Book at a Glance
Praise Page
Acknowledgments
Publisher’s Acknowledgments
Letter to K–2 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?
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 K–2 Blueprint: Planning Mathematics Lessons for Coherence, Rigor, and Purpose
What Is Coherence?
What Is Rigor?
What Is the Purpose of a Lesson?
What Is Conceptual Understanding?
What Is Procedural Fluency?
What Is Transfer?
How Can You Ensure that You Plan Lessons for Coherence, Rigor, and Purpose?
Lesson-Planning Template
Part II: Drafting Your K–2 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
Kindergarten Snapshot: Big Ideas, Essential Questions, and Standards
First Grade Snapshot: Big Ideas, Essential Questions, and Standards
Second Grade Snapshot: Big Ideas, Essential Questions, and Standards
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
Kindergarten Snapshot: Learning Intentions and Success Criteria
First Grade Snapshot: Learning Intentions and Success Criteria Decision-Making Snapshot
Second 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
Kindergarten Snapshot: Lesson Purpose
First Grade Snapshot: Lesson Purpose
Second 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
Kindergarten Snapshot: Task Selection
First Grade Snapshot: Task Selection
Second 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
Kindergarten Snapshot: Material Selection
First Grade Snapshot: Material Selection
Second Grade Snapshot: Material Selection
Second 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
Kindergarten Snapshot: Student Thinking
First Grade Snapshot: Student Thinking
Second Grade Snapshot: Student Thinking
Under Construction
Chapter 9: Framing the Lesson: Formats
What Are Some Different Lesson Formats?
4-Part Lesson Plan
Game Format
Small-Group Instruction
Pairs
Building Unit Coherence
Kindergarten Snapshot: Lesson Format
First Grade Snapshot: Lesson Formats
Second Grade Snapshot: Lesson Formats
Under Construction
Chapter 10: Evaluating Impact: Formative Assessment
What Is Formative Assessment?
What Are Specific Formative Assessment Techniques?
Observation
Interview
Show Me
Hinge Questions
Exit Tasks
Building Unit Coherence
Kindergarten Snapshot: Formative Assessment
First Grade Snapshot: Formative Assessment
Second 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?
See, Think, and Wonder Lesson Launch
Notice and Wonder® Lesson Launch
Numberless Word Problem Lesson Launch
What Kinds of Lesson Launches Focus on Mathematics Concepts?
One of These Things Is Not Like the Others
What Are Number Routine Lesson Launches?
Counting Jar
Number Paths and Number Lines
Number Talks
What Do You Anticipate Students Will Do?
Building Unit Coherence
Kindergarten Snapshot: Launch the Lesson
First Grade Snapshot: Launch the Lesson
Second 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
Kindergarten Snapshot: Facilitate the Lesson
First Grade Snapshot: Facilitate the Lesson
Second 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
Snapshots
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
Resources:
Appendix A: Lesson-Planning Template
Appendix B: Further Reading/Resources
Appendix C: Glossary
References
About the Authors
