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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!

Featured Sessions

Winter 2012 Newsletter

Factorials and Squares (Estelle Basor)
Zometool Lesson Plans 1.0 (see pp. 49-51)
Mathematical Card Tricks (Tom Davis)
Mathemagical Card Tricks (Stephanie Santorico)
Four Points, Two Distances (Alon Amit)
What is Like a Square? (Joshua Zucker)
Dots and Boxes (James Tanton; see p. 22 of the instructor notes)

Summer 2011 Newsletter

Grid Luck (Tatiana Shubin)
Have Colors - Will Paint (Tatiana Shubin)
Instant Insanity Cubes (Stephen Hartke)
The Jug Problem: video clips, The Jug Band (Elgin Johnston), Three Jugs (Joshua Zucker)
The Mad Veterinarian on Mathematical Safari (Gene Abrams)

Sessions by Topic

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

• General Problem Solving
• Introduction to Problem Solving (Joshua Zucker)
• The 1-to-100 Problem (Joshua Zucker and Tom Davis)
• 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
• KenKen (Tom Davis)
• Mathematical Card Tricks (Tom Davis)
• NEW! Mathemagical Card Tricks: Participant and Leader documents (Stephanie Santorico)
• Mathematical Games (Tatiana Shubin)
• The Mathematics of Sudoku (Tom Davis)
• One-Player Games (Joshua Zucker)
• SET (Brian Conrey and Brianna Donaldson)

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• Algebra & Arithmetic
• Coins in Twoland (Joshua Zucker)
• 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)
• NEW! The Mad Veterinarian on Mathematical Safari: notes and slides (Gene Abrams)
• 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
• NEW! Any Conic Section (So Long As It Is a Parabola) (Tatiana Shubin)
• 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)
• Grid Luck (Tatiana Shubin)
• NEW! Have Colors - Will Paint (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)
• 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)
• NEW! Factorials and Squares (Estelle Basor)
• 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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