Preface 9
Introduction 13
Math Circles and More: Celebrating Math
Section Introduction 19
The Art of Inquiry: A Very Young Math Circle, Julia Brodsky 23
Puzzle: Imbalance Abundance, Paul Salomon 29
Rejoicing in Confusion, Maria Droujkova 31
Game: Parent Bingo, Maria Droujkova 35
Parents and Kids Together, Sue VanHattum 37
Puzzle: Foxes and Rabbits, Sue VanHattum 45
On Noticing and Fairness: A Mindful Math Circle, Rodi Steinig 47
Puzzle: Is this for real? Avery Pickford 52
Bionic Algebra Adventures, Colleen King 53
Story: Alexandria Jones in Egypt, Denise Gaskins 58
The Oakland Math Circle: A First Iteration, Jamylle Carter 63
Game: Fantastic Four, Exploratorium Staff 69
A Culture of Enthusiasm for Math, Amanda Serenevy 71
Activity: Vertices, Edges, and Faces, Amanda Serenevy 74
Seized by a Good Idea, Stephen Kennedy 75
Puzzle: Math Without Words #1, James Tanton 81
A Prison Math Circle, Bob and Ellen Kaplan 83
Puzzle: Math Without Words #2, James Tanton 86
Agents of Math Circles, Mary O’Keeffe 89
Puzzle: Food for Thought, Jan Nordgreen 94
The Julia Robinson Mathematics Festival, Nancy Blachman 95
Saint Mary’s Math Contest Sampler, Br. Alfred Brousseau 97
Exploration: Candy Conundrum, Joshua Zucker 97
A Young Voice: Consider the Circle, Elisa Vanett 99
Homeschoolers Do Math
Section Introduction 103
Tying It All Together, Julie Brennan 105
Game: Place Value Risk, Sue VanHattum 112
Advice from Living Math Forum, Julie Brennan 113
Puzzles: Deep Arithmetic, Sue VanHattum 119
Transitioning to Living Math, Jimmie Lanley 121
Game: Math Card War, Denise Gaskin 126
At the Eye of the Hurricane, Melanie Hayes 129
Puzzle: Self-Referential Number Square, Jack Webster 142
One and a Quarter Pizzas, Holly Graff 143
Game: Function Machine, Sue VanHattum 148
The Math Haters Come Around, Tiffani Bearup 149
Puzzle: Magic Hexagon, Michael Hartley 155
Mapping the Familiar, Malke Rosenfeld 157
Game: Racetrack, Sue VanHattum 159
Radically Sensible Ideas, Pam Sorooshian 161
Game: Dotsy, Leonard Pitt, Cinda Heeren, Tom Magliery 168
A Young Voice: An Unschooler at College, Lavinia Karl 169
Passionate Teachers: In the Classroom
Section Introduction 173
Teach Less, Learn More, Sue VanHattum 177
Game: Modular Skirmish, John Golden 181
Trust, Montessori Style, Pilar Bewley 185
Puzzle: Measuring With Paper, by B. Zolkower, D. Abrahamson 190
Math In Your Feet, Malke Rosenfeld 191
Game: Fizz Buzz, by Michael Hartley 197
Dinosaur Math, Michelle Martin 199
Puzzle: Alien Math, Amanda Serenevy 201
Better Teaching Through Blogging, Kate Nowak 203
Activity: Candy Launcher, Sean Sweeney 208
Background:Using Math to Describe Gravity, Sue VanHattum 213
Putting Myself in My Students’ Shoes, Allison Cuttler 217
Puzzle: What Number Am I? Jonathan Halabi 220
An Argument Against the Real World, Friedrich Knauss 221
Puzzle: Octopus Logic, Tanya Khovanova 223
Area of a Circle, Fawn Nguyen 225
Exploration: Coloring Cubes, Joshua Zucker 227
Textbook Free: Kicking the Habit, Chris Shore 229
Activity: Guess My Dice, Kaleb Allinson 231
Math Is Not Linear, Alison Forster 233
Puzzle: A Little Math Magic, Jonathan Halabi 239
A young voice: Geometric Delights, Luyi Zhang 241
Resources
Introduction and Internet Resources 247
Math and the Electronic Commons, Maria Droujkova 252
Creating Math Teachers at Play, Denise Gaskins 255
Math Playground: Designing Games for Real Learning, Colleen King 260
Supporting Girls, Sue VanHattum 266
How to Become Invisible, Bob Kaplan 280
Starting a Math Club, Maria Droujkova, Sue VanHattum 282
Conclusion 285
Sue’s Book Picks 297
Hints for Puzzles 306
Meet the Authors 311
Acknowledgements 320
Index 322
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