Details

Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 3


Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 3


Mindset Mathematics 1. Aufl.

von: Jo Boaler, Jen Munson, Cathy Williams

18,99 €

Verlag: Wiley
Format: PDF
Veröffentl.: 12.07.2018
ISBN/EAN: 9781119358657
Sprache: englisch
Anzahl Seiten: 256

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

Beschreibungen

<b>Engage students in mathematics using growth mindset techniques</b> <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 at the third-grade level 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 engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math 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 <i>Mindset Mathematics</i> reflect the lessons from brain science that:</p> <ul> <li>There is no such thing as a math person - anyone can learn mathematics to high levels.</li> <li>Mistakes, struggle and challenge are the most important times for brain growth.</li> <li>Speed is unimportant 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>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 10</p> <p>Activities for Building Norms 17</p> <p>Encouraging Good Group Work 17</p> <p>Paper Folding: Learning to Reason, Convince, and Be a Skeptic 21</p> <p>Big Idea 1: Solving Problems with Data 23</p> <p>Visualize: Tongues, Tails, and in Between 25</p> <p>Play: Inspector Graph-It 36</p> <p>Investigate: Data Tells Us about Ourselves 41</p> <p>Big Idea 2: Thinking around Shapes 51</p> <p>Visualize: Get Your Arms around It 53</p> <p>Play: 36-Unit Walk 59</p> <p>Investigate: Shapes on a Plane 65</p> <p>Big Idea 3: Thinking in Equal Groups 75</p> <p>Visualize: Sharing Crackers 78</p> <p>Play: Dozens of Dice 85</p> <p>Investigate: Playing with Pairs 91</p> <p>Big Idea 4: Tiling to Understand Area 99</p> <p>Visualize: Cover Up 101</p> <p>Play: A Whole New Alphabet 111</p> <p>Investigate: Sharing an Area 119</p> <p>Big Idea 5: Seeing Multiplication as Area 125</p> <p>Visualize: Rods Around 127</p> <p>Play: Squares and Near-Squares 132</p> <p>Investigate: Connecting Area and Perimeter 142</p> <p>Big Idea 6: Understanding 1 2 149</p> <p>Visualize: I Spy 1 2 151</p> <p>Play: Spotting 1 2 160</p> <p>Investigate: The Many Shapes of 1 2 171</p> <p>Big Idea 7: Seeing Fractions: The Parts and the Wholes 183</p> <p>Visualize: Seeing Parts and Wholes 185</p> <p>Play: Cover, Cut, and Sort 191</p> <p>Investigate: Taking a Fractional Walk 202</p> <p>Big Idea 8: Being Flexible with Numbers 209</p> <p>Visualize: How Many Do You See? 211</p> <p>Play: How Close to 100? 217</p> <p>Investigate: Tile and Table Patterns 222</p> <p>Appendix 231</p> <p>¼˝ Grid Paper 232</p> <p>Grid Paper 233</p> <p>1˝ Grid Paper 234</p> <p>¼˝ Dot Paper 235</p> <p>Centimeter Dot Paper 236</p> <p>Isometric Dot Paper 237</p> <p>Hundred Grids 238</p> <p>About the Authors 239</p> <p>Acknowledgments 241</p> <p>Index 243</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><b>JEN MUNSON</b> 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. <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>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. <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.

Diese Produkte könnten Sie auch interessieren:

The Courage to Teach Guide for Reflection and Renewal
The Courage to Teach Guide for Reflection and Renewal
von: Parker J. Palmer, Megan Scribner
EPUB ebook
12,99 €
Moving the Rock
Moving the Rock
von: Grant Lichtman
EPUB ebook
21,99 €
PreparedU
PreparedU
von: Gloria Cordes Larson, Rosabeth Moss Kanter
PDF ebook
19,99 €