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

Anna Burago Prime Factor Math Circle, Seattle, WA
A co-publication of the AMS and Mathematical Sciences Research Institute
Available Formats:
Softcover 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
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $37.50 Click above image for expanded view Mathematical Circle Diaries, Year 1: Complete Curriculum for Grades 5 to 7 Anna Burago Prime Factor Math Circle, Seattle, WA A co-publication of the AMS and Mathematical Sciences Research Institute Available Formats:  Softcover 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 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$37.50
• Book Details

MSRI Mathematical Circles Library
Volume: 112012; 335 pp
MSC: 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 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.

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
• Short entertaining math games
• More teaching advice
• How to be a great math circle teacher
• Math circle day-to-day
• More questions?
• Solutions
• Bibliography

• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 112012; 335 pp
MSC: 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 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.

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