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This is a collection of materials developed for Math Circle sessions for teachers and students. These materials were primarily designed as a guide for session leaders rather than for classroom use.

Handouts and worksheets used specifically for Math Teachers’ Circles are marked by . Please keep visiting this page, as we are always adding new materials and refining old ones. We welcome your contributions to this list!

General Problem Solving
Mathematical Games
Algebra & Arithmetic
Combinatorics
Geometry
Number Theory
Miscellanea

• General Problem Solving
• Introduction to Problem Solving (Joshua Zucker)
• NEW! The Power of Wishful Thinking: handout and hints (Altha Rodin)
• Problem-Solving Warmups (Elgin Johnston; TeX files available upon request)
• Problems to Tease and Teach (Tatiana Shubin)
• So You’re Going to Lead a Math Circle (Emily McCullough & Tom Davis)

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• Mathematical Games
• Mathematical Card Tricks (Tom Davis)
• Mathematical Games (Tatiana Shubin)
• The Mathematics of Sudoku (Tom Davis)
• One-Player Games (Joshua Zucker)

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• Algebra & Arithmetic
• Coins in Twoland (Joshua Zucker)
• NEW! Dots and Boxes (James Tanton) :
  Instructor notes, Student materials
• NEW! Intersection Math (James Tanton)
• Fractions, Decimals, Ratios, Percents, Proportions (Tatiana Shubin)

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• Combinatorics
• Catalan Numbers (Tom Davis)
• Combinations and Permutations (Tom Davis)
• Combinatorial Problems (Tom Davis)
• Counting (Harold Reiter; TeX files and solutions available upon request)
• Counting Things (Tom Davis)
• Derangements (Brian Conrey & Tom Davis)
• Euler Characteristic & Worksheet (Sam Vandervelde)
• Exploring Pascal’s Triangle (Tom Davis)
• Game of Criss-Cross & Worksheet (Sam Vandervelde)
• Graph Theory Problems (Tom Davis)
• Handshakes and Graph Theory (Elgin Johnston; TeX files available upon request)
• Magic, Latin, and Sudoku Squares (Matthias Beck)
• Polya’s Counting Theory (Tom Davis)
• Tilings (Sam Vandervelde)
• Parking Functions (Matthias Beck)
• Probability (Elgin Johnston; TeX files available upon request)
• Shuffling, Cycles, and Matrices (Elgin Johnston; TeX files available upon request)
• Where Can I Park? (Elgin Johnston; TeX files available upon request)

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• Geometry
• Big Box Problems (Harold Reiter; TeX files and solutions available upon request)
• NEW! The Biggest, the Smallest... (Tatiana Shubin)
• Classical Geometric Construction (Tom Davis)
• Curves in Computer Graphics (Tom Davis)
• Euler’s Theorem (Tom Davis)
• Four Points on a Circle (Tom Davis)
• Geodesic Domes (Tom Davis)
• Geometry and Geography (Tom Davis)
• NEW! Grid Luck (Tatiana Shubin)
• Homogeneous Coordinates for Computer Graphics (Tom Davis)
• (Mostly) Simple (Mostly Area) Problems with Solutions (Tatiana Shubin)
• Pick’s Theorem (Matthias Beck)
• Pick’s Theorem (Tom Davis)
• NEW! Point Sets with Few Distances (Alon Amit)
• Polyhedral Symmetry (Sam Vandervelde)
• Practical Calculation of Polygonal Areas (Tom Davis)
• Projective Geometry (Tom Davis)
• The Mathematics of Zome (Tom Davis)

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• Number Theory
• Codes, Ciphers, and Secret Messages (Matthias Beck)
• Coins, M&M’s, and Generating Functions (Matthias Beck)
• Cryptography (Tom Davis)
• Digital Delirium (Harold Reiter; TeX files and solutions available upon request)
• More Digital Delirium (Harold Reiter; TeX files and solutions available upon request)
• Divisibility Tests (Matthias Beck)
• Introduction to Diophantine Equations (Tom Davis)
• Introduction to Finite Systems: Z6 and Z7 (Harold Reiter; TeX files and solutions available upon request)
• The Jug Band (Elgin Johnston; TeX files available upon request)
• Lockers: An Open-and-Shut Case (Elgin Johnston; TeX files available upon request)
• Place Value Problems (Harold Reiter; TeX files and solutions available upon request)
• Primes, Divisibility, and Modular Arithmetic (Joshua Zucker)
• RSA Encryption (Tom Davis)
• Prime Number Card (Paul Zeitz)
• Repeating Decimals (Elgin Johnston; TeX files available upon request)
• Using the Euclidean Algorithm (Harold Reiter; TeX files and solutions available upon request)

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• Miscellanea
• Big Numbers (Tom Davis)
• Coloring (Tom Davis)
• Conway’s Rational Tangles (Tom Davis)
• Fractions and Decimals (Tom Davis)
• Infinity (Tom Davis)
• Introduction to Matrices (Tom Davis)
• Permutation Groups and Rubik’s Cube (Tom Davis)
• Sucker Bets (Tom Davis)
• Visualization in Algebra (Tom Davis)

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