The Mathematics Lesson-Planning Handbook, Grades 3-5

Ruth Harbin Miles coaches rural, suburban, and inner-city school mathematics teachers. Her professional experiences include coordinating the K-12 Mathematics Teaching and Learning Program for the Olathe, Kansas, Public Schools for more than 25 years; teaching mathematics methods courses at Virginia's Mary Baldwin College; and serving on the Board of Directors for the National Council of Teachers of Mathematics, the National Council of Supervisors of Mathematic, and both the Virginia Council of Teachers of Mathematics and the Kansas Association of Teachers of Mathematics. Ruth is a co-author of five Corwin books including A Guide to Mathematics Coaching, A Guide to Mathematics Leadership, Visible Thinking in the K-8 Mathematics Classroom, The Common Core Mathematics Standards, and Realizing Rigor in the Mathematics Classroom. As co-owner of Happy Mountain Learning, Ruth specializes in developing teachers' content knowledge and strategies for engaging students to achieve high standards in mathematics. Beth McCord Kobett, EdD, is Professor of Education and Associate Dean at Stevenson University, where she leads, teaches and supports early childhood, elementary, and middle preservice teachers in mathematics education. She is a former classroom teacher, elementary mathematics specialist, adjunct professor, and university supervisor. Beth also served as the Director of the First Year Seminar program at Stevenson University. She recently completed a three-year term as an elected Board Member for the National Council of Teachers of Mathematics and was the former president of the Association of Maryland Mathematics Teacher Educators (AMMTE). Beth leads professional learning efforts in mathematics education both regionally and nationally. Beth is a recipient of the Mathematics Educator of the Year Award from the Maryland Council of Teachers of Mathematics (MCTM) and the Johns Hopkins University Distinguished Alumni Award. Beth also received Stevenson University's Rose Dawson Award for Excellence in Teaching as both an adjunct and full-time faculty member. Beth believes in fostering a strengths-based community with her students and strives to make her learning space inviting, facilitate lessons that spark curiosity and innovation, and cultivate positive productive struggle. After teaching mathematics in grades K-8 for 20 years, Lois served as the middle school mathematics specialist for the Virginia Department of Education. Here she worked on curriculum and teacher professional learning. She served the Virginia Council of Teachers of Mathematics and was a board member for the local Jefferson Council of Teachers of Mathematics. After receiving her doctorate in curriculum and instruction at The University of Virginia, she began serving as adjunct faculty to Mary Baldwin College and is in her 15th year working with pre-service teachers. Currently Lois is an International Fellow with the Charles A. Dana Center working with classroom teachers in the Department of Defense Schools helping them implement their College and Career Readiness Standards. Among her recognitions are a Fulbright Teacher Exchange and Virginia Middle School Mathematics Teacher of the Year.

Book at a Glance Praise Page Acknowledgements Publisher's Acknowledgements Letter to 3-5 Teachers Letter to Elementary Principals Letter to Mathematics Coaches Letter to Preservice College and University Instructors How to Use This Book Part I: You Are the Architect of Your Classroom Chapter 1: Surveying Your Site: Knowing Your Students Why Is It So Important to Know Your Students? What Do Access and Equity Really Mean? How Do Identity and Agency Influence Lesson Planning? What Is Prior Knowledge in Mathematics? What Do Culturally and Linguistically Diverse Students Need? What Do Students Living in Poverty Need? What Are Learning Needs? What Are the Common Themes? Chapter 2: Your 3-5 Blueprint: Planning Mathematics Lessons for Coherence, Rigor, and Purpose What is Coherence? What is Rigor? What Is the Purpose of a Lesson? How Can You Ensure that You Plan Lessons for Coherence, Rigor, and Purpose? Lesson-Planning Template Part II: Drafting Your 3-5 Blueprint Chapter 3: Laying Your Foundation: It Starts with Big Ideas, Essential Questions, and Standards What Are State Standards for Mathematics? What Are Essential Questions? What Are Process Standards? Building Unit Coherence Third Grade Snapshot: Big Ideas, Essential Questions, and Standards Fourth Grade Snapshot: Big Ideas, Essential Questions, and Standards Fifth Grade Snapshot: Big Ideas, Essential Questions, and Standards Under Construction Chapter 4: Reinforcing Your Plan: Learning Intentions and Success Criteria What Are Learning Intentions? What Are Mathematics Learning Intentions? What Are Language and Social Learning Intentions? How Do You Communicate Learning Intentions with Students? What Are Success Criteria? How Do Learning