Bright, Brave, Open Minds

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Bright Brave Open Minds

By Julia Brodsky, March 2016, 119 pages, ISBN 978-0-9776939-8-6

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What’s Inside the Book?

Get a taste! Download 6 fabulous activities from the book, pages 22-31

I will share with you what I have learned as I tinkered with teaching problem solving to curious young children, ages six to eight. The purpose of this book is to invite you to experiment with your own children or students, without any preconceived notions of how the outcome will look. Instead, allow your personal taste and the children’s feedback to guide you.

Julia Brodsky, author, in the book introduction

It is a commonplace of teaching that you first try to teach the way you were taught. And so people pioneering math circles or informal learning situations often start out in the wrong direction, trying to apply to these situations the teaching methodologies that they experienced in formal classrooms. Julia Brodsky does a wonderful job describing other ways to teach. And maybe ‘teach’ is the wrong verb: other ways to guide students in learning from and enjoying mathematics. The mathematical examples are tailored to encourage children’s exploration.

Mark Saul, Director, Center for Mathematical Talent, Courant Institute, NYU

What I loved about this book is that it gave me a chance to impart so much more than information to my children – I soon understood that the underlying purpose was not necessarily mastery of facts, but an opportunity to teach them how to think, that it is acceptable to be wrong, and that sometimes there is more than one answer to a problem.

Angela Harris, co-founder of Mosaic Freeschool, a homeschooling mom

Parent Bingo Printable

Print this Parent Bingo to play as you observe children’s mathematical inquiry.

About the Author

Julia Brodsky is a homeschooling mom with three naughty and curious kids. When she is not with her family, she works as a rocket scientist for NASA Goddard, runs a weekly Art of Inquiry math circle for elementary school students, organizes the annual Math Kangaroo Olympiad for Montgomery County kids—and still keeps some sanity. She is constantly fascinated by the way children learn and solve problems. Julia grew up in Russia, where she was a mediocre student in one
of the best math magnet schools of St. Petersburg. Later, she had a lot of fun working as an International Space Station astronauts’ instructor at Johnson Space Center. Julia also enjoys writing poetry, hiking, and watching somebody else working instead of her.

Table of Contents

Foreword1
My math circle values5
Secrets of the trade9
Topics14
Introduction to thinking15
Strange statements32
Tiling puzzles41
Infinity63
Symmetry76
Lateral thinking87
Festival99
Some advice for parents107
Grown-up participants109
Appendix A: Debate rules111
Appendix B: Stuck?113
Appendix C: Parent Bingo114
Appendix D: Resources116
Extra resources per topic117
Summary119

And One More Thing

Our book will be published under Creative Commons license. It means that people all over the world will be able to access its content, translate it into different languages – and share their ideas based on the book with you. The Creative Commons site Team Open features Natural Math in its celebration of innovative projects in education.