• Title/Summary/Keyword: 동양수학

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Ancient Greece Mathematics and Oriental Mathematics (고대 그리스 수학과 동양 수학)

  • Kim, Jong-Myung
    • Journal for History of Mathematics
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    • v.20 no.2
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    • pp.47-58
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    • 2007
  • In this paper, we shall try to give a comparative study of mathematics developments in ancient Greece and ancient Oriental mathematics. We have found that the Oriental Mathematics. is quantitative, computational and algorithmetic, but the ancient Greece is axiomatic and deductive mathematics in character. The two region mathematics should be unified to give impetus to further development of mathematics in future times.

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Mathematical Rhymes in Oriental Mathematics and Their Didactical Implications (동양 수학에서의 구결 및 그 교수학적 함의)

  • Chang, Hye-Won
    • Journal for History of Mathematics
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    • v.19 no.4
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    • pp.13-30
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    • 2006
  • The purpose of this study is to investigate the meaning and roles of rhymes in oriental mathematics. To do this, we consider the rhymes in traditional chinese, korean, indian, arabian mathematical books and the mathematical knowledge which they implicate. And we discuss the reasons for which they were often used and the roles which they played. In addition, we suggest how to use them in teaching mathematics.

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Logic of Ancient Mathematics of East Asia : Epistemology by Xun zi, Logic by Mozi (동양 산학의 논리학 : 순자의 인식론과 묵자의 논리학)

  • Koh, Young-Mee;Ree, Sang-Wook
    • Journal for History of Mathematics
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    • v.23 no.3
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    • pp.33-44
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    • 2010
  • We investigate what kind of logic is used in the ancient East Asian mathematics from their philosophical viewpoints. Such viewpoints are the logic by Mozi and the epistemology by Xun zi. We conclude that the logic residng in the ancient East Asian mathematics is surely existent and that the logic is the mathematics itself.

A Study on The Application of Oriental History of Mathematics in School mathematics (수학 교수-학습에서의 동양 수학사 활용에 관한 연구)

  • Yang, Sung-Ho;Lee, Kyung-Eon
    • The Mathematical Education
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    • v.49 no.1
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    • pp.15-37
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    • 2010
  • In this study, we investigated the application of oriental history of mathematics in school mathematics teaching. We set up three study problems to achieve this purpose. First, we analyze the middle and high school mathematics textbooks and auxiliary books. Second, we survey the mathematics teacher's knowledge and degree of application on history of mathematics. Third, we develop the teaching and learning materials on oriental history of mathematics. We performed three study-methods to settle above study problem. First, we analyzed 24 textbooks and auxiliary books for study problem 1. There were 6 middle school mathematics textbooks and 6 auxiliary books and also 6 high school mathematics textbooks and 6 auxiliary books. We categorized the contents into "anecdote", "systematization", "application of problem", "expansibility of thought", and "comparative of the contents". Second, we surveyed the 78 mathematics teachers's knowledge and degree of application using questionnaire about knowledge and application on history of mathematics. The questionnaire was made up of four types of question; the effect of material about history of mathematics, the understanding of western history of mathematics, the understanding of oriental history of mathematics; the direction of development of teaching material. Third, we exemplified the teaching and learning materials about three categories: "anecdote", "comparative of the contents".