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Fun math topics


List of "Cool Things" | Discovering the Art of Mathematics

How do you find "Cool Things" to share in your own classes? In this list, we are sharing a few of our ideas, with hopefully a few pointers so you can start creating your own list:

Share what is interesting and exciting to you about the world and mathematics
  • Tell stories! The students love to hear stories; stories about you, or your kids, etc., or stories about mathematics and mathematicians.
  • Read them cool things that you have recently read, e.g. from:
    • Notices AMS
    • Monthly, Math. Mag., CMJ
    • Scientific American
    • New York Times

Using Ideas from our Books for "Cool Things"
  • 4 dimensions and the hypercube using soap bubbles Geometry
  • 0.99999... = 1, The Infinite and Patterns
  • Gabriel's Wedding Cake, The Infinite
  • Surreal Numbers, The Infinite
  • Goldbach's Conjecture, Number Theory
  • Fractals and Chaos, Geometry and Proof
  • Grandi series, The Infinite
  • Tangles, Knot Theory
  • Polyominoes, Knot Theory
  • Butterfly effect, Proof
  • Bees as mathematicians, Student toolbox
  • Millinillitrillion, Patterns
  • Flexagons and Feynman stories, Art and Sculpture
  • Perspective drawing, Geometry
Connections with Nature
  • The 4 dimensional torus and how the universe might be finite (Jeff Weeks: The shape of Space)
  • Dance of the planets Dance of the planets and how it connects to star polygons and salsa rueda ( Dance )
  • Fibonacci
  • Number of Trees (NPR story)
Connections with Society
  • Arithmetic is not equal to mathematics.
  • Voting and voter registration
  • Share some news from the math education world (K-12 teaching, testing,...).
  • Talk about the mathematics behind fingerprinting and how fingerprinting is not always correct.
Being a Mathematician
  • What does it mean to you to be a mathematician?
  • Colbert clip about Perlman and the Poincaré Conjecture.
  • Dance my phd example
  • Stories about how you learned mathematics and why you fell in love with it.
  • Mathematical Reviews (With Stewart quote about more mathematics in the past 50 years)
  • Fields Medal
  • Women in mathematics
  • Ask students if they know the name of a famous mathematician. They probably don't know anyone! Tell lots of stories about mathematicians, e.g.
    • Alan Turing – Enigma and leopard spots
    • Code Talkers
    • Wiles
  • Lewis Carroll was a mathematician

Games
  • Jeff Week’s geometry games
  • Straight cut origami ( Art and Sculpture ) and Erik Demaine
  • The game nim ( Games and Puzzles -- play 3 piles against them and win all the time sorting piles using base 2)
  • Show a maypole pattern and think about the math involved
  • Math magic – Mathematical magic tricks -
  • Domino Artwork and Obaminoes -
  • Peg Solitaire using group theory

Cool student work
  • Show slice forms created by students
  • Show string art created by students
  • Read a math poem or a poem a student wrote
  • 8 graders found Rascal’s Theorem
  • 13 year old invents solar tree

Connection with the Arts
  • Play math inspired music that a student composed
  • Look at math and art exhibit in the department hallway
  • Show Dmitri Tymoczko's space of musical chords
  • Show the space of salsa dancing – paper by Volker Ecke and Christine von Renesse
Other Cool Mathematics
  • Milennium Prize Problems
  • Minimal surfaces
  • Tessellations
  • Euler characteristic
  • Dragon curves
  • Kaleidoscopes
  • Soap bubbles and paths

  • M. {i \pi}+1=0$
  • Mersenne Prime Search – GIMPS and the reward, Number Theory
  • Why $\pi$? Why does it go on forever? How do we know?
  • Penrose tilings and inflation and the fractal nature of the proof.
  • SETI at home
  • Daniel Tammet: the boy with the incredible brain

260 Interesting Math Topics for Essays & Research Papers

Mathematics is the science of numbers and shapes. Writing about it can give you a fresh perspective and help to clarify difficult concepts. You can even use mathematical writing as a tool in problem-solving.

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In this article, you will find plenty of interesting math topics. Besides, you will learn about branches of mathematics that you can choose from. And if the thought of letters and numbers makes your head swim, try our custom writing service. Our professionals will craft a paper for you in no time!

And now, let’s proceed to math essay topics and tips.

