**MSRI Mathematical Circles Library**

Volume: 24;
2019;
281 pp;
Softcover

MSC: Primary 00; 97;

**Print ISBN: 978-1-4704-5387-9
Product Code: MCL/24**

List Price: $25.00

AMS Member Price: $20.00

MAA Member Price: $22.50

**Electronic ISBN: 978-1-4704-5450-0
Product Code: MCL/24.E**

List Price: $25.00

AMS Member Price: $20.00

MAA Member Price: $22.50

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#### Supplemental Materials

# Inspiring Mathematics: Lessons from the Navajo Nation Math Circles

Share this page *Edited by *
*Dave Auckly; Bob Klein; Amanda Serenevy; Tatiana Shubin*

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

The people of the Navajo Nation know
mathematics education for their children is essential. They were
joined by mathematicians familiar with ways to deliver problems and a
pedagogy that, through exploration, shows the art, joy and beauty in
mathematics. This combined effort produced a series of Navajo Math
Circles—interactive mathematical explorations—across the Navajo
Reservation.

This book contains the mathematical details of that effort. Between
its covers is a thematic rainbow of problem sets that were used in
Math Circle sessions on the Reservation. The problem sets are good for
puzzling over and exploring the mathematical ideas within. They will
help nurture curiosity and confidence in students.

The problems come with suggestions for pacing, for adjusting the
problems to be more or less challenging, and for different approaches
to solving them. This book is a wonderful resource for any teacher
wanting to enrich the mathematical lives of students and for anyone
curious about mathematical thinking outside the box.

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

Organizers and participants of mathematical circles and other extra-curriculum activities.

#### Reviews & Endorsements

The people of the Navajo Nation understand that mathematics plays a key role in education. Their passion for educating their children about mathematics takes many avenues through application problems, pedagogy, arts, and the joy and beauty of mathematics. The effort of the community has produced an eye-opening series of Navajo Math Circles that are rich with interactive self-discovery projects for students used across the entire Navajo Reservation. This book is filled with great problems and shows the creativity not only in the making of the problems but the quality and different approaches of the solutions. They are challenging, but they lead the students to exchange ideas with other students, promote collaboration, critical thinking skills, make connections between mathematical topics, and make friendships.

-- Peter Olszewski, MAA Reviews

#### Table of Contents

# Table of Contents

## Inspiring Mathematics: Lessons from the Navajo Nation Math Circles

- Foreword (40tocDr. Henry Fowler) 88
- Introduction 1212
- The Scripts 2020
- Grid Power (40tocContributed by Tatiana Shubin) 2424
- What is the sum?—A 5-card Magic Trick (40tocContributed by Gabriella Pinter) 4444
- Decanting Problems40toc (A.K.A Euclidean Algorithm) (40tocContributed by Tatiana Shubin and Elgin Johnston) 5050
- Bean Bag Tossing (40tocContributed by Amanda Serenevy) 6666
- Toilet Paper Math (40tocContributed by Phil Yasskin and Dave Auckly) 8080
- Golomb Rulers (40tocContributed by Elgin Johnston) 9494
- The Cookie Monster Problem (40tocContributed by Gabriella Pinter) 108108
- Math Blocks (40tocContributed by Dave Auckly) 122122
- Counting Diagonals (40tocContributed by Tatiana Shubin) 142142
- Liar’s Bingo (40tocContributed by Bob Klein) 156156
- Parity and Other Invariants (40tocContributed by Bob Klein and Tatiana Shubin) 168168
- Pancake Problem (40tocContributed by Rebecca Bycofski, Bob Klein, and Sierra Knavel) 190190
- The \040𝐇-𝐋 Protein Folding Model (40tocContributed by Amanda Serenevy) 202202
- SOMA and Friends (40tocContributed by Dave Auckly and Stan Isaacs) 218218
- How To Fold A Tie Into Sevenths (40tocContributed by James Tanton) 238238
- Boomerang Fractions (40tocContributed by Amanda Serenevy) 254254
- From Hats to Codes (40tocContributed by Joe Buhler and Bob Klein) 262262
- From a Magic Card Trick to Hall’s Theorem (40tocContributed by M.\nobreakspace\040Kawski and H.\nobreakspace\040A.\nobreakspace\040Kierstead) 282282