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Kaifangfa and Translation of Coordinate Axes
홍성사,홍영희,장혜원,Hong, Sung Sa,Hong, Young Hee,Chang, Hyewon The Korean Society for History of Mathematics 2014 Journal for history of mathematics Vol.27 No.6
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.