• Title/Summary/Keyword: Khai Fang

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Analysis on Gu-il-jip, the mathematical book of Chosun dynasty and its pedagogical applications (조선시대의 산학서 <구일집>의 내용 분석 및 교육적 활용 방안 탐구)

  • 장혜원
    • Journal of Educational Research in Mathematics
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    • v.13 no.4
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    • pp.429-446
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    • 2003
  • Gu-il-jip is a mathematical book of Chosun dynasty in the 18c. It consists of nine chapters including more than 473 problems and their solutions. Analyzing the problems and their solutions, we can appreciate the mathematical researches by the professional mathematicians of Chosun. Especially, it is worth noting the followings: - units for measuring and decimal notations - $\pi$, area of circle, volume of sphere - naming the powers - counting rods - excess and deficit: calculation technique for excess-deficit relations among quantities - rectangular arrays: calculation technique for simultaneous linear equations - 'Thien Yuan' notation: method for representing equations - 'Khai Fang': algorithm for numerical solution of quadratic, cubic and higher equations Based on these analyses, some pedagogical applications are proposed.

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