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Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 1

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  • Edition: 1st
  • Format: Paperback
  • Copyright: 2021-01-27
  • Publisher: Jossey-Bass
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Supplemental Materials

What is included with this book?


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 first-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.

Author Biography

Dr. Jo Boaler is a professor of mathematics education at Stanford University. The author of seven books and numerous research articles, 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). She is a regular contributor to news and radio in the United States and England and recently formed youcubed.org to give teachers and parents the resources and ideas they need to inspire and excite students about mathematics. Her previous book with Wiley, Mathematical Mindsets (ISBN: 9780470894521, 10/15), has sold over 130,000 copies.

Cathy Williams is the co-founder and the executive director of youcubed. Cathy's former roles have included a high school mathematics teacher, AVID coordinator, math department chair and district curriculum leader over an 18-year span, before she became a curriculum and instruction administrator in 2003. Cathy served for seven years as the San Diego County Office of Education K-12 Mathematics Coordinator where her key projects included developing the book and professional development program.

Jen Munson is an independent consultant and Stanford doctoral student. She provides professional development to teachers and school leaders in public, charter, and independent schools across the country.

Table of 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

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: Building with and Talking about Shapes 31

Visualize: Build(ings) 33

Play: Tangram Puzzles 40

Investigate: Tangram Squares 52

Big Idea 2: Tens and Ones Are Useful Ways to Organize 59

Visualize: Organizing and Counting a Collection 61

Play: How Many Dots? 68

Investigate: Boxes of Pencils 74

Big Idea 3: Representing and Modeling Joining and Separating Situations 81

Visualize: Showing the Story 83

Play: Playing with Problem Types 89

Investigate: Library Wonders 99

Big Idea 4: Using Data to Describe and Wonder about Our World 107

Visualize: Organizing the Natural World 109

Play: Displaying Data 115

Investigate: Our Trash, Ourselves 124

Big Idea 5: Equal Means the Same 133

Visualize: Hungry, Hungry Monsters! 136

Play: True or False? 155

Investigate: Exploring Relations 165

Big Idea 6: Building with Numbers within 20 175

Visualize: Seeing Spots 177

Play: Rolling Ten 186

Investigate: Addition Table Patterns 195

Big Idea 7: Finding Patterns in Numbers 203

Visualize: Patterns in the Hundred Chart 205

Play: Skipping across the Hundred Chart 213

Investigate: Weaving Patterns 220

Big Idea 8: Using Place Value to Add and Subtract 231

Visualize: Recess! 233

Play: Playing with Place Value across Problem Types 243

Investigate: Making a Dollar 251

Big Idea 9: Using Units to Measure Our World 259

Visualize: Which One is Longer? 261

Play: Measuring Our World in Cubes 267

Investigate: Measuring with Cuisenaire Rods 275

Big Idea 10: Partitioning Shapes into Equal Parts 281

Visualize: Half and Half-of-a-Half 283

Play: Analyzing Tangrams 293

Investigate: What’s in a Flag? 299

Appendix 313

1" Grid Paper 314

Hundred Chart 315

Grid Paper 316

About the Authors 317

Acknowledgments 319

Index 321

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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