey Taylor James

Geodesics on Generalized Plane Wave Manifolds , Moises Pena

Algebraic Methods for Proving Geometric Theorems , Lynn Redman

Pascal's Triangle, Pascal's Pyramid, and the Trinomial Triangle , Antonio Saucedo Jr.

THE EFFECTIVENESS OF DYNAMIC MATHEMATICAL SOFTWARE IN THE INSTRUCTION OF THE UNIT CIRCLE , Edward Simons

CALCULUS REMEDIATION AS AN INDICATOR FOR SUCCESS ON THE CALCULUS AP EXAM , Ty Stockham

Theses/Projects/Dissertations from 2018 2018

PROGENITORS, SYMMETRIC PRESENTATIONS AND CONSTRUCTIONS , Diana Aguirre

Monomial Progenitors and Related Topics , Madai Obaid Alnominy

Progenitors Involving Simple Groups , Nicholas R. Andujo

Simple Groups, Progenitors, and Related Topics , Angelica Baccari

Exploring Flag Matroids and Duality , Zachary Garcia

Images of Permutation and Monomial Progenitors , Shirley Marina Juan

MODERN CRYPTOGRAPHY , Samuel Lopez

Progenitors, Symmetric Presentations, and Related Topics , Joana Viridiana Luna

Symmetric Presentations, Representations, and Related Topics , Adam Manriquez

Toroidal Embeddings and Desingularization , LEON NGUYEN

THE STRUGGLE WITH INVERSE FUNCTIONS DOING AND UNDOING PROCESS , Jesus Nolasco

Tutte-Equivalent Matroids , Maria Margarita Rocha

Symmetric Presentations and Double Coset Enumeration , Charles Seager

MANUAL SYMMETRIC GENERATION , Joel Webster

Theses/Projects/Dissertations from 2017 2017

Investigation of Finite Groups Through Progenitors , Charles Baccari

CONSTRUCTION OF HOMOMORPHIC IMAGES , Erica Fernandez

Making Models with Bayes , Pilar Olid

An Introduction to Lie Algebra , Amanda Renee Talley

SIMPLE AND SEMI-SIMPLE ARTINIAN RINGS , Ulyses Velasco

CONSTRUCTION OF FINITE GROUP , Michelle SoYeong Yeo

Theses/Projects/Dissertations from 2016 2016

Upset Paths and 2-Majority Tournaments , Rana Ali Alshaikh

Regular Round Matroids , Svetlana Borissova

GEODESICS IN LORENTZIAN MANIFOLDS , Amir A. Botros

REALIZING TOURNAMENTS AS MODELS FOR K-MAJORITY VOTING , Gina Marie Cheney

Solving Absolute Value Equations and Inequalities on a Number Line , Melinda A. Curtis

BIO-MATHEMATICS: INTRODUCTION TO THE MATHEMATICAL MODEL OF THE HEPATITIS C VIRUS , Lucille J. Durfee

ANALYSIS AND SYNTHESIS OF THE LITERATURE REGARDING ACTIVE AND DIRECT INSTRUCTION AND THEIR PROMOTION OF FLEXIBLE THINKING IN MATHEMATICS , Genelle Elizabeth Gonzalez

LIFE EXPECTANCY , Ali R. Hassanzadah

PLANAR GRAPHS, BIPLANAR GRAPHS AND GRAPH THICKNESS , Sean M. Hearon

A Dual Fano, and Dual Non-Fano Matroidal Network , Stephen Lee Johnson

Mathematical Reasoning and the Inductive Process: An Examination of The Law of Quadratic Reciprocity , Nitish Mittal

The Kauffman Bracket and Genus of Alternating Links , Bryan M. Nguyen

Probabilistic Methods In Information Theory , Erik W. Pachas

THINKING POKER THROUGH GAME THEORY , Damian Palafox

Indicators of Future Mathematics Proficiency: Literature Review & Synthesis , Claudia Preciado

Ádám's Conjecture and Arc Reversal Problems , Claudio D. Salas

AN INTRODUCTION TO BOOLEAN ALGEBRAS , Amy Schardijn

The Evolution of Cryptology , Gwendolyn Rae Souza

Theses/Projects/Dissertations from 2015 2015

SYMMETRIC PRESENTATIONS AND RELATED TOPICS , Mashael U. Alharbi

Homomorphic Images And Related Topics , Kevin J. Baccari

Geometric Constructions from an Algebraic Perspective , Betzabe Bojorquez

Discovering and Applying Geometric Transformations: Transformations to Show Congruence and Similarity , Tamara V. Bonn

Symmetric Presentations and Generation , Dustin J. Grindstaff

HILBERT SPACES AND FOURIER SERIES , Terri Joan Harris Mrs.

SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS , Leonard B. Lamp

Simple Groups and Related Topics , Manal Abdulkarim Marouf Ms.

Elliptic Curves , Trinity Mecklenburg

A Fundamental Unit of O_K , Susana L. Munoz

CONSTRUCTIONS AND ISOMORPHISM TYPES OF IMAGES , Jessica Luna Ramirez

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Top 10 Challenges to Teaching Math and Science Using Real Problems

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Nine in ten educators believe that using a problem-solving approach to teaching math and science can be motivating for students, according to an EdWeek Research Center survey.

But that doesn’t mean it’s easy.

Teachers perceive lack of time as a big hurdle. In fact, a third of educators—35 percent—worry that teaching math or science through real-world problems—rather than focusing on procedures—eats up too many precious instructional minutes.

Other challenges: About another third of educators said they weren’t given sufficient professional development in how to teach using a real-world problem-solving approach. Nearly a third say reading and writing take priority over STEM, leaving little bandwidth for this kind of instruction. About a quarter say that it’s tough to find instructional materials that embrace a problem-solving perspective.

Nearly one in five cited teachers’ lack of confidence in their own problem solving, the belief that this approach isn’t compatible with standardized tests, low parent support, and the belief that student behavior is so poor that this approach would not be feasible.

The nationally representative survey included 1,183 district leaders, school leaders, and teachers, and was conducted from March 27 to April 14. (Note: The chart below lists 11 challenges because the last two on the list—dealing with teacher preparation and student behavior—received the exact percentage of responses.)

Trying to incorporate a problem-solving approach to tackling math can require rethinking long-held beliefs about how students learn, said Elham Kazemi, a professor in the teacher education program at the University of Washington.

Most teachers were taught math using a procedural perspective when they were in school. While Kazemi believes that approach has merit, she advocates for exposing students to both types of instruction.

Many educators have “grown up around a particular model of thinking of teaching and learning as the teacher in the front of the room, imparting knowledge, showing kids how to do things,” Kazemi said.

To be sure, some teachers have figured out how to incorporate some real-world problem solving alongside more traditional methods. But it can be tough for their colleagues to learn from them because “teachers don’t have a lot of time to collaborate with one another and see each other teach,” Kazemi said.

What’s more, there are limited instructional materials emphasizing problem solving, Kazemi said.

Though that’s changing, many of the resources available have “reinforced the idea that the teacher demonstrates solutions for kids,” Kazemi said.

Molly Daley, a regional math coordinator for Education Service District 112, which serves about 30 districts near Vancouver, Wash., has heard teachers raise concerns that teaching math from a problem-solving perspective takes too long—particularly given the pressure to get through all the material students will need to perform well on state tests.

Daley believes, however, that being taught to think about math in a deeper way will help students tackle math questions on state assessments that may look different from what they’ve seen before.

“It’s myth that it’s possible to cover everything that will be on the test,” as it will appear, she said. “There’s actually no way to make sure that kids have seen every single possible thing the way it will show up. That’s kind of a losing proposition.”

But rushing through the material in a purely procedural way may actually be counterproductive, she said.

Teachers don’t want kids to “sit down at the test and say, ‘I haven’t seen this and therefore I can’t do it,’” Daley said. “I think a lot of times teachers can unintentionally foster that because they’re so urgently trying to cover everything. That’s where the kind of mindless [teaching] approaches come in.”

Teachers may think to themselves: “’OK, I’m gonna make this as simple as possible, make sure everyone knows how to follow the steps and then when they see it, they can follow it,” Daley said.

But that strategy might “take away their students’ confidence that they can figure out what to do when they don’t know what to do, which is really what you want them to be thinking when they go to approach a test,” Daley said.

Data analysis for this article was provided by the EdWeek Research Center. Learn more about the center’s work.

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