图书简介

Preface \\ Acknowledgments \\ About the Authors \\ Chapter 1. Mathematical Argumentation: Why and What \\ Argumentation Is Important! \\ What Argumentation Is—and Is Not \\ A Four-Part Model of Argumentation \\ About Truth \\ Teaching as Disciplined Improvisation \\ Improvisation for Argumentation and Norm Setting \\ Sharing Mathematical Authority \\ Getting Started With Argumentation \\ Argumentation Lessons Versus Argumentation in Lessons \\ Working Together \\ Chapter 2. Generating Cases \\ What Does It Mean to Generate Cases? \\ An Activity Rich in Argumentation and Content \\ Vignette: Small Groups Generate Cases \\ Teaching Moves \\ Establishing Norms \\ Planning \\ Tasks \\ Working Together \\ Chapter 3. Conjecturing \\ What Does It Mean to Conjecture? \\ Vignette: Conjecturing Together \\ Teaching Moves \\ Establishing Norms \\ Planning \\ Tasks \\ Working Together \\ Chapter 4. Justifying \\ What Does It Mean to Justify? \\ Vignette: Justifying Multiple Conjectures \\ Teaching Moves for Eliciting Justifications \\ Vignette: Critiquing and Connecting Arguments \\ Teaching Moves for Critiquing and Connecting Arguments \\ Establishing Norms \\ Planning \\ Tasks \\ Working Together \\ Chapter 5. Representations in Justifications \\ What Are Representations? \\ Vignette: Visual Representations Foster Participation \\ Vignette: Gestures Enable a Unique Contribution \\ Teaching Moves \\ Using Dynamic Digital Tools \\ Establishing Norms \\ Planning \\ Tasks \\ Working Together \\ Chapter 6. Levels of Justification \\ Four Levels of Justification \\ Level 0: No Justification \\ Level 1: Case-Based Justifications \\ Level 2: Partially Generalized Justifications Based on Cases \\ Level 3: Fully Generalized Justifications \\ A Rubric for Levels \\ Teaching Moves for Transitions Between Levels \\ Working Together \\ Chapter 7. Concluding \\ What Does It Mean to Conclude? \\ Vignettes: Concluding \\ Teaching Moves \\ Establishing Norms \\ Planning \\ Tasks \\ Working Together \\ Chapter 8. Planning \\ How Can You Plan for Students’ Argumentation? \\ Written Lesson Plans \\ Visualizing a Lesson \\ Vignette: Visualizing Justification \\ Digital Tools \\ Updating and Sharing Lesson Plans \\ Advice on Planning \\ Working Together \\ Glossary \\ References \\ Index

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