Good questions : great ways to differentiate mathematics instruction

Expanded to include connections to Common Core State Standards (CCSS), as well as National Council of Teachers of Mathematics (NCTM) standards, this critically acclaimed book will help every teacher and coach to meet the challenges of differentiating mathematics instruction in the K-8 classroom. In this bestseller, math education expert Marian Small explains two powerful and universal strategies that teachers can use across all math content: Open Questions and Parallel Tasks. Showing teachers how to get started and become expert with these strategies, Small also demonstrates more inclusive learning conversations that promote broader student participation and mathematical thinking required by CCSS. Specific strategies and examples for each grade band are organized around NCTM content strands: Number and Operations, Geometry, Measurement, Algebra, and Data Analysis and Probability.

The new second edition features:

Icons that link questions and tasks to specific Common Core State Standards. Many new examples with almost 300 questions and tasks that teachers and coaches can adopt or use as models to create their own. Teaching Tips sidebars. A template at the end of each chapter to help readers build new tasks and open questions. Guidance for creating a more inclusive classroom learning community with mathematical talk that engages participants from all levels.

Marian Small is available for in-person and online professional development. Visit her website at http://www.onetwoinfinity.ca

Praise for the First Edition!

"A must for any educator who is serious about reaching more students more often and achieving more positive results." --Resources for the Mathematics Educator

"This is a valuable book for mathematics teachers, teacher educators, and faculty involved in differentiated instruction." --Choice

"This book is a great resource, with realistic applications to current instruction and tips for creating solid math discourse with your students." --Mathematics Teaching in the Middle School

"The glossary is a great resource for math language, and the index of big ideas provides a snapshot of focus points...I highly recommend this user-friendly resource for all mathematics teachers." --Teaching Children Mathematics

"User-friendly teaching examples of questions and tasks will enable teachers to empower learners on all levels, and the tasks are presented with real-world scenarios that students will relate to as intriguing challenges." --Carolyn Chapman, Creative Learning Connections, Inc., and Rita King, King Learning Associates, consultants and co-authors of books on differentiated instruction and assessment

Author Notes

Marian Small is the former Dean of Education at the University of New Brunswick. A longtime professor of mathematics education, she speaks widely and consults with schools and districts to help teachers and coaches in the United States, Canada, and Bhutan. Her student texts and teacher professional materials include the PRIME series, and she coauthored titles in the NCTM Navigation Series.

Reviews (1)

Choice Review

Effective teaching is possible only when each student's needs are addressed. However, because students' needs vary significantly from one another, differentiating instruction is one of the most challenging tasks for teachers. This book presents mathematical questions and tasks that teachers can use to differentiate instruction in preK-8 classrooms. Using Vygotsky's zone of proximal development as a guide, the author emphasizes that the mathematical tasks must focus on big ideas, yet provide an avenue for each student to engage in the task based on ability level. In order to address this need, Small (formerly, Univ. of New Brunswick, Canada) provides open questions and parallel tasks for all of the five National Council of Teachers of Mathematics content standards:numbers and operations, geometry, measurement, algebra, and data analysis and probability across three grade bands (preK-2, 3-5, and 6-8). The suggested questions, problems, and tasks are flexible enough for teachers to implement in their classrooms easily. This is a valuable book for mathematics teachers, teacher educators, and faculty involved in differentiated instruction. Summing Up: Recommended. Graduate, research, and professional collections. H. P. Koirala Eastern Connecticut State University

Diane Heacox

Foreword	p. vii
Preface	p. ix
Organization of the Book	p. ix
Organization of the Content Chapters	p. xi
Changes in the Second Edition	p. xi
Acknowledgments	p. xv
1 Why and How to Differentiate Math Instruction	p. 1
The Challenge in Math Classrooms	p. 1
What It Means to Meet Student Needs	p. 3
Assessing Students' Needs	p. 4
Principles and Approaches to Differentiating Instruction	p. 4
Two Core Strategies for Differentiating Mathematics Instruction: Open Questions and Parallel Tasks	p. 6
Creating a Math Talk Community	p. 14
2 Number and Operations	p. 15
Topics	p. 15
The Big Ideas for Number and Operations	p. 16
Open Questions for Prekindergarten-Grade 2	p. 17
Open Questions for Grades 3-5	p. 29
Open Questions for Grades 6-8	p. 40
Parallel Tasks for Prekindergarten-Grade 2	p. 48
Parallel Tasks for Grades 3-5	p. 55
Parallel Tasks for Grades 6-8	p. 65
Summing Up	p. 72
3 Geometry	p. 73
Topics	p. 73
The Big Ideas for Geometry	p. 74
Open Questions for Prekindergarten-Grade 2	p. 75
Open Questions for Grades 3-5	p. 81
Open Questions for Grades 6-8	p. 89
Parallel Tasks for Prekindergarten-Grade 2	p. 97
Parallel Tasks for Grades 3-5	p. 101
Parallel Tasks for Grades 6-8	p. 106
Summing Up	p. 110
4 Measurement	p. 111
Topics	p. 111
The Big Ideas for Measurement	p. 112
Open Questions for Prekindergarten-Grade 2	p. 113
Open Questions for Grades 3-5	p. 117
Open Questions for Grades 6-8	p. 123
Parallel Tasks for Prekindergarten-Grade 2	p. 126
Parallel Tasks for Grades 3-5	p. 130
Parallel Tasks for Grades 6-8	p. 135
Summing-Up	p. 140
5 Algebra	p. 141
Topics	p. 141
The Big Ideas for Algebra	p. 142
Open Questions for Prekindergarten-Grade 2	p. 143
Open Questions for Grades 3-5	p. 146
Open Questions for Grades 6-8	p. 151
Parallel Tasks for Prekindergarten-Grade 2	p. 156
Parallel Tasks for Grades 3-5	p. 158
Parallel Tasks for Grades 6-8	p. 161
Summing Up	p. 164
6 Data Analysis and Probability	p. 165
Topics	p. 165
The Big Ideas for Data Analysis and Probability	p. 166
Open Questions for Prekindergarten-Grade 2	p. 167
Open Questions for Grades 3-5	p. 172
Open Questions for Grades 6-8	p. 175
Parallel Tasks for Prekindergarten-Grade 2	p. 183
Parallel Tasks for Grades 3-5	p. 186
Parallel Tasks for Grades 6-8	p. 189
Summing Up	p. 198
Conclusions	p. 199
The Need for Manageable Strategies	p. 199
Developing Open Questions and Parallel Tasks	p. 200
The Benefits of These Strategies	p. 202
Appendix: Worksheet for Open Questions and Parallel Tasks	p. 203
Glossary	p. 205
Bibliography	p. 215
Index	p. 219
Index of Subjects and Cited Authors	p. 219
Index of Big Ideas	p. 221
About the Author	p. 223

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Author Notes

Reviews (1)

Choice Review

Table of Contents