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The Five Practices in Practice [High School]
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The Five Practices in Practice [High School]
Successfully Orchestrating Mathematics Discussions in Your High School Classroom

First Edition
Additional resources:


March 2020 | 264 pages | Corwin

“This book makes the five practices accessible for high school mathematics teachers. Teachers will see themselves and their classrooms throughout the book. High school mathematics departments and teams can use this book as a framework for engaging professional collaboration. I am particularly excited that this book situates the five practices as ambitious and equitable practices.”

Robert Q. Berry, III

NCTM President 2018-2020

Samuel Braley Gray Professor of Mathematics Education, University of Virginia

Take a deeper dive into understanding the five practices—anticipating, monitoring, selecting, sequencing, and connecting—for facilitating productive mathematical conversations in your high school classrooms and learn to apply them with confidence. This follow-up to the modern classic, 5 Practices for Orchestrating Productive Mathematics Discussions, shows the five practices in action in high 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 high 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, 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.


 
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

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ISBN: 9781544321233
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