• 한국수학사학회지
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• 제19권1호
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• pp.79-90
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• 2006

본 논문은 중$\cdot$고등학교에서 특수각의 삼각비를 삼각비의 원래 기원인 기하학적 의미가 아닌 지나친 대수적 접근방법으로 지도하고 있다는 문제점으로부터 출발하여 특수각의 삼각비를 유클리드 <원론>에 기초한 정오각형과 정십각형의 작도법으로부터 유도하고자 한다. 이를 위하여 정오각형과 정십각형의 작도법을 고찰하고 이로부터 다양한 특수각을 기하적으로 유도하고 있다. 이런 기하학적 방법을 통하여 특수각의 삼각비의 기하학적 의미를 재조명하고 수학사를 활용한 삼각비의 교수방법을 제시하고자 한다.

• 한국수학사학회지
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• 제21권2호
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• pp.119-134
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• 2008

본 연구에서는 1709년 러시아에서 출판되었고, 다양한 작도문제의 해결방법이 기술된 '자와 컴퍼스의 방법'을 분석하였다. 이 책에 제시된 정삼각형, 정사각형, 정오각형, 정육각형, 정8각형, 정10각형의 작도방법을 소개하고, 이에 관련된 다양한 논의를 시도하였다. 이를 통해 정다각형 작도에 관련된 역사-발생적 연구를 위한 새로운 자료를 제공할 것으로 기대된다.

• 한국수학사학회지
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• 제29권2호
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• pp.73-88
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• 2016

To introduce materials related to our traditional mathematics and to reinterpret modernly them could be a good tool to find the cultural values of them. We analyzed the degree for utilization of the history of mathematics in the middle school textbooks developed depending on the 2009 revised mathematics curriculum. Through this, we suggest the need for research on concrete and practical teaching and learning materials development utilizing the history of mathematics. We reinterpret, in modern style based on the curriculum, two subjects dealt with in 'GakDeungByeonHyeongSeupYu', the first theme of 'SanSulGwanGyeon' written by Lee Sang Hyuk. We expansively reconstruct the original samples up to regular decagon so that students might figure out the situation of all regular polygon using a kind of mathematics software GeoGebra. Also this process is constructed on the basis of the curriculum for an implementation the secondary school classes.

• 한국의류학회지
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• 제32권2호
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• pp.167-178
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• 2008

Despite the fact that chogakpos are part of our wonderful Kyubang(the women's quarters in the Chosun Dynasty) culture with their own unique beauty and artistic values, there has been no scientific and objective proof of their aesthetic values. Once they are proved for their beauty through scientific analysis, they will be recognized worldwide along with our unique culture. The methodology included a review of related literature and theses along with magazines, periodicals, and Internet books. The analysis of lines parting, the dimensions of chogakpos were carried out over 108 pieces introduced in Old Pojagis by Heo Dong-hwa. As for line parting, the dimensions of chogakpos were measured to see if the golden and Geumgang ratio could be applied and to discover their unique partition ratio. As a result, there was the presence of the golden ratio applied to them with the golden curves from golden triangles and rectangles also found therein. The Yeoijumunbo confirmed that there was the golden ratio between the radius of a circle and a side of a regular decagon inscribed in the circle. The common line ratio among the squares, isosceles triangles, wanes, and overlapping rectangles was around 1:1.31, which means that there was a unique line ratio in the traditional chogakpos. Furthermore, the ratio of 1:1.31 was close to the Geumgang ratio commonly used in the traditional buildings of Korea.