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Mindset Mathematics
Cover of Mindset Mathematics
Mindset Mathematics
Visualizing and Investigating Big Ideas, Grade 5
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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...
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...
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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 fifth-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 mathematics 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.

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 a doctoral candidate at Stanford University, a professional developer, and a former classroom teacher. She works with teachers and school leaders across the United States to develop 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.

Table of Contents-

  • Introduction 1

    Low-Floor, High-Ceiling Tasks 2

    Youcubed Summer Camp 3

    Memorization versus Conceptual Engagement 4

    Mathematical Th inking, 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: Thinking in Cubes 23

    Visualize: Solids, Inside and Out 25

    Play: City of Cubes 33

    Investigate: A Box of Boxes 44

    Big Idea 2: Estimating with Fractions 53

    Visualize: Making Snowfl akes 55

    Play: Fraction Blizzard 61

    Investigate: Wondering with Fractions 67

    Big Idea 3: Using Fraction Equivalence 81

    Visualize: Picking Paintings Apart 83

    Play: Make a Fake 94

    Investigate: Squares with a Diff erence 101

    Big Idea 4: Exploring the Coordinate Plane 115

    Visualize: Getting around the Plane 118

    Play: Ship Shape 124

    Investigate: Table Patterns 133

    Big Idea 5: Seeing and Connecting Patterns across

    Representations 143

    Visualize: Two-Pattern Tango 145

    Play: Pattern Carnival 153

    Investigate: Seeing Growth on a Graph 159

    Big Idea 6: Understanding Fraction Multiplication Visually 169

    Visualize: Fractions in a Pan 172

    Play: Pieces and Parts 180

    Investigate: Th e Sum of the Parts 187

    Big Idea 7: What Does It Mean to Divide Fractions? 199

    Visualize: Creating Cards 201

    Play: Cuisenaire Trains 209

    Investigate: Fraction Division Conundrum 217

    Big Idea 8: Thinking in Powers of 10 223

    Visualize: Th e Unit You 225

    Play: Filling Small and Large 233

    Investigate: Museum of the Very Large and Small 239

    Big Idea 9: Using Numbers and Symbols Flexibly 247

    Visualize: Seeing Expressions 250

    Play: Inside Pascal’s Triangle 261

    Investigate: Th e 1492 Problem 268

    Appendix 279

    Centimeter Dot Paper 280

    Isometric Dot Paper 281

    About the Authors 283

    Acknowledgments 285

    Index 287

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    Wiley
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Visualizing and Investigating Big Ideas, Grade 5
Jo Boaler
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