Kaifangfa and Translation of Coordinate Axes
0
조회
0
다운로드
1
인용
0
참고문헌
키워드
초록
Since ancient civilization, solving equations has become one of the most importantsubjects in mathematics and mathematics education. The extractions of squareroots and cube roots were first dealt in Jiuzhang Suanshu in the setting of subdivisions. Extending these, Shisuo Kaifangfa and Zengcheng Kaifangfa were introducedin the 11th century and the subsequent development became one of themost important contributions to mathematics in the East Asian mathematics. Thetranslation of coordinate axes plays an important role in school mathematics. Connectingthe translation and Kaifangfa, we find strong didactical implications forimproving students’ understanding the history of Kaifangfa together with the translationitself although the latter is irrelevant to the former’s historical development.
Abstract
Since ancient civilization, solving equations has become one of the most importantsubjects in mathematics and mathematics education. The extractions of squareroots and cube roots were first dealt in Jiuzhang Suanshu in the setting of subdivisions. Extending these, Shisuo Kaifangfa and Zengcheng Kaifangfa were introducedin the 11th century and the subsequent development became one of themost important contributions to mathematics in the East Asian mathematics. Thetranslation of coordinate axes plays an important role in school mathematics. Connectingthe translation and Kaifangfa, we find strong didactical implications forimproving students’ understanding the history of Kaifangfa together with the translationitself although the latter is irrelevant to the former’s historical development.
참고문헌 (10)
- Guo ShuChun, "ZhongGuo Kexue Jishu Dianji Tonghui Shuxuejuan" (1993), Henan Jiaoyu Pub. Co.
- 洪正夏, "九一集", 서울大學校圖書館
- Hong Sung Sa, "Theory of Equations in the history of Chosun Mathematics", Proceeding Book 2, The HPM Satellite Meeting of ICME-12, pp.719~731 (2012)
- 홍성사, "飜積과 益積의 歷史", 한국수학사학회지, 18(3), pp.39~54 (2005), 한국수학사학회
- 홍성사, "劉益과 洪正夏의 開方術", 한국수학사학회지, 24(1), pp.1~13 (2011), 한국수학사학회
- 홍성사, "Hong JeongHa’s Tianyuanshu and Zhengcheng Kaifangfa", 한국수학사학회지, 27(3), pp.155~164 (2014), 한국수학사학회[DOI]
- 홍성사, "KaiFangShu in SanHak JeongEui", 한국수학사학회지, 26(4), pp.213~218 (2013), 한국수학사학회
- 羅士琳, "四元玉鑑細艸" (1967), 臺灣商務印書館
- 小川束, "建部賢弘の數學" (2008), 共立出版
- 關孝和, "大成算經", 東北大學圖書館
