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Five Practices in Practice [ Elementary]: Successfully Orchestrating Mathematics Discussions in Your Elementary Classroom [Paperback / softback]

4.10/5 (58 ratings by Goodreads)
  • Format: Paperback / softback, 240 pages, height x width: 254x177 mm, weight: 460 g
  • Series: Corwin Mathematics Series
  • Pub. Date: 07-Nov-2019
  • Publisher: Corwin Press Inc
  • ISBN-10: 1544321139
  • ISBN-13: 9781544321134
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  • Price: 44,64 €
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  • Format: Paperback / softback, 240 pages, height x width: 254x177 mm, weight: 460 g
  • Series: Corwin Mathematics Series
  • Pub. Date: 07-Nov-2019
  • Publisher: Corwin Press Inc
  • ISBN-10: 1544321139
  • ISBN-13: 9781544321134
Other books in subject:
"Neither a love of students nor a love of mathematics can sustain the work of math education on its own. We work with math students, a composite of their mathematical ideas and their identities as people. The five practices for orchestrating productive mathematical discussions, and these ideas for putting those practices into practice, offer the actions that can develop and sustain the belief that both math and students matter."  From the Foreword by Dan Meyer, Chief Academic Officer, Desmos 

Take a deeper dive into understanding the five practicesanticipating, monitoring, selecting, sequencing, and connectingfor facilitating productive mathematical conversations in your elementary 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 Grades K-5 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 discussionbefore class begins  Video excerpts from real elementary 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 issueand, in some cases, draw on your own classroom                   experienceprior 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.

Reviews

"This book is so incredibly practical and grounded in the hands-on implementation of the five practices! It takes the ideas of the earlier book, which focused more on the "what" of each practice, and looks closer at the when, why, and how that is so important for teachers in their planning. In each chapter, I found myself nodding in agreement as the authors described challenges in using the five practices and thoroughly enjoyed the opportunities to reflect on the practices in relation to my own planning and teaching." -- Kristin Gray "This is a powerful and readable guide to shifting our elementary school mathematics instruction toward maximizing our students learning. But its the clarity and familiarity of the challenges we all face when trying to implement these five practicesand the practicality and detail of the guidance provided in each chapter to address these challengesthat set this book apart and make it so useful for professional growth." -- Steve Leinwand "This book is packed with practical guidance, support, and actual footage of what it looks like to enact ambitious teaching through these practices. If theres a teacher or leader out there wondering how to ensure their classroom embraces ambitious teaching that is empowering and equitable, this is your guide. Read it. Practice it. Make it yours. There just isnt anything else out there pushing us to think and act as strategically in our math classrooms like this does." -- Levi J. Patrick "Peg Smith has done it again. Building on her previous work with Mary Kay Stein (2018), Smith and coauthors Miriam Sherin and Victoria Bill have taken the next step in supporting teachers to engage students in rich mathematics discussions. Filled with examples and insights, both in print and on video, this book allows teachers to see it in action, make sense, and reflect on the challenges, and it provides support and guidance to implement the five practices in their own instruction. Perfect for teachers, teacher leaders, coaches, or others who support teachers in their instructional practices, this book literally connects theory to practice and provides honest and thoughtful reflections and guidance to work towards our ultimate goalsstudents mathematics learning and agency." -- Cynthia H. Callard "Every elementary 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 elementary school students to understand mathematics and feel like they can do math!" -- Lois A. Williams "This book is a comprehensive, ready-to-use, professional development plan inside a books covers! Its components include student work, classroom video, features addressing challenges teachers face, as well as providing reflective opportunities to pause and consider. This amazing, must-have resource will truly engage elementary school mathematics teachers in doing The 5 Practices." -- Francis (Skip) Fennell "This book 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 K5. 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 five practices in classrooms by providing recommendations and concrete examples to avoid these challenges." -- Cathy Martin "As an elementary math teacher, nothing has helped me become more intentional and purposeful than the 5 Practices. In a continued effort to move student thinking forward, I really appreciated how the authors walked us through specific K5 examples because this will definitely help me improve my craft." -- Ruth M. Heaton "At Illustrative Mathematics we were looking for a framework that would enable us to embed in our curriculum ambitious but achievable goals for teacher practice. The five practices was the perfect fit: a memorable, learnable set of principles that could be used by novice and veteran teachers alike to get their students thinking and sharing their reasoning." -- Bill McCallum "Mathematical discourse is the heart of effective instruction, but is challenging to implement well. Finally, this book provides a step-by-step guide for bringing the five practices for orchestrating discourseanticipating, monitoring, selecting, sequencing, and connectingfully into classroom practice at the elementary level. Through video examples, tasks, and student work, the authors provide practical advice for engaging young students in powerful class discussions centered on their strategies and mathematical thinking. This book is an invaluable professional resource." -- DeAnn Huinker "This book is a must for all elementary teachers who want to teach mathematics deeply and equitably, or as Smith, Bill, and Sherin writeambitiously. From the first page, you are invited to take a deep dive into each of the 5 Practices by unpacking the practice, considering the potential instructional challenges associated with the practice, and, through the use of videos, teacher responses, and student work, analyze the challenging and rewarding work of facilitating productive student discourse. Read this book, try whats suggested in your classroom, and watch ALL of your students truly shine as they demonstrate meaningful mathematical thinking and reasoning." -- Beth Kobett "The Five Practices in Practice: Successfully Orchestrating Mathematics Discussions in Your Elementary Classroom is THE tool for helping ambitious elementary mathematics teaching a reality. It gives a rich, elementary lens to the original groundbreaking work through classroom examples, tasks, and accompanying videos. Simply put, it is a must-have for any mathematics teacher, coach, or administrator." -- John SanGiovanni "Ive been a fan of 5 Practices for Orchestrating Productive Mathematics Discussions for a long time! In this practical, teacher-friendly follow up to the popular resource, the authors provide educators with a roadmap to support facilitating productive mathematics discussions in their classrooms. In this new addition to the series, educators are treated to a comprehensive blueprint for implementing the five practices that includes scaffolds, realistic suggestions grounded by research, feedback and authentic data from practicing teachers, vignettes, grade-specific examples and opportunities to reflect on classroom practice, making this resource a valuable tool for elementary educators." -- Latrenda Knighten "As an elementary math teacher, nothing has helped me become more intentional and

