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.
Low Floor, High Ceiling Tasks
Youcubed Summer Camp
Memorization vs. Conceptual Engagement
Mathematical Thinking, Reasoning and Convincing
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
Centimeter Dot Paper
Isometric Dot 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.