[eBook Code] Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade K (eBook Code, 1st)

Introduction 1

Low-Floor, High-Ceiling Tasks 2

Youcubed Summer Camp 3

Memorization versus Conceptual Engagement 4

Mathematical Thinking, Reasoning, and Convincing 5

Big Ideas 9

Structure of the Book 9

A Note on the Structure of Kindergarten 15

Note on Materials 17

Manipulatives and Materials Used in This Book 17

Big Idea 1: Understanding the Physical Quantity of Number 21

Count a Collection 23

How Many Do You See? 30

Making a Counting Book 40

Big Idea 2: Using Fingers as Numbers 47

Feeling Fingers 49

Show Me with Your Fingers 64

Hand Mirrors 70

Big Idea 3: Talking about and Making Shapes 77

Talking about Shapes 79

Make a Shape 93

Building Blocks 97

Big Idea 4: Seeing Numbers inside of Numbers 103

Dot Talks 105

Snap It! 118

Which is More? 123

Big Idea 5: Putting Numbers Together 135

Growing Bigger and Bigger 137

Roll the Dice 144

Foot Parade 151

Big Idea 6: Describing and Sorting Objects 159

Sorting Supplies 161

Sorting Emojis 168

Sorting Buttons 174

Big Idea 7: Seeing and Making Patterns Everywhere 181

A World of Patterns 184

DIY Patterns 195

Kinder Dance Party 200

Big Idea 8: Stretching Counting toward 100 205

Counting Larger Collections 207

Making a Collection 213

Hundred Chart Patterns 219

Appendix 231

About the Authors 235

Acknowledgments 237

Index 239