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ERIC Number: ED544152
Record Type: Non-Journal
Publication Date: 2013-Jul
Pages: 14
Abstractor: As Provided
Reference Count: 24
Geometrical Constructions in Dynamic and Interactive Mathematics Learning Environment
Kondratieva, Margo
Online Submission, Mevlana International Journal of Education (MIJE) v3 n3 p50-63 Jul 2013
This paper concerns teaching Euclidean geometry at the university level. It is based on the authors' personal experience. It describes a sequence of learning activities that combine geometrical constructions with explorations, observations, and explanations of facts related to the geometry of triangle. Within this approach, a discussion of the Euler and Nigel lines receives a unified treatment via employment of a plane transformation that maps a triangle into its medial triangle. I conclude that during this course delivery, the role of constructions in dynamic and interactive environment was significant for students' genuine understanding of the subject. In particular, it helped them to work with concrete figures and develop their own preformal approaches before learning general theorems and proofs. At the same time it was essential to follow such strategies as gradually lead students from basic to advanced constructions, from making simple analogies to generalizations based on critical ideas and unified principles, and emphasize structural interconnectedness of the problems each of which adds a new element into a bigger picture. (Contains 10 figures.)
Publication Type: Journal Articles; Reports - Evaluative
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A