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
Learn how to differentiate math instruction to help all students be successful learners in the secondary mathematics classroom. Featuring 89 new questions, this revised edition uses two powerful and universally applicable strategies-Open Questions and Parallel Tasks-to help teachers differentiate instruction with less difficulty and greater success. This popular book shows teachers how to get started and become expert with these strategies, demonstrating how to use more inclusive learning conversations to promote broader student participation and how to formatively assess understanding. Strategies and examples are organized around Big Ideas and reference common standards. With particular emphasis on algebra, chapters also address number and operations, geometry, measurement including trigonometry, and data analysis and probability. Updated with many new examples and expanded guidelines for teachers to create their own open tasks and questions, More Good Questions, Second Edition is designed to allow students to respond from their own expertise level and to also come together as a math community for the conceptual conversation around a math problem. Book Features: Underscores the rationale for differentiating instruction (DI) with nearly 300 specific examples for grades 6-12 math. Describes easy-to-implement strategies designed to overcome the most common DI problems that teachers encounter. Offers questions and tasks that teachers and coaches can adopt immediately 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. PROFESSIONAL DEVELOPMENT: Visit Marian Small's website onetwoinfinity.ca for in-person and online professional development.
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.