Coaching the 5 Practices

Supporting Mathematics Teachers in Orchestrating Productive Discussions
Margaret (Peg) Smith - University of Pittsburgh, USA
Mary K. (Kay) Stein - University of Pittsburgh, USA
Coaching the 5 Practices
August 2024 | 200 pages | Corwin
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ISBN: 9781071962626
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ISBN: 9781071921333
Available from January 0001

Description

Ambitious teaching requires ambitious coaching

Over a decade ago, the National Council of Teachers of Mathematics (NCTM) and Corwin co-published the modern classic, 5 Practices for Orchestrating Productive Mathematics Discussions, aimed at guiding teachers to improve the quality of mathematics discussions in their classrooms and create an equitable learning environment for students. The bestselling series, The 5 Practices in Practice series, followed to further explore the five practices within grade bands, empowering teachers to overcome challenges in orchestrating mathematics discussions. And now, esteemed mathematics expert Peg Smith and her author team, take the 5 practices to the next level with Coaching the 5 Practices.

Written for coaches, instructional leaders, professional developers, and teacher educators, Coaching the 5 Practices: Supporting Mathematics Teachers in Orchestrating Productive Discussions will be the lynchpin to supporting teachers who are committed to engaging students in productive discussions in mathematics classrooms. The book introduces a coaching model that creates opportunities for teacher learning through one-on-one interactions with a coach. This model focuses on the specific challenges teachers face and opportunities they can lean into as they are learning to support productive mathematics discussions around the 5 practices of anticipating, monitoring, selecting, sequencing, and connecting (as well as Practice 0 of setting goals and selecting tasks).

Through three phases of a coaching cycle—before a lesson, during a lesson, and after a lesson, this coaching model

  • Focuses on ambitious teaching in mathematics, aiming to ensure that every student succeeds in high-quality academic work
  • Follows iterative cycles of various touchpoints between the coach and a teacher
  • Emphasizes what a coach needs to do to support teacher learning throughout the cycle

With narrative examples and vignettes, lesson plans, pre-lesson and post-lesson conference plans, and other artifacts collected from real coaching sessions and classrooms, Coaching the 5 Practices is a valuable resource for education professionals who work with teachers to improve the quality of mathematics instruction. Through the efforts of Coaching the 5 Practices, teachers will continue to refine their craft and become increasingly more skilled at implementing the 5 practices in ways that support the learning of each and every student.

Contents

Preface

Preface

Acknowledgements

Acknowledgements

About the Authors

About the Authors

Chapter 1: A Challenge-Based Approach to Coaching

Chapter 1: A Challenge-Based Approach to Coaching

Chapter 2: An Inquiry Routine for Guiding Coach-Teacher Conversations

Chapter 2: An Inquiry Routine for Guiding Coach-Teacher Conversations

Chapter 3: Preparing for the Lesson

Chapter 3: Preparing for the Lesson

Chapter 4: Preparing for and Engaging in the Pre-Lesson Conference

Chapter 4: Preparing for and Engaging in the Pre-Lesson Conference

Chapter 5: Preparing for the Engaging in the Post-Lesson Conference

Chapter 5: Preparing for the Engaging in the Post-Lesson Conference

Chapter 6: Looking Back and Looking Ahead

Chapter 6: Looking Back and Looking Ahead

References

References

Appendix A. Teacher Challenges Tool

Appendix A. Teacher Challenges Tool

Appendix B. Guide for Designing Conferences

Appendix B. Guide for Designing Conferences

Appendix C. Task Analysis Guide

Appendix C. Task Analysis Guide

Appendix D. Goal and Task Identification Guide

Appendix D. Goal and Task Identification Guide

Appendix E. Lesson Planning Tool

Appendix E. Lesson Planning Tool

Appendix F. Monitoring Tool

Appendix F. Monitoring Tool

Appendix G. Pre-Lesson Conference Planning Tool

Appendix G. Pre-Lesson Conference Planning Tool

Appendix H: Kyle’s Teacher Challenges, Lesson Planning, and Monitoring Tools

Appendix H: Kyle’s Teacher Challenges, Lesson Planning, and Monitoring Tools

Appendix I. Emery’s Teacher Challenges, Lesson Planning, and Monitoring Tools

Appendix I. Emery’s Teacher Challenges, Lesson Planning, and Monitoring Tools

Appendix J. Coach Jesse’s Pre-Lesson Conference Plan

Appendix J. Coach Jesse’s Pre-Lesson Conference Plan

Appendix K: Noticing and Wondering Tool

Appendix K: Noticing and Wondering Tool

Appendix L. Post-Lesson Conference Planning Tool

Appendix L. Post-Lesson Conference Planning Tool

Appendix M. Jamie and Coach Jesse’s Noticing and Wondering Tool

Appendix M. Jamie and Coach Jesse’s Noticing and Wondering Tool

Appendix N. Coach Jesse’s Post-Conference Plan

Appendix N. Coach Jesse’s Post-Conference Plan

Resources

Companion Website

https://qrs.ly/7jfli55

Description

Ambitious teaching requires ambitious coaching

Over a decade ago, the National Council of Teachers of Mathematics (NCTM) and Corwin co-published the modern classic, 5 Practices for Orchestrating Productive Mathematics Discussions, aimed at guiding teachers to improve the quality of mathematics discussions in their classrooms and create an equitable learning environment for students. The bestselling series, The 5 Practices in Practice series, followed to further explore the five practices within grade bands, empowering teachers to overcome challenges in orchestrating mathematics discussions. And now, esteemed mathematics expert Peg Smith and her author team, take the 5 practices to the next level with Coaching the 5 Practices.

