Chinese Journal of Science Education


Vol. 8 No. 3, Pages 215 - 224, 2000

Nam Byung Gil's Comments on the "Tian Yuan Shu" Versus "Jie Gen Fang": An HPM Perspective (Article written in chinese)

Wann-Sheng HORNG

Abstract

In this article, I am going to give a preliminary observation on Korean mathematical texts in the second half of the 19th century. I will focus on Nam Byung Gil's (1820-1869) Vu Yi He (A Study of commentaries on "Tian Yuan Shu", 1855).

It is a text basically devoted to a critical evaluation of Chinese mathematician Li Rui's (1768-1817) restoration of the tradition "Tian Yuan Shu" in terms of the Western "Jie Gen Fang". Apparently based on the adaptation that Li Rui, among others, made o f the Cardano's version of Western algebra, Nam Byung Gil, who knew Chinese mathematics well, was able to react in a "meta-cognitive" manner. Specifically, he commented on commentaries. His experience of studying the discipline is very interesting and ill uminating, especially for teaching learners of introductory algebra.

Keywords: history of mathematics; HPM; Tian Yuan Shu; Jie Geng Fang

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