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http://dx.doi.org/10.14477/jhm.2014.27.6.387

Kaifangfa and Translation of Coordinate Axes  

Hong, Sung Sa (Dept. of Math., Sogang Univ.)
Hong, Young Hee (Dept. of Math., Sookmyung Women's Univ.)
Chang, Hyewon (Dept. of Math. Education, Seoul National Univ. of Education)
Publication Information
Journal for History of Mathematics / v.27, no.6, 2014 , pp. 387-394 More about this Journal
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.
Keywords
Shisuo Kaifangfa; Zengcheng Kaifangfa; Translation of coordinate axes; Fanji; Yiji;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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