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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 sixth 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 sixth 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 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.
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
| Erscheinungsjahr: | 2019 |
|---|---|
| Fachbereich: | Didaktik/Methodik/Schulpädagogik/Fachdidaktik |
| Genre: | Erziehung & Bildung |
| Rubrik: | Sozialwissenschaften |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9781119358831 |
| ISBN-10: | 1119358833 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Boaler, Jo
Munson, Jen Williams, Cathy |
| Hersteller: | Wiley |
| Maße: | 277 x 217 x 17 mm |
| Von/Mit: | Jo Boaler (u. a.) |
| Erscheinungsdatum: | 07.01.2019 |
| Gewicht: | 0,75 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 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.
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
| Erscheinungsjahr: | 2019 |
|---|---|
| Fachbereich: | Didaktik/Methodik/Schulpädagogik/Fachdidaktik |
| Genre: | Erziehung & Bildung |
| Rubrik: | Sozialwissenschaften |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9781119358831 |
| ISBN-10: | 1119358833 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Boaler, Jo
Munson, Jen Williams, Cathy |
| Hersteller: | Wiley |
| Maße: | 277 x 217 x 17 mm |
| Von/Mit: | Jo Boaler (u. a.) |
| Erscheinungsdatum: | 07.01.2019 |
| Gewicht: | 0,75 kg |
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