Kaifangfa and Translation of Coordinate Axes

다국어 초록 (Multilingual Abstract)

Since ancient civilization, solving equations has become one of the most important subjects in mathematics and mathematics education. The extractions of square roots and cube roots were first dealt in Jiuzhang Suanshu in the setting of subdivisions. Extending these, Shisuo Kaifangfa and Zengcheng Kaifangfa were introduced in the 11th century and the subsequent development became one of the most important contributions to mathematics in the East Asian mathematics. The translation of coordinate axes plays an important role in school mathematics. Connecting the translation and Kaifangfa, we find strong didactical implications for improving students' understanding the history of Kaifangfa together with the translation itself although the latter is irrelevant to the former's historical development.

참고문헌 (Reference)

1 홍성사, "飜積과 益積의 歷史" 한국수학사학회 18 (18): 39-54, 2005

2 小川束, "建部賢弘の數學" 共立出版 2008

3 關孝和, "大成算經" 東北大學圖書館 1711

4 羅士琳, "四元玉鑑細艸" 臺灣商務印書館 1967

5 홍성사, "劉益과 洪正夏의 開方術" 한국수학사학회 24 (24): 1-13, 2011

6 洪正夏, "九一集" 서울大學校圖書館 1724

7 Guo ShuChun, "ZhongGuo Kexue Jishu Dianji Tonghui Shuxuejuan" Henan Jiaoyu Pub. Co. 1993

8 Hong Sung Sa, "Theory of Equations in the history of Chosun Mathematics" 719-731, 2012

9 홍성사, "KaiFangShu in SanHak JeongEui" 한국수학사학회 26 (26): 213-218, 2013

10 홍성사, "Hong JeongHa’s Tianyuanshu and Zhengcheng Kaifangfa" 한국수학사학회 27 (27): 155-164, 2014