Literaturnachweis - Detailanzeige
Autor/in | Hicks, Michael D. |
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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 |
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 |
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 |