Intentions Connect to the Success Criteria? When Should Learning Intentions and Success Criteria Be Shared with Students? Building Unit Coherence Third Grade Snapshot: Learning Intentions and Success Criteria Fourth Grade Snapshot: Learning Intentions and Success Criteria Decision-Making Snapshot Fifth Grade Snapshot: Learning Intentions and Success Criteria Under Construction Chapter 5: Deciding on Purpose: Why Are You Building This Lesson? What Is the Role of a Conceptual Understanding Lesson? What Is Procedural Fluency, and How Does It Build from a Conceptual Understanding Lesson? How Do You Know if You Need a Conceptual Understanding or Procedural Fluency Lesson? How Do You Create a Transfer Lesson? Building Unit Coherence Third Grade Snapshot: Lesson Purpose Fourth Grade Snapshot: Lesson Purpose Fifth Grade Snapshot: Lesson Purpose Under Construction Chapter 6: Choosing Tasks: The Heart of a Lesson Why Are Tasks Important? What Is a Worthwhile Task? How Do You Adapt Tasks? What Are Some Sources for Worthwhile Tasks? Building Unit Coherence Third Grade Snapshot: Task Selection Fourth Grade Snapshot: Task Selection Fifth Grade Snapshot: Task Selection Under Construction Chapter 7: Choosing Materials: Representations, Manipulatives, and Other Resources. What Is the Role of Representations in Mathematics Lessons? What Is a Manipulative? How Are Manipulatives Used? What Are Other Resources? Building Unit Coherence Third Grade Snapshot: Material Selection Fourth Grade Snapshot: Material Selection Fifth Grade Snapshot: Material Selection Under Construction Chapter 8: Cementing the Cracks: Anticipating Student Thinking What Are Misconceptions, and Where Do They Come From? How Can You Plan to Minimize Misconceptions? Building Unit Coherence Third Grade Snapshot: Student Thinking Fourth Grade Snapshot: Student Thinking Fifth Grade Snapshot: Student Thinking Under Construction Chapter 9: Framing the Lesson: Formats What Are Some Different Lesson Formats? Building Unit Coherence Third Grade Snapshot: Lesson Format Fourth Grade Snapshot: Lesson Format Fifth Grade Snapshot: Lesson Format Under Construction Chapter 10: Evaluating Impact: Formative Assessment What Is Formative Assessment? What Are Specific Formative Assessment Techniques? Building Unit Coherence Third Grade Snapshot: Formative Assessment Fourth Grade Snapshot: Formative Assessment Fifth Grade Snapshot: Formative Assessment Under Construction Part III: Pulling All the Pieces Together Chapter 11: Planning to Launch the Lesson What Is a Lesson Launch? How Can You Launch a Problem-Solving Lesson? What Kinds of Lesson Launches Focus on Mathematics Concepts? What Are Number Routine Lesson Launches? What Do You Anticipate Students Will Do? Building Unit Coherence Third Grade Snapshot: Launch the Lesson Fourth Grade Snapshot: Launch the Lesson Fifth Grade Snapshot: Launch the Lesson Under Construction Chapter 12: Planning to Facilitate the Lesson What Is Mathematical Communication? How Do You Facilitate Meaningful Mathematical Discourse? How Do You Plan for and Pose Purposeful Questions? How Do You Facilitate Productive Struggle? How Do You Make Sure You Engage Students in the Process Standards as You Facilitate the Lesson Building Unit Coherence Third Grade Snapshot: Facilitate the Lesson Fourth Grade Snapshot: Facilitate the Lesson Fifth Grade Snapshot: Facilitate the Lesson Snapshot Under Construction Chapter 13: Planning to Close the Lesson Why Do You Need Closure in a Lesson? What Are Some Different Closure Activities? Building Unit Coherence Third Grade Snapshot: Close the Lesson Fourth Grade Snapshot: Close the Lesson Fifth Grade Snapshot: Close the Lesson Under Construction Chapter 14: Surveying Your Results: Lesson Reflection Why Is It Important to Reflect upon Lessons? What Kind of Reflection Cycle Supports Teacher Growth? Epilogue Appendix A: Lesson-Planning Template Appendix B: Complete Lessons for Third, Fourth, and Fifth Grade Appendix C: Further Reading/Resources Appendix D: Glossary References About the Authors

"This book brings together the best of Visible Learning and the teaching of mathematics. The chapters on learning intentions, success criteria, misconceptions, formative evaluation, and knowing thy impact are stunning. Rich in exemplars, grounded in research about practice, and with the right balance about the surface and deep learning in math, it's a great go-to book for all who teach mathematics." -- John Hattie "This handbook supports teachers in moving from pacing to planning instruction by providing the tools needed to ensure that mathematics lessons work for every student. More important, it will engage teachers in the critical process of continual improvement. It is a must-have for teachers, leaders, and mathematics educators alike!" -- Matt Larson "Often teachers entering the classroom have had little opportunity for extensive lesson planning in their preparation programs. Throughout the