초등 영재 교수,학습을 위한 평면에서의 등주문제 내용구성 연구 -기하적인 방법을 중심으로- = A Study on the Teaching Design of the Isoperimetric Problem on a Plane for Mathematically gifted students in the Elementary School -focused on the geometric methods-

다국어 초록 (Multilingual Abstract)

In this article, we study on the teaching design, focused on the geometric methods, of 2-D isoperimetric problem for the elementary mathematically gifted students. For our teaching design, we discussed the ideals of Zenodorus`s polygon proof, Steiner`s four-hinge proof, Steiner`s mean boundary proof, Steiner`s snowball-packing proof, Edler`s finite existence proof and Lawlor`s dissection proof, and then the ideals achieved were modified with the theoretical backgrounds-the theory of Freudenthal`s mathematisation, the method of analysis-synthesis. We expect that this article would contribute to the elementary mathematically gifted students to acquire and to improve spatial sense.

참고문헌 (Reference)

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