• East Asian mathematical journal
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• v.32 no.2
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• pp.175-192
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• 2016

This study aimed to understand the needs of changes in the teaching-learning environment in the university and to develop the liberal art subject of mathematics. The changes of mathematical belief in the university students were investigated to understand how the liberal art subject of mathematics affected them related to mathematics. Upon the study results, the significant changes were occurred from the utility factor on the subject of mathematics in mathematical belief, the importance factor of the answers in the teaching-learning belief, teaching activity factor of the teachers, and inborn capability factor in the belief on the self-concept. The meaningful learning environment and teaching method for the liberal art subject of mathematics are suggested further by these results.

• Journal for History of Mathematics
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• v.33 no.2
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• pp.115-132
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• 2020

Social awareness of mathematics and academic attitudes toward the value of mathematics education has kept changing according to the intellectual, political and religious contexts. In this article, we examine how mathematics was defined and recognized in liberal arts education of the Roman Empire and early medieval Western Europe. This study analyzes how mathematics was described in encyclopedic works written in the Roman era after the mid-second century BC and in the Western European monasteries and cathedral schools after the fifth century. Ancient Greek mathematics took a clear place in liberal arts education through encyclopedia writings and prepared a mathematics curriculum for medieval universities. I hope this study will contribute to understanding the origin and context of the mathematics curriculum of medieval universities.

• Communications of Mathematical Education
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• v.23 no.4
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• pp.999-1014
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• 2009

In this paper, we made an investigation into the awareness of mathematics by college students, they took a course in mathematics as the liberal arts. Mathematics as the liberal arts is divided into 2 types: mathematics focused on calculus or statistics, and living mathematics except them. We researched mathematics as the liberal arts on a curriculum in several universities and analyzed them. From these results, we suggest the improvement of mathematics as the liberal arts in university.

• Journal of applied mathematics & informatics
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• v.39 no.1_2
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• pp.105-116
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• 2021

Information systems and decision rules with imprecision and uncertainty in data analysis are studied in complete residuated lattices. In this paper, we introduce the notions of distance spaces, Alexandrov pretopology (precotopology) and join-meet (meet-join) operators in complete co-residuated lattices. We investigate their relations and properties. Moreover, we give their examples.

• Journal of the Korean School Mathematics Society
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• v.20 no.4
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• pp.423-443
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• 2017

In this paper, In this paper, we study the recognition of undergraduate students and professors about the relation between mathematics learning contents of high school liberal arts course and major fields of college of business administration. We chose 155 undergraduate students and 6 professors at college of business administration in M university and investigate their recognition about the relation between mathematics learning contents of high school liberal arts course and major fields of college of business administration. We found following facts. First, mathematics education in high school should be based on understanding of mathematical conceptions and principles rather than problem-solving skills to intensifying the relation between mathematics of high school liberal arts course and major fields of college of business administration. Second, we have impressed upon them, whom are going to college of business administration, the need for more mathematics to study a major field.

• Journal of applied mathematics & informatics
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• v.26 no.5_6
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• pp.1161-1168
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• 2008

We prove a theorem that there exists at least a solution reaching the prescribed target in autonomous differential inclusion. A weak invariance theorem is obtained from this theorem as its corollary. To deduce the conclusion, we assume that the target satisfies inward pointing condition. This condition will be given by proximal normal cone.

• Communications of Mathematical Education
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• v.19 no.4 s.24
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• pp.633-647
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• 2005

The rapid change in school mathematics curricula occurred over last some periods requires lots of change or improvement in the education method for the university mathematics, especially in calculus. As an effort in this direction we restrict our concern to the freshmen of year 2002 of the Korea university of technology and education to investigate a correlation between their mathematics score on the national entrance examination and achievement score measured by their final grades in a calculus course. As a result of this research we propose a step-wise level educational model for the calculus education. In the model an appropriate teaching contents and method proceeding through the three steps are suggested and implementation issues are discussed. We believe that carrying out mathematics curricular are suggested in the model will be of service to calculus education particularly for student under the 7th national curriculum reform.

• Journal of applied mathematics & informatics
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• v.7 no.1
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• pp.125-137
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• 2000

A solution of the findpath problem in which a moving object in required to avoid moving obstacles and move to the designated target in the plane is porcided via the second method of Lyapunov. This paper presents an new control designed by a family of piecewise Lyapunov functions to solve a findpath problem and gives some simultion results of that.

• Journal of applied mathematics & informatics
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• v.16 no.1_2
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• pp.515-524
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• 2004

We prove the local existence of solution for nonconvex-valued differential inclusion under time-varying state constraints.

• Journal of Educational Research in Mathematics
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• v.10 no.1
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• pp.115-137
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• 2000

In this paper, we tried to analyze 7 textbooks for liberal mathematics in elementary teacher's colleges in Korea and 3 foreign textbooks (2 American textbooks and 1 Japan textbook) which are believed to be used for pre-service education. We tried also to analyze in 3 lesson plans in homepages of Japan teacher's colleges. Next we tried to grope for syllabus of Mathematics for Elementary Teachers, and we suggested one syllabus. But we think that syllabus as a tentative one. So, it must be criticized by other researchers to be better one.