Details

Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 2


Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 2


Mindset Mathematics 1. Aufl.

von: Jo Boaler, Jen Munson, Cathy Williams

18,99 €

Verlag: Wiley
Format: EPUB
Veröffentl.: 10.12.2021
ISBN/EAN: 9781119358640
Sprache: englisch
Anzahl Seiten: 288

DRM-geschütztes eBook, Sie benötigen z.B. Adobe Digital Editions und eine Adobe ID zum Lesen.

Beschreibungen

<p><b>Engage students in mathematics using growth mindset techniques</b></p> <p>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 in second grade through visualization, play, and investigation.</p> <p>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 <i>Mindset Mathematics</i> around the principle of active student inquiry, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to support student learning, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in <i>Mindset Mathematics</i> reflect the lessons from brain science that:</p> <ul> <li>There is no such thing as a math person and anyone can learn mathematics to high levels.</li> <li>Mistakes, struggle, and challenge are opportunities for brain growth.</li> <li>Speed is unimportant, and even counterproductive, in mathematics.</li> <li>Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics.</li> </ul> <p>With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, <i>Mindset Mathematics</i> 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.</p> <p> </p> <p> </p>
<p>Introduction 1</p> <p>Low-Floor, High-Ceiling Tasks 2</p> <p>Youcubed Summer Camp 3</p> <p>Memorization versus Conceptual Engagement 4</p> <p>Mathematical Thinking, Reasoning, and Convincing 5</p> <p>Big Ideas 9</p> <p>Structure of the Book 9</p> <p>Note on Materials 17</p> <p>Manipulatives and Materials Used in This Book 18</p> <p>Activities for Building Norms 21</p> <p>Encouraging Good Group Work 21</p> <p>How Many Do You See? Learning to Reason, Convince, and Pose Questions 23</p> <p>◼ <b>Big Idea 1: Partitioning Shapes into Equal Parts 31</b></p> <p>Visualize: Equal or Same? 33</p> <p>Play: Four Fourths 39</p> <p>Investigate: Rows and Columns 44</p> <p>◼ <b>Big Idea 2: Making and Using Equal Groups 53</b></p> <p>Visualize: The Groups Inside 55</p> <p>Play: Skipping down the Hall 61</p> <p>Investigate: Array Museum 67</p> <p>◼ <b>Big Idea 3: What Is 100? 73</b></p> <p>Visualize: The Many Ways to See 100 75</p> <p>Play: Scoop and Count 82</p> <p>Investigate: Making a Dollar, Revisited 86</p> <p>◼ <b>Big Idea 4: Composing and Decomposing Numbers 91</b></p> <p>Visualize: Array Talks 93</p> <p>Play: Which Is More? 103</p> <p>Investigate: Coin Grab 114</p> <p>◼ <b>Big Idea 5: Using Patterns in Place Value 119</b></p> <p>Visualize: What’s in Your 12? 121</p> <p>Play: Reach for It! 126</p> <p>Investigate: Window Mysteries 136</p> <p>◼ <b>Big Idea 6: Thinking on the Number Line 145</b></p> <p>Visualize: Long Lives 148</p> <p>Play: Life- Span Puzzles 157</p> <p>Investigate: Living on the Number Line 166</p> <p>◼ <b>Big Idea 7: Rulers and Clocks Are Number Lines 173</b></p> <p>Visualize: Noticing the Ruler and Clock 175</p> <p>Play: Walking the Clock 181</p> <p>Investigate: A Sea of Sharks 187</p> <p>◼ <b>Big Idea 8: Using Units to Estimate 205</b></p> <p>Visualize: Foot by Foot 207</p> <p>Play: Length Scavenger Hunt 216</p> <p>Investigate: School- Day Walkabout 222</p> <p>◼ <b>Big Idea 9: Using Data to Visualize and Wonder about Our World 229</b></p> <p>Visualize: Fruit around the World 231</p> <p>Play: Eat Your Roots 238</p> <p>Investigate: Dear Data 243</p> <p>Appendix 253</p> <p>Grid Paper 254</p> <p>About the Authors 255</p> <p>Acknowledgments 257</p> <p>Index 259</p>
<p><B>JO BOALER</B> 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 <i>Mathematical Mindsets</i>, and numerous research articles, she is a regular contributor to news and radio in the United States and England.</p> <p><b>JEN MUNSON </b>is an assistant professor of learning sciences 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. <p><b>CATHY WILLIAMS</b> 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.
<p><b>Engage Your Students in Visual, Creative Explorations of the Big Ideas in Mathematics</b></p> <p>The <i>Mindset Mathematics</i> 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 second 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. <p>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. <p>Filled with engaging questions, open-ended tasks, and four-color visuals, <i>Mindset Mathematics</i> 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.

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