Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 3 (Paperback)

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