  1. 🔝 Top 10 Interesting Math Topics

  2. ✅ Branches of Mathematics

  3. ✨ Fun Math Topics

  4. 🏫 Math Topics for High School

  5. 🎓 College Math Topics

  6. 🤔 Advanced Math

  7. 📚 Math Research

  8. ✏️ Math Education

  9. 🧮 Algebra

  10. 📏 Geometry

  11. ➗ Calculus

  12. 💵 Business Math

  13. 🔍 References

Toogle TOC

🔝 Top 10 Interesting Math Topics

  1. Number theory in everyday life.

  2. Logicist definitions of mathematics.

  3. Multivariable vs. vector calculus.

  4. 4 conditions of functional analysis.

  5. Random variable in probability theory.

  6. How is math used in cryptography?

  7. The purpose of homological algebra.

  8. Concave vs. convex in geometry.

  9. The philosophical problem of foundations.

  10. Is numerical analysis useful for machine learning?

✅ Branches of Mathematics

What exactly is mathematics? First and foremost, it is very old. Ancient Greeks and Persians were already utilizing mathematical tools. Nowadays, we consider it an interdisciplinary language.

Biologists, linguists, and sociologists alike use math in their work. And not only that, we all deal with it in our daily lives. For instance, it manifests in the measurement of time. We often need it to calculate how much our groceries cost and how much paint we need to buy to cover a wall.

Simply put, mathematics is a universal instrument for problem-solving. We can divide pure math into three branches: geometry, arithmetic, and algebra. Let’s take a closer look:

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  • Geometry By studying geometry, we try to comprehend our physical surroundings. Geometric shapes can be simple, like a triangle. Or, they can form complicated figures, like a rhombicosidodecahedron.

  • Arithmetic Arithmetic deals with numbers and simple operations: subtraction, addition, division, and multiplication.

  • Algebra Algebra is used when the exact numbers are unclear. Instead, they are replaced with letters. Businesses often need algebra to predict their sales.

It’s true that most high school students don’t like math. However, that doesn’t mean it can’t be a fun and compelling subject. In the following section, you will find plenty of enthralling mathematical topics for your paper.

✨ Fun Math Topics

If you’re struggling to start working on your essay, we have some fun and cool math topics to offer. They will definitely engage you and make the writing process enjoyable. Besides, fun math topics can show everyone that even math can be entertaining or even a bit silly.

  1. The link between mathematics and art – analyzing the Golden Ratio in Renaissance-era paintings.

  2. An evaluation of Georg Cantor’s set theory.

  3. The best approaches to learning math facts and developing number sense.

  4. Different approaches to probability as explored through analyzing card tricks.

  5. Chess and checkers – the use of mathematics in recreational activities.

  6. The five types of math used in computer science.

  7. Real-life applications of the Pythagorean Theorem.

  8. A study of the different theories of mathematical logic.

  9. The use of game theory in social science.

  10. Mathematical definitions of infinity and how to measure it.

  11. What is the logic behind unsolvable math problems?

  12. An explanation of mean, mode, and median using classroom math grades.

  13. The properties and geometry of a Möbius strip.

  14. Using truth tables to present the logical validity of a propositional expression.

  15. The relationship between Pascal’s Triangle and The Binomial Theorem.

  16. The use of different number types: the history.

  17. The application of differential geometry in modern architecture.

  18. A mathematical approach to the solution of a Rubik’s Cube.

  19. Comparison of predictive and prescriptive statistical analyses.

  20. Explaining the iterations of the Koch snowflake.

  21. The importance of limits in calculus.

  22. Hexagons as the most balanced shape in the universe.

  23. The emergence of patterns in chaos theory.

  24. What were Euclid’s contributions to the field of mathematics?

  25. The difference between universal algebra and abstract algebra.

🏫 Math Essay Topics for High School

When writing a math paper, you want to demonstrate that you understand a concept. It can be helpful if you need to prepare for an exam. Choose a topic from this section and decide what you want to discuss.

