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http://dx.doi.org/10.14477/jhm.2019.32.6.301

Philosophical Background of East Asian Mathematics and Its Educational Implication with a Focus on GyeSaJeon  

Jung, Hae-Nam (Dept. of Math., Sungshin women's Univ.)
Publication Information
Journal for History of Mathematics / v.32, no.6, 2019 , pp. 301-313 More about this Journal
Abstract
This paper briefly examines the Book of Changes that is the philosophical background of East Asian ancient mathematics and its collection of complementary(ShíYì), and then examines the structure and contents of GyeSaJeon, which explains the basic principles of Book of Changes as one of ShíYì. GyesaJeon reveals the unique East Asian thought of dealing with numbers in the process of explaining the formation of Eight-Gwae(Bagua) and Sixty-four-Gwae based on Yin-Yang theory. It understands numbers in terms of symbols, not quantitative, and use them to represent characteristics or hierarchy of certain classes, and to explain certain principles. Based on this, the implications of using East Asian mathematics history in the mathematics classroom are discussed.
Keywords
Book of Changes; ShiYi; GyeSaJeon; JiuZang SuanShu; East Asian Mathematics Tradition;
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