• Journal for History of Mathematics
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• v.17 no.3
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• pp.73-92
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• 2004

The paper surveys various attempts to use the concept of 'fundamental ideas' -Bruner's concept- as a tool for organizing mathematics teaching and research in mathematics education. One of the characteristics of fundamental ideas in mathematics is their correspondence to the history of mathematics; therefore in forming out contents and methods in mathematics education, the history of mathematics may be serve as an interesting aspect. It is demonstrated by the example of mean values.

• Journal for History of Mathematics
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• v.18 no.2
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• pp.43-54
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• 2005

The aims of the study were to analyze the contents of elementary mathematics curriculum in order to help students to have ideas about the history of mathematics and to apply the ideas to develop their knowledge of mathematicians or mathematical history into the lesson ideas for preservice elementary teachers and elementary students. As a result, many ideas of mathematical connection into the history of mathematics are reviewed, and posters about Pythagoras and Pascal are designed to help students to reinvent the idea of triangular numbers and square numbers.

• Journal of East-Asian Urban History
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• v.2 no.2
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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.

• Journal for History of Mathematics
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• v.17 no.1
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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.

• Journal of architectural history
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• v.1 no.1 s.1
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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.

• Journal for History of Mathematics
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• v.19 no.4
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• pp.81-96
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• 2006

This paper aims to review Leibniz's analytic ideas in his philosophy, logics, and mathematics. History of analysis in mathematics ascend its origin to Greek period. Analysis was used to prove geometrical theorems since Pythagoras. Pappus took foundation in analysis more systematically. Descartes tried to find the value of analysis as a heuristics and found analytic geometry. And Descartes and Leibniz thought that analysis was played most important role in investigating studies and inventing new truths including mathematics. Among these discussions about analysis, this paper investigate Leibniz's analysis focusing to his ideas over the whole of his studies.

• Journal of architectural history
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• v.18 no.2
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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.

• The Journal of Korean Medical History
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• v.13 no.1
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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.

• Journal for History of Mathematics
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• v.15 no.2
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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.

• Journal for History of Mathematics
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• v.16 no.2
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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.