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ERIC Number: EJ844825
Record Type: Journal
Publication Date: 2009-Mar
Pages: 17
Abstractor: As Provided
ISSN: ISSN-0732-3123
Understanding Rigid Geometric Transformations: Jeff's Learning Path for Translation
Yanik, Huseyin Bahadir; Flores, Alfinio
Journal of Mathematical Behavior, v28 n1 p41-57 Mar 2009
This article describes the development of knowledge and understanding of translations of Jeff, a prospective elementary teacher, during a teaching experiment that also included other rigid transformations. His initial conceptions of translations and other rigid transformations were characterized as undefined motions of a single object. He conceived of transformations as movement and showed no indication about what defines a transformation. The results of the study indicate that the development of his thinking about translations and other rigid transformations followed an order of (1) transformations as undefined motions of a single object, (2) transformations as defined motions of a single object, and (3) transformations as defined motions of all points on the plane. The case of Jeff is part of a bigger study that included four prospective teachers and analyzed their development in understanding of rigid transformations. The other participants also showed a similar evolution. (Contains 1 table and 13 figures.)
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Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education; Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A