Margaret (Peg) Smith

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.

"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.

All On-Your-Feet Guide orders receive FREE SHIPPING! Use code SHIPOYFG at check out. Students learn what mathematics is and how one does it through their classroom instruction and the mathematical tasks they explore. Student learning is greatest when students have regular opportunities to engage with high-level or cognitively challenging tasks that engage students in thinking, reasoning, and problem solving and are essential to developing students’ conceptual understanding of mathematics. How do you help students develop the capacity to think, reason, and problem solve, but your curricular resources don’t have many high-level, cognitively demanding tasks? Learn to modify existing tasks for higher-level thinking! This On-Your-Feet-Guide provides: • 8 Key Strategies for modifying low-level procedural tasks and transforming them into high-level thinking tasks. • Examples across grades K-12 • Opportunities to practice modifying tasks and reflect on how the modified versions better meet students’ learning needs • Helpful hints to set your tasks up for ultimate success. On-Your-Feet Guides (OYFGs) provide you with the ultimate "cheat sheet" to implement effective change in your classroom while in the moment of teaching. Designed for accessibility, and providing step-by-step guidance, the OYFGs are written by experts who take research-based practices and make them doable for the busy teacher. Each On-Your-Feet Guide is laminated, 8.5"x11" tri-fold (6 pages), and 3-hole punched. Use On-Your-Feet Guides • When you know the "what" but need help with the "how" • As a quick reference to support a practice you learned in a PD workshop or book • To learn how to implement foundational practices • When you want to help your students learn a specific strategy, routine, or approach, but aren’t sure how to do it yourself

All On-Your-Feet Guide orders receive FREE SHIPPING! Use code SHIPOYFG at check out. Productive mathematics discussion or "math talk" starts with clear learning goals, the right task, and good planning. It also makes room for student thinking and collaboration to take center stage, leading students to deeper learning of mathematics. Teachers find that following the five practices of anticipating, monitoring, selecting, sequencing, and connecting has maximum impact on student learning in an inquiry-oriented mathematics classroom. This On-Your-Feet-Guide provides: A brief look at each of the five practices for orchestrating productive mathematics discussionsKey questions, tools, and challenges for each practice to consider as you plan and carry out your mathematics lessonSpecial considerations and helpful hints to think about as you troubleshoot your lessons and assess your implementation of the practicesA focus on supporting equity and identityBrief videos with additional commentary from authors and teachers about each of the five practices On-Your-Feet Guides (OYFGs) provide you with the ultimate "cheat sheet" to implement effective change in your classroom while in the moment of teaching. Designed for accessibility, and providing step-by-step guidance, the OYFGs are written by experts who take research-based practices and make them doable for the busy teacher. Each On-Your-Feet Guide is laminated, 8.5"x11" tri-fold (6 pages), and 3-hole punched. Use On-Your-Feet Guides • When you know the "what" but need help with the "how" • As a quick reference to support a practice you learned in a PD workshop or book • To learn how to implement foundational practices • When you want to help your students learn a specific strategy, routine, or approach, but aren’t sure how to do it yourself

All On-Your-Feet Guide orders receive FREE SHIPPING! Use code SHIPOYFG at check out. Productive mathematics discussion or "math talk" starts with clear learning goals, the right task, and good planning. It also makes room for student thinking and collaboration to take center stage, leading students to deeper learning of mathematics. Teachers find that following the five practices of anticipating, monitoring, selecting, sequencing, and connecting has maximum impact on student learning in an inquiry-oriented mathematics classroom. This On-Your-Feet-Guide provides: A brief look at each of the five practices for orchestrating productive mathematics discussions Key questions, tools, and challenges for each practice to consider as you plan and carry out your mathematics lesson Special considerations and helpful hints to think about as you troubleshoot your lessons and assess your implementation of the practices A focus on supporting equity and identity Brief videos with additional commentary from authors and teachers about each of the five practices On-Your-Feet Guides (OYFGs) provide you with the ultimate "cheat sheet" to implement effective change in your classroom while in the moment of teaching. Designed for accessibility, and providing step-by-step guidance, the OYFGs are written by experts who take research-based practices and make them doable for the busy teacher. Each On-Your-Feet Guide is laminated, 8.5"x11" tri-fold (6 pages), and 3-hole punched. Use the On-Your-Feet Guides: When you know the "what" but need help with the "how"As a quick reference to support a practice you learning in a PD workshop or bookTo learn how to implement foundational practicesWhen you want to help your students learn a specific strategy, routine, or approach, but aren’t sure how to do it yourself

