• Journal of Educational Research in Mathematics
• /
• v.24 no.3
• /
• pp.409-428
• /
• 2014

The purpose of this study is to examine the features of the curriculum of Chosun-Sanhak(朝鮮算學), the mathematics of Chosun Dynasty in the 17th to 18th century. The results of this study are as follows. First, the goal of education, teaching-learning method and assessment of Chosun-Sanhak in the 17th to 18th century had not changed since the 15th century. Second, the changes in the field of the organization of mathematical contents were observed. Chosun-Sanhak in that time was higher in the hierarchy than in the 15th to 16th century. The share of the equation and geometry had increased and various topics of mathematics had been studied as well. Third, in the field of the characteristics of mathematical contents, the influx of European mathematics and the uniqueness of Chosun-Sanhak had been observed. In conclusion, The 17th to 18th century was the time when Chosun-Sanhak had pursued the identity escaping from the effects of Chinese-Sanhak.

• Journal of Educational Research in Mathematics
• /
• v.27 no.4
• /
• pp.811-831
• /
• 2017

The purpose of this study is to analyze the contents of pi of Chosun-sanhak and organize the teaching and learning activities to help to understand the concept of pi deeply using the analysis results. The results of this study are as follows. First, Chosun-sanhak used various approximate values of pi and those were represented as the form to reveal the meaning of the ratio of radius and circumference. Second, There were the freedom of selection of the approximate values of pi suitably. Lastly, the enriched leaning about pi need to draw a distinction pi from approximate values of pi, choose the suitable approximate values of pi and compare the method of calculation of circumference and the area of circle of Chosun-sanhak and today's mathematics. In conclusion, I proposed several issues which is worth exploring further in relation to pi and Chosun-Sanhak.

• The Mathematical Education
• /
• v.49 no.2
• /
• pp.259-265
• /
• 2010

Even though Sanhak has a long history, it has disappeared from the stage of modern mathematics. What happened to Sanhak? This article tries to answer the question. In fact, the authors argue that the oriental perception toward to infinity has played an important role in such situation. The authors claim that actual infinity and virtual infinity have resulted in quite different types of mathematics, respectively.

• Journal for History of Mathematics
• /
• v.34 no.5
• /
• pp.165-191
• /
• 2021

The simple simultaneous linear congruence equation solution in 《Sunzi Suanjing孫子算經》 has developed into a systematic general solution in 《Shuxue Jiuzhang數書九章》. The most important parts of it is the creation of the Dayan Qiuyishu大衍求一術. The reason why 《Sanhak Jeongeui算學正義》 deals with the Dayanshu大衍術 which has lost its practicality in the calculation of astronomical calendar, is that one of the best achievement of traditional mathematics cannot be omitted. It is written with an emphasis on the disclosure of the calculation principle. It shows that Nam Byeong-gil南秉吉 and Lee Sang-hyeok李尙爀 had a fairly structural understanding of the Dayan Qiuyishu.

• Journal of the Korean School Mathematics Society
• /
• v.23 no.1
• /
• pp.25-44
• /
• 2020

This study investigated the representation and algorithms of western mathematics reflected on the algebra domains of Chosun-Sanhak in the 18th century. I also analyzed the co-occurrences and replacement phenomenon between western algorithms and traditional algorithms. For this purpose, I analyzed nine Chosun mathematics books in the 18th century, including Gusuryak and Gosasibijip. The results of this study are as follows. First, I identified the process of changing to a calculation by writing of western mathematics, from traditional four arithmetical operations using Sandae and the formalized explanation for the proportional concept and proportional expression. Second, I observed the gradual formalization of mathematical representation of the solution for a simultaneous linear equation. Lastly, I identified the change of the solution for square root from traditional Gaebangsul and Jeungseunggaebangbeop to a calculation by the writing of western mathematics.

