Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 3
Engage students in mathematics using growth mindset techniques 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. 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 Mindset Mathematics 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 Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics 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.
Introduction Low Floor, High Ceiling Tasks Youcubed Summer Camp Memorization vs. Conceptual Engagement Mathematical Thinking, Reasoning and Convincing Big Ideas Structure of the Book Activities for Building Norms Encouraging Good Group Work Paper Folding: Learning to Reason, Convince, and Be Skeptical Big Idea 1: Solving Problems with Data Visualize: Tongues, Tails, and In Between Play: Inspector Graph-It Investigate: Data Tells Us About Ourselves Big Idea 2: Thinking Around Shapes Visualize: Get Your Arms Around It Play: Shapes on a Plane Investigate: Shape and Not a Shape Big Idea 3: Thinking in Equal Groups Visualize: Sharing Crackers Play: Dozens of Dice Investigate: Playing with Pairs Big Idea 4: Tiling to Understand Area Visualize: Cover Up Play: A Whole New Alphabet Investigate: Sharing an Area Big Idea 5: Seeing Multiplication as Area Visualize: Rods Around Play: Squares and Near-Squares Investigate: Connecting Area and Perimeter Big Idea 6: Understanding Half Visualize: I Spy ½ Play: Spotting ½ Investigate: The Many Shapes of ½ Big Idea 7: Seeing Fractions, Parts, Wholes, and Forms Visualize: Seeing Parts and Wholes Play: Cover, Cut, and Sort Investigate: Taking a Fractional Walk Big Idea 8: Being Flexible with Numbers Visualize: How Many Do You See? Play: How Close to 100? Investigate: Tile and Table Patterns Appendix Centimeter Dot Paper Isometric Dot Paper Grid Paper Dot Paper Grid Paper
JO BOALER 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 Mathematical Mindsets, and numerous research articles, she is a regular contributor to news and radio in the United States and England. JEN MUNSON 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. CATHY WILLIAMS 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.
Engage Your Students in Visual, Creative Explorations of the Big Ideas in Mathematics 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. 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. Filled with engaging questions, open-ended tasks, and four-color visuals, Mindset Mathematics 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.