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