More Good Questions: Great Ways to Differentiate Secondary Mathematics Instruction
224
More Good Questions: Great Ways to Differentiate Secondary Mathematics Instruction
224Paperback
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Overview
We Know that Differentiated Instruction (DI) 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.
Product Details
| ISBN-13: | 9780807750889 |
|---|---|
| Publisher: | Teachers College Press |
| Publication date: | 05/15/2010 |
| Series: | Education & Psychology of the Gifted Series |
| Pages: | 224 |
| Product dimensions: | 6.90(w) x 9.90(h) x 0.50(d) |
| Age Range: | 18 Years |
About the Author
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
What People are Saying About This
“The more I read, the more excited I got, because this book answers the question that is on the tip of every teacher’s tongue: How do I reach all my students, when my students are all over the place? The plethora of examples of questions and tasks, along with suggestions for variations and teaching tips, give teachers everything to do this and to do it well.”—From the Foreword by Nicki Newton, author and education consultant
“This book provides teachers with an invaluable source of questions that are not only good for getting students to think, but are also clearly linked to curriculum—something every teacher wants.”—Peter Liljedahl, professor, Simon Fraser University