book, definitions and explanations are clear so that readers share a common understanding of the language. As a teacher reads, the vignettes encourage the reader to reflect on similar situations in their own classrooms. The well-written questions included in the text will help guide teachers to personal insights that ultimately lead to increased student learning." -- Connie S. Schrock "We all know that good instruction is well-planned instruction. We also know that effective lesson planning is a complicated decision-making process. This incredibly practical book-filled with delightful vignettes and clarifying examples-provides powerful ideas and structures for simplifying the complexities of planning great 3-5 mathematics lessons. This book is a wonderful resource for teachers, coaches, administrators, and teacher educators." -- Steve Leinwand "Finally! The Mathematics Lesson-Planning Handbook provides that necessary blueprint for serious analysis of the planning process. Planning to teach mathematics is serious business, and this book goes way beyond thinking about the mathematics standard/objective for the next day's lesson, or jotting notes for a planning book. The handbook will truly engage teachers and communities of learning in a carefully choreographed grade-level designated thread of mathematics tasks, which will serve as anchors for developing understanding and use of each aspect of the planning process. This book is a treasure, and will be read, reread, and referenced daily!" -- Francis (Skip) Fennell "The Mathematics Lesson-Planning Handbook is a comprehensive and practical guide for coaches and teachers of mathematics in Grades 3-5. It provides the background that teachers need before they even begin to write a lesson plan! It then incorporates the research on what teachers need to think about as they begin to lay out a plan for instruction that will meet the needs of all 3-5 students and moves on to effective facilitation. This guide provides a roadmap to planning effective lessons that will provide the essential foundation to ensure that all primary-level students begin their mathematics journey with high-quality teaching and learning. This book is a must for every 3-5 teacher, coach, or school's professional library!" -- Linda M. Gojak "One of the hallmarks of accomplished elementary teachers of mathematics is the guidance they provide to help students own how to learn. In The Mathematics Lesson-Planning Handbook: Your Blueprint for Building Cohesive Lessons, authors Kobett, Harbin Miles, and Williams provide a clear, engaging, and masterful roadmap for helping each and every teacher own the lessons they design and use each and every day. The authors reveal the purposes, the success criteria, and the nature of the mathematical tasks and materials to be chosen. They describe in detail the student engagement necessary to design daily mathematics lessons that will significantly impact student learning. Reading, listening to, and using their wisdom and advice will result in an empowering impact on each and every teacher and teacher leader of elementary mathematics." -- Timothy Kanold "This is what we've been waiting for: a go-to resource for planning and facilitating mathematics lessons in elementary school! Teachers must consider the needs of their students, relevant mathematical content, and appropriate pedagogy when designing and implementing effective learning opportunities. Through authentic vignettes and examples, connections to relevant research, and guiding reflection questions, this Handbook guides readers through the process from beginning to end." -- Susie Katt "Planning is so much more than identifying materials, making copies, or filling out a form. Many of us were not trained to identify purpose, think about our students, look for quality instructional tasks, consider representations, or anticipate what our students will do. Finally, this handbook is here! We have our blueprint. This tool is a must-have for anyone new to teaching mathematics or anyone else who supports those who teach mathematics." -- John SanGiovanni "This book is a must-read for anyone who wants to challenge themselves to reexamine their math instruction. The interesting examples and challenging reflection questions make this book perfect for individual or group reading." -- Janel Frazier "This must-have book has well-thought-out lesson plans that combine rich tasks with high-quality questions. I am confident that every teacher, administrator, specialist, and math supervisor needs to have a copy of this book." -- Kathleen Williams Londeree "At a time when open educational resources are flooding our classrooms, The Mathematics Lesson-Planning Handbook helps bring focus and intentionality as to why we should choose one task over another. It thoughtfully lays out the smaller nuances that are most commonly overlooked and it helps bring clarity to the art of building coherence." -- Graham Fletcher