Softcover ISBN:  9780821887455 
Product Code:  MCL/11 
List Price:  $25.00 
Individual Price:  $18.75 
Electronic ISBN:  9780821894859 
Product Code:  MCL/11.E 
List Price:  $25.00 
Individual Price:  $18.75 

Book DetailsMSRI Mathematical Circles LibraryVolume: 11; 2012; 335 ppMSC: Primary 97; 00;
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 questiondriven approach and emphasis on creative problemsolving, 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 knowhow of running a mathematical circle. The curriculum, which is based on the rich and longstanding 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.ReadershipTeachers, parents, research mathematicians, undergraduate and graduate students interested in teaching extracurricular math to school children.

Table of Contents

Chapters

Title page

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 daytoday

More questions?

Solutions

Bibliography


Additional Material

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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 questiondriven approach and emphasis on creative problemsolving, 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 knowhow of running a mathematical circle. The curriculum, which is based on the rich and longstanding 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.
Teachers, parents, research mathematicians, undergraduate and graduate students interested in teaching extracurricular math to school children.

Chapters

Title page

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 daytoday

More questions?

Solutions

Bibliography