  1. Explain what we need Pythagoras’ theorem for.

  2. What is a hyperbola?

  3. Describe the difference between algebra and arithmetic.

  4. When is it unnecessary to use a calculator?

  5. Find a connection between math and the arts.

  6. How do you solve a linear equation?

  7. Discuss how to determine the probability of rolling two dice.

  8. Is there a link between philosophy and math?

  9. What types of math do you use in your everyday life?

  10. What is the numerical data?

  11. Explain how to use the binomial theorem.

  12. What is the distributive property of multiplication?

  13. Discuss the major concepts in ancient Egyptian mathematics.

  14. Why do so many students dislike math?

  15. Should math be required in school?

  16. How do you do an equivalent transformation?

  17. Why do we need imaginary numbers?

  18. How can you calculate the slope of a curve?

  19. What is the difference between sine, cosine, and tangent?

  20. How do you define the cross product of two vectors?

  21. What do we use differential equations for?

  22. Investigate how to calculate the mean value.

  23. Define linear growth.

  24. Give examples of different number types.

  25. How can you solve a matrix?

🎓 College Math Topics for a Paper

Sometimes you need more than just formulas to explain a complex idea. That’s why knowing how to express yourself is crucial. It is especially true for college-level mathematics. Consider the following ideas for your next research project:

  1. What do we need n-dimensional spaces for?

  2. Explain how card counting works.

  3. Discuss the difference between a discrete and a continuous probability distribution.

  4. How does encryption work?

  5. Describe extremal problems in discrete geometry.

  6. What can make a math problem unsolvable?

  7. Examine the topology of a Möbius strip.

  1. What is K-theory?

  2. Discuss the core problems of computational geometry.

  3. Explain the use of set theory.

  4. What do we need Boolean functions for?

  5. Describe the main topological concepts in modern mathematics.

  6. Investigate the properties of a rotation matrix.

  7. Analyze the practical applications of game theory.

  8. How can you solve a Rubik’s cube mathematically?

  9. Explain the math behind the Koch snowflake.

  10. Describe the paradox of Gabriel’s Horn.

  11. How do fractals form?

  12. Find a way to solve Sudoku using math.

  13. Why is the Riemann hypothesis still unsolved?

  14. Discuss the Millennium Prize Problems.

  15. How can you divide complex numbers?

  16. Analyze the degrees in polynomial functions.

  17. What are the most important concepts in number theory?

  18. Compare the different types of statistical methods.

🤔 Advanced Topics in Math to Write a Paper on

Once you have passed the trials of basic math, you can move on to the advanced section. This area includes topology, combinatorics, logic, and computational mathematics. Check out the list below for enticing topics to write about:

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  1. What is an abelian group?

  2. Explain the orbit-stabilizer theorem.

  3. Discuss what makes the Burnside problem influential.

  4. What fundamental properties do holomorphic functions have?

  5. How does Cauchy’s integral theorem lead to Cauchy’s integral formula?

  6. How do the two Picard theorems relate to each other?

  7. When is a trigonometric series called a Fourier series?

  8. Give an example of an algorithm used for machine learning.

  9. Compare the different types of knapsack problems.

  10. What is the minimum overlap problem?

  11. Describe the Bernoulli scheme.

  12. Give a formal definition of the Chinese restaurant process.

  13. Discuss the logistic map in relation to chaos.

  14. What do we need the Feigenbaum constants for?

  15. Define a difference equation.

  16. Explain the uses of the Fibonacci sequence.

  17. What is an oblivious transfer?

  18. Compare the Riemann and the Ruelle zeta functions.

  19. How can you use elementary embeddings in model theory?

  20. Analyze the problem with the wholeness axiom and Kunen’s inconsistency theorem.

  21. How is Lie algebra used in physics?

  22. Define various cases of algebraic cycles.

  23. Why do we need étale cohomology groups to calculate algebraic curves?

  24. What does non-Euclidean geometry consist of?

  25. How can two lines be ultraparallel?

📚 Math Research Topics for a Paper

Choosing the right topic is crucial for a successful research paper in math. It should be hard enough to be compelling, but not exceeding your level of competence. If possible, stick to your area of knowledge. This way your task will become more manageable. Here are some ideas:

