Jo Boaler, Jen Munson, Cathy Williams

Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 3

• Broschiertes Buch

Produktbeschreibung

Engage Your Students in Visual, Creative Explorations of the Big Ideas in Mathematics The Mindset Mathematics series offers a unique, research-based visual approach to exploring the big ideas in mathematics, which is essential to future mathematics success. This hands-on resource is for any teacher who wants to engage their third grade students in reasoning and persisting through problems, and provides activities that will engage students' interest and show them the many ways that mathematics is important in their lives. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message: Teachers want to incorporate more brain science into their mathematics instruction, but they need guidance in the techniques that work best to promote learning of mathematics concepts. In this much-needed volume, the authors clearly show what the big ideas are at this grade level, why they are important to know, and how students can best learn those big ideas. Filled with engaging questions, open-ended tasks, and four-color visuals, Mindset Mathematics is designed to be flexible so that it can be used with any current curriculum. All of the activities and tasks include instructions for launching in the classroom, suggestions for facilitating dynamic discussions, and guidance for what to look for in student thinking as it develops.

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Produktdetails

• Mindset Mathematics
• Verlag: John Wiley & Sons Inc
• Seitenzahl: 256
• Erscheinungstermin: 31. Juli 2018
• Englisch
• Abmessung: 277mm x 217mm x 14mm
• Gewicht: 734g
• ISBN-13: 9781119358701
• ISBN-10: 1119358701
• Artikelnr.: 50445484

Autorenporträt

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 a postdoctoral fellow 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.

Inhaltsangabe

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 10 Activities for Building Norms 17 Encouraging Good Group Work 17 Paper Folding: Learning to Reason, Convince, and Be a Skeptic 21 Big Idea 1: Solving Problems with Data 23 Visualize: Tongues, Tails, and in Between 25 Play: Inspector Graph-It 36 Investigate: Data Tells Us about Ourselves 41 Big Idea 2: Thinking around Shapes 51 Visualize: Get Your Arms around It 53 Play: 36-Unit Walk 59 Investigate: Shapes on a Plane 65 Big Idea 3: Thinking in Equal Groups 75 Visualize: Sharing Crackers 78 Play: Dozens of Dice 85 Investigate: Playing with Pairs 91 Big Idea 4: Tiling to Understand Area 99 Visualize: Cover Up 101 Play: A Whole New Alphabet 111 Investigate: Sharing an Area 119 Big Idea 5: Seeing Multiplication as Area 125 Visualize: Rods Around 127 Play: Squares and Near-Squares 132 Investigate: Connecting Area and Perimeter 142 Big Idea 6: Understanding 1 2 149 Visualize: I Spy 1 2 151 Play: Spotting 1 2 160 Investigate: The Many Shapes of 1 2 171 Big Idea 7: Seeing Fractions: The Parts and the Wholes 183 Visualize: Seeing Parts and Wholes 185 Play: Cover, Cut, and Sort 191 Investigate: Taking a Fractional Walk 202 Big Idea 8: Being Flexible with Numbers 209 Visualize: How Many Do You See? 211 Play: How Close to 100? 217 Investigate: Tile and Table Patterns 222 Appendix 231
Grid Paper 232 Grid Paper 233 1
Grid Paper 234
Dot Paper 235 Centimeter Dot Paper 236 Isometric Dot Paper 237 Hundred Grids 238 About the Authors 239 Acknowledgments 241 Index 243