More Good Questions: Great Ways to Differentiate Secondary Mathematics Instruction

ISBN-13: 9780807766873 / Angielski / Twarda / 2022

Marian Small; Amy Lin

Spis treści

• 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