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Cover 1 Contents 14 Acknowledgments 19 Letter to K–2 Teachers 20 Letter to Elementary Principals 21 Letter to Mathematics Coaches 22 Letter to Preservice College and University Instructors 23 How to Use This Book 24 Part I. You are the Architect of Your Classroom 26 Chapter 1. Surveying Your Site: Knowing Your Students 27 Why Is It So Important to Know Your Students? 28 What Is Prior Knowledge in Mathematics? 29 What Do Access and Equity Really Mean? 30 How Do Identity and Agency Influence Lesson Planning? 30 What Do Culturally and Linguistically Diverse Students Need? 32 What Do Students Living in Poverty Need? 34 What Are Learning Needs? 35 What Are the Common Themes? 37 Chapter 2. Your K–2 Blueprint: Planning Mathematics Lessons for Coherence, Rigor, and Purpose 39 What Is Coherence? 40 What Is Rigor? 41 What Is the Purpose of a Lesson? 43 What Is Conceptual Understanding? 43 What Is Procedural Fluency? 44 What Is Transfer? 45 How Can You Ensure That You Plan Lessons for Coherence, Rigor, and Purpose? 46 Lesson-Planning Template 47 PART II: Drafting Your K–2 Blueprint 50 Chapter 3: Laying Your Foundation: It Starts With Big Ideas, Essential Questions, and Standards 51 What Are
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