Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 7 by Jo BoalerMindset Mathematics: Visualizing and Investigating Big Ideas, Grade 7 by Jo Boaler

Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 7

byJo Boaler, Jen Munson, Cathy Williams

Paperback | August 27, 2019

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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 seventh-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.

Title:Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 7Format:PaperbackProduct dimensions:304 pages, 8.75 × 6.35 × 0.68 inShipping dimensions:8.75 × 6.35 × 0.68 inPublished:August 27, 2019Publisher:WileyLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:1119357918

ISBN - 13:9781119357919

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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

Note on Materials

Activities for Building Norms

Encouraging Good Group Work

Paper Folding: Learning to Reason, Convince, and Be a Skeptic

Big Idea 1: Connecting 2D & 3D Worlds

Visualize: Seeing Slices

Play: Playing with Clay

Investigate: The Area of Slices

Big Idea 2: Constructing Figures to Scale

Visualize: What is Scale?

Play: A Fishy Image

Investigate: Magnifying Solids

Big Idea 3: Seeing Proportional Relationships

Visualize: Growing Dough

Play: Is It Proportional?

Investigate: Sizing Up Proportions

Big Idea 4: Understanding Percents in the World

Visualize: Painting Percents

Play: Building Benchmarks

Investigate: What’s It Going to Cost?

Big Idea 5: Building Intuition about Probability

Visualize: Is It Fair?

Play: Fair Sums?

Investigate: What’s in the Bag?

Big Idea 6: Modeling Probabilities

Visualize: What’s the Chance of That?

Play: Probability Carnival

Investigate: Go, Go Galton Board!

Big Idea 7: Sampling to Understand Populations

Visualize: Sampling Dots and Beads

Play: Catch and Release

Investigate: Wildlife Populations

Big Idea 8: Operating with Opposites

Visualize: Line Dancing

Play: Integer Tic-Tac-Toe

Investigate: Coordinating Multiplication

Big Idea 9: Using Algebra as a Problem-Solving Tool

Visualize: Case by Case

Play: (Non) Linear Pattern Puzzles

Investigate: Linear Letters

Big Idea 10: Exploring Circles

Visualize: Building Hunches about Circumference

Play: Dissecting Circle Area

Investigate: Unraveling Circles

Appendix

Centimeter Grid Paper

1” Grid Paper

Snap Cube Grid Paper

Isometric Dot paper

Dot Paper

About the Authors

Acknowledgments

Index