Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 2

Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 2

Williams, Cathy; Munson, Jen; Boaler, Jo

John Wiley & Sons Inc

02/2022

288

Mole

Inglês

9781119358633

15 a 20 dias

774

Descrição não disponível.
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

Note on Materials 17

Manipulatives and Materials Used in This Book 18

Activities for Building Norms 21

Encouraging Good Group Work 21

How Many Do You See? Learning to Reason, Convince, and Pose Questions 23

? Big Idea 1: Partitioning Shapes into Equal Parts 31

Visualize: Equal or Same? 33

Play: Four Fourths 39

Investigate: Rows and Columns 44

? Big Idea 2: Making and Using Equal Groups 53

Visualize: The Groups Inside 55

Play: Skipping down the Hall 61

Investigate: Array Museum 67

? Big Idea 3: What Is 100? 73

Visualize: The Many Ways to See 100 75

Play: Scoop and Count 82

Investigate: Making a Dollar, Revisited 86

? Big Idea 4: Composing and Decomposing Numbers 91

Visualize: Array Talks 93

Play: Which Is More? 103

Investigate: Coin Grab 114

? Big Idea 5: Using Patterns in Place Value 119

Visualize: What's in Your 12? 121

Play: Reach for It! 126

Investigate: Window Mysteries 136

? Big Idea 6: Thinking on the Number Line 145

Visualize: Long Lives 148

Play: Life- Span Puzzles 157

Investigate: Living on the Number Line 166

? Big Idea 7: Rulers and Clocks Are Number Lines 173

Visualize: Noticing the Ruler and Clock 175

Play: Walking the Clock 181

Investigate: A Sea of Sharks 187

? Big Idea 8: Using Units to Estimate 205

Visualize: Foot by Foot 207

Play: Length Scavenger Hunt 216

Investigate: School- Day Walkabout 222

? Big Idea 9: Using Data to Visualize and Wonder about Our World 229

Visualize: Fruit around the World 231

Play: Eat Your Roots 238

Investigate: Dear Data 243

Appendix 253

Grid Paper 254

About the Authors 255

Acknowledgments 257

Index 259
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