Identifying Kinds of Reasoning in Collective Argumentation

Autor/inn/en	Conner, AnnaMarie; Singletary, Laura M.; Smith, Ryan C.; Wagner, Patty Anne; Francisco, Richard T.
Titel	Identifying Kinds of Reasoning in Collective Argumentation
Quelle	In: Mathematical Thinking and Learning: An International Journal, 16 (2014) 3, S.181-200 (20 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1098-6065
DOI	10.1080/10986065.2014.921131
Schlagwörter	Logical Thinking; Persuasive Discourse; Mathematics Education; Grade 9; Geometry; Mathematics Teachers; Mathematical Logic + Suchen Sie Ihr Suchwort? Persuasion; Persuasive Kommunikation; Mathematische Bildung; School year 09; 9. Schuljahr; Schuljahr 09; Geometrie; Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende; Mathematical logics; Mathematische Logik
Abstract	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. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10