• 한국수학사학회지
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• 제16권2호
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• pp.23-34
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• 2003

In this paper, we consider relationship between the mathematics and the fine arts. The former is one of the advanced sciences, the latter is one of the arts. But there is correlation between the mathematics and the arts. Here, we concern with the ancient greek mathematics, Euclidean geometry and the ancient greek arts. The ancient greek arts is classified with Geometric Style, Archaic Style, Classical Style and Hellenistic Style. The Geometric Style, Classical Style and Hellenistic Style are very effected by Euclidean geometry. Because the greek artists as keep the geometric proportion as the Euclidean's 5th postulates. The artist's cannon in just golden ratio 1:(1＋$\sqrt{5}$)/2.

• 한국수학사학회지
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• 제24권1호
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• pp.45-61
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• 2011

교육의 출발점이 되는 고대 그리스의 철학과 사상을 탐색하기 위해, 헬레니즘 문명의 기초가 되는 가장 강력한 폴리스, 스파르타와 아테네의 정치체제와 문화, 교육의 제도를 중심으로, 특히 유아교육과 여성교육에 주목하면서 오늘날 우리나라의 유아교육을 조명한다. 나아가 그리스의 것을 모방한 것으로 알려진 로마의 철학과 사상을 살피면서 그 들의 유아교육은 그리스의 것과 또 우리의 유아교육과 어떻게 다른지 비교하면서 우리에게 주는 시사점을 찾고자 한다.

• 한국수학사학회지
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• 제13권1호
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• pp.113-124
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• 2000

In this paper, I will investigate the cultural factors that determine the direction of development of early mathematics. And I will survey the philosophical background of Greek logical mathematics. Then, I will survey the distinctive features of Korean.Chinese ancient mathematics which hindered the development of mathematics.

• 한국수학사학회지
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• 제17권1호
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• pp.119-125
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• 2004

Truth, goodness, and beauty are originated from the Greek philosophy and these concepts are unified by Kant. This article shows that these three concepts correspond to three conditions of axiomatics, that is, consistency, completeness, and independence, respectively.

• 대한수학교육학회지:수학교육학연구
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• 제21권1호
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• pp.57-65
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• 2011

이 연구는 학교수학에서 대학수학으로의 이행과정에서 정의와 증명의 변화와 관련하여, 기하학에서 공리적 방법의 발달과정을 분석하였다. 고대 그리스에서 현대수학적인 공리적 방법으로의 변화를 이해하는데 있어서, 상수 혹은 변수라는 기본용어의 성격 차이는 중요한 지표이다. 특히 기본용어의 상수에서 변수로의 성격 변화는 수학에서 정의와 증명 개념 및 수학에 대한 인식 변화를 설명한다. 이러한 수학사적 분석은 대학수학의 입문과정에서 형식적 정의와 증명 개념의 의미를 설명하는 데 유용하게 사용될 수 있으리라 기대된다.

• 한국수학사학회지
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• 제16권4호
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• pp.59-68
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• 2003

Mathematics and arts are reflection of the spirit of the ages, since they have human inner parallel vision. Therefore, in ancient Greek ages, the artists' cannon was actually geometric ratio, golden section. However, in middle ages, the Euclidean Geometry was disappeared according to the Monastic Mathematics, then the art was divided two categories, one was holy Christian arts and the other was secular arts. In this research, we take notice of Renaissance Painting and Perspective Geometry, since Perspective Geometry was influenced by Renaissance notorious painter, Massccio, Leonardo and Raphael, etc. They drew and painted works by mathematical principles, at last, reformed the paradigm of arts. If we can say Euclidean Geometry is tactile geometry, the Perspective Geometry can be called by visual geometry.

• 대한수학교육학회지:수학교육학연구
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• 제9권1호
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• pp.229-237
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• 1999

In this paper I examined the tangents to curves through the history of mathematics, expecially that of the Greek geometry and seventeenth century. The purpose of this examination is to show that the mathematical concept of curves is changed by the problems. And I analyzed the text books from the junior to high school. I found that the tangents which aretaught in junior school correspond to those of Greece, and the tangents in high school those of seventeenth century.

• 한국수학사학회지
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• 제1권1호
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• pp.14-32
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• 1984

The concepts of zero, minus, infinite, ideal point, etc. are not real existence, but are pure mathematical objects. These entities become mathematical objects through the process of a philosophical filtering. In this paper, the writer explores the relation between natural conditions of different cultures and philosophies, with its reference to fundamental philosophies and traditional mathematical patterns in major cultural zones. The main items treated in this paper are as follows: 1. Greek ontology and Euclidean geometry. 2. Chinese agnosticism and the concept of minus in the equations. 3. Transcendence in Hebrews and the concept of infinite in modern analysis. 4. The empty and zero in India.

• 한국수학교육학회:학술대회논문집
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• 한국수학교육학회 2010년도 제44회 전국수학교육연구대회
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• pp.261-267
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• 2010

Both history of mathematics and education of mathematics is old subject. The question arises wether can these two important subjects can help each other or not. Unfortunately this idea made mathematics society into two groups; one has idea that history of mathematics can help education of mathematics and other group has idea that not only history of mathematics can not help education of mathematics but also it makes some confusion. In this article the author is going to do some comparison and take some conclusion that history of mathematics can make education of mathematics so active and interesting.

• 한국수학사학회지
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• 제33권2호
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• pp.115-132
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• 2020

Social awareness of mathematics and academic attitudes toward the value of mathematics education has kept changing according to the intellectual, political and religious contexts. In this article, we examine how mathematics was defined and recognized in liberal arts education of the Roman Empire and early medieval Western Europe. This study analyzes how mathematics was described in encyclopedic works written in the Roman era after the mid-second century BC and in the Western European monasteries and cathedral schools after the fifth century. Ancient Greek mathematics took a clear place in liberal arts education through encyclopedia writings and prepared a mathematics curriculum for medieval universities. I hope this study will contribute to understanding the origin and context of the mathematics curriculum of medieval universities.