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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 seventh 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.
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 seventh 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.
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 an assistant professor of learning sciences at Northwestern University, a professional developer, and a former classroom teacher. She received her PhD in teacher education and mathematics education from Stanford University. Her research focuses on responsive, equitable mathematics instruction and coaching.
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 9
Note on Materials 17
Manipulatives and Materials Used in This Book 18
Activities for Building Norms 21
Encouraging Good Group Work 21
Paper Folding: Learning to Reason, Convince, and Be a Skeptic 22
Big Idea 1: Connecting 2D and 3D Worlds 27
Visualize: Seeing Slices 29
Play: Playing with Clay 34
Investigate: The Area of Slices 40
Big Idea 2: Constructing Figures to Scale 47
Visualize: What is Scale? 50
Play: A Fishy Image 55
Investigate: Magnifying Solids 61
Big Idea 3: Seeing Proportional Relationships 69
Visualize: Growing Dough 72
Play: is It Proportional? 80
Investigate: Sizing Up Proportions 86
Big Idea 4: Understanding Percents in the World 93
Visualize: Painting Percents 95
Play: Building Benchmarks 103
Investigate: What's It Going to Cost? 109
Big Idea 5: Building Intuition about Probability 119
Visualize: is It Fair? 121
Play: Fair Sums? 131
Investigate: What's in the Bag? 136
Big Idea 6: Modeling Probabilities 145
Visualize: What's the Chance of That? 147
Play: Probability Carnival 155
Investigate: Go, Go Galton Board! 163
Big Idea 7: Sampling to Understand Populations 171
Visualize: Sampling Dots and Beads 173
Play: Catch and Release 180
Investigate: Wildlife Populations 186
Big Idea 8: Operating with Opposites 197
Visualize: Line Dancing 199
Play: Integer Tic-Tac-Toe 207
Investigate: Coordinating Multiplication 216
Big Idea 9: Using Algebra as a Problem-Solving Tool 225
Visualize: Case by Case 228
Play: (Non) Linear Pattern Puzzles 237
Investigate: Linear Letters 245
Big Idea 10: Exploring Circles 251
Visualize: Building Hunches about Circumference 253
Play: Dissecting Circle Area 260
Investigate: Unraveling Circles 267
Appendix 273
Centimeter Grid Paper 274
1" Grid Paper 275
Snap Cube Grid Paper 276
Isometric Dot Paper 277
Dot Paper 278
About the Authors 279
Acknowledgments 281
Index 283
| Erscheinungsjahr: | 2019 |
|---|---|
| Fachbereich: | Unterricht |
| Genre: | Erziehung & Bildung, Importe |
| Rubrik: | Sozialwissenschaften |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9781119357919 |
| ISBN-10: | 1119357918 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Williams, Cathy
Munson, Jen Boaler, Jo |
| Hersteller: | John Wiley & Sons Inc |
| Maße: | 269 x 215 x 17 mm |
| Von/Mit: | Cathy Williams (u. a.) |
| Erscheinungsdatum: | 10.09.2019 |
| Gewicht: | 0,844 kg |
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 an assistant professor of learning sciences at Northwestern University, a professional developer, and a former classroom teacher. She received her PhD in teacher education and mathematics education from Stanford University. Her research focuses on responsive, equitable mathematics instruction and coaching.
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 9
Note on Materials 17
Manipulatives and Materials Used in This Book 18
Activities for Building Norms 21
Encouraging Good Group Work 21
Paper Folding: Learning to Reason, Convince, and Be a Skeptic 22
Big Idea 1: Connecting 2D and 3D Worlds 27
Visualize: Seeing Slices 29
Play: Playing with Clay 34
Investigate: The Area of Slices 40
Big Idea 2: Constructing Figures to Scale 47
Visualize: What is Scale? 50
Play: A Fishy Image 55
Investigate: Magnifying Solids 61
Big Idea 3: Seeing Proportional Relationships 69
Visualize: Growing Dough 72
Play: is It Proportional? 80
Investigate: Sizing Up Proportions 86
Big Idea 4: Understanding Percents in the World 93
Visualize: Painting Percents 95
Play: Building Benchmarks 103
Investigate: What's It Going to Cost? 109
Big Idea 5: Building Intuition about Probability 119
Visualize: is It Fair? 121
Play: Fair Sums? 131
Investigate: What's in the Bag? 136
Big Idea 6: Modeling Probabilities 145
Visualize: What's the Chance of That? 147
Play: Probability Carnival 155
Investigate: Go, Go Galton Board! 163
Big Idea 7: Sampling to Understand Populations 171
Visualize: Sampling Dots and Beads 173
Play: Catch and Release 180
Investigate: Wildlife Populations 186
Big Idea 8: Operating with Opposites 197
Visualize: Line Dancing 199
Play: Integer Tic-Tac-Toe 207
Investigate: Coordinating Multiplication 216
Big Idea 9: Using Algebra as a Problem-Solving Tool 225
Visualize: Case by Case 228
Play: (Non) Linear Pattern Puzzles 237
Investigate: Linear Letters 245
Big Idea 10: Exploring Circles 251
Visualize: Building Hunches about Circumference 253
Play: Dissecting Circle Area 260
Investigate: Unraveling Circles 267
Appendix 273
Centimeter Grid Paper 274
1" Grid Paper 275
Snap Cube Grid Paper 276
Isometric Dot Paper 277
Dot Paper 278
About the Authors 279
Acknowledgments 281
Index 283
| Erscheinungsjahr: | 2019 |
|---|---|
| Fachbereich: | Unterricht |
| Genre: | Erziehung & Bildung, Importe |
| Rubrik: | Sozialwissenschaften |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9781119357919 |
| ISBN-10: | 1119357918 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Williams, Cathy
Munson, Jen Boaler, Jo |
| Hersteller: | John Wiley & Sons Inc |
| Maße: | 269 x 215 x 17 mm |
| Von/Mit: | Cathy Williams (u. a.) |
| Erscheinungsdatum: | 10.09.2019 |
| Gewicht: | 0,844 kg |
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