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A Festival of Mathematics: A Sourcebook
 
A co-publication of the AMS and Mathematical Sciences Research Institute
A Festival of Mathematics
Softcover ISBN:  978-1-4704-5338-1
Product Code:  MCL/28
List Price: $50.00
MAA Member Price: $45.00
AMS Member Price: $40.00
eBook ISBN:  978-1-4704-6955-9
Product Code:  MCL/28.E
List Price: $50.00
MAA Member Price: $45.00
AMS Member Price: $40.00
Softcover ISBN:  978-1-4704-5338-1
eBook: ISBN:  978-1-4704-6955-9
Product Code:  MCL/28.B
List Price: $100.00 $75.00
MAA Member Price: $90.00 $67.50
AMS Member Price: $80.00 $60.00
A Festival of Mathematics
Click above image for expanded view
A Festival of Mathematics: A Sourcebook
A co-publication of the AMS and Mathematical Sciences Research Institute
Softcover ISBN:  978-1-4704-5338-1
Product Code:  MCL/28
List Price: $50.00
MAA Member Price: $45.00
AMS Member Price: $40.00
eBook ISBN:  978-1-4704-6955-9
Product Code:  MCL/28.E
List Price: $50.00
MAA Member Price: $45.00
AMS Member Price: $40.00
Softcover ISBN:  978-1-4704-5338-1
eBook ISBN:  978-1-4704-6955-9
Product Code:  MCL/28.B
List Price: $100.00 $75.00
MAA Member Price: $90.00 $67.50
AMS Member Price: $80.00 $60.00
  • Book Details
     
     
    MSRI Mathematical Circles Library
    Volume: 282022; 208 pp
    MSC: Primary 97;

    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.

    Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

    Readership

    This book is for facilitators interested in running Math Circles or Julia Robinson Math Festivals.

  • Table of Contents
     
     
    • Foreword
    • Preface
    • Acknowledgements
    • Part 1. Activity Guides
    • Chapter 1. Color Triangle Challenge
    • Some Initial Explorations
    • Toward a Generalization
    • Further Generalizations
    • Applying Arithmetic
    • Connection to the Binomial Coefficients
    • Historical Notes
    • Chapter 2. Magic Squares and Algebra
    • Constructing a Magic Square
    • The Geometry of Magic Squares
    • Some Facts about Groups
    • Uniqueness of the Magic Square: Some Combinatoric Results
    • New Magic Squares from Old
    • The Vector Space of a Magic Square
    • Magic Squares and Tic-tac-toe
    • Historical Notes
    • Chapter 3. Nim
    • One-Row Nim
    • Nim Variants
    • Two-Row Nim
    • Historical Notes
    • Chapter 4. Palindrome Grab!
    • The Basic Game
    • The Greedy Game
    • The Patient Game
    • Historical Notes
    • Chapter 5. To Twos, Too! Two Twos? More?
    • SDP2 Representations
    • SP2 Representations
    • S2P2 Representations
    • Some Extensions
    • Historical Notes
    • Chapter 6. Prisoner Puzzle
    • Last Man Sitting
    • Lucky 7?
    • Changing of the Guard
    • Historical Notes
    • Chapter 7. Broken Calculators
    • Calculator 1
    • Calculator 2
    • Calculator 3
    • Calculator 4
    • Calculator 5
    • Historical Notes
    • Chapter 8. Dominoes and Checkerboards
    • Constructing Tilings
    • Counting Tilings
    • Historical Notes
    • Chapter 9. Fair Division
    • Rectangles, Triangles, Squares
    • Quadrilaterals and Squares
    • Historical Notes
    • Chapter 10. Jumping Julia
    • Mazes and Graph Theory
    • Make Your Own Maze
    • Historical Notes
    • Part 2. Activity Handouts
    • Chapter 1. Color Triangle Challenge
    • Some Initial Explorations
    • Toward a Generalization
    • Applying Arithmetic
    • Chapter 2. Magic Squares and Algebra
    • Constructing a Magic Square
    • The Geometry of Magic Squares
    • Uniqueness of the Magic Square: Some Combinatoric Results
    • New Magic Squares from Old
    • Chapter 3. Nim
    • One-Row Nim
    • Nim Variants
    • Two-Row Nim
    • Chapter 4. Palindrome Grab!
    • The Basic Game
    • The Greedy Game
    • The Patient Game
    • Chapter 5. To Twos, Too! Two Twos? More?
    • SDP2 Representations
    • SP2 Representations
    • S2P2 Representations
    • Some Extensions
    • Chapter 6. Prisoner Puzzle
    • Last Man Sitting
    • Lucky 7?
    • Changing of the Guard
    • Chapter 7. Broken Calculators
    • Calculator 1
    • Calculator 2
    • Calculator 3
    • Calculator 4
    • Calculator 5
    • Chapter 8. Dominoes and Checkerboards
    • Constructing Tilings
    • Counting Tilings
    • Chapter 9. Fair Division
    • Rectangles, Triangles, Squares
    • Quadrilaterals and Squares
    • Chapter 10. Jumping Julia
    • Mazes and Graph Theory
    • Make Your Own Maze
  • Reviews
     
