• Proceedings of the Korean Society for History of Mathematics Conference
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• 1998.11a
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• pp.11.2-11.2
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• 1998

• Journal for History of Mathematics
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• v.9 no.1
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• pp.58-69
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• 1996

• Proceedings of the Korean Society for History of Mathematics Conference
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• 2005.11a
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• pp.6-6
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• 2005

• Proceedings of the Korean Society for History of Mathematics Conference
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• 2005.11a
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• pp.8-8
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• 2005

• Proceedings of the Korean Society for History of Mathematics Conference
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• 1999.11a
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• pp.6-6
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• 1999

• Proceedings of the Korean Society for History of Mathematics Conference
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• 1999.11a
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• pp.1-1
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• 1999

• Communications of Mathematical Education
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• v.23 no.2
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• pp.297-312
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• 2009

We study the process of horizontal and vertical mathematization on the polyhedron problems through the history of mathematics, computer experiments, problem posing, and justifications. In particular, we explore the Hamilton cycle problem, coloring problem, and folding net construction on the Archimedean and Catalan polyhedrons. In this paper, we present our mathematical results on the polyhedron problems, and we also present some unsolved problems that we found. We found that the history of mathematics and mathematical experiments are very useful in such R&E exploration as polyhedron problem posing and solving project.

• Journal for History of Mathematics
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• v.11 no.1
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• pp.58-67
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• 1998

It is said that we are teaching mathematics because it is useful, beautiful and culturally valuable and also strengthens the mind. In the paper we consider the role of history of mathematics in accomplishing these purposes.

• Journal for History of Mathematics
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• v.21 no.2
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• pp.19-38
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• 2008

This study aims to investigate the evolution of calculating the volume of a sphere in eastern and western mathematical history. In western case, Archimedes', Cavalieri's and Kepler's approaches, and in eastern case, Nine Chapters';, Liu Hui's and Zus' approaches are worthy of noting. The common idea of most of these approaches is the infinitesimal concept corresponding to Cavalieri's or Liu-Zu's principle which would developed to the basic idea of Calculus. So this study proposes an alternative to organization of math-textbooks or instructional procedures for teaching the volume of a sphere based on the principle.

• Journal for History of Mathematics
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• v.31 no.4
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• pp.169-181
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• 2018

We here discuss about the roles and meaning of Joseon mathematics in the history of Asian mathematics from cultural perspective. To do so, we focus on culture. We first look at the meanings and the definitions of the terms, civilization and culture, and their differences. We next discuss on the cultural perspective to look at the mathematical history of Korea, which is considered as a part of the history of Asian mathematics. It is notable that Joseon mathematics of Korea made Asian mathematics develop further, and played the roles of academic bridges among China, Korea and Japan. It also kept and prolonged the life of the Asian mathematics up to the beginning of the 20th century.