Written for coaches, instructional leaders, professional developers, and teacher educators, Coaching the 5 Practices: Supporting Mathematics Teachers in Orchestrating Productive Discussions will be the lynchpin to supporting teachers who are committed to engaging students in productive discussions in mathematics classrooms. The book introduces a coaching model that creates opportunities for teacher learning through one-on-one interactions with a coach. This model focuses on the specific challenges teachers face and opportunities they can lean into as they are learning to support productive mathematics discussions around the 5 practices of anticipating, monitoring, selecting, sequencing, and connecting (as well as Practice 0 of setting goals and selecting tasks).

Through three phases of a coaching cycle—before a lesson, during a lesson, and after a lesson, this coaching model

  • Focuses on ambitious teaching in mathematics, aiming to ensure that every student succeeds in high-quality academic work
  • Follows iterative cycles of various touchpoints between the coach and a teacher
  • Emphasizes what a coach needs to do to support teacher learning throughout the cycle

With narrative examples and vignettes, lesson plans, pre-lesson and post-lesson conference plans, and other artifacts collected from real coaching sessions and classrooms, Coaching the 5 Practices is a valuable resource for education professionals who work with teachers to improve the quality of mathematics instruction. Through the efforts of Coaching the 5 Practices, teachers will continue to refine their craft and become increasingly more skilled at implementing the 5 practices in ways that support the learning of each and every student.

Contents

Preface

Preface

Acknowledgements

Acknowledgements

About the Authors

About the Authors

Chapter 1: A Challenge-Based Approach to Coaching

Chapter 1: A Challenge-Based Approach to Coaching

Chapter 2: An Inquiry Routine for Guiding Coach-Teacher Conversations

Chapter 2: An Inquiry Routine for Guiding Coach-Teacher Conversations

Chapter 3: Preparing for the Lesson

Chapter 3: Preparing for the Lesson

Chapter 4: Preparing for and Engaging in the Pre-Lesson Conference

Chapter 4: Preparing for and Engaging in the Pre-Lesson Conference

Chapter 5: Preparing for the Engaging in the Post-Lesson Conference

Chapter 5: Preparing for the Engaging in the Post-Lesson Conference

Chapter 6: Looking Back and Looking Ahead

Chapter 6: Looking Back and Looking Ahead

References

References

Appendix A. Teacher Challenges Tool

Appendix A. Teacher Challenges Tool

Appendix B. Guide for Designing Conferences

Appendix B. Guide for Designing Conferences

Appendix C. Task Analysis Guide

Appendix C. Task Analysis Guide

Appendix D. Goal and Task Identification Guide

Appendix D. Goal and Task Identification Guide

Appendix E. Lesson Planning Tool

Appendix E. Lesson Planning Tool

Appendix F. Monitoring Tool

Appendix F. Monitoring Tool

Appendix G. Pre-Lesson Conference Planning Tool

Appendix G. Pre-Lesson Conference Planning Tool

Appendix H: Kyle’s Teacher Challenges, Lesson Planning, and Monitoring Tools

Appendix H: Kyle’s Teacher Challenges, Lesson Planning, and Monitoring Tools

Appendix I. Emery’s Teacher Challenges, Lesson Planning, and Monitoring Tools

Appendix I. Emery’s Teacher Challenges, Lesson Planning, and Monitoring Tools

Appendix J. Coach Jesse’s Pre-Lesson Conference Plan

Appendix J. Coach Jesse’s Pre-Lesson Conference Plan

Appendix K: Noticing and Wondering Tool

Appendix K: Noticing and Wondering Tool

Appendix L. Post-Lesson Conference Planning Tool

Appendix L. Post-Lesson Conference Planning Tool

Appendix M. Jamie and Coach Jesse’s Noticing and Wondering Tool

Appendix M. Jamie and Coach Jesse’s Noticing and Wondering Tool

Appendix N. Coach Jesse’s Post-Conference Plan

Appendix N. Coach Jesse’s Post-Conference Plan

Resources

Companion Website

https://qrs.ly/7jfli55
SAGE Publishing Logo

Coaching the 5 Practices

Supporting Mathematics Teachers in Orchestrating Productive Discussions


August 2024 | 200 pages | Corwin

Format Published Date ISBN Price
Paperback 17/01/2023 9781071921333 $38.95
Lifetime 01/02/2026 9781071962626 $36.00

Ambitious teaching requires ambitious coaching

Over a decade ago, the National Council of Teachers of Mathematics (NCTM) and Corwin co-published the modern classic, 5 Practices for Orchestrating Productive Mathematics Discussions, aimed at guiding teachers to improve the quality of mathematics discussions in their classrooms and create an equitable learning environment for students. The bestselling series, The 5 Practices in Practice series, followed to further explore the five practices within grade bands, empowering teachers to overcome challenges in orchestrating mathematics discussions. And now, esteemed mathematics expert Peg Smith and her author team, take the 5 practices to the next level with Coaching the 5 Practices.

