Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade K

JO BOALER is a professor of mathematics education at Stanford University and co-founder and faculty director of youcubed. She serves as an advisor to several Silicon Valley companies and is a White House presenter on girls and STEM (Science, Technology, Engineering, and Math). The author of seven books, including Mathematical Mindsets, and numerous research articles, she is a regular contributor to news and radio in the United States and England. JEN MUNSON is an assistant professor of learning sciences at Northwestern University, a professional developer, and a former classroom teacher. She received her PhD in mathematics education from Stanford University. Her research focuses on responsive, equitable mathematics instruction. CATHY WILLIAMS is the co-founder and the executive director of youcubed at Stanford University. Before working at youcubed, she was a high school math teacher and worked in mathematics curriculum and administration at the county and district levels in California.

• Introduction 1Low-Floor, High-Ceiling Tasks 2Youcubed Summer Camp 3Memorization versus Conceptual Engagement 4Mathematical Thinking, Reasoning, and Convincing 5Big Ideas 9Structure of the Book 9A Note on the Structure of Kindergarten 15Note on Materials 17Manipulatives and Materials Used in This Book 17Big Idea 1: Understanding the Physical Quantity of Number 21Count a Collection 23How Many Do You See? 30Making a Counting Book 40Big Idea 2: Using Fingers as Numbers 47Feeling Fingers 49Show Me with Your Fingers 64Hand Mirrors 70Big Idea 3: Talking about and Making Shapes 77Talking about Shapes 79Make a Shape 93Building Blocks 97Big Idea 4: Seeing Numbers inside of Numbers 103Dot Talks 105Snap It! 118Which is More? 123Big Idea 5: Putting Numbers Together 135Growing Bigger and Bigger 137Roll the Dice 144Foot Parade 151Big Idea 6: Describing and Sorting Objects 159Sorting Supplies 161Sorting Emojis 168Sorting Buttons 174Big Idea 7: Seeing and Making Patterns Everywhere 181A World of Patterns 184DIY Patterns 195Kinder Dance Party 200Big Idea 8: Stretching Counting toward 100 205Counting Larger Collections 207Making a Collection 213Hundred Chart Patterns 219Appendix 231About the Authors 235Acknowledgments 237Index 239