**MSRI Mathematical Circles Library**

Volume: 13;
2014;
166 pp;
Softcover

MSC: Primary 97;

**Print ISBN: 978-1-4704-1695-9
Product Code: MCL/13**

List Price: $25.00

Individual Price: $18.75

**Electronic ISBN: 978-1-4704-1890-8
Product Code: MCL/13.E**

List Price: $25.00

Individual Price: $18.75

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#### Supplemental Materials

# Math Circles for Elementary School Students

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*Natasha Rozhkovskaya*

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

The main part of this book describes the first semester of the
existence of a successful and now highly popular program for
elementary school students at the Berkeley Math Circle. The topics
discussed in the book introduce the participants to the basics of many
important areas of modern mathematics, including logic, symmetry,
probability theory, knot theory, cryptography, fractals, and number
theory. Each chapter in the first part of this book consists of two
parts. It starts with generously illustrated sets of problems and
hands-on activities. This part is addressed to young readers who can
try to solve problems on their own or to discuss them with adults.
The second part of each chapter is addressed to teachers and
parents. It includes comments on the topics of the lesson, relates
those topics to discussions in other chapters, and describes
the actual reaction of math circle participants to the proposed
activities.

The supplementary problems that were discussed at workshops of Math
Circle at Kansas State University are given in the second part of the
book.

The book is richly illustrated, which makes it attractive to its young
audience.

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

Math educators, teachers, mathematicians, instructors of math circles, and parents interested in general mathematical education.

#### Reviews & Endorsements

The book is richly illustrated, which makes it attractive to its young audience.

-- Zentralblatt MATH

Why are there so few math circles,
particularly for younger children? One of the reasons is the belief that very
young kids are simply not ready for complex math. Another reason is that
finding deep and engaging math activities, adapted for this younger audience,
is itself a challenge. Natasha Rozhkovskaya's new book, *Math Circles for
Elementary School Students*, helps deal with both these difficulties.

-- Moebuis Noodles

#### Table of Contents

# Table of Contents

## Math Circles for Elementary School Students

- Cover Cover11
- Title page iii4
- Copyright iv5
- Dedication v6
- Contents vii8
- Foreword xi12
- Acknowledgments xv16
- Part I: Berkeley Math Circle 118
- Preface: Berkeley 2009 320
- Lesson 1 522
- Lesson 2 1128
- Lesson 3 1734
- Lesson 4 2946
- Lesson 5 3754
- Lesson 6 4562
- Lesson 7 5370
- Lesson 8 5976
- Lesson 9 6784
- Lesson 10 7390
- Lesson 11 83100
- Lesson 12 89106
- Lesson 13 101118
- Lesson 14 111128
- Lesson 15 119136
- Part II: Manhattan Math Circle Seminar 125142
- Preface: Manhattan 2011 127144
- Counting rhymes 129146
- Arithmetic 133150
- More coded pictures 137154
- Make your own problem 141158
- Cut the square 143160
- Siege of the fortress 147164
- More logic problems 149166
- Estimates 151168
- Problems with unknowns 153170
- Knots, links, and paths 155172
- How old are you? 159176
- No solutions 161178
- The pigeon hole principle 165182
- Back Cover Back Cover1185