한국수학교육학회지시리즈A:수학교육 (The Mathematical Education)

  • 제50권4호
  • /
  • Pages.441-466
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  • 2011
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  • 1225-1380(pISSN)
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  • 2287-9633(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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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 -

  • 투고 : 2011.07.25
  • 심사 : 2011.11.18
  • 발행 : 2011.11.30
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초록

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.

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참고문헌

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