Table of Contents
ContentsIntroduction 1
1 Principles to Consider When Teaching Online 3 What Math Teaching Must Focus On 3 Creating Warmth 3 Creating Interactivity and Engagement 4 Providing Clarity and Structure 5 Attending to Individual Differences 6
2 Differentiation Instruction Using Open Questions and Parallel Tasks 7 The Value of Open Questions in an Online Environment 7 The Value of Parallel Tasks in an Online Environment 9 The Value of Rich Math Conversation: Unexpected Benefits of an Online Environment 10 The Importance of Being Intentional in an Online Environment 11
3 Logistics 12 Preparing Students for Working at a Distance 12 Connectivity Issues 12 Building Online Communities 13 Collecting Work From Students 15 Providing Feedback and Formative Assessment 16 Involving Parents Without Overwhelming Them 16 Dealing With Manipulatives When Teaching Virtually 18
4 Adapting Questions From Good Questions for the Online Environment 20 Grades K–2 20 Grades 3–5 27 Grades 6–8 33 Summary 40
5 New Open Questions for the Online Environment 41 Grades K–2 41 Grades 3–5 47 Grades 6–8 51 Summary 54
6 Conclusion 55
Resources 56 References 56 Online Resources 56 Videos 57 Math Tools 57
Appendix A: Scripts for Example Videos 58 Learning About Math Tools 59 Using a 100-Chart (Grades 1 and 2) 59 Using Number Lines (Grades 2 and 3) 60 Using Pattern Blocks (Grades 3 and 4) 61 Using Base Ten Blocks (Grades 4 and 5) 62 Using Double Number Lines (Grades 6 and 7) 63 Using Probing Questions 64 234 Question (Grades K–2) 64 What Does Division Look Like? (Grades 3–5) 66 Circles, Squares, and Crosses (Grades 6–8) 67
Appendix B: Templates for Manipulatives 69 10-Frames 70 100-Chart 71 Number Paths 72 Number Lines 73 Pattern Blocks 74 Dot Paper 76 Base Ten Blocks 77 Grid Paper 78 Fraction Strips 79 10 × 10 Grid 80 Double Number Lines 81
About the Author 82