Full Description
Now in its Fourth Edition?with more than 50 new questions and a new chapter on financial literacy?this bestselling resource helps experienced and novice teachers effectively and efficiently differentiate mathematics instruction in grades K-8. Math education expert Marian Small shows teachers how to get started and become expert at using two powerful and universal strategies: Open Questions and Parallel Tasks. This edition is even easier for teachers to use in all quality state standards environments, including direct links to content standards and standards for mathematical practice. Parallel tasks and question examples are provided at each grade band: K-2, 3-5, and 6-8. Along with each example, the text describes how teachers can evoke productive conversations that meet the needs of a broad range of learners.
Book Features:
New tasks and questions to develop financial literacy.
Connection of tasks and questions to standards and mathematical big ideas.
About 500 tasks and questions that teachers can adapt or use as-is.
Teaching tips and task variations.
A template to help teachers build new tasks.
"Look-fors" to see student thinking and diagnose difficulties.
Guidance for using follow-up questions and math conversations to create a rich math classroom.
Contents
Contents
Foreword ix
by Carol Ann TomlinsonPreface 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
