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Mindset Mathematics - Visualizing and Investigating Big Ideas, Grade 6

Mindset Mathematics - Visualizing and Investigating Big Ideas, Grade 6

Authors
Publisher John Wiley & Sons Inc
Year 27/08/2019
Pages 272
Version paperback
Readership level General/trade
Language English
ISBN 9781119358831
Categories Teaching of a specific subject
$28.11 (with VAT)
124.95 PLN / €26.79 / £23.26
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Book description

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 sixth-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.

Mindset Mathematics - Visualizing and Investigating Big Ideas, Grade 6

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 10





Note on Materials 16





Manipulatives and Materials Used in This Book 17





Activities for Building Norms 19





Encouraging Good Group Work 19





Paper Folding: Learning to Reason, Convince, and Be Skeptical 21





Big Idea 1: Taking Apart Prisms and Polygons 24





Visualize: How Big Is the Footprint? 26





Play: Shards of a Shape 38





Investigate: Rising from the Footprint 46





Big Idea 2: Folding and Unfolding Objects 57





Visualize: Folding Cubes in Your Mind 60





Play: Folding Nets in Your Mind 70





Investigate: Filling Our Nets 85





Big Idea 3: Expanding the Number Line 92





Visualize: Folding around Zero 94





Play: Bouncing around the Number Line 101





Investigate: Going 2-D 107





Big Idea 4: Finding and Using Unit Rates 116





Visualize: Seeing Unit Rates 118





Play: Seeing the Best Deal 128





Investigate: How Fast Do You Walk? 136





Big Idea 5: Reasoning with Proportions 142





Visualize: Jump! Jump! 144





Play: Seeing Animals in a New Way 149





Investigate: A Seat at the Table 156





Big Idea 6: Visualizing the Center and Spread of Data 164





Visualize: The Shape of Data 167





Play: What Does Mean Mean? 178





Investigate: When Does Mean = Median = Mode = Range? 185





Big Idea 7: Using Symbols to Describe the World 192





Visualize: Cuisenaire Rod Equivalents 195





Play: Math Mobiles 204





Investigate: Radial Patterns 215





Big Idea 8: Generalizing 221





Visualize: Generalizing Number Patterns 223





Play: Generalizing Strategy 230





Investigate: Generalizing Visual Patterns 239





Appendix 246





Centimeter Grid Paper 247





Grid Paper 248





1" Grid Paper 249





Isometric Dot Paper 250





Dot Paper 251





About the Authors 252





Acknowledgments 254





Index 255

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