• Title/Summary/Keyword: 18세기 수학

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A Study of the Representation and Algorithms of Western Mathematics Reflected on the Algebra Domains of Chosun-Sanhak in the 18th Century (18세기 조선산학서의 대수 영역에 나타난 서양수학 표현 및 계산법 연구)

  • Choi, Eunah
    • Journal of the Korean School Mathematics Society
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    • v.23 no.1
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    • pp.25-44
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    • 2020
  • This study investigated the representation and algorithms of western mathematics reflected on the algebra domains of Chosun-Sanhak in the 18th century. I also analyzed the co-occurrences and replacement phenomenon between western algorithms and traditional algorithms. For this purpose, I analyzed nine Chosun mathematics books in the 18th century, including Gusuryak and Gosasibijip. The results of this study are as follows. First, I identified the process of changing to a calculation by writing of western mathematics, from traditional four arithmetical operations using Sandae and the formalized explanation for the proportional concept and proportional expression. Second, I observed the gradual formalization of mathematical representation of the solution for a simultaneous linear equation. Lastly, I identified the change of the solution for square root from traditional Gaebangsul and Jeungseunggaebangbeop to a calculation by the writing of western mathematics.

Introduction of Analytical Method to Britain and British Mathematical Development in Nineteenth Century (19세기 초 영국의 해석적 방식의 도입과 이후 영국 수학의 발전 : 19세기 초 케임브리지 대학의 '해석학회'의 의의와 그 한계)

  • Cho, Su-Nam
    • Journal for History of Mathematics
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    • v.20 no.1
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    • pp.17-32
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    • 2007
  • In this paper, I review the origins, activities, and influences on the future mathematical development of the Analytical Society of Cambridge. The story of the late 18th century Scotland mathematicians and the early 19th century Cambridge mathematician such as Woodhouse, and the Analytical Society's history show that the Analytical Society wasn't a completely new and reformative meeting. This article reveals that the new analytical studies developed characteristically in Britain's specific intellectual and social context of the late 18th century and the early 19th century.

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A study on the contents related to the plane figures of Joseon-Sanhak in the late 18th century (18세기 후반 조선산학서에 나타난 평면도형 관련 내용 분석)

  • Choi, Eunah
    • The Mathematical Education
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    • v.61 no.1
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    • pp.47-62
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    • 2022
  • This study investigated the contents related to the plane figures in the geometry domains of Joseon-Sanhak in the late 18th century and focused on changes in explanations and calculation methods related to plane figures, the rigor of mathematical logic in the problem-solving process, and the newly emerged mathematical topics. For this purpose, We analyzed , and written in the late 18th century and and written in the previous period. The results of this study are as follows. First, an explanation that pays attention to the figures as an object of inquiry, not as a measurement object, and a case of additional presentation or replacing the existing solution method was found. Second, descriptions of the validity of calculations in some problems, explanations through diagrams with figure diagrams, clear perceptions of approximations and explanations of more precise approximation were representative examples of pursuing the rigor of mathematical logic. Lastly, the new geometric domain theme in the late 18th century was Palsun corresponding to today's trigonometric functions and example of extending the relationship between the components of the triangle to a general triangle. Joseon-Sanhak cases in the late 18th century are the meaningful materials which explain the gradual acceptance of the theoretical and argumentative style of Western mathematics

과학기술,그 뿌리와 현주소/수학편(중)-산업혁명이 근대수학의 산실

  • Kim, Yong-Un
    • The Science & Technology
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    • v.31 no.5 s.348
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    • pp.25-27
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    • 1998
  • 근세에 들어오면서 과학은 산업. 정치의 전반적인 문제와 얽히고 그 영향으로 물리학. 수학이 발달하게 된 계기가 마련되었다. 수학연구는 16세기가 끝나면서 그 당시의 과학 ,기술적 요청에 따라 이탈리아 .독일 등 유럽에서 활발히 움직였다 17세기 '뉴턴의 만유인력의 법칙'등 5대 발견을 계기로 새로운 수학의 시대를 열었으며 18~19세기의 산업혁명과 근대 자본주의 형성 등 사회적 대변동이 근대수학의 새로운 체계를 이루는 산실이 되었다.

