Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 1: (Mindset Mathematics)

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.

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

About the Author :
JO BOALER is the Nominelli-Olivier professor at Stanford. Former roles have included being a maths teacher in London schools. She is author of 18 books, numerous articles and a White House presenter on women and girls. She co-founded www.youcubed.org, is a regular contributor to news and radio in the US and was named as one of the 8 educators "changing the face of education" by the BBC. JEN MUNSON is an assistant professor of learning sciences at Northwestern University, a profession- al developer, and a former classroom teacher. She received her PhD in mathematics education from Stanford University. Her research focuses on responsive, equitable mathematics instruction. CATHY WILLIAMS is the co-founder and the executive director of youcubed at Stanford University. Before working at youcubed, she was a high school math teacher and worked in mathematics curriculum and administration at the county and district levels in California.