Literaturnachweis - Detailanzeige
| Autor/inn/en | Apkarian, Naneh; Tabach, Michal; Dreyfus, Tommy; Rasmussen, Chris |
|---|---|
| Titel | The Sierpinski Smoothie: Blending Area and Perimeter |
| Quelle | In: Educational Studies in Mathematics, 101 (2019) 1, S.19-34 (16 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
| Zusatzinformation | ORCID (Apkarian, Naneh) |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 0013-1954 |
| DOI | 10.1007/s10649-019-09889-4 |
| Schlagwörter | Geometric Concepts; Mathematical Logic; Mathematics Education; Masters Programs; Graduate Students; Teaching Methods |
| Abstract | This study furthers the theory of conceptual blending as a useful tool for revealing the structure and process of student reasoning in relation to the Sierpinski triangle (ST). We use conceptual blending to investigate students' reasoning, revealing how students engage with the ST and coordinate their understandings of its area and perimeter. Our analysis of ten individual interviews with mathematics education masters' student documents diverse ways in which students reason about this situation through the constituent processes of blending: composition, completion, and elaboration. This reveals that students who share basic understandings of the area and perimeter of the ST recruit idiosyncratic ideas to engage with and resolve the paradox of a figure with infinite perimeter and zero area. (As Provided). |
| Anmerkungen | Springer. Available from: Springer Nature. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/ |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2020/1/01 |
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