ERIC Number: EJ1032379
Record Type: Journal
Publication Date: 2014
Abstractor: As Provided
Identifying Kinds of Reasoning in Collective Argumentation
Conner, AnnaMarie; Singletary, Laura M.; Smith, Ryan C.; Wagner, Patty Anne; Francisco, Richard T.
Mathematical Thinking and Learning: An International Journal, v16 n3 p181-200 2014
We combine Peirce's rule, case, and result with Toulmin's data, claim, and warrant to differentiate between deductive, inductive, abductive, and analogical reasoning within collective argumentation. In this theoretical article, we illustrate these kinds of reasoning in episodes of collective argumentation using examples from one teacher's practice. Examining different kinds of reasoning in collective argumentation can inform how students engage in generating and examining hypotheses using inductive and abductive reasoning and move toward the deductive reasoning required for proof. Mathematics educators can build on their understanding of these kinds of reasoning to support students in reasoning in productive ways.
Descriptors: Logical Thinking, Persuasive Discourse, Mathematics Education, Grade 9, Geometry, Mathematics Teachers, Mathematical Logic
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Publication Type: Journal Articles; Reports - Research
Education Level: Grade 9; Junior High Schools; High Schools; Secondary Education; Middle Schools
Authoring Institution: N/A