Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 1

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.

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: 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.

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 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.

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: 31.01.2021
• EAN: 9781119358626
• ISBN: 978-1-119-35862-6
• No. of pages: 352
• Series: Mindset Mathematics
• Subjects: Education and learning > Schoolbooks, general education schools; Guides > Self-help, everyday life > Family; Humanities, art, music > Education > School education, didactics, methodology; Mathematik, Education, Bildungswesen, Mathematics, Lehrpläne / Mathematik