• 한국수학사학회지
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• 제17권3호
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• pp.73-92
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• 2004

본 연구에서는 브루너의 이론에서 처음 등장하여 수학과 교수$.$학습 방안을 구성하는데 주요한 도구가 되어온 '기본개념'을 둘러싼 다양한 고찰을 다룬다. 기본개념의 주요한 특성 가운데 한 가지는 그 성립과정이 수학사적 전개와 조응한다는 점이다. 따라서 수학교육을 위한 내용과 방법을 구성할 때 수학사는 아주 유용하고도 중요한 토대로서 작용한다는 것을 기본개념의 탐색과 관련하여 다룬다. 그리고 기본개념으로서 평균값을 지도하는 방안을 모형으로 제시하도록 한다.

• 한국수학사학회지
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• 제18권2호
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• pp.43-54
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• 2005

수학사의 교수학적 의미를 살펴보고 수학 교육과정상 수학사의 연계 가능성을 분석하면서 초등학교 교수학적 현상에 적용해 본 사례들을 통해 그 가능성을 논하고자 한다. 이를 통하여 수학 교육학적 입장에서 교실 현장에 나가기 전 예비교사들의 수학사적 연계에 대한 교수경험의 중요성과 교실현장 학생들의 학습경험의 중요성을 수학 교수학적 입장에서 입증할 수 있는 기초 자료를 제공할 것이다.

• Journal of East-Asian Urban History
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• 제2권2호
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• pp.309-339
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• 2020

Obviously the speed of dissemination of new, modern ideas in Jiangnan was closely related to the development of transportation. Looking back at the history, the backwardness of transportation in the early modern Jiangnan restrict the dissemination of new ideas in this region and then the situation changed a lot since the 1890s, when the spatial distance between Shanghai and Jiangnan was remarkably shortened, the dissemination of new ideas was accelerated, and the new ideas in return significantly influenced the Jiangnan society. It was the constantly improved transportation that facilitated the diversification of channels disseminating information and made the dissemination itself faster. As a consequence, the new ideas, knowledge, and things were rapidly disseminated and popularized in Jiangnan, thereby giving impetus to the social changes in this region.

• 한국수학사학회지
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• 제17권1호
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• pp.33-42
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• 2004

In this paper, we identify the essential ideas of Fundamental Theorem of Arithmetic(FTA). Then, we compare these ideas with several theorems of Euclid's Elements to investigate whether the essential ideas of FTA are contained in Elements or not. From this, we have the following conclusion: Even though Elements doesn't contain FTA explicitly, it contains all of the essential ideas of FTA. Finally, we assert two reasons why Greeks couldn't mention FTA explicitly. First, they oriented geometrically, and so they understood the concept of 'divide' as 'metric'. So they might have difficulty to find the divisor of the given number and the divisor of the divisor continuously. Second, they have limit to use notation in Mathematics. So they couldn't represent the given composite number as multiplication of all of its prime divisors.

• 건축역사연구
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• 제1권1호
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• pp.218-227
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• 1992

What is Deconstruction which is now the focus of the current architectural discussion? In order to know the Deconstruction properly, we should review the background of Modernism and Post-Modernism in architecture. As we know, the 1968's serial uprisings of democratic movement in Paris changed human concepts about art dramatically. As the result of that movement new ideas such as Structuralism, Post-structuralism, Deconstruction, and Semiotics arose. In architecture some ideas like construotioniem were not practised fully in 1920's and only the Modernism has been realized as the idea expressing the modern Utopia. In Korea situation to interprete architectural ideas into real buildings are different from those of other developed countries. Korean architects are seemed to use Deconstructionist vocabularies as fashionable styles without being concious of the root and history of Deconstruction. For Koreans the contexts are different. Although Modernism and Functionalism have been practised vigorously in Korea as other countries, the situations are ambiguous and complicated in applying new ideas introduced after Moderism. So they are in chaos. What could be our orthodox ideology to be worth pursuing in arthitecture? There are several sample works of Deconstruction in Korea done by Jo, Geon young, Kim, In Chul and Bae Byung-Gil. Aithough their works cannot be interpreted as real Deconstruction in European or american view-points, I think they are good examples of Korean Deconstruction that express contemporary Korean architecture and its social background.