     
    • There are a number of books available with intriguing problems for students (and others) to puzzle over, but you will want to make room in your bookshelf for one more.

      Steve Benson, Lesley University
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 282022; 208 pp
MSC: Primary 97;

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.

Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

Readership

This book is for facilitators interested in running Math Circles or Julia Robinson Math Festivals.

  • Foreword
  • Preface
  • Acknowledgements
  • Part 1. Activity Guides
  • Chapter 1. Color Triangle Challenge
  • Some Initial Explorations
  • Toward a Generalization
  • Further Generalizations
  • Applying Arithmetic
  • Connection to the Binomial Coefficients
  • Historical Notes
  • Chapter 2. Magic Squares and Algebra
  • Constructing a Magic Square
  • The Geometry of Magic Squares
  • Some Facts about Groups
  • Uniqueness of the Magic Square: Some Combinatoric Results
  • New Magic Squares from Old
  • The Vector Space of a Magic Square
  • Magic Squares and Tic-tac-toe
  • Historical Notes
  • Chapter 3. Nim
  • One-Row Nim
  • Nim Variants
  • Two-Row Nim
  • Historical Notes
  • Chapter 4. Palindrome Grab!
  • The Basic Game
  • The Greedy Game
  • The Patient Game
  • Historical Notes
  • Chapter 5. To Twos, Too! Two Twos? More?
  • SDP2 Representations
  • SP2 Representations
  • S2P2 Representations
  • Some Extensions
  • Historical Notes
  • Chapter 6. Prisoner Puzzle
  • Last Man Sitting
  • Lucky 7?
  • Changing of the Guard
  • Historical Notes
  • Chapter 7. Broken Calculators
  • Calculator 1
  • Calculator 2
  • Calculator 3
  • Calculator 4
  • Calculator 5
  • Historical Notes
  • Chapter 8. Dominoes and Checkerboards
  • Constructing Tilings
  • Counting Tilings
  • Historical Notes
  • Chapter 9. Fair Division
  • Rectangles, Triangles, Squares
  • Quadrilaterals and Squares
  • Historical Notes
  • Chapter 10. Jumping Julia
  • Mazes and Graph Theory
  • Make Your Own Maze
  • Historical Notes
  • Part 2. Activity Handouts
  • Chapter 1. Color Triangle Challenge
  • Some Initial Explorations
  • Toward a Generalization
  • Applying Arithmetic
  • Chapter 2. Magic Squares and Algebra
  • Constructing a Magic Square
  • The Geometry of Magic Squares
  • Uniqueness of the Magic Square: Some Combinatoric Results
  • New Magic Squares from Old
  • Chapter 3. Nim
  • One-Row Nim
  • Nim Variants
  • Two-Row Nim
  • Chapter 4. Palindrome Grab!
  • The Basic Game
  • The Greedy Game
  • The Patient Game
  • Chapter 5. To Twos, Too! Two Twos? More?
  • SDP2 Representations
  • SP2 Representations
  • S2P2 Representations
  • Some Extensions
  • Chapter 6. Prisoner Puzzle
  • Last Man Sitting
  • Lucky 7?
  • Changing of the Guard
  • Chapter 7. Broken Calculators
  • Calculator 1
  • Calculator 2
  • Calculator 3
  • Calculator 4
  • Calculator 5
  • Chapter 8. Dominoes and Checkerboards
  • Constructing Tilings
  • Counting Tilings
  • Chapter 9. Fair Division
  • Rectangles, Triangles, Squares
  • Quadrilaterals and Squares
  • Chapter 10. Jumping Julia
  • Mazes and Graph Theory
  • Make Your Own Maze
  • There are a number of books available with intriguing problems for students (and others) to puzzle over, but you will want to make room in your bookshelf for one more.

    Steve Benson, Lesley University
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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