Literaturnachweis - Detailanzeige
| Autor/inn/en | Rupnow, Rachel; Randazzo, Brooke |
|---|---|
| Titel | Mathematicians' Language for Isomorphism and Homomorphism [Konferenzbericht] Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (44th, Nashville, TN, Nov 17-20, 2022). |
| Quelle | (2022), (9 Seiten)
PDF als Volltext kostenfreie Datei |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Monographie |
| Schlagwörter | Mathematics Instruction; Teaching Methods; Algebra; Concept Formation; Mathematical Concepts; Abstract Reasoning; Figurative Language; Attitude Change; Generalization; Problem Solving; Undergraduate Students; Student Attitudes; College Faculty; Teacher Attitudes |
| Abstract | Isomorphism and homomorphism appear throughout abstract algebra, yet how algebraists characterize these concepts, especially homomorphism, remains understudied. Based on interviews with nine research-active mathematicians, we highlight new sameness-based conceptual metaphors and three new clusters of metaphors: sameness/formal definition, changing perspectives, and generalizations beyond algebra. Implications include a way to articulate a conceptual purpose for homomorphism beyond its relationship to isomorphism: namely, as a tool for changing perspectives when problem-solving. [For the complete proceedings, see ED630210.] (As Provided). |
| Anmerkungen | North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/ |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2024/1/01 |
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