  1. Write about the history of calculus.

  2. Why are unsolved math problems significant?

  3. Find reasons for the gender gap in math students.

  4. What are the toughest mathematical questions asked today?

  5. Examine the notion of operator spaces.

  6. How can we design a train schedule for a whole country?

  7. What makes a number big?

  1. How can infinities have various sizes?

  2. What is the best mathematical strategy to win a game of Go?

  3. Analyze natural occurrences of random walks in biology.

  4. Explain what kind of mathematics was used in ancient Persia.

  5. Discuss how the Iwasawa theory relates to modular forms.

  6. What role do prime numbers play in encryption?

  7. How did the study of mathematics evolve?

  8. Investigate the different Tower of Hanoi solutions.

  9. Research Napier’s bones. How can you use them?

  10. What is the best mathematical way to find someone who is lost in a maze?

  11. Examine the Traveling Salesman Problem. Can you find a new strategy?

  12. Describe how barcodes function.

  13. Study some real-life examples of chaos theory. How do you define them mathematically?

  14. Compare the impact of various ground-breaking mathematical equations.

  15. Research the Seven Bridges of Königsberg. Relate the problem to the city of your choice.

  16. Discuss Fisher’s fundamental theorem of natural selection.

  17. How does quantum computing work?

  18. Pick an unsolved math problem and say what makes it so difficult.

✏️ Math Education Research Topics

For many teachers, the hardest part is to keep the students interested. When it comes to math, it can be especially challenging. It’s crucial to make complicated concepts easy to understand. That’s why we need research on math education.

  1. Compare traditional methods of teaching math with unconventional ones.

  2. How can you improve mathematical education in the U.S.?

  3. Describe ways of encouraging girls to pursue careers in STEM fields.

  4. Should computer programming be taught in high school?

  5. Define the goals of mathematics education.

  6. Research how to make math more accessible to students with learning disabilities.

  7. At what age should children begin to practice simple equations?

  8. Investigate the effectiveness of gamification in algebra classes.

  9. What do students gain from taking part in mathematics competitions?

  10. What are the benefits of moving away from standardized testing?

  11. Describe the causes of “math anxiety.” How can you overcome it?

  12. Explain the social and political relevance of mathematics education.

  13. Define the most significant issues in public school math teaching.

  14. What is the best way to get children interested in geometry?

  15. How can students hone their mathematical thinking outside the classroom?

  16. Discuss the benefits of using technology in math class.

  17. In what way does culture influence your mathematical education?

  18. Explore the history of teaching algebra.

  19. Compare math education in various countries.

  1. How does dyscalculia affect a student’s daily life?

  2. Into which school subjects can math be integrated?

  3. Has a mathematics degree increased in value over the last few years?

  4. What are the disadvantages of the Common Core Standards?

  5. What are the advantages of following an integrated curriculum in math?

  6. Discuss the benefits of Mathcamp.

🧮 Algebra Topics for a Paper

The elegance of algebra stems from its simplicity. It gives us the ability to express complex problems in short equations. The world was changed forever when Einstein wrote down the simple formula E=mc². Now, if your algebra seminar requires you to write a paper, look no further! Here are some brilliant prompts:

  1. Give an example of an induction proof.

  2. What are F-algebras used for?

  3. What are number problems?

  4. Show the importance of abstract algebra.

  5. Investigate the peculiarities of Fermat’s last theorem.

  6. What are the essentials of algebra?

  7. Explore the relationship between algebra and geometry.

  8. Compare the differences between commutative and noncommutative algebra.

  9. Why is Brun’s constant relevant?

  10. How do you factor quadratics?

  11. Explain Descartes’ Rule of Signs.

  12. What is the quadratic formula?

  13. Compare the four types of sequences and define them.

  14. Explain how partial fractions work.

  15. What are logarithms used for?

  16. Describe the Gaussian elimination.

  17. What does Cramer’s rule state?

  18. Explore the difference between eigenvectors and eigenvalues.

  19. Analyze the Gram-Schmidt process in two dimensions.

  20. Explain what is meant by “range” and “domain” in algebra.

  21. What can you do with determinants?

  22. Learn about the origin of the distance formula.

  23. Find the best way to solve math word problems.

  24. Compare the relationships between different systems of equations.

  25. Explore how the Rubik’s cube relates to group theory.

📏 Geometry Topics for a Research Paper

Shapes and space are the two staples of geometry. Since its appearance in ancient times, it has evolved into a major field of study. Geometry’s most recent addition, topology, explores what happens to an object if you stretch, shrink, and fold it. Things can get pretty crazy from here! The following list contains 25 interesting geometry topics:

