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| Autor/in | Hoban, Richard A. |
|---|---|
| Titel | A Resource for Introducing Students to the Integral Concept |
| Quelle | In: International Journal of Mathematical Education in Science and Technology, 50 (2019) 4, S.603-616 (14 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
| Zusatzinformation | ORCID (Hoban, Richard A.) |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 0020-739X |
| DOI | 10.1080/0020739X.2018.1480809 |
| Schlagwörter | Mathematics Instruction; Mathematical Concepts; Concept Formation; Calculus; Teaching Methods; College Mathematics; Mathematical Logic; Validity; High Schools; Secondary School Mathematics; Undergraduate Study |
| Abstract | Many students do not have a deep understanding of the integral concept. This article defines what a deep understanding of the integral is in respect to integration involving one independent variable; briefly discusses factors which may inhibit such an understanding; and then describes the design of a mathematical resource for introducing students to the integral concept. The resource addresses a number of challenges when introducing the integral: (1) choosing an appropriate, intuitive context which gives meaning to the symbols in the integral expression; (2) aiding the transfer of the integral expression to different contexts via using the Riemann sum in an informal way so that students can see and interpret the rectangles which are inherent in this sum; and (3) the gradual formalizing of the Riemann sum and its linkage with the Fundamental Theorem of Calculus. The resource has been used over a number of years at this university amongst first-year undergraduate science and engineering students. Anecdotal evidence would suggest that the resource is beneficial. (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 | 2020/1/01 |
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