All On-Your-Feet Guide orders receive FREE SHIPPING! Use code SHIPOYFG at check out. This bundle includes Bestelling The Five Practices in Practice, Middle School and the new On-Your-Feet Guide to Orchestrating Mathematical Discussions. Combined, this package becomes your go-to resource for content study and easy in-class implementation of The Five Practices in your middle school classroom. Take a deep dive into the five practices for facilitating productive mathematical discussions The Five Practices in Practice, Middle School Now you can learn more deeply what productive mathematical conversations can look and sound like in your middle school classroom with this deep dive into understanding the five practices—anticipating, monitoring, selecting, sequencing, and connecting. 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 so that they can enact them with confidence. 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, tools, and solutions to challenge for each practice to consider as you plan and carry out your mathematics discussions with studentsVideo excerpts from real middle school classrooms that vividly illustrate the five practices in action "Pause and Consider" prompts that help you reflect on an issue and draw on your own classroom experience"Linking To Your Own Instruction" prompts to help you implement the five practices with confidence in your own instructionA focus on supporting equity and identity 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. The On-Your-Feet Guide to Orchestrating Mathematical Discussions Laminated, 8.5"x11" tri-fold (6 pages), 3-hole punched This On-Your-Feet-Guide provides: Key questions, tools, and challenges for each practice to consider as you plan and carry out your mathematics lessonSpecial considerations and helpful hints to think about as you troubleshoot your lessons and assess your implementation of the practicesA focus on supporting equity and identity Brief videos with additional commentary from authors and teachers about each of the five practices On-Your-Feet Guides (OYFGs) provide you with the ultimate "cheat sheet" to implement effective change in your classroom while in the moment of teaching. Designed for accessibility, and providing step-by-step guidance, the OYFGs are written by experts who take research-based practices and make them doable for the busy teacher. Each On-Your-Feet Guide is laminated, 8.5"x11" tri-fold (6 pages), and 3-hole punched. Use the On-Your-Feet Guides When you know the "what" but need help with the "how" As a quick reference to support a practice you learned in a PD workshop or bookTo learn how to implement foundational practicesWhen you want to help your students learn a specific strategy, routine, or approach, but aren’t sure how to do it yourself

All On-Your-Feet Guide orders receive FREE SHIPPING! Use code SHIPOYFG at check out. This bundle includes The Five Practices in Practice, Elementary and the new On-Your-Feet Guide to Orchestrating Mathematical Discussions. Combined, this package becomes your go-to resource for content study and easy in-class implementation of The Five Practices in your elementary classroom. The Five Practices in Practice, Middle School Take a deeper dive into understanding the five practices—anticipating, monitoring, selecting, sequencing, and connecting—for 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 discussion—before class begins · Video excerpts from real elementary classrooms that vividly illustrate the five practices in action and include built-inopportunities 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 ownclassroom 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. The On-Your-Feet Guide to Orchestrating Mathematical Discussions This On-Your-Feet-Guide provides: · Key questions, tools, and challenges for each practice to consider as you plan and carry out your mathematics lesson · Special considerations and helpful hints to think about as you troubleshoot your lessons and assess your implementation of the practices · A focus on supporting equity and identity Brief videos with additional commentary from authors and teachers about each of the five practices On-Your-Feet Guides (OYFGs) provide you with the ultimate "cheat sheet" to implement effective change in your classroom while in the moment of teaching. Designed for accessibility, and providing step-by-step guidance, the OYFGs are written by experts who take research-based practices and make them doable for the busy teacher. Each On-Your-Feet Guide is laminated, 8.5"x11" tri-fold (6 pages), and 3-hole punched. Use the On-Your-Feet Guides When you know the "what" but need help with the "how"As a quick reference to support a practice you learned in a PD workshop or bookTo learn how to implement foundational practicesWhen you want to help your students learn a specific strategy, routine, or approach, but aren’t sure how to do it yourself

"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 practices—anticipating, monitoring, selecting, sequencing, and connecting—for 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 discussion—before 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 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.

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. "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 of Curriculum & Instruction Denver Public Schools