  1. What are the Archimedean solids?

  2. Find real-life uses for a rhombicosidodecahedron.

  3. What is studied in projective geometry?

  4. Compare the most common types of transformations.

  5. Explain how acute square triangulation works.

  6. Discuss the Borromean ring configuration.

  7. Investigate the solutions to Buffon’s needle problem.

  8. What is unique about right triangles?

  1. Describe the notion of Dirac manifolds.

  2. Compare the various relationships between lines.

  3. What is the Klein bottle?

  4. How does geometry translate into other disciplines, such as chemistry and physics?

  5. Explore Riemannian manifolds in Euclidean space.

  6. How can you prove the angle bisector theorem?

  7. Do a research on M. C. Escher’s use of geometry.

  8. Find applications for the golden ratio.

  9. Describe the importance of circles.

  10. Investigate what the ancient Greeks knew about geometry.

  11. What does congruency mean?

  12. Study the uses of Euler’s formula.

  13. How do CT scans relate to geometry?

  14. Why do we need n-dimensional vectors?

  15. How can you solve Heesch’s problem?

  16. What are hypercubes?

  17. Analyze the use of geometry in Picasso’s paintings.

➗ Calculus Topics to Write a Paper on

You can describe calculus as a more complicated algebra. It’s a study of change over time that provides useful insights into everyday problems. Applied calculus is required in a variety of fields such as sociology, engineering, or business. Consult this list of compelling topics on a calculus paper:

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  1. What are the differences between trigonometry, algebra, and calculus?

  2. Explain the concept of limits.

  3. Describe the standard formulas needed for derivatives.

  4. How can you find critical points in a graph?

  5. Evaluate the application of L’Hôpital’s rule.

  6. How do you define the area between curves?

  7. What is the foundation of calculus?

  1. How does multivariate calculus work?

  2. Discuss the use of Stokes’ theorem.

  3. What does Leibniz’s integral rule state?

  4. What is the Itô stochastic integral?

  5. Explore the influence of nonstandard analysis on probability theory.

  6. Research the origins of calculus.

  7. Who was Maria Gaetana Agnesi?

  8. Define a continuous function.

  9. What is the fundamental theorem of calculus?

  10. How do you calculate the Taylor series of a function?

  11. Discuss the ways to resolve Runge’s phenomenon.

  12. Explain the extreme value theorem.

  13. What do we need predicate calculus for?

  14. What are linear approximations?

  15. When does an integral become improper?

  16. Describe the Ratio and Root Tests.

  17. How does the method of rings work?

  18. Where do we apply calculus in real-life situations?

💵 Business Math Topics to Write About

You don’t have to own a company to appreciate business math. Its topics range from credits and loans to insurance, taxes, and investment. Even if you’re not a mathematician, you can use it to handle your finances. Sounds interesting? Then have a look at the following list:

  1. What are the essential skills needed for business math?

  2. How do you calculate interest rates?

  3. Compare business and consumer math.

  4. What is a discount factor?

  5. How do you know that an investment is reasonable?

  6. When does it make sense to pay a loan with another loan?

  7. Find useful financing techniques that everyone can use.

  8. How does critical path analysis work?

  9. Explain how loans work.

  10. Which areas of work utilize operations research?

  11. How do businesses use statistics?

  12. What is the economic lot scheduling problem?

  13. Compare the uses of different chart types.

  14. What causes a stock market crash?

  15. How can you calculate the net present value?

  16. Explore the history of revenue management.

  17. When do you use multi-period models?

  18. Explain the consequences of depreciation.

  19. Are annuities a good investment?

  20. Would the U.S. financially benefit from discontinuing the penny?

  21. What caused the United States housing crash in 2008?

  22. How do you calculate sales tax?

  23. Describe the notions of markups and markdowns.

  24. Investigate the math behind debt amortization.

  25. What is the difference between a loan and a mortgage?

With all these ideas, you are perfectly equipped for your next math paper. Good luck!

🔍 References

  1. What Is Calculus?: Southern State Community College

  2. What Is Mathematics?: Tennessee Tech University

  3. What Is Geometry?: University of Waterloo

  4. What Is Algebra?: BBC

  5. Ten Simple Rules for Mathematical Writing: Ohio State University

  6. Practical Algebra Lessons: Purplemath

  7. Topics in Geometry: Massachusetts Institute of Technology

  8. The Geometry Junkyard: All Topics: Donald Bren School of Information and Computer Sciences

  9. Calculus I: Lamar University

  10. Business Math for Financial Management: The Balance Small Business

  11. What Is Mathematics: Life Science

  12. What Is Mathematics Education?: University of California, Berkeley

interesting math problems and assignments

Tips for parents and examples of exciting math assignments. fun tasks, puzzles, exercises and tests with answers and solutions.

Try the LogicLike course in a playful way!

Choose an age to start

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6-7 years

1-2 class

3-5 class

6-9 grade

15+ for myself

Why do children and parents choose LogicLike?

ALL LOGIC IN GAME FORM!

