**MSRI Mathematical Circles Library**

Volume: 11;
2012;
335 pp;
Softcover

MSC: Primary 97; 00;

**Print ISBN: 978-0-8218-8745-5
Product Code: MCL/11**

List Price: $25.00

Individual Price: $18.75

**Electronic ISBN: 978-0-8218-9485-9
Product Code: MCL/11.E**

List Price: $25.00

Individual Price: $18.75

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#### Supplemental Materials

# Mathematical Circle Diaries, Year 1: Complete Curriculum for Grades 5 to 7

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*Anna Burago*

A co-publication of the AMS and the Mathematical Sciences Research Institute

Early middle school is a great time for
children to start their mathematical circle education. This time is a
period of curiosity and openness to learning. The thinking habits and
study skills acquired by children at this age stay with them for a
lifetime. Mathematical circles, with their question-driven approach
and emphasis on creative problem-solving, have been rapidly gaining
popularity in the United States. The circles expose children to the
type of mathematics that stimulates development of logical thinking,
creativity, analytical abilities and mathematical reasoning. These
skills, while scarcely touched upon at school, are in high demand in
the modern world.

This book contains 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. The
curriculum, which is based on the rich and long-standing Russian math
circle tradition, has been modified and adapted for teaching in the
United States. For the past decade, the author has been actively
involved in teaching a number of mathematical circles in the Seattle
area. This book is based on her experience and on the compilation of
materials from these circles.

The material is intended for students in grades 5 to 7. It can be
used by teachers and parents with various levels of expertise who are
interested in teaching mathematics with the emphasis on critical
thinking. Also, this book will be of interest to
mathematically motivated children.

In the interest of fostering a greater awareness and appreciation of
mathematics and its connections to other disciplines and everyday life, MSRI
and the AMS are publishing books in the Mathematical Circles Library series as
a service to young people, their parents and teachers, and the mathematics
profession.

Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

#### Readership

Teachers, parents, research mathematicians, undergraduate and graduate students interested in teaching extracurricular math to school children.

#### Table of Contents

# Table of Contents

## Mathematical Circle Diaries, Year 1: Complete Curriculum for Grades 5 to 7

- Cover Cover11
- Title page i2
- Contents v6
- Acknowledgments xi12
- Preliminaries 114
- Session plans 720
- Introduction 922
- How to solve a problem 1124
- Knights and liars 2336
- How to turn lies into truth 3144
- Mathematical auction 3750
- Word problems and common sense 4356
- More word problems 5164
- Odd and even numbers I. Magic paper cups 5770
- Odd and even numbers II. Definitions and properties 6376
- Halloween math hockey I 7184
- Odd and even numbers III. Alternations 7790
- Weighings an counterfeit coins 8598
- Mathematical Olympiad I 91104
- Meet the cube. First lesson in 3d geometry 97110
- Cross sections. Second lesson in 3d geometry 105118
- Mathematical auction 113126
- Combinatorics I 117130
- Combinatorics II 127140
- Mathematical hockey II 137150
- Numerical puzzles I. Runaway digits 141154
- Numerical puzzles II. Encrypted problems 147160
- Mathematical Olympiad II 153166
- Divisibility I. Definition and properties 157170
- Divisibility II. Prime numbers and prime factorization 165178
- Mathematical auction 173186
- Divisibility III. Divisibility rules 177190
- Divisibility IV. Relatively prime numbers 185198
- Mathematical games of strategy I 191204
- Mathematical games of strategy II 197210
- Mathematical Olympiad III 203216
- Mathematical contests and competitions 209222
- Mathematical contests 211224
- Mathematical auction 213226
- Mathematical hockey 219232
- Mathematical Olympiads 223236
- Short entertaining math games 229242
- More teaching advice 233246
- How to be a great math circle teacher 235248
- Math circle day-to-day 239252
- More questions? 247260
- Solutions 249262
- Bibliography 335348
- Back Cover Back Cover1354