Good Questions: Great Ways to Differentiate Mathematics Instruction in the Standards-Based Classroom

ISBN-13: 9780807764664 / Angielski / Miękka / 2020 / 290 str.

Marian Small; Carol Ann Tomlinson

Spis treści

• Contents
• Foreword ix
• by Carol Ann Tomlinson

  Preface xi

• Organization of the Book xi
• Mathematical Practice Standards xii
• Changes in the Fourth Edition xiii
• Acknowledgments xiv
• Introduction: Why and How to Differentiate Math Instruction 1
• The Challenge in Math Classrooms 1
• What It Means to Meet Student Needs 3
• Assessing Students’ Needs 4
• Principles and Approaches to Differentiating Instruction 4
• Two Core Strategies for Differentiating Mathematics Instruction: Open Questions and Parallel Tasks 6
• Creating a Math Talk Community 13
• 1  Counting & Cardinality and Number & Operations in Base Ten 17
• Topics 17
• The Big Ideas for Counting & Cardinality and for Number & Operations in Base Ten 18
• Open Questions for Prekindergarten–Grade 2 19
• Open Questions for Grades 3–5 28
• Parallel Tasks for Prekindergarten–Grade 2 36
• Parallel Tasks for Grades 3–5 43
• Summing Up 48
• 2  Number & Operations—Fractions 49
• Topics 49
• The Big Ideas for Number & Operations—Fractions 50
• Open Questions for Grades 3–5 51
• Parallel Tasks for Grades 3–5 57
• Summing Up 64
• 3  The Number System 65
• Topics 65
• The Big Ideas for The Number System 65
• Open Questions for Grades 6–8 66
• Parallel Tasks for Grades 6–8 70
• Summing Up 74
• 4  Ratios & Proportional Relationships 75
• Topics 75
• The Big Ideas for Ratios & Proportional Relationships 76
• Open Questions for Grades 6–8 76
• Parallel Tasks for Grades 6–8 84
• Summing Up 90
• 5  Operations & Algebraic Thinking 91
• Topics 91
• The Big Ideas for Operations & Algebraic Thinking 92
• Open Questions for Prekindergarten–Grade 2 93
• Open Questions for Grades 3–5 98
• Parallel Tasks for Prekindergarten–Grade 2 108
• Parallel Tasks for Grades 3–5 111
• Summing Up 116
• 6  Expressions & Equations and Functions 117
• Topics 117
• The Big Ideas for Expressions & Equations and for Functions 118
• Open Questions for Grades 6–8 118
• Parallel Tasks for Grades 6–8 128
• Summing Up 134
• 7  Financial Literacy 135
• Topics 135
• The Big Ideas for Financial Literacy 136
• Open Questions for Prekindergarten–Grade 2 137
• Open Questions for Grades 3–5 139
• Open Questions for Grades 6–8 143
• Parallel Tasks for Prekindergarten–Grade 2 147
• Parallel Tasks for Grades 3–5 149
• Parallel Tasks for Grades 6–8 151
• Summing Up 156
• 8  Measurement & Data 157
• Topics 157
• The Big Ideas for Measurement & Data 158
• Open Questions for Prekindergarten–Grade 2 159
• Open Questions for Grades 3–5 169
• Parallel Tasks for Prekindergarten–Grade 2 181
• Parallel Tasks for Grades 3–5 187
• Summing Up 196
• 9  Geometry 197
• Topics 197
• The Big Ideas for Geometry 198
• Open Questions for Prekindergarten–Grade 2 199
• Open Questions for Grades 3–5 205
• Open Questions for Grades 6–8 211
• Parallel Tasks for Prekindergarten–Grade 2 224
• Parallel Tasks for Grades 3–5 227
• Parallel Tasks for Grades 6–8 231
• Summing Up 240
• 10  Statistics & Probability 241
• Topics 241
• The Big Ideas for Statistics & Probability 242
• Open Questions for Grades 6–8 243
• Parallel Tasks for Grades 6–8 252
• Summing Up 262
• Conclusions 263
• The Need for Manageable Strategies 263
• Developing Open Questions and Parallel Tasks 264
• The Benefits of These Strategies 266
• Appendix A: Mathematical Practices Addressed in This Resource 267
• Appendix B: Worksheet for Open Questions and Parallel Tasks 268
• Glossary 270
• Bibliography 280
• Index 283
• Index of Subjects and Cited Authors 283
• Index of Big Ideas 286
• About the Author 290