• 한국수학사학회지
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• 제22권4호
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• pp.1-14
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• 2009

17세기에 서양 수학이 조선에 들어온 이래 조선에 가장 큰 영향을 끼친 산서는 수리정온(數理精蘊)이었다. 19세기 말 조선에서 신교육이 시작되면서 수리정온(數理精蘊)이후의 서양 수학을 가르치게 되었다. 이 때 일본을 거쳐서 들어온 서양 수학은 주로 교과서로 나타난다. 이 논문은 독립 운동가로 잘 알려진 이상설(李相卨)의 저서인 수리(數理)를 조사하여 19세기 말 선교사를 통하여 서양 수학이 조선에 전해지는 과정을 알아본다. 특히 이상설(李相卨)이 조선 산학의 대수학 분야에서 중요한 변화와 발전을 이루어 낸 것을 밝혀낸다.

• 한국학교수학회논문집
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• 제23권1호
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• pp.25-44
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• 2020

본 연구의 목적은 서양수학이 본격적으로 유입된 18세기 조선의 사회문화적 배경 하에 저슬된 조선 산학서의 대수 영역에서 서양수학의 표현과 계산법을 반영한 내용을 살펴보고, 서양식 계산법과 전통적 계산법의 공존 관계 또는 대체 양상을 분석하는 것이다. 이를 위해 18세기 산학문헌인 <구수략>, <고사신서>, <고사십이집>, <주해수용>을 중심으로 하여 <구일집>, <산학입문> 등 총 9종의 산학문헌을 분석하였다. 분석 결과, 산대 조작을 기반으로 하는 전통적인 사칙계산법이 과도기적 표현을 거쳐 유럽 수학의 필산으로 발달해가는 과정과 서양의 비례 개념과 비례식을 형식화하여 명시적으로 다루는 18세기 산학서의 공통적 변화를 확인하였다. 또한 연립일차방정식 해법의 계산식의 수학적 표현이 점진적으로 형식화되는 과정을 관찰하였다. 제곱근 계산법이 전통적인 개방술에서 증승개방법의 적용으로, 다시 유럽 산술이 반영된 제곱근을 구하는 필산으로 변화해가고 있음을 확인하였다. 이상의 18세기 조선산학 사례들은 수학의 진화적 속성과 사회문화적 속성을 이해할 수 있는 의미 있는 자료라고 할 수 있다.

• Structural Monitoring and Maintenance
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• 제2권3호
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• pp.237-252
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• 2015

This paper addresses the issue of reliability and performance in wireless sensor networks (WSN) based structural health monitoring (SHM), particularly with decentralized damage identification techniques. Two decentralized damage identification algorithms, namely, the autoregressive (AR) model based damage index and the Wiener filter method are developed for structural damage detection. The ambient and impact testing have been carried out on the steel beam structure in the laboratory. Seven wireless sensors are installed evenly along the steel beam and seven wired sensor are also installed on the beam to monitor the dynamic responses as comparison. The results showed that wireless measurements performed very much similar to wired measurements in detecting and localizing damages in the steel beam. Therefore, apart from the usual advantages of cost effectiveness, manageability, modularity etc., wireless sensors can be considered a possible substitute for wired sensors in SHM systems.

• 한국수학사학회지
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• 제11권1호
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• pp.36-41
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• 1998

In the Chosun Dynasty Nam, Byung-Gil(another name is Nam, Sang-Gil alias Won-Sang; 1820-1869) made a research comparing Chinese traditional mathematics with western mathematics, which missionaries who came to China at the end of Ming Dynasty introduced. He particularly studied fundamental differences between Chinese and western methods to solve algebraic equations. He wrote an article "Moo-Ee-Hae", in which he insisted that the two methods are eventually same though they are different in the고 expressions. His article has big significance as the first mathematic paper in the history of Korean mathematics.thematics.

• 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.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제5권2호
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• pp.127-132
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• 2001

Mathematics holds a key position among many subjects of school education. Besides having an instrumental value, mathematics for the general public has been underestimated. Thus, in this paper we examine how western educational theorists have emphasized the value of mathematics as humanities form of education. First of all, we discuss Platonism as a philosophical basis of the ancient Greek mathematics education. Next, we examine the thoughts of Froebel, who provided the theoretical basis for the public education since 19th century, and discuss the value of mathematics teaching in their humanistic educational thoughts. Also, we examine the humanistic value of mathematics education in Dewey\\`s educational philosophy, which criticized the traditional western ethics and epistemology, and established instrumentalism. In this paper, we recognize the humanistic values of mathematics education through the historical examination of the philosophies of mathematics education.

• 한국수학사학회지
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• 제19권2호
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• pp.25-46
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• 2006

서양 수학이 조선에 전입된 과정과 그 영향을 연구한다. 초기 과정은 최석정(崔錫鼎)$(1645\sim1715)$의 구수약(九數略), 홍정하(洪正夏)$(1684\sim?)$의 구일집(九一集), 중기 과정은 황윤석(黃胤錫)$(1719\sim1791)$의 이수신편(理藪新編), 홍대용(洪大容)$(1731\sim1781)$의 주해수용(籌解需用)을 통하여 조사한다. 서양 수학은 시헌력(時憲曆)의 도입과 함께 천문학의 연구를 위하여 도입되었다. 수리정온(數理精蘊)을 가장 잘 이해한 학산(鶴山) 초부(樵夫)의 수리정온보해(數理精蘊補解)(1730?)를 연구하고 서양 수학을 구조적으로 이해한 19세기의 이상혁(李尙爀)$(1810\sim?)$, 남병길(南秉吉)$(1820\sim1869)$을 연구한다.

• 한국수학사학회지
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• 제32권6호
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• pp.259-270
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• 2019

Haidao Suanjing was introduced into Joseon by discussion in Yang Hui Suanfa (楊輝算法) which was brought into Joseon in the 15th century. As is well known, the basic mathematical structure of Haidao Suanjing is perfectly illustrated in Yang Hui Suanfa. Since the 17th century, Chinese mathematicians understood the haidao problem by the Western mathematics, namely an application of similar triangles. The purpose of our paper is to investigate the history of the haidao problem in the Joseon Dynasty. The Joseon mathematicians mainly conformed to Yang Hui's verifications. As a result of the influx of the Western mathematics of the Qing dynasty for the study of astronomy in the 18th century Joseon, Joseon mathematicians also accepted the Western approach to the problem along with Yang Hui Suanfa.

• Kyungpook Mathematical Journal
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• 제17권1호
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• pp.71-77
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• 1977

• 한국수학사학회지
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• 제35권5호
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• pp.131-146
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• 2022

This study is to find out how to use the materials of East Asian history in mathematics classroom. Although the use of the history of mathematics in classroom is gradually considered advantageous, the usage is mainly limited to Western mathematics history. As a result, students tend to misunderstand mathematics as a preexisting thing in Western Europe. To fix this trend, it is necessary to deal with more East Asian history of mathematics in mathematics classrooms. These activities will be more effective if they are organized in the context of students' real life or include experiential activities and discussions. Here, the study suggests a way to utilize the mathematical ideas of Bāguà and Liùshísìguà, which are easily encountered in everyday life, and some concepts presented in 『Nine Chapter』 of China and 『GuSuRyak』 of Joseon. Through this activity, it is also important for students to understand mathematics in a more everyday context, and to recognize that the modern mathematics culture has been formed by interacting and influencing each other, not by the east and the west.