purposeful than the 5 Practices. In a continued effort to move student thinking forward, I

really appreciated how the authors walked us through specific K5 examples because this will

definitely help me improve my craft." -- Graham Fletcher

List of Video Clips
xx
Foreword xxi
Dan Meyer
Preface xxiv
Acknowledgments xxvii
About the Authors xxix
Chapter 1 Introduction
The Five Practices in Practice: An Overview
3(2)
Purpose and Content
5(5)
Classroom Video Context
6(2)
Meet the Teachers
8(2)
Using This Book
10(4)
Norms for Video Viewing
10(1)
Getting Started!
11(3)
Chapter 2 Setting Goals and Selecting Tasks
Part One Unpacking the Practice: Setting Goals and Selecting Tasks
14(7)
Specifying the Learning Goal
14(2)
Identifying a High-Level Task That Aligns With the Goal
16(3)
Tara Tyus's Attention to Key Questions: Setting Goals and Selecting Tasks
19(2)
Part Two Challenges Teachers Face: Setting Goals and Selecting Tasks
21(12)
Identifying Learning Goals
21(2)
Identifying a Doing-Mathematics Task
23(1)
Adapting an Existing Task
23(2)
Finding a Task in Another Resource
25(2)
Creating a Task
27(2)
Ensuring Alignment Between Task and Goals
29(1)
Launching a Task to Ensure Student Access
30(2)
Launching a Task---Analysis
32(1)
Conclusion
33(5)
Chapter 3 Anticipating Student Responses
Part One Unpacking the Practice: Anticipating Student Responses
38(12)
Getting Inside the Problem
39(1)
Getting Inside a Problem---Analysis
39(4)
Planning to Respond to Student Thinking
43(6)
Planning to Notice Student Thinking
49(1)
Tara Tyus's Attention to Key Questions: Anticipating
50(1)
Part Two Challenges Teachers Face: Anticipating Student Responses
50(14)
Moving Beyond the Way YOU Solved the Problem
51(8)
Being Prepared to Help Students Who Cannot Get Started
59(2)
Creating Questions That Move Students Toward the Mathematical Goal
61(3)
Conclusion
64(6)
Chapter 4 Monitoring Student Work
Part One Unpacking the Practice: Monitoring Student Work
70(14)
Tracking Student Thinking
71(1)
Assessing Student Thinking
72(2)
Exploring Student Problem-Solving Approaches---Analysis
74(3)
Assessing Student Thinking---Analysis
77(1)
Advancing Student Thinking
78(2)
Advancing Student Thinking, Part One---Analysis
80(3)
Advancing Student Thinking, Part Two---Analysis
83(1)
Tara Tyus's Attention to Key Questions: Monitoring
84(1)
Part Two Challenges Teachers Face: Monitoring Student Work
84(14)
Trying to Understand What Students Are Thinking
85(2)
Determining What Students Are Thinking, Part One---Analysis
87(2)
Determining What Students Are Thinking, Part Two---Analysis
89(2)
Keeping Track of Group Progress
91(2)
Following Up With Students---Analysis
93(2)
Involving All Members of a Group
95(2)
Holding All Students Accountable---Analysis
97(1)
Conclusion
98(6)
Chapter 5 Selecting and Sequencing Student Solutions
Part One Unpacking the Practice: Selecting and Sequencing Student Solutions
104(11)
Identifying Student Work to Highlight
105(3)
Selecting Student Solutions---Analysis
108(2)
Purposefully Selecting Individual Presenters
110(2)
Establishing a Coherent Storyline
112(3)
Tara Tyus's Attention to Key Questions: Selecting and Sequencing
115(1)
Part Two Challenges Teachers Face: Selecting and Sequencing Student Solutions
115(21)
Selecting Only Solutions Relevant to Learning Goals
