Take a deep dive into the five practices for facilitating productive mathematical discussions
Enhance your fluency in the five practices—anticipating, monitoring, selecting, sequencing, and connecting—to bring powerful discussions of mathematical concepts to life in your middle school classroom. This book unpacks the five practices for deeper understanding and empowers you to use each practice effectively.
Includes planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks.
Acknowledgments
About the Authors
Preface
Chapter 1 - Introduction
The Five Practices in Practice: An Overview
Purpose and Content
Classroom Video Context
Meet the Teachers
Using this Book
Norms for Video Viewing
Getting Started!
Chapter 2 - Setting Goals and Selecting Tasks
Part 1 - Unpacking the Practice: Setting Goals and Selecting Tasks
Part 2 - Challenges Teachers Face: Setting Goals and Selecting Tasks
Conclusion
Chapter 3 - Anticipating Student Responses
Part 1 - Unpacking the Practice: Anticipating Student Responses
Part 2 - Challenges Teachers Face: Anticipating Student Responses
Conclusion
Chapter 4 - Monitoring Student Work
Part 1 - Unpacking the Practice: Monitoring Student Work
Part 2 - Challenges Teachers Face: Monitoring Student Work
Conclusion
Chapter 5 - Selecting and Sequencing Student Solutions
Part 1 - Unpacking the Practice: Selecting and Sequencing Student Solutions
Part 2 - Challenges Teachers Face: Selecting and Sequencing Student Solutions
Conclusion
Chapter 6 - Connecting Student Solutions
Part 1 - Unpacking the Practice: Connecting Student Solutions
Part 2 - Challenges Teachers Face: Connecting Student Responses
Conclusion
Chapter 7 - Looking Back and Looking Ahead
Why Use the Five Practices Model
Getting Started with the Five Practices
Plan Lessons Collaboratively
Observe and Debrief Lessons
Reflect on Your Lesson
Video Clubs
Organize a Book Study
Explore Additional Resources
Conclusion
Appendix A - Web-based Resources for Tasks and Lesson Plans
Appendix B - Monitoring Chart
Appendix C - Mrs. Mossotti's Monitoring Chart
Appendix D - Hold All Students Accountable
Appendix E - Lesson Planning Template
Index
Margaret (Peg) Smith is a Professor Emerita at University of Pittsburgh. Over the past three decades she has been developing research-based materials for use in the professional development of mathematics teachers. She has coauthored several books including Five Practices for Orchestrating Productive Discussions (with Mary Kay Stein), the middle and high school versions of the Taking Action series (with Melissa Boston, Fredrick Dillon, Stephen Miller, and Lynn Raith), and The 5 Practices in Practice: Successfully Orchestrating Mathematics Discussion in Your Classroom series (with Victoria Bill, Miriam Gameron Sherin, and Michael Steele). In 2006 she received the Chancellor's Distinguished Teaching Award given annually to honor outstanding faculty at the University of Pittsburgh. In 2009 she received the award for Excellence in Teaching in Mathematics Teacher Education from AMTE. In April 2019 she received the Lifetime Achievement Award from NCTM.