More Good Questions: Great Ways to Differentiate Secondary Mathematics Instruction [NOOK Book]

Overview

We know that Differentiated Instruction helps all students to learn. Yet DI challenges teachers, and nowhere more than in mathematics. In this new book, written specifically for secondary mathematics teachers, the authors cut through the difficulties with two powerful and universal strategies that teachers can use across all math content: Open questions and Parallel tasks. Showing teachers how to get started and become expert with these strategies, this book also demonstrates how to use more inclusive learning ...

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More Good Questions: Great Ways to Differentiate Secondary Mathematics Instruction

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Overview

We know that Differentiated Instruction helps all students to learn. Yet DI challenges teachers, and nowhere more than in mathematics. In this new book, written specifically for secondary mathematics teachers, the authors cut through the difficulties with two powerful and universal strategies that teachers can use across all math content: Open questions and Parallel tasks. Showing teachers how to get started and become expert with these strategies, this book also demonstrates how to use more inclusive learning conversations to promote broader student participation. Strategies and examples are organized around Big Ideas within the National Council of Teachers of Mathematics (NCTM) content strands. With particular emphasis on Algebra, chapters also address Number and Operations, Geometry, Measurement, and Data Analysis and Probability, with examples included for Pre-Calculus.

To help teachers differentiate math instruction with less difficulty and greater success, this resource:

  • Underscores the rationale for differentiating secondary math instruction.
  • Provides specific examples for secondary math content.
  • Describes two easy-to-implement strategies designed to overcome the most common DI problems that teachers encounter.
  • Offers almost 300 questions and tasks that teachers and coaches can adopt immediately, adapt, or use as models to create their own, along with scaffolding and consolidating questions.
  • Includes Teaching Tips sidebars and an organizing template at the end of each chapter to help teachers build new tasks and open questions.
  • Shows how to create a more inclusive classroom learning community with mathematical talk that engages participants from all levels.

Praise for Marian Small’s first book on Differentiating Instruction:

“A groundbreaking effort by one of the most respected contributors in our field. Good Questions is a must for any educator who is serious about reaching more students more often and achieving more positive results.”
Tim McNamara, national K–12 math consultant and professional developer

“Marian Small is at it again! For decades she has been able to assess what teachers need and provide them with mathematically sound, well-crafted instructional strategies that promote important mathematical foundations for all students.”
Francis (Skip) Fennell, Past President, National Council of Teachers of Mathematics

“Planning math lessons for all students’ unique levels of understanding is a complex task, but this easy-to-use resource shows teachers how to meet varying developmental levels with a single lesson.” 
Carolyn Chapman, Creative Learning Connections, Inc., and Rita King, King Learning Associates, consultants

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Product Details

  • ISBN-13: 9780807773024
  • Publisher: Teachers College Press
  • Publication date: 3/11/2014
  • Sold by: Barnes & Noble
  • Format: eBook
  • Sales rank: 910,848
  • File size: 2 MB

Table of Contents

Preface vii

Organization of the Book vii

Organization of the Content Chapters ix

Acknowledgments xi

1 Why and How to Differentiate Math Instruction 1

The Challenge in Math Classrooms 1

The Particular Challenge in Grades 6-12 2

What It Means to Meet Student Needs 2

Assessing Students' Needs 2

Principles and Approaches to Differentiating Instruction 3

Two Core Strategies for Differentiating Mathematics Instruction: Open Questions and Parallel Tasks 7

Creating a Math Talk Community 16

2 Algebra 17

Topics 17

The Big Ideas for Algebra 18

Open Questions for Grades 6-8 19

Open Questions for Grades 9-12 29

Parallel Tasks for Grades 6-8 46

Parallel Tasks for Grades 9-12 52

Summing Up 61

3 Number and Operations 63

Topics 63

The Big Ideas for Number and Operations 64

Open Questions for Grades 6-8 64

Open Questions for Grades 9-12 73

Parallel Tasks for Grades 6-8 78

Parallel Tasks for Grades 9-12 84

Summing Up 88

4 Geometry 89

Topics 89

The Big Ideas for Geometry 90

Open Questions for Grades 6-8 91

Open Questions for Grades 9-12 100

Parallel Tasks for Grades 6-8 109

Parallel Tasks for Grades 9-12 115

Summing Up 122

5 Measurement 123

Topics 123

The Big Ideas for Measurement 124

Open Questions for Grades 6-8 124

Open Questions for Grades 9-12 132

Parallel Tasks for Grades 6-8 141

Parallel Tasks for Grades 9-12 145

Summing Up 151

6 Data Analysis and Probability 153

Topics 153

The Big Ideas for Data Analysis and Probability 154

Open Questions for Grades 6-8 155

Open Questions for Grades 9-12 163

Parallel Tasks for Grades 6-8 172

Parallel Tasks for Grades 9-12 178

Summing Up 186

Conclusions 187

The Need for Manageable Strategies 187

Developing Open Questions and Parallel Tasks 188

The Benefits of These Strategies 189

Appendix: Worksheet for Open Questions and Parallel Tasks 191

Glossary 193

Bibliography 206

Index 208

Index of Subjects and Cited Authors 208

Index of Big Ideas 210

About the Authors 212

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