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| Autor/in | Adiredja, Aditya P. |
|---|---|
| Titel | The Pancake Story and the Epsilon-Delta Definition |
| Quelle | In: PRIMUS, 31 (2021) 6, S.662-677 (16 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
| Zusatzinformation | ORCID (Adiredja, Aditya P.) |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 1051-1970 |
| DOI | 10.1080/10511970.2019.1669231 |
| Schlagwörter | Mathematics Instruction; College Mathematics; Teaching Methods; Calculus; Mathematical Concepts; Concept Formation; Mathematical Logic; Prior Learning; Undergraduate Study; Error of Measurement |
| Abstract | The complexity in understanding the [epsilon-delta] definition has motivated research into the teaching and learning of the topic. In this paper I share my design of an instructional analogy called the Pancake Story and four different questions to explore the logical relationship between [epsilon] and [delta] that structures the definition. I designed the story from an anti-deficit perspective on students' mathematical thinking. I leverage students' intuitions about quality control, and explicitly build on students' prior knowledge that I gathered from student interviews. I illustrate the utility of the story in supporting students' sense-making of the formal definition by sharing changes in students' claims and justifications about the relationship between [epsilon] and [delta]. Students' justifications also provide examples of the kind of thinking an instructor might expect to see in the classroom when using the story. I end the paper with some classroom implications and a teaching episode illustrating how students might use the story to make sense of limit more broadly. (As Provided). |
| Anmerkungen | Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2024/1/01 |
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