Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade K (Mindset Mathematics)

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Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade K (Mindset Mathematics)

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 256 p.
  • 言語 ENG
  • 商品コード 9781119357605
  • DDC分類 372.7049

Full Description

Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the kindergarten-grade level through visualization, play, and investigation.

During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that:



There is no such thing as a math person - anyone can learn mathematics to high levels.
Mistakes, struggle and challenge are the most important times for brain growth.
Speed is unimportant in mathematics.
Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics.

With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.

Contents

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