**MSRI Mathematical Circles Library**

Volume: 5;
2011;
300 pp;
Softcover

MSC: Primary 00; 97;

**Print ISBN: 978-0-8218-6873-7
Product Code: MCL/5**

List Price: $25.00

Individual Price: $18.75

**Electronic ISBN: 978-1-4704-1616-4
Product Code: MCL/5.E**

List Price: $25.00

Individual Price: $18.75

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# Math from Three to Seven: The Story of a Mathematical Circle for Preschoolers

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*Alexander Zvonkin*

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

This book is a captivating account of a
professional mathematician's experiences conducting a math circle for
preschoolers in his apartment in Moscow in the 1980s. As anyone who has
taught or raised young children knows, mathematical education for
little kids is a real mystery. What are they capable of? What should
they learn first? How hard should they work? Should they even
“work” at all? Should we push them, or just let them be?
There are no correct answers to these questions, and the author deals
with them in classic math-circle style: he doesn't ask and then answer
a question, but shows us a problem—be it mathematical or
pedagogical—and describes to us what happened. His book is a
narrative about what he did, what he tried, what worked, what failed,
but most important, what the kids experienced.

This book does not purport to show you how to create precocious
high achievers. It is just one person's story about things he tried
with a half-dozen young children. Mathematicians, psychologists,
educators, parents, and everybody interested in the intellectual
development in young children will find this book to be an
invaluable, inspiring resource.

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

Parents and teachers interested in working on math with young children.

#### Table of Contents

# Table of Contents

## Math from Three to Seven: The Story of a Mathematical Circle for Preschoolers

- Cover Cover11
- Title page i2
- Contents iii4
- Foreword to the American edition vii8
- Introduction 116
- The first session: Narrative and reflections 1530
- The boys’ math circle, year one 3550
- Children and (⁵₂): The story of one problem 6984
- The boys’ math circle, year two 8398
- Notation, abstraction, mathematics, and language 137152
- The boys’ math circle, year three 149164
- The boys’ math circle, final six months 195210
- At home and in school 217232
- Photos of children 239254
- The girls’ math circle, year one 243258
- The girls’ math circle, year two 277292
- This is not an epilogue 299314
- Index of math, pedagogy, and psychology 303318
- Back Cover Back Cover1321