  • Flexible mind and confidence When children decide tasks and puzzles on LogicLike, they develop ingenuity and Confidence in your strength.
  • Foundation for IT We teach how to work with information competently, develop logical and mathematical intelligence, memory and thinking.
  • Sip "fresh air" You can spend 20-30 minutes on yourself while the child develops. By the way, doing LogicLike is also interesting for adults.

Start classes!

The benefits of studying logic and mathematics

Elementary mathematical representations help to form in kindergarten. Basic Mathematical abilities are developed at school.

And so that the child learns to reason logically, to think outside the box - ordinary arithmetic and geometric problems are not enough.

Already at preschool age, it is desirable to develop the habit of daily tasks and exercises for the development of logical thinking.

Thanks to regular training:

  • the child learns to reason, analyze and do the right things. conclusions;
  • develops intelligence, memory, attention and intelligence;
  • success increases self-esteem, interest in learning at school, inspire to win in mathematical olympiads and competitions.

Children aged 5-12 enjoy walking LogicLike course in game form. In the meantime, they learn to reason develop logic, ability to mathematics and cognitive interest.

Math problems by age

It is easiest to interest preschoolers 5-7 years old, primary school students. Main - offer a variety of entertaining tasks, make the process of solving problems exciting, with elements of the game, and provide a moderate difficulty of the tasks.

Examples of tasks by age

  • Logic for children 5-6 years old
  • Logic for children 6-7 years old
  • Mathematics for preschoolers
  • 1st class
  • 2nd class
  • 3rd class
  • 4 class

By grades 3-4, a student's motivation often decreases. It is important for parents not to miss this moment and explain to the child why to do it at all mathematics and learn to solve problems.

Logic and Math Examples

  • for preschoolers
  • for first graders
  • examples for 2 class
  • for 3rd grade
  • for class 4
  • examples for 5 class

Logic-mathematical and other educational games by age

45 years

Entertaining tasks by type

In terms of regular training at any age, there should be at least 5-7 types of tasks. This will help the complex development of the child's logic, cognitive, creative and mathematical skills. abilities.

Among the most interesting and popular categories of tasks for logic and ingenuity:

  • Classic logic problems. Teaching children analyze the text, highlight the main thing, reason and draw conclusions.
  • Arithmetic puzzles. Excellent performance of key mental operations: abstraction, analysis and synthesis, comparison and others.
  • Tasks on regularities, sequences. Helps develop analytical skills and creative thinking.

Examples of tasks by type

Logic tasks

Math puzzles

Search tasks patterns

Truth and lie

Find the extra in each group

magic squares

Chess problems for beginners

Riddles for logic

Puzzles with matches, permutations

Puzzles with letters and numbers

Topics of research papers in mathematics

Attention! To repeat and consolidate the multiplication table and division table, we offer our game programs Multiplication table in cartoons and Division table in cartoons.

This page contains a total list of topics of research papers in mathematics for grades 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11, which can be accessed by clicking on the links and further on the pages, choose the topic that best suits the level of knowledge and skills of the child project. The project activity of the student begins only after the topic of the research work is approved by the supervisor (teacher).

The various topics of mathematics projects on this page can be taken as a basis, supplemented and changed in accordance with the goals of the study and the idea of ​​the project.

  • Topics for projects in mathematics for grades 1, 2, 3, 4
  • Topics for projects in mathematics for grade 5
  • Topics for projects in mathematics for grade 6
  • Topics for projects in mathematics for grade 7
  • Topics for projects in mathematics for grade 8
  • Topics for projects in mathematics for grade 9
  • Topics for projects in mathematics for grade 10
  • Topics for projects in mathematics for grade 11

Correctly chosen topics for projects in mathematics for students 5, 6, 7, 8, 9, grades 10 or 11 contributes to the fact that working on them will be really exciting, informative and interesting. Especially if this research project in mathematics is carried out by a group of children.

  • Research papers on the history of mathematics
  • Algebra Research Topics
  • Logic Research Topics
  • Geometry Research Topics
  • Solid geometry research topics
  • Research topics in combinatorics
  • Research topics on mathematical games
  • Topics of research papers in mathematics in subjects

The following topics for research papers and projects in mathematics are approximate, some of them can be combined into one topic if there are common tasks and goals of the study.

