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The Mathematics Lesson-Planning Handbook, Grades 3-5
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The Mathematics Lesson-Planning Handbook, Grades 3-5
Your Blueprint for Building Cohesive Lessons

NCTM Stock Number is 15701.

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August 2018 | 248 pages | Corwin

“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, Laureate Professor, Deputy Dean of MGSE, Director of the Melbourne Education Research Institute, Melbourne Graduate School of Education

YOU are the architect in the mathematics classroom.

When it comes to mathematics lessons, do you sometimes feel overly beholden to the required texts from which you teach? Do you wish you could break the mold, but feel like you get conflicting guidance on the "right” things to do? How often do you find yourself in the last-minute online scramble for a great task activity that will capture your students' interest and align to your state standards?

In The Mathematics Lesson-Planning Handbook, Grades 3–5: Your Blueprint for Building Cohesive Lessons, you’ll learn the streamlined decision-making processes that will help you plan the focused, research-based, standards-aligned lessons your students need. This daily reference offers practical guidance for when and how to pull together mathematics routines, resources, and effective teaching techniques into a coherent and manageable set of lesson plans. This resource will

  • Lead teachers through a process of lesson planning based on various learning objectives
  • Set the stage for lesson planning using relatable vignettes
  • Offer sample lesson plans for Grades 3–5
  • Create opportunities to reflect on each component of a mathematics lesson
  • Suggest next steps for building a unit from the lessons
  • Provide teachers the space and tools to create their own lesson plans going forward

Based on years of classroom experience from seasoned mathematics educators, this book brings together the just-in-time resources and practical advice you need to make lesson planning simple, practical, and doable. From laying a solid foundation to choosing the right materials, you’ll feel confident structuring lessons that lead to high student achievement.

 

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

 

Supplements

“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
Caroline County Schools, VA

“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
Atlanta, GA
  •  
Key features

Includes:

  • Vignettes and concrete examples in every chapter
  • Sample lessons for each grade level in grades 3-5
  • Guidance for planning at the unit and lesson level
  • Stop and reflect sections
  • Prompts and room for writing to build your own lesson plans
  • Companion website contains downloadable versions of all templates, tasks, and sample lessons

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