Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade K - Cathy Williams

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Résumé :

Engage Your Students in Visual, Creative Explorations of the Big Ideas in Mathematics

The Mindset Mathematics series offers a unique, research-based visual approach to exploring the big ideas in mathematics, which is essential to future mathematics success. This hands-on resource is for any teacher who wants to engage their kindergarten students in reasoning and persisting through problems, and provides activities that will engage students' interest and show them the many ways that mathematics is important in their lives.

During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message: Teachers want to incorporate more brain science into their mathematics instruction, but they need guidance in the techniques that work best to promote learning of mathematics concepts. In this much-needed volume, the authors clearly show what the big ideas are in Kindergarten, why they are important to understand, and how students can best learn those big ideas.

Filled with engaging questions, open-ended tasks, and four-color visuals, Mindset Mathematics is designed to be flexible so that it can be used with any current curriculum. All of the activities and tasks include instructions for launching in the classroom, suggestions for facilitating dynamic discussions, and guidance for what to look for in student thinking as it develops....

Biographie:

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