• 한국수학사학회지
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• 제26권4호
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• pp.213-218
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• 2013

This paper is a sequel to the paper [8], where we discussed the connection between ShiShou KaiFangFa originated from JiuZhang SuanShu and ZengCheng KaiFangFa. Investigating KaiFangShu in a Chosun mathemtics book, SanHak JeongEui and ShuLi JingYun, we show that its authors, Nam ByungGil and Lee SangHyuk clearly understood the connection and gave examples to show that the KaiFangShu in the latter is not exact. We also show that Chosun mathematicians were very much selective when they brought in Chinese mathematics.

• 한국수학사학회지
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• 제29권6호
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• pp.317-324
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• 2016

Since Jiuzhang Suanshu, mathematical structures in the traditional East Asian mathematics have been revealed by practical problems. Since then, polynomial equations are mostly the type of $p(x)=a_0$ where p(x) has no constant term and $a_0$ is a positive number. This restriction for the polynomial equations hinders the systematic development of theory of equations. Since tianyuanshu (天元術) was introduced in the 11th century, the polynomial equations took the form of p(x) = 0, but it was not universally adopted. In the mean time, East Asian mathematicians were occupied by kaifangfa so that the concept of zeros of polynomials was not materialized. We also show that Suanxue Qimeng inflicted distinct developments of the theory of equations in three countries of East Asia.

• Communications for Statistical Applications and Methods
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• 제11권1호
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• pp.31-47
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• 2004

The history of statistics from the mid-seventeenth to the early twentieth century is considered and a scheme of periodization is proposed. In the first period(1650-1750), named 'the age of probability' in this paper, concept of probability emerged, and in the second period(1750-1820), named 'the age of error theory', statistical techniques such as the least square method are developed by astronomers and geodesists. Their techniques are supported theoretically by mathematicians like Laplace and Gauss in that period. The third period(1820-1880) is called 'the age of statistics(as a plural noun)' since statistical data played prominent roles in social sciences such as sociology, psychology. Finally the last period(1880- ), called 'the age of statistics(as a singular noun)', the discipline of statistics came to maturity both in theory and application.

• Journal of applied mathematics & informatics
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• 제32권3_4호
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• pp.465-474
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• 2014

Many mathematicians have studied various relations beween Euler number $E_n$, Bernoulli number $B_n$ and Genocchi number $G_n$ (see [1-18]). They have found numerous important applications in number theory. Howard, T.Agoh, S.-H.Rim have studied Genocchi numbers, Bernoulli numbers, Euler numbers and polynomials of these numbers [1,5,9,15]. T.Kim, M.Cenkci, C.S.Ryoo, L. Jang have studied the q-extension of Euler and Genocchi numbers and polynomials [6,8,10,11,14,17]. In this paper, our aim is introducing and investigating an extension term of generalized Euler polynomials. We also obtain some identities and relations involving the Euler numbers and the Euler polynomials, the Genocchi numbers and Genocchi polynomials.

• 한국수학사학회지
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• 제29권3호
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• pp.157-172
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• 2016

Sophus Lie's research is regarded as one of the most important mathematical advancements in the $19^{th}$ century. His pioneering research in the field of differential equations resulted in an invaluable consolidation of calculus and group theory. Lie's group theory has been investigated and constantly modified by various mathematicians which resulted in a beautifully abstract yet concrete theory. However Lie's early intentions and ideas are lost in the mists of modern transfiguration. In this paper we explore Lie's early academic years and his object of studies which clarify the ground breaking ideas behind his theory.

• 한국수학사학회지
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• 제31권5호
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• pp.223-234
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• 2018

Ancient Chinese mathematics education has a long history of more than 3,000 years, and many excellent mathematicians have been fostered. However, the systematic framework for teaching mathematics should be considered to be started from the Zhou Dynasty. In this paper, we examined the educational goals, trainees(learners), providers(educators), and contents in mathematics education in the ancient Chinese Zhou Han Dynasty, Tang Dynasty and Song Dynasty.

• 한국수학사학회지
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• 제20권2호
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• pp.19-32
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• 2007

이 글의 목적은 오일러의 삶, 업적, 그리고 사상을 살펴봄으로써 그것들이 칼빈 주의적 세계관에 근거한 것임을 보이고, 오일러가 우리에게 주는 의미를 찾아보려는 것이다. 후학들이 오일러를 통해 얻을 수 있는 교훈은 수학을 이해하려 할 때 수학 이전의 철학적 토대와 역사적 배경에 대한 성찰을 간과해서는 안 되며, 특히 한 수학자를 온전히 이해하려면 그의 세계관에 주목할 필요가 있다는 것이다. 또한 의미 있는 성취를 위해서는 좋은 환경을 바라기보다는 주어진 조건과 환경을 뛰어넘는 치열한 자기 극복의 노력이 필요하다는 것이다.

• 한국수학사학회지
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• 제27권2호
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• pp.101-110
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• 2014

Joseon is mainly an agricultural country and its main source of national revenue is the farmland tax. Since the beginning of the Joseon dynasty, the assessment and taxation of agricultural land became one of the most important subjects in the national administration. Consequently, the measurement of fields, or the area of various plane figures and curved surfaces is a very much important topic for mathematical officials. Consequently Joseon mathematicians were concerned about the volumes of solids more for those of granaries than those of earthworks. The area and volume together with surveying have been main geometrical subjects in Joseon mathematics as well. In this paper we discuss the history of volumes of solids in Joseon mathematics and the influences of Chinese mathematics on the subject.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제6권2호
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• pp.55-64
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• 2002

According to changing the society rapidly in the 21s1 century, the self-regulated learning ability is considered as an ability of which people should carry on their lives. The purpose of this study was to investigate prospective elementary school teachers in mathematics teaching method class in terms of the following areas: (1) the degree of their abilities shown the lower level factors of motivated strategies for learning such as self-efficacy, intrinsic value, anxiety, cognitive strategy use, and self-regulation (2) relations between factors of motivated strategies for loaming and performance of prospective elementary school teachers The results show that the prospective elementary school teachers showed above the mean value of the motivated strategies for learning and there are positive relations among lower level factors of motivated strategies fur learning except anxiety, positive relation between motivated strategies for learning and achievement. In order to help the prospective elementary school teacher to improve their motivated strategies fur learning in their elementary mathematics teaching method lecture, several methods such as mathematical connections to real world problem, history of mathematics and interview with mathematicians and application of feller's ARCS model to elementary mathematics education are suggested.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제6권2호
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• pp.65-74
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• 2002

In this paper, inquiry-oriented mathematics instruction was suggested as a teaching method to foster mathematical creativity. And it is argued that inquiry learning assist students to explore the mathematical problem actively and thus participate in mathematical activities like mathematicians. Through inquiry activities, the students learn mathematical ideas and develop new and creative mathematical ideas. Although creativity is often viewed as being associated with exceptional ability, for mathematics teacher who want to develop students' mathematical creativity, it is productive to view mathematical creativity as a mathematical ability that can be fostered in general school education. And also, both teacher and student have to think that they can develop mathematical ideas by themselves. That is very important to foster mathematical creativity in the mathematics class.