Literaturnachweis - Detailanzeige
Autor/in | Junius, Premalatha |
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Titel | A Case Example of Insect Gymnastics: How Is Non-Euclidean Geometry Learned? |
Quelle | In: International Journal of Mathematical Education in Science and Technology, 39 (2008) 8, S.987-1002 (16 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0020-739X |
Schlagwörter | Cognitive Processes; Geometry; Mathematics Instruction; Case Studies; Geometric Concepts; Psychological Patterns; Learning Processes; College Mathematics; College Students; Prior Learning; Motion; Definitions; Problem Solving; Conflict |
Abstract | The focus of the article is on the complex cognitive process involved in learning the concept of "straightness" in Non-Euclidean geometry. Learning new material is viewed through a conflict resolution framework, as a student questions familiar assumptions understood in Euclidean geometry. A case study reveals how mathematization of the straight line concept in Euclidean and Non-Euclidean geometry emerges through the use of analogy, imagination and motion, moving the student from an extrinsic view to an intrinsic view, thus providing a psychological account of how students learn a new geometry. Practical implications for mathematics education are provided. (Contains 7 figures.) (As Provided). |
Anmerkungen | Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2017/4/10 |