• Journal for History of Mathematics
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• v.22 no.2
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• pp.1-12
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• 2009

Zhu Shi Jie's Suan Xue Qi Meng is one of the most important books which gave a great influence to the development of Chosun Mathematics. Investigating San Hak Gye Mong Ju Hae(算學啓蒙註解) published in the middle of the 19th century, we study the development of Chosun Mathematics in the century. The author studied western mathematics together with theory of equations in Gu Il Jib (九一集) written by Hong Jung Ha(洪正夏) and then wrote the commentary, which built up a foundation on the development of Algebra of Chosun in the century.

• Journal for History of Mathematics
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• v.26 no.2_3
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• pp.123-130
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• 2013

It is well known that SuanXue QiMeng has given the greatest contribution to the development of Chosun mathematics and that the topics and their presentation including TianYuanShu in the book have been one of the most important backbones in the developement. The purpose of this paper is to reveal that Zhu ShiJie emphasized decidedly mathematical structures in his SuanXue QiMeng, which in turn had a great influence to Chosun mathematicians' structural approaches to mathematics. Investigating structural approaches in Chinese mathematics books before SuanXue QiMeng, we conclude that Zhu's attitude to mathematical structures is much more developed than his precedent ones and that his mathematical structures are very close to the present ones.

• The Science & Technology
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• v.33 no.4 s.371
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• pp.32-34
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• 2000

조선조 현종때 관리였던 김시진(1618~1667년)은 중국판 수학책 "산학계몽"을 우리나라서 인쇄 보급해 수학자 양성에 큰 공을 세운 인물이다. 중국 송나라때인 1299년 주세걸이 쓴 이 책은 중국의 수학사에서 빼놓을 수 없는 귀중한 책이었다. 그런데 이 책이 5백년의 세월이 흐르는 동안 중국에서는 사라져버려 조선에서 구해다가 다시 찍어낸 것이 지금의 "산학계몽"이다. 사무에 통달하고 산법이 밝았던 김시진은 현종때 경기 좌균전사의 벼슬을 지내고 경상감사까지 오른 당대의 수학자였다.

• Journal for History of Mathematics
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• v.21 no.1
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• pp.1-16
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• 2008

Suanxue qimeng(算學啓蒙) is the introduction to mathematics which greatly influenced Chosun mathematics, Muksa-jipsanbup(默思集算法) imitated the style and the contents of Suanxue qimeng, but contains a lot of problems, secondary solutions and topics which is not in Suanxue qimeng and tried to achieve educational improvement. However Muksa-jipsanbup could not use the method of rectangular arrays(方程術) because it excluded the method of positive and negative(正負術), and has a serious limitation in applying the method of extracting roots by iterated multiplication(增乘開方法) because it avoided the technique of the celestial element(天元術).

• Journal for History of Mathematics
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• v.25 no.4
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• pp.11-19
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• 2012

Zhu Shi Jie's Suan Xue Qi Meng (算學啓蒙) is one of the most important books which had a great influence to the development of Chosun Mathematics and Gyung SunJing's Muk Sa Jib San Bub is the oldest Chosun mathematics book. In this paper, comparing Suan Xue Qi Meng (算學啓蒙) with Muk Sa Jib San Bub, we study the mathematics educational constructions and structures in books and then conclude that their structure can be used in present school mathematics.

• The Mathematical Education
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• v.30 no.3
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• pp.101-125
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• 1991

Arithemetic Enlightenment is written for school beginner and has given much influence to Korea. this article makes a review of fraction in Arithemetic Enlightenment. Difference of the way of thinking between the West and the Orient, fraction in Njne Chapter of Arithemetic, overview of Arithemetic Enlightenment, fraction education in Arithemetic Enlightenment, all of which are described in this article.

• Communications of Mathematical Education
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• v.25 no.2
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• pp.341-360
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• 2011

This paper deals with contents that Sang-Seol Lee contributed to the natural science in the 19th century Korea. Prof. Sung-Rae Park, the science historian, called Sang-Seol Lee Father of the Modern Mathematics education of Korea. Sang-Seol Lee wrote a manuscript Botany with a brush in late 19th century. Botany was transcribed from Science Primers: Botany (written by J. D. Hooker), which is translated into Chinese by Joseph Edkins in 1886. The existence of Sang-Seol Lee's book Botany was not known to Korean scientists before. In this paper, we study the contents of Botany and its original text. Also we analyze people's level of understanding Western sciences, especially botany at that time. In addition, we study authors of 16 Primers jar Western Knowledge. We study the contribution of mathematician Sang-Seol Lee to science education in the 19th century Korea.

• Journal for History of Mathematics
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• v.25 no.2
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• pp.1-9
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• 2012

After disastrous foreign invasions in 1592 and 1636, Chosun lost most of the traditional mathematical works and needed to revive its mathematics. The new calendar system, ShiXianLi(時憲曆, 1645), was brought into Chosun in the same year. In order to understand the system, Chosun imported books related to western mathematics. For the traditional mathematics, Kim Si Jin(金始振, 1618-1667) republished SuanXue QiMeng(算學啓蒙, 1299) in 1660. We discuss the works by two great mathematicians of early 18th century, Cho Tae Gu(趙泰耉, 1660-1723) and Hong Jung Ha(洪正夏, 1684-?) and then conclude that Cho's JuSeoGwanGyun(籌 書管見) and Hong's GuIlJib(九一集) became a real breakthrough for the second half of the history of Chosun mathematics.

• Journal for History of Mathematics
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• v.28 no.2
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• pp.73-83
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• 2015

In this paper, we give answers to some interesting questions about a Confucian scholar and mathematician in the late Joseon Dynasty, CHOI Seok-Jeong(崔錫鼎, 1646-1715), who was inducted into the Science and Technology Hall of Fame (http://kast.or.kr/HALL) for his mathematical achievements in October, 2013. In particular, we discover that CHOI Seok-Jeong was able to devote his natural abilities and time to do research on mathematics, and that he frequently communicated with his friend and fellow scholar, LEE Se-Gu(李世龜, 1646-1700), who was an expert on the astronomical calendar and mathematics, based on at least 24 letters between the two.

• Journal for History of Mathematics
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• v.22 no.4
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• pp.15-28
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• 2009

In this paper, we study the 17th Century Chosun's mathematics book ${\ll}$Muk Sa Jib San Beob${\gg}$ written by Chosun's mathematician Kyeong Seon Jing. Our study of thebook shows the ${\ll}$Muk Sa Jip San Beop${\gg}$ as an important 17th Century mathematics book and also as a historical data showing the mathematical environment of 17th Century Chosun.