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The Five Practices in Practice
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The Five Practices in Practice
Successfully Orchestrating Mathematical Discourse in Your Middle School Classroom

Foreword by Dan Meyer



March 2019 | 232 pages | Corwin

"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
Curriculum & Instruction
Denver Public Schools

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.

 
 
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

Every middle school math teacher needs to understand the practices in this book and know how to use them effectively in the classroom. Use of these practices will empower middle school students to understand mathematics and feel like they can do math!

Lois A. Williams, Ed.D., Adjunct Professor, Mathematics Education Consultant, Author
Mary Baldwin University

This is a powerful and readable guide to shifting our middle school mathematics instruction toward maximizing our students' learning.  But it's the clarity and familiarity of the challenges we all face when trying to implement these five practices - and the practicality and detail of the guidance provided in each chapter to address these challenges - that set this book apart and make it so useful for professional growth.

Steve Leinwand, Researcher/Change Agent
American Institutes for Research

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 grades 6-8. Readers will engage in analysis of videos and student work as they deepen their understanding of the five practices. The authors specifically address the challenges one might face in implementing the classrooms by providing recommendations and concrete examples to avoid these challenges.

Cathy Martin, Executive Director, Curriculum & Instruction
Denver Public Schools

Smith and Sherin have hit a home run with this book.  Research has shown the importance of effective discussion in the mathematics classroom.  This book provides the structure and practices to implement discussion as well as classroom scenarios and illustrations to bring those practices to light.  It is a must read for any middle school teacher and those who work with middle school teachers.  Student understanding of math will be improved through the implementation of the ideas in this book.

Kevin Dykema, 8th Grade Math Teacher
Mattawan Consolidated Schools

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ISBN: 9781544321189