• Communications of Mathematical Education
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• v.30 no.3
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• pp.419-434
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• 2016

Ju-Seo-Gwan-Gyeon is a mathematical book of Chosun dynasty in the early 18th century. This study is to analyze and compare the contents between Ju-Seo-Gwan-Gyeon and Gu-Jang-San-Sul. From this study, we are able to see the contents of Ju-Seo-Gwan-Gyeon that has been unknown in detail so far. In this comparative study, the following facts are found. First, many problems in Ju-Seo-Gwan-Gyeon are similar to the Gu-Jang-San-Sul on the contents and frame. Most of them are same type. But some of problems in Ju-Seo-Gwan-Gyeon have been developed. Second, there are distinct differences of description type. And Ju-Seo-Gwan-Gyeon was influenced by Gu-Jang-San-Sul but also other mathematical books. We expect that the results provide basic information for mathematics history in Korea.

• East Asian mathematical journal
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• v.37 no.4
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• pp.427-441
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• 2021

Ju-Seo-Gwan-Gyeon is a mathematical book of Chosun dynasty by Jo Tae Gu. This study is to analyze his understanding for the 'Gujang' in the 'Gujang-Mundab'. From this study, we were able to see the contents of 'Gujang-Mundab' that has been unknown in detail so far. In this study, the following facts are found. Most parts of 'Gujang' in 'Gujang-Mundab' was explained the same as Gu-Jang-San-Sul. This indicates that Ju-Seo-Gwan-Gyeon was influenced by Gu-Jang-San-Sul. However, Ju-Seo-Gwan-Gyeon also contains what he wrote with his own understanding. We expect that the results provide basic information for mathematics history in Korea.

• Journal for History of Mathematics
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• v.16 no.1
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• pp.9-16
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• 2003

This paper aims to investigate how Chinese and Korean evaluate $\pi$ and measure tile area of circle by reviewing the problems in the old mathematical books. The books are Gu-Jang-San-Sul(The nine chapters on tile mathematical art) for China and Gu-Il-Jib for Chosun Dynasty. The result shows that our ancestors used the different values of ${\pi}$ in relation to the accuracy and the various methods for measuring the area of circle.

• Journal for History of Mathematics
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• v.15 no.2
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• pp.101-112
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• 2002

Gu-Jang-San-Sul is a book of Chinese ancient mathematics and has had an impact on Korean mathematics. The book is organized into nine chapters and each chapter is composed of problems, answers, and their computation algorithms. The contents reflect the practicality of Chinese mathematics. Especially the first chapter covers the computation of fractions for land surveying. This paper suggests how the computation methodology is used in teaching fractions for primary school students. Five strategies for fractions related to the reduction, addition, subtraction, multiplication, and division are followed by: 1) developing the ability to apply rules to problems by practicing the computation process according to the given algorithm; 2) developing the communication skill by comparing the differences of various computation algorithms; 3) setting computation problems; 4) understanding the characteristics of terminology in mathematics; and 5) being exposed to new ideas in mathematics.