{"product_id":"mindset-mathematics-visualizing-and-investigating-big-ideas-grade-8-isbn-9781119358749","title":"Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 8","description":"\u003cb\u003eEngage students in mathematics using growth mindset techniques\u003c\/b\u003e \u003cp\u003eThe 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 eighth-grade level through visualization, play, and investigation.\u003c\/p\u003e \u003cp\u003eDuring 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 \u003ci\u003eMindset Mathematics\u003c\/i\u003e 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 \u003ci\u003eMindset Mathematics\u003c\/i\u003e reflect the lessons from brain science that:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eThere is no such thing as a math person - anyone can learn mathematics to high levels.\u003c\/li\u003e \u003cli\u003eMistakes, struggle and challenge are the most important times for brain growth.\u003c\/li\u003e \u003cli\u003eSpeed is unimportant in mathematics.\u003c\/li\u003e \u003cli\u003eMathematics is a visual and beautiful subject, and our brains want to think visually about mathematics.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eWith engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, \u003ci\u003eMindset Mathematics\u003c\/i\u003e 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.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIntroduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eLow-Floor, High-Ceiling Tasks 2\u003c\/p\u003e \u003cp\u003eYoucubed Summer Camp 3\u003c\/p\u003e \u003cp\u003eMemorization versus Conceptual Engagement 4\u003c\/p\u003e \u003cp\u003eMathematical Thinking, Reasoning, and Convincing 5\u003c\/p\u003e \u003cp\u003eBig Ideas 9\u003c\/p\u003e \u003cp\u003eStructure of the Book 9\u003c\/p\u003e \u003cp\u003e\u003cb\u003eNote on Materials 17\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eManipulatives and Materials Used in This Book 18\u003c\/p\u003e \u003cp\u003e\u003cb\u003eActivities for Building Norms 21\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eEncouraging Good Group Work 21\u003c\/p\u003e \u003cp\u003ePaper Folding: Learning to Reason, Convince, and Be a Skeptic 22\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 1: Moving Shapes 27\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: What Does It Mean to Be the Same? 29\u003c\/p\u003e \u003cp\u003ePlay: Pixel Puzzles 35\u003c\/p\u003e \u003cp\u003eInvestigate: Slide It, Flip It, Turn It 45\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 2: Zooming In and Out 53\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: What is Similarity? 55\u003c\/p\u003e \u003cp\u003ePlay: Find the Fakes 60\u003c\/p\u003e \u003cp\u003eInvestigate: Growing on a Grid 65\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 3: Analyzing Proportional Relationships 71\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: Dropping the Altitude 73\u003c\/p\u003e \u003cp\u003ePlay: Seeing Triangles under the Line 79\u003c\/p\u003e \u003cp\u003eInvestigate: Stairway to Eleven 85\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 4: Comparing Patterns of Growth 91\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: Squared Squares 93\u003c\/p\u003e \u003cp\u003ePlay: Skip-Counting Arrays 100\u003c\/p\u003e \u003cp\u003eInvestigate: Stacking Pennies 107\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 5: The Ins and Outs of Functions 117\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: Growing Functions 120\u003c\/p\u003e \u003cp\u003ePlay: Getting Warmer! 134\u003c\/p\u003e \u003cp\u003eInvestigate: The Functions of Near Squares 140\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 6: Finding Patterns in the Clouds 149\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: What’s Going On in This Graph? 151\u003c\/p\u003e \u003cp\u003ePlay: What’s the Story Here? 158\u003c\/p\u003e \u003cp\u003eInvestigate: Creating Data Visualizations 166\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 7: Completing the Real Number System 177\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: Square Sides 179\u003c\/p\u003e \u003cp\u003ePlay: Between 4 × 4 and 5 × 5 187\u003c\/p\u003e \u003cp\u003eInvestigate: The Hypotenuse Hypothesis 193\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 8: Discovering Pythagoras 201\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: Unpacking Pythagoras 204\u003c\/p\u003e \u003cp\u003ePlay: Pythagorean Triples 209\u003c\/p\u003e \u003cp\u003eInvestigate: Approximating Square Roots 214\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 9: Exploring the Geometry of Ice Cream 221\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: Building Intuition about Volume 223\u003c\/p\u003e \u003cp\u003ePlay: Comparing Cylinders 227\u003c\/p\u003e \u003cp\u003eInvestigate: Scooping Up Volume 233\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix 239\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eCentimeter Grid Paper 240\u003c\/p\u003e \u003cp\u003eGrid Paper 241\u003c\/p\u003e \u003cp\u003eIsometric Dot Paper 242\u003c\/p\u003e \u003cp\u003eDot Paper 243\u003c\/p\u003e \u003cp\u003eAbout the Authors 245\u003c\/p\u003e \u003cp\u003eAcknowledgments 247\u003c\/p\u003e \u003cp\u003eIndex 249\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eJO BOALER\u003c\/b\u003e 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 \u003ci\u003eMathematical Mindsets\u003c\/i\u003e, and numerous research articles, she is a regular contributor to news and radio in the United States and England. \u003c\/p\u003e\u003cp\u003e\u003cb\u003eJEN MUNSON\u003c\/b\u003e is an assistant professor of learning sciences at Northwestern University, a professional developer, and a former classroom teacher. She received her PhD in teacher education and mathematics education from Stanford University. Her research focuses on responsive, equitable mathematics instruction and coaching. \u003c\/p\u003e\u003cp\u003e\u003cb\u003eCATHY WILLIAMS\u003c\/b\u003e 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.   \u003c\/p\u003e\u003cp\u003e\u003cb\u003eEngage Your Students in Visual, Creative Explorations of the Big Ideas in Mathematics\u003c\/b\u003e  \u003c\/p\u003e\u003cp\u003eThe \u003ci\u003eMindset Mathematics\u003c\/i\u003e 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 eighth 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. \u003c\/p\u003e\u003cp\u003eDuring 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. \u003c\/p\u003e\u003cp\u003eFilled with engaging questions, open-ended tasks, and four-color visuals, \u003ci\u003eMindset Mathematics\u003c\/i\u003e 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.\u003c\/p\u003e","brand":"Jossey-Bass","offers":[{"title":"Default Title","offer_id":47989630107877,"sku":"NP9781119358749","price":27.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781119358749.jpg?v=1761784878","url":"https:\/\/k12savings.com\/products\/mindset-mathematics-visualizing-and-investigating-big-ideas-grade-8-isbn-9781119358749","provider":"K12savings","version":"1.0","type":"link"}