Written for coaches, instructional leaders, professional developers, and teacher educators, Coaching the 5 Practices: Supporting Mathematics Teachers in Orchestrating Productive Discussions will be the lynchpin to supporting teachers who are committed to engaging students in productive discussions in mathematics classrooms. The book introduces a coaching model that creates opportunities for teacher learning through one-on-one interactions with a coach. This model focuses on the specific challenges teachers face and opportunities they can lean into as they are learning to support productive mathematics discussions around the 5 practices of anticipating, monitoring, selecting, sequencing, and connecting (as well as Practice 0 of setting goals and selecting tasks).

Through three phases of a coaching cycle—before a lesson, during a lesson, and after a lesson, this coaching model

  • Focuses on ambitious teaching in mathematics, aiming to ensure that every student succeeds in high-quality academic work
  • Follows iterative cycles of various touchpoints between the coach and a teacher
  • Emphasizes what a coach needs to do to support teacher learning throughout the cycle

With narrative examples and vignettes, lesson plans, pre-lesson and post-lesson conference plans, and other artifacts collected from real coaching sessions and classrooms, Coaching the 5 Practices is a valuable resource for education professionals who work with teachers to improve the quality of mathematics instruction. Through the efforts of Coaching the 5 Practices, teachers will continue to refine their craft and become increasingly more skilled at implementing the 5 practices in ways that support the learning of each and every student.


Table Of Contents:

  • Preface
  • Acknowledgements
  • About the Authors
  • Chapter 1: A Challenge-Based Approach to Coaching
  • Chapter 2: An Inquiry Routine for Guiding Coach-Teacher Conversations
  • Chapter 3: Preparing for the Lesson
  • Chapter 4: Preparing for and Engaging in the Pre-Lesson Conference
  • Chapter 5: Preparing for the Engaging in the Post-Lesson Conference
  • Chapter 6: Looking Back and Looking Ahead
  • References
  • Appendix A. Teacher Challenges Tool
  • Appendix B. Guide for Designing Conferences
  • Appendix C. Task Analysis Guide
  • Appendix D. Goal and Task Identification Guide
  • Appendix E. Lesson Planning Tool
  • Appendix F. Monitoring Tool
  • Appendix G. Pre-Lesson Conference Planning Tool
  • Appendix H: Kyle’s Teacher Challenges, Lesson Planning, and Monitoring Tools
  • Appendix I. Emery’s Teacher Challenges, Lesson Planning, and Monitoring Tools
  • Appendix J. Coach Jesse’s Pre-Lesson Conference Plan
  • Appendix K: Noticing and Wondering Tool
  • Appendix L. Post-Lesson Conference Planning Tool
  • Appendix M. Jamie and Coach Jesse’s Noticing and Wondering Tool
  • Appendix N. Coach Jesse’s Post-Conference Plan

Recent Product Reviews:

Coaching the 5 Practices introduces us to a coaching model designed to support teachers as they plan for orchestrating productive discussions. Using this model, coaches work collaboratively with teachers as they engage in an inquiry cycle that reinforces the importance of pre-planning, reflection, and encouragement in a productive teacher-coach relationship. This user-friendly model, along with the additional tools, resources, and samples, is a welcome addition to the 5 Practices family!
Latrenda Knighten, NCTM
What a gem and a “must” for every coach’s professional library. In this clearly written and wonderfully focused book, Smith, Yurekli, and Stein begin with a clear vision of “ambitious teaching” that is based on the powerful structure of the 5 Practices, and develop an accessible, example-laden guide to impactful coaching of mathematics. By focusing on the challenges teachers face, coaches are provided with a coherent process for significantly improving how math is taught.
Steve Leinwand, American Institutes for Research
I love how this book offers explicit guidance on the “how” of coaching for mathematical discourse, deeper conversations, and teaching growth. Coaching the 5 Practices offers transformational tips and features that empower both teachers and coaches. I’m excited to begin implementing this user-friendly and much needed coaching model into my practice.
Desiree Y. Harrison, Farmington Public Schools
As a 5 Practices math coach, I’ve eagerly awaited a resource like Coaching the 5 Practices. After reading, I promptly incorporated strategies—such as facilitating teachers’ reflection and setting clear goals—to enhance my coaching, all while upholding teacher ownership. The inclusion of case studies, coaching conversation scripts, and templates brought the framework to life and enabled me to visualize immediate application. This book is a must-have for all ambitious math coaches!
Mona Iehl, Chicago Math Group
This book centers teachers’ own thinking on their journeys of instructional improvement, and exudes appreciation for the wisdom of practice. This practical guide for coaching is designed with explicit attention to the parallels between ambitious teaching and coaching. The theories of teaching and learning underlying the coaching model and the model itself are rich and relevant for supporting coaches’ and teachers’ learning.
Ruth Heaton, Teachers Development Group

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