• Title/Summary/Keyword: 산술관견

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Triangles in Chosun Mathematics (조선 산학의 삼각형)

  • Chang, Hye-Won
    • Journal for History of Mathematics
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    • v.22 no.4
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    • pp.41-52
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    • 2009
  • This study investigates a mathematical subject, 'triangles' in mathematics books of Chosun Dynasty, in special Muk Sa Jib San Bub(默思集算法), Gu Il Jib(九一集), San Hak Ib Mun(算學入門), Ju Hae Su Yong(籌解需用), and San Sul Gwan Gyun(算術管見). It is likely that they apt to avoid manipulating general triangles except the right triangles and the isosceles triangles etc. Our investigation says that the progress of triangle-related contents in Chosun mathematics can fall into three stages: measurement of the triangle-shaped fields, transition from the object of measurement to the object of geometrical study, and examination of definition, properties and validation influenced by western mathematics.

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Utilizing 'Wonyongsambanghogu' in mathematics education (원용삼방호구(圓容三方互求)의 수학교육적 활용)

  • Yang, Seong Hyun
    • Journal for History of Mathematics
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    • v.27 no.5
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    • pp.313-327
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    • 2014
  • Based on the importance and the necessity of the study on history of mathematics and mathemtics education using history of mathematics for finding the cultural identity and values of our traditional mathematics, we refer to two types of teaching and learning methods utilizing 'WonYongSamBangHoGu', the second theme of 'SanSulGwanGyeon' written by Lee Sang Hyuk. First, we present various cases of 'WonYongSamBangHoGu' constructed utilizing kind of mathematics learning software, GeoGebra by high school freshmen belonging to the Education Centers for the Gifted in Seoul Science Park. Second, We modernly reinterpret the questions contained in 'WonYongSamBangHoGu' and show several developed items using it.

Generalization of 'Gakdeungbyeonhyeongseupyu' by utilizing GeoGebra (GeoGebra를 활용한 각등변형습유(各等邊形拾遺)의 일반화)

  • Yang, Seonghyun
    • Journal for History of Mathematics
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    • v.29 no.2
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    • pp.73-88
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    • 2016
  • To introduce materials related to our traditional mathematics and to reinterpret modernly them could be a good tool to find the cultural values of them. We analyzed the degree for utilization of the history of mathematics in the middle school textbooks developed depending on the 2009 revised mathematics curriculum. Through this, we suggest the need for research on concrete and practical teaching and learning materials development utilizing the history of mathematics. We reinterpret, in modern style based on the curriculum, two subjects dealt with in 'GakDeungByeonHyeongSeupYu', the first theme of 'SanSulGwanGyeon' written by Lee Sang Hyuk. We expansively reconstruct the original samples up to regular decagon so that students might figure out the situation of all regular polygon using a kind of mathematics software GeoGebra. Also this process is constructed on the basis of the curriculum for an implementation the secondary school classes.

Ki-Won Chang, The first specialist on the history of Korean mathematics (최초의 한국수학사 전문가 장기원(張起元))

  • Lee, Sang-Gu;Lee, Jae-Hwa
    • Communications of Mathematical Education
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    • v.26 no.1
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    • pp.1-13
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    • 2012
  • Ki-Won Chang(1903-1966) is considered as the first mathematician who made a contribution to the study of the history of Korean mathematics. In this paper, we introduce contributions of Ki-Won Chang, his discovery of old Korean literatures on mathematics, and his academic contribution on the history of Korean mathematics. Then we analyze and compare his conclusions on old Korean mathematics with recent works of others. This work shows some interesting discovery.