116(8)
Selecting Solutions That Highlight Key Ideas---Analysis
124(2)
Expanding Beyond the Usual Presenters
126(5)
Deciding What Work to Share When the Majority of Students Were Not Able to Solve the Task and Your Initial Goal No Longer Seems Obtainable
131(2)
Moving Forward When a Key Strategy Is Not Produced by Students
133(1)
Determining How to Sequence Errors, Misconceptions, and/or Incomplete Solutions
134(2)
Conclusion
136(6)
Chapter 6 Connecting Student Solutions
Part One Unpacking the Practice: Connecting Student Solutions
142(10)
Connecting Student Work to the Goals of the Lesson
143(2)
Connecting Student Work to the Goals of the Lesson, Part One---Analysis
145(2)
Connecting Student Work to the Goals of the Lesson, Part Two---Analysis
147(1)
Connecting Student Work to the Goals of the Lesson, Part Three---Analysis
148(2)
Connecting Different Solutions to Each Other
150(1)
Connecting Different Solutions to Each Other---Analysis
151(1)
Tara Tyus's Attention to Key Questions: Connecting
152(1)
Part Two Challenges Teachers Face: Connecting Student Responses
152(18)
Keeping the Entire Class Engaged and Accountable During Individual Presentations
153(5)
Holding Students Accountable---Analysis
158(4)
Ensuring That Key Mathematical Ideas Are Made Public and Remain the Focus
162(2)
Making Key Ideas Public---Analysis
164(2)
Making Sure That You Do Not Take Over the Discussion and Do the Explaining
166(1)
Running Out of Time
167(3)
Conclusion
170(4)
Chapter 7 Looking Back and Looking Ahead
Why Use the Five Practices Model
174(3)
Getting Started With the Five Practices
177(5)
Plan Lessons Collaboratively
177(2)
Observe and Debrief Lessons
179(1)
Reflect on Your Lesson
179(1)
Video Clubs
180(1)
Organize a Book Study
181(1)
Explore Additional Resources
181(1)
Frequency and Timing of Use of the Five Practices Model
182(1)
Conclusion
183(3)
Resources
Appendix A Web-Based Resources for Tasks and Lesson Plans 186(1)
Appendix B Monitoring Chart 187(1)
Appendix C Ms. Tyus's Monitoring Chart 188(4)
Appendix D Resources for Holding Students Accountable 192(1)
Appendix E Lesson-Planning Template 193(2)
References 195(6)
Index 201
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 Chancellors 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.

Victoria Bill is a former elementary and middle school mathematics teacher. She is currently a Fellow and lead of the mathematics team with the Institute for Learning at the Learning Research and Development Center, University of Pittsburgh.  She has been designing and facilitating professional development with administrators, coaches and teachers in urban districts for more than 20 years. She also develops curriculum, intervention materials and performance-based assessments. Bill was the Co-Pi on a collaborative research project between researchers from the LRDC, the IFL, and the Tennessee Department of Education in which an instructional Mathematics Coaching Model was developed. Bill regularly speaks at the National Council of Teachers of Mathematics, National Supervisors of Mathematics, and National Council of Teachers of Mathematics Research Conferences. She is co-author of the NCTM best seller Taking Action: Implementing Effective Mathematics Teaching Practices Grades k-5.