Description
Book SynopsisContains everything that is needed to run a successful mathematical circle for a full year. The materials, distributed among 29 weekly lessons, include detailed lectures and discussions, sets of problems with solutions, and contests and games. In addition, the book shares some of the know-how of running a mathematical circle.
Table of Contents
- Acknowledgments
- Preliminaries
- Session plans
- Introduction
- How to solve a problem
- Knights and liars
- How to turn lies into truth
- Mathematical auction
- Word problems and common sense
- More word problems
- Odd and even numbers I. Magic paper cups
- Odd and even numbers II. Definitions and properties
- Halloween math hockey I
- Odd and even numbers III. Alternations
- Weighings an counterfeit coins
- Mathematical Olympiad I
- Meet the cube. First lesson in 3d geometry
- Cross sections. Second lesson in 3d geometry
- Mathematical auction
- Combinatorics I
- Combinatorics II
- Mathematical hockey II
- Numerical puzzles I. Runaway digits
- Numerical puzzles II. Encrypted problems
- Mathematical Olympiad II
- Divisibility I. Definition and properties
- Divisibility II. Prime numbers and prime factorization
- Mathematical auction
- Divisibility III. Divisibility rules
- Divisibility IV. Relatively prime numbers
- Mathematical games of strategy I
- Mathematical games of strategy II
- Mathematical Olympiad III
- Mathematical contests and competitions
- Mathematical contests
- Mathematical auction
- Mathematical hockey
- Mathematical Olympiads
- Short entertaining math games
- More teaching advice
- How to be a great math circle teacher
- Math circle day-to-day
- More questions?
- Solutions
- Bibliography
