List of Video Clips
Foreword - Dan Meyer
Acknowledgments
About the Authors
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 One: Unpacking the Practice: Setting Goals and Selecting Tasks
Specifying the Learning Goal
Identifying a High-Level Task That Aligns With the Goal
Cori Moran's Attention to Key Questions: Setting Goals and Selecting Tasks
Part Two: Challenges Teachers Face: Setting Goals and Selecting Tasks
Identifying Learning Goals
Identifying a Doing-Mathematics Task
Ensuring Alignment Between Task and Goals
Launching a Task to Ensure Student Access
Conclusion
Chapter 3: Anticipating Student Responses
Part One: Unpacking the Practice: Anticipating Student Responses
Getting Inside the Problem
Planning to Respond to Student Thinking
Planning to Notice Student Thinking
Cori Moran's Attention to Key Questions: Anticipating
Part Two: Challenges Teachers Face: Anticipating Student Responses
Moving Beyond the Way YOU Solved the Problem
Being Prepared to Help Students Who Cannot Get Started
Creating Questions That Move Students Toward the Mathematical Goal
Conclusion
Chapter 4: Monitoring Student Work
Part One: Unpacking the Practice: Monitoring Student Work
Tracking Student Thinking
Assessing Student Thinking
Advancing Student Thinking
Cori Moran's Attention to Key Questions: Monitoring
Part Two: Challenges Teachers Face: Monitoring Student Work
Trying to Understand What Students Are Thinking
Keeping Track of Group Progress
Involving All Members of a Group
Conclusion
Chapter 5: Selecting and Sequencing Student Solutions
Part One: Unpacking the Practice: Selecting and Sequencing Student Solutions
Identifying Student Work to Highlight
Purposefully Selecting Individual Presenters
Establishing a Coherent Storyline
Cori Moran's Attention to Key Questions: Selecting and Sequencing
Part Two: Challenges Teacher Face: Selecting and Sequencing Student Solutions
Selecting Only Solutions Relevant to Learning Goals
Expanding Beyond the Usual Presenters
Deciding What Work to Share When the Majority of Students Were Not Able to Solve the Task
Determining How to Sequence Incorrect and/or Incomplete Solutions
Conclusion
Chapter 6: Connecting Student Solutions
Part One: Unpacking the Practice: Connecting Student Solutions
Connecting Student Work to the Goals of the Lesson
Connecting Different Solutions to Each Other
Cori Moran's Attention to Key Questions: Connecting
Part Two: Challenges Teachers Face: Connecting Student Responses
Keeping the Entire Class Engaged and Accountable During Individual Presentations
Ensuring That Key Mathematical Ideas are Made Public and Remain the Focus
Making Sure That You Do Not Take Over the Discussion and Do The Explaining
Running Out of Time
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
Frequency and Timing of Use of the Five Practices Model
Conclusion
Resources
Appendix A-Web-based Resources for Tasks and Lesson Plans
Appendix B-Monitoring Chart
Appendix C-Ms. Moran's Monitoring Chart
Appendix D-Resources for Holding Students Accountable
Appendix E-Lesson-Planning Template
References
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.
Take a deep dive into the five practices for faciliting productive mathematical discussons
Enhance your fluency in the five practices-anticipating, monitoring, selecting, sequencing, and connecting-to bring powerful discussions of mathematical concepts to life in your high school classroom. This book unpacks the five practices for deeper understanding and empowers you to use each practice effectively.
· Video excerpts vividly illustrate the five practices in action in real high school classrooms
· Key questions help you set learning goals, identify high-level tasks, and jumpstart discussion
· Prompts guide you to be prepared for and overcome common challenges
Includes planning templates, sample lesson plans, completed monitoring tools, and mathematical tasks.