한국수학교육학회지시리즈A:수학교육 (The Mathematical Education)
- 제41권2호
- /
- Pages.215-225
- /
- 2002
- /
- 1225-1380(pISSN)
- /
- 2287-9633(eISSN)
유추를 이용한 삼각형의 각의 이등분선 성질 탐구
An Investigation of Bisector of Interior and Exterior Angles in Triangle by Using Analogy
초록
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.