• The Mathematical Education
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• v.10 no.1
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• pp.6-8
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• 1972

Metacompact인 부분 집합들을 5가지 형으로 분류하여 $\beta$-metacompact인 집합과 그 집합에 관하여 폐집합인 집합들과의 관계를 규명하였고, 위상공간의 임의의 부분집합의 Point finite filter를 정의하여 이 filter가 limit point를 갖는 조건과 이 집합이 $\beta$-metacompact인 조건과를 비교하였다. 다음에 5가지형의 metacompact들 사이의 관계를 조사하여 다음과 같은 관계를 얻었다. (1) $\beta$-metacompact ($\beta$-countably metacompact)인 부분집합의 내점들의 폐 부분집합은 $\alpha$-metacompact ($\alpha$-countably metacompact) 이다. (2) $\sigma$-metacompact of 이고, $\alpha$-countably metacompact인 부분집합은 $\alpha$-metacompact이다.

• Journal of Digital Convergence
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• v.9 no.6
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• pp.343-354
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• 2011

The interactions between a professor and students are very important in humanities classes A professor could not exchange opinions with students especially in large-scale classes. We have developed a smart phone app. in order to overcome the lirnit of interaction between a professor and students in large-scale classes. The app we have developed in this paper have exploited smart phone's data processing and wireless communication ability. In this paper, we showed that smart phone could be an useful tool for increasing the education effect of large-scale classes.

• Journal of vocational education research
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• v.37 no.5
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• pp.25-53
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• 2018

The purpose of this study is to find out the improvement plan through the satisfaction survey of the trainees involved in vocational training fraud preventive education. In order to do this, we conducted a satisfaction survey(4,263 persons) of 5,939 people who participated in the prevention education conducted by group education or e-learning in 2017. Finally we collected 4,237 effective responses data. Descriptive statistics and the regression analysis were conducted. The finding of the study were as follows. First, the education service quality(4.42), satisfaction level(4.44), understanding level(4.44) and help level(4.45) were significantly higher than those of participants in the preventive education 4 and above. Second, e-learning participants' perceived level of education service quality, satisfaction, comprehension, and help was higher in all variables than collective education's. Third, all of the sub-factors of preventive education service quality influenced satisfaction, understanding, and help in collective education and e-learning, respectively. In the collective education, the contents of education had the greatest influence, and in e-learning, the data composition had the greatest influence. Fourth, desirable education contents were cases of fraud training(70.7%), disposition regulations(47.9%), NCS course operation instructions(32.8%) and training management best practices(32.4%). Additional requirements also included the establishment of an in-depth course, the provision of anti-fraud education content for trainees, and screen switching and system stability that can be focused on e-learning. Therefore, this study suggests that first, it is necessary to activate e-learning for prevention education more, reflecting satisfaction of e-learning is higher than that of collective education. Second, it is necessary to diversify the content of preventive education and to provide it more abundantly, because it has the biggest influence in common with the satisfaction, understanding and help level of the preventive education. Third, education content next, the factors that have a relatively big influence on satisfaction are shown as delivery method and education place in the collective education. Therefore, it is necessary to prepare education place considering the assignment of instructor and convenience. Fourth, constructing data next, the factor that have a relatively great influence on understanding and help are found to be operator support, and more active operator support activities are required in e-learning. Fifth, it is required to delivery prevention activity for trainees participating in vocational training. Sixth, it is necessary to analyze the educational need to construct the contents of preventive education more systematically.