• 한국수학사학회지
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• 제19권4호
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• pp.81-96
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• 2006

수학에서 분석(analysis)의 역사는 고대 그리스에서부터 시작되었다. 그리스의 기하적 분석법은 16세기 비에트$(Vi{\`{e}}te)$와 데카르트(Descartes) 이후 방정식을 이용한 문제해결(대수적 분석법)로 확장되었으며, 그 결과 대수는 분석을 위한 기술(art for analysis)로 대변되었다. 그리고 뉴헌(Newton)과 라이프니츠(Leibniz)에 의해 미적 분학이 탄생되면서 분석은 대수에서 한 걸음 더 나아가 오늘날 수학의 한 분야인 해석학으로 발전되었다. 그 동안 수학교육학 연구에서는 분석과 관련된 논의가 파푸스(Pappus)와 데카르트를 중심으로 다루어져 왔으나, 지금까지 라이프니츠의 역할과 그에 대한 연구는 거의 다루어지지 않았다. 본 연구는 라이프니츠의 철학 및 논리학을 바탕으로 그 가운데 분석과 관련된 그의 아이디어를 살펴보고, 이를 통해 그가 생각한 수학에서의 분석의 역할에 대해 논의하였다.

• 건축역사연구
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• 제18권2호
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• pp.65-83
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• 2009

This research was to analyze the direction ideas of residential Feng Shui. In ancient China residential places were been established by Xiangzhai(相宅) and Buzhai(卜宅) usages. And ancient Chinese always considered geographical features of mountains and waters for setting up their living places. Geographical features were also considered importantly ih representative residential Feng Shui books, Zhaijing(宅經) and Yangzhaisanyao(陽宅三要). In Zhaihing, 24 direction ideas are co-related with Fagui(八卦) and GanZhi(千支) theories, and they are most important residential Feng Shiui direction theories. The basic thoughts of 24 direction ideas of Zhaijing were already formed in Qin(秦) dynasty and modified in early Han(漢) dynasty. In Zhaijing, residential places were splited into Yangzhai(陽宅) and Yinzhai(陰宅) according to YinYang's Qi directions. Those were actually formed from meticulous observations on changing processes of YinYangWuXing(陰陽五行)'s Qi(氣). Constantly changed Qi of YinYangWuXing were studied by old chinese people from the observations on the sun, the moon, the five stars, the Great Bear, and ErShiBaXiu(二十八宿). The origin of Zhaijing's direction ideas is the direction system of ShiPan(式盤) in Qin and Han dynasty. On ShiPan TianGan(天干) Dizi(地支) Fagui TianDiRenGui(天地人鬼) were arranged very systematically into four and 24 directions. DongxiSizhai(東西四宅) theories of Yangzhaisanyao had edited more lately than Zhaijing(宅經), and formed according to Fagui(八卦)'s YinYang(陰陽) principles. But the basic ideas is same with Zhaihing's. It proves that residential Feng Shui theories were constantly improved and modified. And both residential Feng Shui direction ideas of Zhaijing and Yangzhaisanyao are the gentral ideas in old china. The point of that ideas is Sky's four or 24 directions are correspndence with the earth's. It came from the traditional thoughts that Heaven, Earth, and mankind are c0-related and influenced each other according to Qi's changing processes. Gather up above mentioned, the direction ideas of residential Feng Shui is a systematic thoughts of old chinese for harmonizing Tian-Di-Ren-Gui, and is their specific methods for harmonizing the nature's Qi, mankind and spirits.

• 한국의사학회지
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• 제13권1호
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• pp.129-148
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• 2000

By researching into "Sin Kan Kyung Bon Hwal In Sim Bup", written by Chu Kweon in the early Ming era, author have concluded that Chu Kweon pursued new medical ideas centered around recuperation. In particular, Chu Kweon has asserted that disease is caused by mind and prescribed 'Chung Hwa Tang' and 'Hwa Ki Hwan' for the cure. This idea is very unique.

• 한국수학사학회지
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• 제15권2호
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• pp.33-48
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• 2002

In this article we study various proofs of Euler's theorem(the number of faces of any polyhedron, together with the number of vertices, is two more than the number of edges), from these proofs extract some mathematical ideas. In this paper we in detail introduce eight different proofs from various articles and textbooks.

• 한국수학사학회지
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• 제16권2호
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• pp.43-54
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• 2003

In this article we study various proofs of Heron's formula, extract some didactical ideas from these proofs, and didactically enlarge Heron's formula. In this paper we in detail introduce five different proofs from various articles and textbooks, and suggest our proof of Heron's formula. Enlarging this proof we are able to prove Brahmagupta's formula and generalized convex quadrangle's area formula.