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A Study on the Features of the Curriculum of Chosun-Sanhak in the 17th to 18th Century (17-18세기 조선산학의 교육과정적 특징 고찰)

  • Choi, Eun Ah
    • Journal of Educational Research in Mathematics
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    • v.24 no.3
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    • pp.409-428
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    • 2014
  • The purpose of this study is to examine the features of the curriculum of Chosun-Sanhak(朝鮮算學), the mathematics of Chosun Dynasty in the 17th to 18th century. The results of this study are as follows. First, the goal of education, teaching-learning method and assessment of Chosun-Sanhak in the 17th to 18th century had not changed since the 15th century. Second, the changes in the field of the organization of mathematical contents were observed. Chosun-Sanhak in that time was higher in the hierarchy than in the 15th to 16th century. The share of the equation and geometry had increased and various topics of mathematics had been studied as well. Third, in the field of the characteristics of mathematical contents, the influx of European mathematics and the uniqueness of Chosun-Sanhak had been observed. In conclusion, The 17th to 18th century was the time when Chosun-Sanhak had pursued the identity escaping from the effects of Chinese-Sanhak.

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Gou Gu Shu in the 19th century Chosun (19세기(世紀) 조선(朝鮮)의 구고술(句股術))

  • Hong, Sung-Sa;Hong, Young-Hee;Kim, Chang-Il
    • Journal for History of Mathematics
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    • v.21 no.2
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    • pp.1-18
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    • 2008
  • As a sequel to the previous paper Gou Gu Shu in the 18th century Chosun, we study the development of Chosun mathematics by investigating that of Gou Gu Shu in the 19th century. We investigate Gou Gu Shu obtained by Hong Gil Ju, Nam Byung Gil, Lee Sang Hyuk and Cho Hee Soon among others and find some characters of the 19th century Gou Gu Shu in Chosun.

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18세기 수학

  • 박창균
    • Proceedings of the Korean Society for History of Mathematics Conference
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    • 1998.11a
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    • pp.10-10
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    • 1998
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Chinese Mathematics in Chosun (조선(朝鮮)과 중국수학(中國數學))

  • Lee, Chang Koo;Hong, Sung Sa
    • Journal for History of Mathematics
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    • v.26 no.1
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    • pp.1-9
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    • 2013
  • It is well known that the development of mathematics in eastern Asia was based on Chinese mathematics. Investigating Chinese mathematics books that were brought into Chosun, we study how Chinese mathematics influenced Chosun mathematics. Chinese mathematics books were brought into Chosun in three stages, namely basic mathematics books in the era of King SeJong(1397-1450), Chinese mathematics books influenced by western mathematics in the 17th century and finally those with commentaries on mathematics of Song-Yuan era in the 19th century. We also study the process of their importations.

A Study on Elementary Textbooks In Terms of Theories on Counting - In Comparison with Foreign Textbooks (수 세기 이론 관점에서의 초등학교 교과서 고찰 -외국 교과서와의 비교를 바탕으로-)

  • Hong, Gap Ju;Kang, Jeong Min
    • School Mathematics
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    • v.18 no.2
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    • pp.375-396
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    • 2016
  • This study considered Elementary school textbook and teacher's manual in Korea in terms of theories on counting. First we considered the meaning of counting in elementary school mathematics based on many preceding researches. And we compared textbooks in Korea with foreign textbooks in Singapore, China, USA. As a result, compared with Korea, these foreign textbooks reflect the theories on counting more actively. First of all, they consider counting to be an important basis for the four operations. Teacher's manual in Korea introduces the theories on counting, but the content was limited and thread was not clear. Based on these consideration, We discussed reflection of elementary school textbook in terms of theories on counting.