• KSCI Review
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• v.15 no.1
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• pp.111-116
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• 2007

본 연구는 전자교육(e-Learning)과 집합교육의 장단점을 상호보완하는 교육형태인 블렌디드 학습(blended learning)이 고등학교 전자계산의 학습성취에 미치는 효과성을 검증하는데 목적이 있다. 이 목적을 달성하고자, 블렌디드 학습모형을 도출하고 이를 토대로 온라인 학습환경을 구축하고, 경기도내 C고등학생 136명을 대상으로 실험집단(68명)과 비교집단(68명)을 구성했다. 두 집단을 대상으로 블렌디드 학습(실험집단)과 전통식 면대면 교실학습(비교집단)을 실시한 결과, 블렌디드 학습에서의 학업성취도가 전통적인 면대면 집합학습보다 더 높은 것으로 나타났다(t=-3.16, p=.0019). 이러한 결과는 블렌디드 학습이 전자계산 학습의 효과성에 긍정적인 결과를 가져다 줄 가능성을 보여 준 것으로, 블렌디드 학습이 기존 전자교육의 단점을 보완해 주는 대안적인 교수 학습방법으로 사용될 수 있음을 시사해 준다.

• Communications of Mathematical Education
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• v.15
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• pp.249-254
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• 2003

• Monthly Duck's Village
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• s.245
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• pp.35-36
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• 2023

• Communications of Mathematical Education
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• v.35 no.4
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• pp.413-423
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• 2021

This study investigated the empty set which is one of the mathematical objects. We inquired some misconceptions about empty set and the background of imposing empty set. Also we studied historical background of the introduction of empty set and the axiomatic system of Set theory. We investigated the nature of mathematical object through studying empty set, pure conceptual entity. In this study we study about the existence of empty set by investigating Alian Badiou's ontology known as based on the axiomatic set theory. we attempted to explain the relation between simultaneous equations and sets. Thus we pondered the meaning of the existence of empty set. Finally we commented about the thoughts of sets from a different standpoint and presented the meaning of axiomatic and philosophical aspect of mathematics.

• School Mathematics
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• v.8 no.2
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• pp.177-213
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• 2006

It is well known that the set theory is very fundamental and important in modern mathematics. So, the middle school mathematics begins with section 'Sets' which is introduced from the 2nd curriculum change. Therefore, it is natural to arrange the set theory at the beginning of middle school mathematics curriculum. But most of text-books develop the set theory section very rigorously and tightly under less considering the student's language level. The purpose of this study is to have effective learning of set theory section for every middle school students, we analysis the definitions and writing contents of section 'Sets' in each textbooks as a linguistic viewpoint, and investigate its further uses in each textbooks.

• School Mathematics
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• v.19 no.4
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• pp.691-712
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• 2017

It is an important to develop teachers' statistical reasoning or thinking by teacher education. In this study, the "comparing two data sets" tasks is focused as a way to develop pre-service elementary teachers' reasoning about core ideas of statistics such as distribution, variability, center, and spread. 6 teams of each 4 pre-service elementary teachers participated on the tasks and their presentations are analyzed based on Pfannkuch's (2006) teachers' inference model in comparing two data sets. As a result, they paid attention to the distribution and variability in the statistical problem solving by the "comparing two data sets" tasks, and used their contextual knowledge to make a statistical decision. In addition, they used some statistics and graphs as the reference for statistical communication, which is expected to provide implications for improving statistical education. The finding implies that the "comparing two data sets" tasks can be used to develop statistical reasoning of pre-service elementary teachers. Some recommendations are suggested for teacher education by these tasks.

• Communications of Mathematical Education
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• v.18 no.1 s.18
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• pp.239-248
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• 2004

본 논문에서는 맨델브로트(Mandelbrot) 집합의 개념을 3차의 복소 다항식 z^3$+c 에 확장시켜 3차 분기집합을 정의하고, 이 집합의 2-주기 성분의 경계선 방정식과 관련 기하학적 성질을 고등학교 및 대학에서 다루는 미적분학 관점에서 분석하고자 한다. 복소수, 삼각함수, 매개함수, 함수의 극값, 미분 및 적분 등의 기초 이론을 활용하여 2-주기 성분의 경계선 방정식을 매개함수로 표시하고, 경계선의 내부 면적, 둘레 길이, 무게중심 등을 이론적으로 기술한다. 수학 소프트웨어인 매스매티카(Mathematica)를 활용하여 2-주기성분의 작도 및 기하학적 성질에 관한 수치 해석적 결과를 제시하고자 한다.