Details

Mindset Mathematics


Mindset Mathematics

Visualizing and Investigating Big Ideas, Grade 5
Mindset Mathematics 1. Aufl.

von: Jo Boaler, Jen Munson, Cathy Williams

18,99 €

Verlag: Wiley
Format: PDF
Veröffentl.: 26.02.2018
ISBN/EAN: 9781119358787
Sprache: englisch
Anzahl Seiten: 304

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 fifth-grade level through visualization, play, and investigation.  <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 mathematics 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: <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><b>Introduction 1</b></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><b>Activities for Building Norms 17</b></p> <p>Encouraging Good Group Work 17</p> <p>Paper Folding: Learning to Reason, Convince, and Be a Skeptic 21</p> <p><b>Big Idea 1: Thinking in Cubes 23</b></p> <p>Visualize: Solids, Inside and Out 25</p> <p>Play: City of Cubes 33</p> <p>Investigate: A Box of Boxes 44</p> <p><b>Big Idea 2: Estimating with Fractions 53</b></p> <p>Visualize: Making Snowflakes 55</p> <p>Play: Fraction Blizzard 61</p> <p>Investigate: Wondering with Fractions 67</p> <p><b>Big Idea 3: Using Fraction Equivalence 81</b></p> <p>Visualize: Picking Paintings Apart 83</p> <p>Play: Make a Fake 94</p> <p>Investigate: Squares with a Difference 101</p> <p><b>Big Idea 4: Exploring the Coordinate Plane 115</b></p> <p>Visualize: Getting around the Plane 118</p> <p>Play: Ship Shape 124</p> <p>Investigate: Table Patterns 133</p> <p><b>Big Idea 5: Seeing and Connecting Patterns across Representations 143</b></p> <p>Visualize: Two-Pattern Tango 145</p> <p>Play: Pattern Carnival 153</p> <p>Investigate: Seeing Growth on a Graph 159</p> <p><b>Big Idea 6: Understanding Fraction Multiplication Visually 169</b></p> <p>Visualize: Fractions in a Pan 172</p> <p>Play: Pieces and Parts 180</p> <p>Investigate: The Sum of the Parts 187</p> <p><b>Big Idea 7: What Does It Mean to Divide Fractions? 199</b></p> <p>Visualize: Creating Cards 201</p> <p>Play: Cuisenaire Trains 209</p> <p>Investigate: Fraction Division Conundrum 217</p> <p><b>Big Idea 8: Thinking in Powers of 10 223</b></p> <p>Visualize: The Unit You 225</p> <p>Play: Filling Small and Large 233</p> <p>Investigate: Museum of the Very Large and Small 239</p> <p><b>Big Idea 9: Using Numbers and Symbols Flexibly 247</b></p> <p>Visualize: Seeing Expressions 250</p> <p>Play: Inside Pascal’s Triangle 261</p> <p>Investigate: The 1492 Problem 268</p> <p><b>Appendix 279</b></p> <p>Centimeter Dot Paper 280</p> <p>Isometric Dot Paper 281</p> <p>About the Authors 283</p> <p>Acknowledgments 285</p> Index 287
<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 doctoral candidate at Stanford University, a professional developer, and a former classroom teacher. She works with teachers and school leaders across the United States to develop 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 fifth 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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