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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 third 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 third 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
Activities for Building Norms 17
Encouraging Good Group Work 17
Paper Folding: Learning to Reason, Convince, and Be a Skeptic 21
Big Idea 1: Solving Problems with Data 23
Visualize: Tongues, Tails, and in Between 25
Play: Inspector Graph-It 36
Investigate: Data Tells Us about Ourselves 41
Big Idea 2: Thinking around Shapes 51
Visualize: Get Your Arms around It 53
Play: 36-Unit Walk 59
Investigate: Shapes on a Plane 65
Big Idea 3: Thinking in Equal Groups 75
Visualize: Sharing Crackers 78
Play: Dozens of Dice 85
Investigate: Playing with Pairs 91
Big Idea 4: Tiling to Understand Area 99
Visualize: Cover Up 101
Play: A Whole New Alphabet 111
Investigate: Sharing an Area 119
Big Idea 5: Seeing Multiplication as Area 125
Visualize: Rods Around 127
Play: Squares and Near-Squares 132
Investigate: Connecting Area and Perimeter 142
Big Idea 6: Understanding 1 2 149
Visualize: I Spy 1 2 151
Play: Spotting 1 2 160
Investigate: The Many Shapes of 1 2 171
Big Idea 7: Seeing Fractions: The Parts and the Wholes 183
Visualize: Seeing Parts and Wholes 185
Play: Cover, Cut, and Sort 191
Investigate: Taking a Fractional Walk 202
Big Idea 8: Being Flexible with Numbers 209
Visualize: How Many Do You See? 211
Play: How Close to 100? 217
Investigate: Tile and Table Patterns 222
Appendix 231
¿¿ Grid Paper 232
Grid Paper 233
1¿ Grid Paper 234
¿¿ Dot Paper 235
Centimeter Dot Paper 236
Isometric Dot Paper 237
Hundred Grids 238
About the Authors 239
Acknowledgments 241
Index 243
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Didaktik/Methodik/Schulpädagogik/Fachdidaktik |
| Genre: | Erziehung & Bildung |
| Rubrik: | Sozialwissenschaften |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9781119358701 |
| ISBN-10: | 1119358701 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Boaler, Jo
Munson, Jen Williams, Cathy |
| Hersteller: | Wiley |
| Maße: | 277 x 217 x 14 mm |
| Von/Mit: | Jo Boaler (u. a.) |
| Erscheinungsdatum: | 31.07.2018 |
| Gewicht: | 0,7 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
Activities for Building Norms 17
Encouraging Good Group Work 17
Paper Folding: Learning to Reason, Convince, and Be a Skeptic 21
Big Idea 1: Solving Problems with Data 23
Visualize: Tongues, Tails, and in Between 25
Play: Inspector Graph-It 36
Investigate: Data Tells Us about Ourselves 41
Big Idea 2: Thinking around Shapes 51
Visualize: Get Your Arms around It 53
Play: 36-Unit Walk 59
Investigate: Shapes on a Plane 65
Big Idea 3: Thinking in Equal Groups 75
Visualize: Sharing Crackers 78
Play: Dozens of Dice 85
Investigate: Playing with Pairs 91
Big Idea 4: Tiling to Understand Area 99
Visualize: Cover Up 101
Play: A Whole New Alphabet 111
Investigate: Sharing an Area 119
Big Idea 5: Seeing Multiplication as Area 125
Visualize: Rods Around 127
Play: Squares and Near-Squares 132
Investigate: Connecting Area and Perimeter 142
Big Idea 6: Understanding 1 2 149
Visualize: I Spy 1 2 151
Play: Spotting 1 2 160
Investigate: The Many Shapes of 1 2 171
Big Idea 7: Seeing Fractions: The Parts and the Wholes 183
Visualize: Seeing Parts and Wholes 185
Play: Cover, Cut, and Sort 191
Investigate: Taking a Fractional Walk 202
Big Idea 8: Being Flexible with Numbers 209
Visualize: How Many Do You See? 211
Play: How Close to 100? 217
Investigate: Tile and Table Patterns 222
Appendix 231
¿¿ Grid Paper 232
Grid Paper 233
1¿ Grid Paper 234
¿¿ Dot Paper 235
Centimeter Dot Paper 236
Isometric Dot Paper 237
Hundred Grids 238
About the Authors 239
Acknowledgments 241
Index 243
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Didaktik/Methodik/Schulpädagogik/Fachdidaktik |
| Genre: | Erziehung & Bildung |
| Rubrik: | Sozialwissenschaften |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9781119358701 |
| ISBN-10: | 1119358701 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Boaler, Jo
Munson, Jen Williams, Cathy |
| Hersteller: | Wiley |
| Maße: | 277 x 217 x 14 mm |
| Von/Mit: | Jo Boaler (u. a.) |
| Erscheinungsdatum: | 31.07.2018 |
| Gewicht: | 0,7 kg |
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