Conceptions and Consequences of Mathematical Argumentation, Justification, and Proof
portes grátis
Conceptions and Consequences of Mathematical Argumentation, Justification, and Proof
Conner, AnnaMarie; Kosko, Karl W.; Bieda, Kristen N.; Staples, Megan
Springer Nature Switzerland AG
03/2022
333
Dura
Inglês
9783030800079
15 a 20 dias
694
Descrição não disponível.
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.- 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.- 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.
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mathematical argumentation;mathematical justification;mathematical proofs;classroom-based research;argumentation;justification;reasoning and proof;mathematical processes;mathematical practices
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.- 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.- 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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
