Conceptions and Consequences of Mathematical Argumentation, Justification, and Proof
This book aims to advance ongoing debates in the field of mathematics and mathematics education regarding conceptions of argumentation, justification, and proof and the consequences for research and practice when applying particular conceptions of each construct. Through analyses of classroom practi...
| Other Authors: | , , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2022, 2022
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| Edition: | 1st ed. 2022 |
| Series: | Research in Mathematics Education
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Argumentation in the Context of Tertiary Mathematics: A Case Study of Classroom Argumentation and the Role of Instructor Moves
- Justification in the Context of Tertiary Mathematics: Undergraduate Students Exploring the Properties and Relations of the Dihedral Group
- Proof in the Context of Tertiary Mathematics: Undergraduate Inquiry-Based Learning in Abstract Algebra as a Precursor to Mathematical Proof
- Mathematics Educators as Polymaths, Brokers, and Learners: Commentary on the Tertiary Chapters on Argumentation, Justification, and Proof
- Part 5: Lenses on Researching Argumentation, Justification and Proof Across the Grade Levels
- Participation in Argumentation: Teacher and Student Roles across the Grades
- Justification Across the Grade Bands
- Lens, Blinders, or Kaleidoscope? Using a Definition of Proof to Make Sense of Classroom Activity
- Conclusion: Considering the Consequences of Our Conceptions of Argumentation, Justification, and Proof
- Proof in the Middle Grades: Can we Label Middle Grades Arguments as Proof with a Capital P?
- Argumentation, Justification, and Proof in Middle School: A Rose by Any Other Name
- Part 3: Argumentation, Justification and Proof in High School Mathematics
- Overview of High School Level Data
- Argumentation in the Context of High School Mathematics: Examining Dialogic Aspects of Argumentation
- Justification in the Context of High School Mathematics: Co-Constructing Content and Process
- Proof in the Context of High School Mathematics: A First Approach through Discussion, with Occasions and Missed Opportunities
- Reasoning is in the Eye of the Lens-Holder: Observations Made through the Lenses of Justification, Argumentation, and Proof at the High School Level
- Part 4: Argumentation, Justification and Proof at the Tertiary Level
- Overview of Tertiary Level Data
- Introduction: Conceptualizing Argumentation, Justification, and Proof in Mathematics Education
- Part 1: Argumentation, Justification and Proof in an Elementary Classroom
- Overview of the Elementary Level Data
- Argumentation in the Elementary Grades: The Role of Participants, Tasks, and Tools
- Justification in the Elementary Grades: Justification to Develop and Provide Access to Mathematical Reasoning
- Proof in the Elementary Grades: A Multimodal Approach to Generalization and Proof
- On the Meanings of Argumentation, Justification, and Proof: General Insights from Analyses of Elementary Classroom Episodes
- Part 2: Argumentation, Justification and Proof in a Middle Grades Classroom
- Overview of Middle Level Data
- Argumentation in the Middle Grades: Exploring a Teacher’s Support of Collective Argumentation
- Justification in the Middle Grades: A Process of Verification and Sense-Making