The Mathematical Education (한국수학교육학회지시리즈A:수학교육)
- Volume 41 Issue 2
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- Pages.215-225
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- 2002
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- 1225-1380(pISSN)
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- 2287-9633(eISSN)
An Investigation of Bisector of Interior and Exterior Angles in Triangle by Using Analogy
유추를 이용한 삼각형의 각의 이등분선 성질 탐구
Abstract
In this paper we consider some properties of. bisector of interior angle(theorem 1) and exterior angle(theorem 2) in triangle by using analogy. As a result of analyzing various mathematics textbooks we have known that they focused not on relation between two theorems, but on describing two theorems. We have seen that theorem 2 is able to be inferred from theorem 1 by using analogy. After proving theorem 1 by some methods we analyze proof process, extract proof ideas, and analogize some ideas for proving theorem 2. From this we are able to find relationships between theorem 1 and 2.