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Experiencing School Mathematics
Jo BoalerPaperback / Softback
The Gilded Ones
J K RowlingInbunden
Visualizing and Investigating Big Ideas, Grade 5199Skickas inom 7-10 vardagar.
Gratis frakt inom Sverige över 159 kr för privatpersoner.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.
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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.
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: 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 Snowflakes 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 Difference 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: The 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: The 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: The 1492 Problem 268 Appendix 279 Centimeter Dot Paper 280 Isometric Dot Paper 281 About the Authors 283 Acknowledgments 285 Index 287