Literaturnachweis - Detailanzeige
| Autor/inn/en | Simpson, Adrian; Stehlikova, Nada |
|---|---|
| Titel | Apprehending Mathematical Structure: A Case Study of Coming to Understand a Commutative Ring |
| Quelle | In: Educational Studies in Mathematics, 61 (2006) 3, S.347-371 (25 Seiten)Infoseite zur Zeitschrift
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| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 0013-1954 |
| DOI | 10.1007/s10649-006-1300-y |
| Schlagwörter | Algebra; Courses; Definitions; Case Studies; Intention; Abstract Reasoning; Learning Strategies; Mathematical Concepts; Teaching Methods; Mathematics Instruction |
| Abstract | Abstract algebra courses tend to take one of two pedagogical routes: from examples of mathematics structures through definitions to general theorems, or directly from definitions to general theorems. The former route seems to be based on the implicit pedagogical intention that students will use their understanding of particular examples of an algebraic structure to get a sense of those properties which form the basis of the fundamental definitions. We will explain the transition from examples to abstract algebra as a series of shifts of attention and in this paper we will use a case study to examine the initial shift, which we will call "apprehending a structure", and examine how one student came to apprehend the structure of the commutative ring Z[99]. (Author). |
| Anmerkungen | Springer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: service-ny@springer.com; Web site: http://www.springerlink.com |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2017/4/10 |
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