• Journal for History of Mathematics
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• v.22 no.4
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• pp.67-82
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• 2009

We study Choi Suk Jung's on perspective of philosophy of mathematics. He explains Chosun mathematics as systems of Changes through and redefines on So Kang Gul's Sasang theory. This is the unique view on Chosun mathematics. we conjecture that Choi Suk Jung tries to establish the mathematical principle on So Kang Gul's Sasang theory.

• Journal for History of Mathematics
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• v.23 no.4
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• pp.1-15
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• 2010

We study the thought of numerical theory of $Sh\grave{a}o$ $K\bar{a}ngji\acute{e}$. He explained the change of universe and everything in his theoretical system in tradition of . It is contained in his . We conjecture that this book influenced . Choi Suk Jung tried to embody the ideas of $Sh\grave{a}o$ $K\bar{a}ngji\acute{e}$ in .

• Journal for History of Mathematics
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• v.27 no.2
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• pp.111-125
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• 2014

Jisuguimundo is an inimitable magic hexagon devised by Choi Seok-Jeong, who was the author of GuSuRyak as well as a prime minister in Joseon dynasty. Jisuguimundo, recorded in GuSuRyak, is also known as Hexagonal Tortoise Problem (HTP) because its nine hexagons resemble a tortoise shell. We call the sum of numbers in a hexagon in Jisuguimundo a magic sum, and show that the magic sum of hexagonal tortoise problem of order 2 varies 40 through 62 exactly and that of hexagonal tortoise problem of order 3 varies 77 through 109 exactly. We also find all of the possible solutions for hexagonal tortoise problem of oder 2.

• Journal for History of Mathematics
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• v.19 no.2
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• pp.1-24
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• 2006

We study the theory of finite series in Chosun Dynasty Mathematics. We divide it into two parts by the publication of Lee Sang Hyuk(李尙爀, 1810-?)'s Ik San(翼算, 1868) and then investigate their history. The first part is examined by Gyung Sun Jing(慶善徵, 1616-?)'s Muk Sa Jib San Bub(默思集算法), Choi Suk Jung(崔錫鼎)'s Gu Su Ryak(九數略), Hong Jung Ha(洪正夏)'s Gu Il Jib(九一集), Cho Tae Gu(趙泰耉)'s Ju Su Gwan Gyun(籌書管見), Hwang Yun Suk(黃胤錫)'s San Hak Ib Mun(算學入門), Bae Sang Sul(裵相設)'s Su Gye Soe Rok and Nam Byung Gil(南秉吉), 1820-1869)'s San Hak Jung Ei(算學正義, 1867), and then conclude that the theory of finite series in the period is rather stable. Lee Sang Hyuk obtained the most creative results on the theory in his Ik San if not in whole mathematics in Chosun Dynasty. He introduced a new problem of truncated series(截積). By a new method, called the partition method(分積法), he completely solved the problem and further obtained the complete structure of finite series.

• Journal for History of Mathematics
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• v.19 no.2
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• pp.25-46
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• 2006

We investigate the process of western mathematics into Chosun and its influences. Its initial and middle stages are examined by Choi Suk Jung(崔錫鼎, $1645\sim1715$)'s Gu Su Ryak(九數略), Hong Jung Ha(洪正夏, $1684\sim?$)'s Gu Il Jib(九一集) and Hwang Yun Suk(黃胤錫, $1719\sim1791$)'s I Su Shin Pyun(理藪新編), Hong Dae Yong(洪大容, $1731\sim1781$)'s Ju Hae Su Yong(籌解需用), respectively. Western mathematics was transmitted for the study of the Shi xian li(時憲曆) when it was introduced in Chosun. We also analyze Su Ri Jung On Bo Hae(數理精蘊補解, 1730?) whose author studied $Sh\grave{u}\;l\breve{i}\;j\bar{i}ng\;y\grave{u}n$ most thoroughly, in particular for astronomy, and finally Lee Sang Hyuk(李尙爀, $1810\sim?$), Nam Byung Gil(南秉吉, $1820\sim1869$) who studied together structurally western mathematics.

• Journal for History of Mathematics
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• v.35 no.5
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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.

• 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 of the Korean School Mathematics Society
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• v.15 no.1
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• pp.155-169
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• 2012

In this paper, we explored the possibility that JiSuYongYukDo and JiSuGuiMunDo which were posed by Suk-Jung Choi can be used for storytelling. Firstly, from the solutions of JiSuYongYukDo and JiSuGuiMunDo which were offered by Suk-Jung Choi, students can inquire out finding four characteristics such as: He chose expected values as magic numbers, used pairs of two complementary numbers, there are independent four pairs of numbers which do not affect other pairs, and the array which exchange every two complementary numbers in certain solution is also solution. Secondly, in case of JiSuYongYukDo students can inquire out finding six numbers that satisfy certain condition instead of finding solutions, and in case of JiSuGuiMunDo students can inquire out finding eleven numbers that satisfy certain conditions instead of finding solutions. And through this strategy, they know that Suk-Jung Choi style solutions can be obtained variously in one's own way without undergoing many trials and errors.