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ERIC Number: EJ814432
Record Type: Journal
Publication Date: 2008-Dec
Pages: 16
Abstractor: As Provided
Reference Count: 19
ISSN: ISSN-0020-739X
A Case Example of Insect Gymnastics: How Is Non-Euclidean Geometry Learned?
Junius, Premalatha
International Journal of Mathematical Education in Science and Technology, v39 n8 p987-1002 Dec 2008
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.)
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A