Using insight gained from many years of doing Number Talks with students of all ages, Cathy and Ruth address questions to ask during Number Talks, teacher moves that turn the thinking over to students, the mathematics behind the various strategies, and ways to overcome bumps in the road. If you’ve been looking for ways to transform your mathematics classroom—to bring sense-making and divergent thinking to the foreground, to bring the Standards for Mathematical Practice to life, and to bring joy back into your instruction—this book is for you.
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About the Author
Cathy Humphreys is currently a doctoral student at Stanford University, where she studies mathematics teaching and learning. She has taught grades 2-12 in the California public schools for thirty years, has worked as an instructor for the Mathematics Education Collaborative and for Math Solutions, and has served as a mathematics coach for the Silicon Valley Mathematics Initiative. She is thecoauthor, with Jo Boaler, ofConnecting Mathematical Ideas (Heinemann, 2005).
Ruth Parker is a former classroom teacher and has spent over 20 years leading professional development for math teachers in grades K-12. She is currently the CEO of the Mathematics Education Collaborative, preparing the next generation of mathematics teacher leaders for Washington state.
She received her master's degree and her Ph.D. from the University of Oregon. "Nothing is more satisfying than watching my students develop a sense of agency, a curiosity about new mathematical ideas, and an awareness that they have mathematical ideas worth sharing," Ruth says of her love of teaching.
Ruth loves to hike, especially in the Pacific Northwest, and playing with her grandchildren.
Table of Contents
Foreword: The Wonder of Number Talks Jo Boaler vii
Chapter 1 What Are Number Talks? Why Are They So Important? 5
Chapter 2 Getting Number Talks Started 11
Chapter 3 Guiding Principles for Enacting Number Talks in the Classroom 25
Prelude to the Operations 33
Chapter 4 Subtraction Across the Grades 37
Chapter 5 Multiplication Across the Grades 59
Chapter 6 Addition Across the Grades 79
Chapter 7 Division Across the Grades 93
Chapter 8 Making Sense of Fractions (and Decimals and Percent) 107
Chapter 9 Number Talks Can Spark Investigations 133
Chapter 10 Managing Bumps in the Road 163
Chapter 11 Moving Forward 177
Appendix A 183
Appendix B 185
Appendix C 187