Fostering Productive Ways of Thinking Associated with Analogical Reasoning in Advanced Mathematics

Autor/in	Hicks, Michael D.
Titel	Fostering Productive Ways of Thinking Associated with Analogical Reasoning in Advanced Mathematics
Quelle	In: For the Learning of Mathematics, 42 (2022) 3, S.10-15 (6 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0228-0671
Schlagwörter	Logical Thinking; Mathematics Skills; Mathematics Education; Undergraduate Students; College Mathematics; Algebra; Thinking Skills; Cognitive Style + Suchen Sie Ihr Suchwort? Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Mathematische Bildung; Denkfähigkeit; Cognitive styles; Kognitiver Stil
Abstract	Analogical reasoning has played an important role in the development of modern mathematics. However, there has been critique of analogies for the purpose of learning new mathematics. In this article, I counter that students can productively reason by analogy to learn new mathematics and even develop new mathematics themselves. I display examples of an undergraduate student exploring topics in abstract algebra and describe how they progressively developed productive ways of thinking associated with the mental act of analogical reasoning as they continued to explore. The documented activity provides a blueprint for how analogies might be productively leveraged pedagogically. (As Provided).
Anmerkungen	FLM Publishing Association. 382 Education South, University of Alberta, Edmonton, Alberta T6G 2G5, Canada. e-mail: flm2@ualberta.ca; Web site: https://flm-journal.org/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01