Mathematics research projects

Mathematics project topics:

Author's tasks.
Aliquot fractions
Arithmetic of remainders. Modulo comparisons.
Without ruler
Without ruler, or measure with bare hands.
The endless world of numbers.
Divine number
Letter in a cube.
Quick account - easy and simple!
Quick calculation without a calculator.
In the depths of centuries, or As the ancients believed.
In the world of time (collection of creative tasks).
In the world of puzzles and labyrinths.
In the world of amazing numbers.
In search of optimal solutions.
In the realm of giant numbers.
Omnipresent mathematics.
Great tasks
Magnificent seven
Magnificent numbers.
Types of tasks for logical thinking.
Types and properties of movements.
Types of word problems and their solution.
Influence of the speed of falling raindrops on the speed of human movement during rain.
Law reigns in everything...
Time and its measurement
Time cannot be stopped, but can it be measured?
Time to work and time to rest.
Everything is a number
Everything about the "three" and a little more...
Everything about the number 13
Everything about the number 7
Is it always 2 x 2 = 4?
Calculation of the speed of the river.
Gallery of wonderful numbers.
Gallery of numerical curiosities.
Harmony and mathematics
Genetic code and Pythagorean square.
Geography of numbers
Hypothesis about the origins of the golden section.
Puzzles with matches
Graphic methods and geometric considerations in solving problems in mathematics Graphic techniques in solving problems in mathematics.
Graphical method for solving plot problems.
Graphical way to multiply numbers.
Two ways to solve logical problems
Actions on numbers in different number systems.
Zero's birthday
Pi's birthday
Children's tasks for adult children.
Old Russian problems
Ancient number systems.
Ancient, but eternally young prime numbers
Friendly triplets of numbers.
Friendly numbers
Heat of cold numbers
Living mathematics
Living nature and symmetry.
The mystery of the paper strip.
Riddle of Ramanujan
Riddles of the number series
Mysterious world of numbers.
Tasks from an old textbook.
Problems from Ethiopia
Problems for all occasions
Problems for the movement of two objects.
Problems on the movement along the river
Problems on checkered paper. Peak formula.
Problems on local material
Problems for the largest and smallest values ​​of quantities and methods for their solution.
Problems for optimization
Problems for liquid transfusion.
Cutting tasks
Outdoor tasks.
Problems for parity
Problems about labyrinths
Problems about four colors.

Topics for research projects in mathematics

Topics for research projects in mathematics:

Tasks of increased difficulty "on the move".
Tasks with restrictions.
Problems with the same numbers.
Problems with parameters
Problems with matches
Old and old problems.
Problems that could become theorems.
Wonderful numbers. Friendly numbers and twin primes.
Entertaining logic in mathematics
Entertaining problems
Entertaining problems of the distant past.
Entertaining problems in mathematics.
Entertaining numbers
Zanimatika
Entertaining flocks of prime numbers.
The origin and evolution of a mathematical problem.
Why does a person need measurements at different times?
Familiar and unfamiliar magic number Pi.
Acquaintance with symmetry
Measuring time.
Isoperimetric problem, or Dido's problem.
Exploring the possibility of using drawing in mathematics lessons. /
Interesting and fast ways and methods of calculations.
Interesting and intellectual puzzles.
The art of guessing numbers
Use of mathematical cutting games.
Using some provisions of number theory to solve problems of increased difficulty.
The use of ancient measures of length and weight for solving and compiling problems.
Study of mathematical abilities.
Study of the method of solving problems in various ways.
Study of a series of natural numbers.
Calculating time
How big is a million?
How to measure time?
How to measure the distance between relatives.
How to solve the problem
How to cut a pie?
How to count without a computer and a calculator.
Calendars of time
Calendar distance of centuries
Calculators.
Square wheel - truth or myth?
Contact numbers and the thirteen ball problem.
Piggy bank of non-standard tasks in mathematics.
The Queen of Mathematics
Beautiful and fast methods of calculation
Beauty in symmetry
Beauty and mathematics
Beauty through the prism of science
Cryptograms - cryptography of the past, present and future
Cryptography
Cryptography and cryptanalysis.
Cryptography and mathematics
Cryptography and steganography.
Cryptography as a method of encoding and decoding information.
Cryptography, mathematical algorithms for encryption.
Cryptography. The basics of encryption and the history of development.
Cryptography. Methods of its practical application.
Cryptography. Science of ciphers
Crystallography and mathematics
Winged mathematical expressions.
Curiosities, sophisms, paradoxes in mathematics.
Deft compasses
Magic secrets of the number 7
Magic numbers
Magic numbers in nature

