Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 2

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 in second grade 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 inquiry, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to support student learning, 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 and anyone can learn mathematics to high levels.
* Mistakes, struggle, and challenge are opportunities for brain growth.
* Speed is unimportant, and even counterproductive, 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.

List 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: 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

About the author

JO BOALER is a professor of mathematics education at Stanford University and co-founder and faculty director of youcubed. 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). The author of seven books, including Mathematical Mindsets, and numerous research articles, she is a regular contributor to news and radio in the United States and England.
JEN MUNSON is an assistant professor of learning sciences at Northwestern University, a professional 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.

Summary

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 in second grade 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 inquiry, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to support student learning, 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 and anyone can learn mathematics to high levels.
* Mistakes, struggle, and challenge are opportunities for brain growth.
* Speed is unimportant, and even counterproductive, 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.

Product details

• Authors: J Boaler, Jo Boaler, Jo Munson Boaler, Boaler Jo, Je Munson, Jen Munson, Cathy Williams, Williams Cathy
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Paperback / Softback
• Released: 31.08.2020
• EAN: 9781119358633
• ISBN: 978-1-119-35863-3
• No. of pages: 288
• Series: Mindset Mathematics
• Subjects: Education and learning > Schoolbooks, general education schools; Humanities, art, music > Education > School education, didactics, methodology; Mathematikunterricht, Mathematik, Education, Bildungswesen, Mathematics, Primary and middle schools, Lehrpläne / Mathematik, Curriculum planning and development