Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 3

ISBN-13: 9781119358701 / Angielski / Miękka / 2018 / 256 str.

Cathy Williams

Opis

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.

Spis treści

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

O autorze

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.

Blurb

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.