• The Mathematical Education
• /
• v.61 no.1
• /
• pp.47-62
• /
• 2022

This study investigated the contents related to the plane figures in the geometry domains of Joseon-Sanhak in the late 18th century and focused on changes in explanations and calculation methods related to plane figures, the rigor of mathematical logic in the problem-solving process, and the newly emerged mathematical topics. For this purpose, We analyzed , and written in the late 18th century and and written in the previous period. The results of this study are as follows. First, an explanation that pays attention to the figures as an object of inquiry, not as a measurement object, and a case of additional presentation or replacing the existing solution method was found. Second, descriptions of the validity of calculations in some problems, explanations through diagrams with figure diagrams, clear perceptions of approximations and explanations of more precise approximation were representative examples of pursuing the rigor of mathematical logic. Lastly, the new geometric domain theme in the late 18th century was Palsun corresponding to today's trigonometric functions and example of extending the relationship between the components of the triangle to a general triangle. Joseon-Sanhak cases in the late 18th century are the meaningful materials which explain the gradual acceptance of the theoretical and argumentative style of Western mathematics

• Journal of the Korea Safety Management & Science
• /
• v.10 no.4
• /
• pp.259-265
• /
• 2008

Domestic industry has a long history, but it has been suffering for a long time due to its poor competitiveness in management ability, supply of materials, technological development, sales marketing, and distribution networks. Moreover, the industry has not established its strong presence in the world market but is exposed to increasingly greater agonies because of inactive domestic demands, increase rate of import versus export, diversified government policies, and non-selective introduction of high-quality and low-priced foreign named brands of ceramics into the country. Theses factors have partly contributed to consumers' low or negative recognition.

• School Mathematics
• /
• v.17 no.2
• /
• pp.179-202
• /
• 2015

In this research, I explored how to apply the history of mathematics in teacher education and investigated the applicability of Chosun Sanhak (mathematics of Chosun Dynasty) as the program that enriched the mathematical knowledge for teaching of prospective elementary school teachers. This program included not only mathematical knowledge but also socio-cultural knowledge and connection knowledge. Prospective teachers participated in various mathematical activities such as explaining, reasoning and problem solving in this program. The effects of this program are as follows. Prospective teachers learned the subject matter knowledge(SMK) which was helpful in teaching basic concepts and skills of elementary mathematics. Next, this program produced the pedagogical content knowledge(PCK) to prospective teachers by giving ideas how to teach.

• Proceedings of the Korean Society for Quality Management Conference
• /
• 2004.04a
• /
• pp.556-563
• /
• 2004

For the activation of the Sanhakyeon Consortium, the role of local universities is critical. It is necessary for the university professionals to bring forth detailed alternative plans to upgrade the technological power of the inferior local small & medium enterprises. This means that the local self-governing bodies must database local universities and professional personnel. As a result, the professionals that are needed by enterprises must be designated to those businesses. Also, the regional small and medium enterprises must develop research personnel to enhance their power of technology. To make this possible, the participating companies of Sanhakyeon Consortium should support the students who are participating in the Consortium with research funds, and also should consider how these students can work for those companies after graduation. Finally, the local self-governing bodies must support Sanhak's cooperative research on locally specialized Industries, by forming a technology-human power network between local universities and small Sl medium enterprises.

• The Journal of Engineering Geology
• /
• v.22 no.3
• /
• pp.331-341
• /
• 2012

Granitoid rocks are generally high-quality rock from a geotechnical perspective, because they rarely contain systematic joints or fragmented fault zones. Although the rock type at the Sanhak site is granite, a collapsed slope has a deep soil layer and shows no residual structures such as discontinuities or faults; surface avalanches from this slope can be observed in several places. To study the stability of this slope, we investigated rainfall duration, variation in pore-water pressure, and the factor of safety considering three cases (current cross-section, initial planning cross-section, revised planning cross-section). With increasing duration of rainfall, the groundwater level rises, up to 20 m in height from ground surface. In the initial planning cross-section, safety was secure for rainfall of 2 days duration, but inadequate for rainfall of 4 days duration. In the revised planning cross-section, however, safety factors were secure for rainfall of 4 days duration. Therefore, to ensure permanent stability at the Sanhak site, a slope degree of 1:1.8 should be maintained during cutting.