Take a deep dive into the five practices for facilitating productive mathematical discussions
Take a deeper dive into understanding the five practices—anticipating, monitoring, selecting, sequencing, and connecting—for facilitating productive mathematical conversations in your middle school classrooms and learn to apply them with confidence. This follow-up to the modern classic,
Five Practices for Orchestrating Productive Mathematics Discussions, shows the five practices
in action in middle school classrooms and empowers teachers to be prepared for and overcome the challenges common to orchestrating math discussions.
The chapters unpack the five practices and guide teachers to a deeper understanding of how to use each practice effectively in an inquiry-oriented classroom. This book will help you launch meaningful mathematical discussion through
- Key questions to set learning goals, identify high-level tasks, anticipate student responses, and develop targeted assessing and advancing questions that jumpstart productive discussion—before class begins
- Video excerpts from real middle school classrooms that vividly illustrate the five practices in action and include built-in opportunities for you to consider effective ways to monitor students’ ideas, and successful approaches for selecting, sequencing, and connecting students’ ideas during instruction
- ‘Pause and Consider’ prompts that help you reflect on an issue—and, in some cases, draw on your own classroom experience—prior to reading more about it
- ‘Linking To Your Own Instruction’ sections help you implement the five practices with confidence in your own instruction
The book and companion website provide an array of resources including planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks. Enhance your fluency in the five practices to bring powerful discussions of mathematical concepts to life in your classroom.
‘This books takes 5 Practices for Orchestrating Productive Mathematics Discussions to the next level as readers experience what these practices look like in real mathematics classrooms in middle school. The authors specifically address the challenges one might face in implementing the classrooms by providing recommendations and concrete examples to avoid these challenges. This book is a must read for teachers who want to amplify their classroom implementation of the five practices.’
Cathy Martin, Executive Director of Curriculum & Instruction
Denver Public Schools
Cuprins
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
Despre autor
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.