This research-based book brings tough Standards for Mathematical Practice 3 standards for mathematical argumentation and critical reasoning alive - all within a thoroughly explained four-part model that covers generating cases, conjecturing, justifying, and concluding.
This research-based book brings tough Standards for Mathematical Practice 3 standards for mathematical argumentation and critical reasoning alive - all within a thoroughly explained four-part model that covers generating cases, conjecturing, justifying, and concluding.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Jennifer Knudsen has been working in mathematics education since her days as a Peace Corps volunteer in Kenya and as a teacher in in New York City Public Schools. She has focused on students' engagement in mathematics as an equity issue throughout her career, including work on numerous curriculum and professional development projects. She directs the Bridging Professional Development project as part of her role as a senior mathematics educator at SRI International. She holds a B.A. from The Evergreen State College, where she learned to love mathematical argumentation. She lives in Austin, Texas with her husband and daughter.
Inhaltsangabe
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
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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