Book at a Glance
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 the Common Themes?
Chapter 2: Your K–2 Blueprint: Planning Mathematics Lessons for Coherence, Rigor, and Purpose
What Is the Purpose of a Lesson?
What Is Conceptual Understanding?
What Is Procedural Fluency?
How Can You Ensure that You Plan Lessons for Coherence, Rigor, and Purpose?
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?
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?
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
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?
Kindergarten Snapshot: Lesson Purpose
First Grade Snapshot: Lesson Purpose
Second Grade Snapshot: Lesson Purpose
Chapter 6: Choosing Tasks: The Heart of a Lesson
What Is a Worthwhile Task?
What Are Some Sources for Worthwhile Tasks?
Kindergarten Snapshot: Task Selection
First Grade Snapshot: Task Selection
Second Grade Snapshot: Task Selection
Chapter 7: Choosing Materials: Representations, Manipulatives, and Other Resources.
What Is the Role of Representations in Mathematics Lessons?
How Are Manipulatives Used?
What Are Other Resources?
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?
Kindergarten Snapshot: Student Thinking
First Grade Snapshot: Student Thinking
Second Grade Snapshot: Student Thinking
Chapter 9: Framing the Lesson: Formats
What Are Some Different Lesson Formats?
Kindergarten Snapshot: Lesson Format
First Grade Snapshot: Lesson Formats
Second Grade Snapshot: Lesson Formats
Chapter 10: Evaluating Impact: Formative Assessment
What Is Formative Assessment?
What Are Specific Formative Assessment Techniques?
Kindergarten Snapshot: Formative Assessment
First Grade Snapshot: Formative Assessment
Second Grade Snapshot: Formative Assessment
Part III: Pulling All the Pieces Together
Chapter 11: Planning to Launch the Lesson
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?
Number Paths and Number Lines
What Do You Anticipate Students Will Do?
Kindergarten Snapshot: Launch the Lesson
First Grade Snapshot: Launch the Lesson
Second Grade Snapshot: Launch the Lesson
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
Kindergarten Snapshot: Facilitate the Lesson
First Grade Snapshot: Facilitate the Lesson
Second Grade Snapshot: Facilitate the Lesson
Chapter 13: Planning to Close the Lesson
Why Do You Need Closure in a Lesson?
What Are Some Different Closure Activities?
Chapter 14: Surveying Your Results: Lesson Reflection
Why Is It Important to Reflect upon Lessons?
What Kind of Reflection Cycle Supports Teacher Growth?
Appendix A: Lesson-Planning Template
Appendix B: Further Reading/Resources
Appendix C: Glossary
About the Authors