Magic numbers and figures
Magic number "Pi"
Magic number of Scheherazade.
Magic of Numbers
Magic of Numbers 3, 11, 13
Mathematics in life: calculation of the repair work of the premises.
Mathematics in my future profession.
Mathematics around us
Mathematics on a chessboard.
Prodigy mathematicians
Mathematical processing of experimental data.
Mathematical formula of beauty.
Mathematical gems
Mathematical presentations
Mathematical sophisms.
Mathematical terms.
Mathematical billiards.
Mathematical calendar for schoolchildren.
Math pendulum
Mathematical assistant
Mathematical modeling of the global development of mankind.
Mathematical modeling and its practical application.
Mathematical modeling as a way to solve problems (problems).
Mathematical modeling of the environment.
Mathematical modeling.
Mathematical description of random phenomena.
Mathematical journey into the world of harmony.
Materials for mathematical leisure.
The world of numbers, sounds and colors
Modeling of composite tasks.
The world of big numbers.
Modeling of text tasks.
Visual topology
Unknown about the known, or How to make a discovery. Is pi equal to 4?
Some interesting dependencies.
Unusual in ordinary numbers
Non-standard problems
Non-standard problems at olympiads in mathematics.
Zero has a special place in mathematics.
Numbering and number systems.
Numerology
Numerology - the magic of numbers
Numerology - myth or reality?
Numerology is the science of numbers in our lives.
Numerology - modern science
Numerology in human life
Numerology: science or delusion?
In one stroke
Description of beauty and harmony of nature by mathematical relation.
Definition in the course of mathematics
Optical illusions and their application
Ornament as an imprint of the soul of the people.
Ornamental and geometric art by M. Escher.
Ornaments
From fingers to calculator
Discovery: coincidence or regularity?
The charm of prime numbers.
Palindromes in mathematics
Parameter. Dynamic illustrations for problem solving.
Letter with a secret
Planet of numbers
Through the pages of ageless Russian textbooks on mathematics.
Practical advice of mathematicians.
Traditions of antiquity far away (solution of ancient problems)
Devices, tools and devices for calculations.
Applied problems
Application of graphical methods in solving word problems.
The use of space images in the lesson of mathematics.
Pi calculation check.
Even parity check
Prime numbers
Contradiction of a consistent statement. №
Journey to the origins of geometry.
Development of the concept of "infinity" in mathematics.
Talk about zero
Various ways of solving word problems.
The real world of imaginary numbers.

Recurrent relations and their application.
Solving diophantine equations
Solving problems by estimation method
Solving problems on mixtures and alloys.
Solving problems for compliance and exclusion of incorrect answers.
Solving problems according to ready-made drawings.
Solving problems on the topic "Movement along the river".
Solving optimization problems in mathematics.
Solving ancient problems
Solving text problems
Solving equations in integers.
The most interesting number
The secret of successful problem solving.
The seven greatest mysteries of mathematics.
Serious and funny in numbers
Symmetric prime numbers.
Number systems
Hidden modules
Perfect numbers
Perfect numbers. friendly numbers.
Perfect numbers. Mersenne prime numbers.
Reduced division using Horner's circuit.
Tasks will help to save health
Ways and techniques of fast calculations.
Ways of representing numbers in different number systems.
Methods for solving problems on the movement of bodies
Methods for the oral squaring of numbers.
Comparative analysis of the stability of some well-known ciphers.
Ancient problems
Ancient problems of ancient peoples.
Ancient fun puzzles
We count without a calculator
The mystery of even numbers
The mystery of the number "Pi"
Text problems in the school mathematics course.
Text problems and modeling.
Text problems for movement
Text problems for mixtures, alloys and solutions.
Text tasks for collaboration.
Mathematics textbook: yesterday, today, tomorrow
Figured numbers
Philosophical mystery of numbers
Philosophical aspects of mathematics
Finno-Ugric number system among other systems.
Folklore tasks
Whole numbers and temperature measurement.
The price of one minute
Continued fractions
Number "9" in Tuvan numerology.
Digital roots
Numbers in our life.
Numbers around us
Pythagorean numbers and the beauty of the world.
Numbers rule the world
Numbers rule the world. Is it possible to imagine a world without numbers?
Numbers with proper names.
Number P.
A number that is larger than the Universe.
Numerical inequalities
The sixth mathematical action.
Six mathematical operations.
Ciphers and cryptograms.
Ciphers and mathematics
These amazing quaternions.

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