(Ebook PDF) A Festival of Mathematics A Sourcebook 1st Edition by Alice Peters, Mark Saul 147045338X 978-1470453381 full chapters

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Product details:

ISBN-10 ‏ : ‎ 147045338X

ISBN-13 ‏ : ‎ 978-1470453381

Author:  Alice Peters, Mark Saul  

This book, inspired by the Julia Robinson Mathematics Festival, aims to engage students in mathematical discovery through fun and approachable problems that reveal deeper mathematical ideas. Each chapter starts with a gentle on-ramp, such as a game or puzzle requiring no more than simple arithmetic or intuitive concepts of symmetry. Follow-up problems and activities require intuitive logic and reveal more sophisticated notions of strategy and algorithms. Projects are designed so that progress is more important than any end goal, ensuring that students will learn something significant no matter how far they get. The process of understanding the questions and how they build on one another becomes an exhilarating ride, revealing serious mathematics before the reader is aware of the transition. This book can be used in classrooms, math clubs, after school activities, homeschooling, and parent/student gatherings and is appropriate for students of age 8 to 18, as well as for teachers wanting to hone their skills. 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.

 

A Festival of Mathematics: A Sourcebook 1st Table of contents:

Chapter 1. Color Triangle Challenge 3

SomeInitial Explorations 4

Towarda Generalization 9

Further Generalizations 13

Applyingrithmetic 16

Connection to the Binomial Coefficients 18

Historical Notes 21

Chapter2 Magic Squares and Algebra 23

Constructinga Magic Square 23

The Geometry of Magic Squares 31

Some Facts about Groups 34

Uniqueness of the Magic Square: Some Combinatoric Results 36

New Magic Squares from Old 37

The Vector Space of a Magic Square 41

Magic Squares and Tic-tac-toe 49

Historical Notes 50

Chapter3.Nim53

One-Row Nim53

Nim Variants 61

Two-Row Nim 63

Historical Notes 64

Chapter 4. Palindrome Grab 67

The Basic Game67

The Greedy Game

Chapter 5.To Twos, Too Two Twos? More?SDPRepresentations

SPRepresentations

S2P2Representations

Some Extensions Historical Notes

Chapter 6. Prisoner Puzzle

Last Man Sitting 

Lucky 7?

Changing of the Guard Historical Notes

Chapter7.BrokenCalculators

Calculator1

Calculator2

Calculator3

Calculator4

Calculator5

 

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