Mindset Mathematics · Visualizing and Investigating Big Ideas by Boaler, Jo -- Read -- Imperial Library of Trantor

Index

Cover Table of Contents Introduction

Low‐Floor, High‐Ceiling Tasks Youcubed Summer Camp Memorization versus Conceptual Engagement Mathematical Thinking, Reasoning, and Convincing Big Ideas Structure of the Book References

Note on Materials

Manipulatives and Materials Used in This Book

Activities for Building Norms

Encouraging Good Group Work Paper Folding: Learning to Reason, Convince, and Be Skeptical Paper Folding: Learning to Reason, Convince, and Be a Skeptic

BIG IDEA 1: Taking Apart Prisms and Polygons

How Big Is the Footprint? Reference Quadrilateral in Question Polygon 1 Polygon 2 Polygon 3 Polygon 4 Shards of a Shape Shards of a Shape Shards of a Shape Outline Rising from the Footprint Shanghai Skyline U‐Shaped Building Footprint Building Footprint A Building Footprint B Building Footprint C Building Footprint D

BIG IDEA 2: Folding and Unfolding Objects

Folding Cubes in Your Mind Folding in Your Mind Open Box Net A Open Box Net B Open Box Net C Open Box Net D Folding Nets in Your Mind Folding a Net in Your Mind Net Set A Net Set B Net Set C Net Set D Net Set E Net Set F Net Set G Net Set H Filling Our Nets Net‐from‐a‐Square

BIG IDEA 3: Expanding the Number Line

Reference Folding around Zero Bouncing around the Number Line Target Number Going 2‐D Coordinate Plane Two Lines on a Plane

BIG IDEA 4: Finding and Using Unit Rates

Seeing Unit Rates Tiling Pattern Tiling Pattern Recording Sheet Seeing the Best Deal Water Bottle Price Sheet What’s the Best Deal? Cards How Fast Do You Walk?

BIG IDEA 5: Reasoning with Proportions

Jump! Jump! Reference Animal Jump Graph Seeing Animals in a New Way Animal Data Task Cards Animal Data Task Cards A Seat at the Table Restaurant Table Unit Table Table

BIG IDEA 6: Visualizing the Center and Spread of Data

The Shape of Data Atlantic Hurricanes of 2017 Atlantic Hurricanes of 2007 Atlantic Hurricanes of 1997 Atlantic Hurricanes of 1987 Atlantic Hurricanes of 1977 What Does Mean Mean? When Does Mean = Median = Mode = Range? Data Set Challenge Task Cards

BIG IDEA 7: Using Symbols to Describe the World

Cuisenaire Rod Equivalents Cuisenaire Rod Equivalents Design Your Own Cuisenaire Rod Equivalents Math Mobiles Reference Math Mobile Puzzle Mobile Puzzle 1 Mobile Puzzle 2 Mobile Puzzle 3 Mobile Puzzle 4 Radial Patterns Radial Pattern

BIG IDEA 8: Generalizing

Generalizing Number Patterns Number Mystery Line Plot Generalizing Strategy Reference Pennies and Paperclips Game Board Pennies and Paperclips Evidence Generalizing Visual Patterns 3 × 3 Toothpick Square

Appendix

Centimeter Grid Paper Grid Paper 1” Grid Paper Isometric Dot Paper Dot Paper

About the Authors Acknowledgments Index End User License Agreement

← Prev
Back
Next →

← Prev
Back
Next →