More Good Questions

Marian Small is an international professional developer, conference speaker, bestselling author, a former dean of education at the University of New Brunswick, and longtime professor of mathematics education. Visit Marian's website at www.onetwoinfinity.ca for in-person and online professional development. Amy Lin is the director of teaching and learning at Seneca College. Amy has worked as a teacher in elementary, secondary, and post-secondary levels and as a mathematics coach, a curriculum consultant, administrator, and ministry researcher.

Contents Foreword, by Nicki Newton vii Preface ix Organization of the Book ix Organization of the Content Chapters x Changes in the Second Edition xi Acknowledgments xiii 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 3 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 14 2 Algebra and Functions 17 Topics 17 The Big Ideas for Algebra and Functions 18 Open Questions for Grades 6-8 19 Open Questions for Grades 9-12 31 Parallel Tasks for Grades 6-8 52 Parallel Tasks for Grades 9-12 60 Summing Up 70 3 Number 71 Topics 71 The Big Ideas for Number 72 Open Questions for Grades 6-8 72 Open Questions for Grades 9-12 82 Parallel Tasks for Grades 6-8 88 Parallel Tasks for Grades 9-12 96 Summing Up 100 4 Geometry 101 Topics 101 The Big Ideas for Geometry 102 Open Questions for Grades 6-8 103 Open Questions for Grades 9-12 111 Parallel Tasks for Grades 6-8 119 Parallel Tasks for Grades 9-12 124 Summing Up 128 5 Measurement 129 Topics 129 The Big Ideas for Measurement 130 Open Questions for Grades 6-8 131 Open Questions for Grades 9-12 139 Parallel Tasks for Grades 6-8 150 Parallel Tasks for Grades 9-12 154 Summing Up 160 6 Statistics and Probability 161 Topics 161 The Big Ideas for Statistics and Probability 162 Open Questions for Grades 6-8 163 Open Questions for Grades 9-12 174 Parallel Tasks for Grades 6-8 182 Parallel Tasks for Grades 9-12 191 Summing Up 198 Conclusions 199 The Need for Manageable Strategies 199 Developing Open Questions and Parallel Tasks 200 The Benefits of These Strategies 201 Appendix A: Mathematical Practices Addressed in This Resource 203 Appendix B: Worksheet for Open Questions and Parallel Tasks 204 Glossary 206 Bibliography 220 Index 222 Index of Subjects and Cited Authors 222 Index of Big Ideas 224 About the Authors 226

" More Good Questions supports readers in enacting, improving, and maintaining differentiation practices within their own classroom context." -Teachers College Record