Literaturnachweis - Detailanzeige
| Autor/in | Gabour, Manal |
|---|---|
| Titel | Butterfly Spirals |
| Quelle | In: International Journal of Mathematical Education in Science and Technology, 53 (2022) 12, S.3428-3438 (11 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 0020-739X |
| DOI | 10.1080/0020739X.2021.1968049 |
| Schlagwörter | Mathematics Instruction; Computer Software; Secondary School Mathematics; College Mathematics; Undergraduate Study; Mathematical Concepts; Algebra; Geometry; Calculus; Mathematical Logic |
| Abstract | In this article special sequences involving the Butterfly theorem are defined. The Butterfly theorem states that if M is the midpoint of a chord PQ of a circle, then following some definite instructions, it is possible to get two other points X and Y on PQ, such that M is also the midpoint of the segment XY. The convergence investigation of those sequences reveals bounded piecewise spirals, and is done by using the free dynamic mathematics software GeoGebra. It is also supported with rigorous reasoning concerning the convergence of a special sequence. Moreover, it raises related problems that encourage further investigation. This article suggests a content that can be useful for students at secondary as well as undergraduate levels since it incorporates principles taught to students during their first courses in Algebra, Calculus and Geometry especially those related to convergent sequences, the algebra of complex numbers, plane isometries and basic Euclidean geometry. (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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