{"product_id":"mindset-mathematics-visualizing-and-investigating-big-ideas-grade-7-isbn-9781119357919","title":"Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 7","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 seventh-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: Connecting 2D and 3D Worlds 27\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: Seeing Slices 29\u003c\/p\u003e \u003cp\u003ePlay: Playing with Clay 34\u003c\/p\u003e \u003cp\u003eInvestigate: The Area of Slices 40\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 2: Constructing Figures to Scale 47\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: What is Scale? 50\u003c\/p\u003e \u003cp\u003ePlay: A Fishy Image 55\u003c\/p\u003e \u003cp\u003eInvestigate: Magnifying Solids 61\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 3: Seeing Proportional Relationships 69\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: Growing Dough 72\u003c\/p\u003e \u003cp\u003ePlay: is It Proportional? 80\u003c\/p\u003e \u003cp\u003eInvestigate: Sizing Up Proportions 86\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 4: Understanding Percents in the World 93\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: Painting Percents 95\u003c\/p\u003e \u003cp\u003ePlay: Building Benchmarks 103\u003c\/p\u003e \u003cp\u003eInvestigate: What’s It Going to Cost? 109\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 5: Building Intuition about Probability 119\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: is It Fair? 121\u003c\/p\u003e \u003cp\u003ePlay: Fair Sums? 131\u003c\/p\u003e \u003cp\u003eInvestigate: What’s in the Bag? 136\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 6: Modeling Probabilities 145\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: What’s the Chance of That? 147\u003c\/p\u003e \u003cp\u003ePlay: Probability Carnival 155\u003c\/p\u003e \u003cp\u003eInvestigate: Go, Go Galton Board! 163\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 7: Sampling to Understand Populations 171\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: Sampling Dots and Beads 173\u003c\/p\u003e \u003cp\u003ePlay: Catch and Release 180\u003c\/p\u003e \u003cp\u003eInvestigate: Wildlife Populations 186\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 8: Operating with Opposites 197\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: Line Dancing 199\u003c\/p\u003e \u003cp\u003ePlay: Integer Tic-Tac-Toe 207\u003c\/p\u003e \u003cp\u003eInvestigate: Coordinating Multiplication 216\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 9: Using Algebra as a Problem-Solving Tool 225\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: Case by Case 228\u003c\/p\u003e \u003cp\u003ePlay: (Non) Linear Pattern Puzzles 237\u003c\/p\u003e \u003cp\u003eInvestigate: Linear Letters 245\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBig Idea 10: Exploring Circles 251\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualize: Building Hunches about Circumference 253\u003c\/p\u003e \u003cp\u003ePlay: Dissecting Circle Area 260\u003c\/p\u003e \u003cp\u003eInvestigate: Unraveling Circles 267\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix 273\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eCentimeter Grid Paper 274\u003c\/p\u003e \u003cp\u003e1\" Grid Paper 275\u003c\/p\u003e \u003cp\u003eSnap Cube Grid Paper 276\u003c\/p\u003e \u003cp\u003eIsometric Dot Paper 277\u003c\/p\u003e \u003cp\u003eDot Paper 278\u003c\/p\u003e \u003cp\u003eAbout the Authors 279\u003c\/p\u003e \u003cp\u003eAcknowledgments 281\u003c\/p\u003e \u003cp\u003eIndex 283\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 seventh 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":47989630271717,"sku":"NP9781119357919","price":27.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781119357919.jpg?v=1761784879","url":"https:\/\/k12savings.com\/products\/mindset-mathematics-visualizing-and-investigating-big-ideas-grade-7-isbn-9781119357919","provider":"K12savings","version":"1.0","type":"link"}