• 대한수학회보
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• 제48권1호
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• pp.67-77
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• 2011

Let M be a compact orientable closed 3-manifold, and F a non-separating incompressible closed surface in M. Let M' = M - ${\eta}(F)$, where ${\eta}(F)$ is an open regular neighborhood of F in M. In the paper, we give a lower bound of genus of self-amalgamation of minimal Heegaard splitting $V'\;{\cup}_{S'}\;W'$ of M' under some conditions on the distance of the Heegaard splitting.

• 디자인학연구
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• 제20권2호
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• pp.103-116
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• 2007

Art education in design has repeatedly stressed the importance of developing creativity. In the digital period, however, which shows rapid change in both forms and contents, it needs to be equipped with more flexible and systematic ways of approaching to the creativity development, especially involved with cultural diversity of the digital world. This paper primarily proposes a maximally efficient, productive creativity learning program in which the integration of expressive media and communication generates a comprehensive network of communicative information in the development of digital technologies, which, consequently, brings forth valuable cultural contents of art. The amalgamation of Won (2006)'s Prism Effect, with distinctive three devices, and the facilitator factors, with two different facilitators such as self-controlled and controlled plays, would function as a catalyst for cultural diversity in the digital forms and contents of art. And this will, consequently, result in producing a number of practices that can be classified and assorted for a later performance. This paper thus suggests a roadmap of how to develop the creativity learning program in which two categories of facilitators based on three thinking devices function to classify four activities. In addition, selected activities are shaped as a creativity learning program by generating learning practices with the formalizing instructional strategy that fit into a specialized educational environment and learners. The samples of loaming practice design show guidelines for practice and the results of learning activity. Therefore, the eventual goal of this paper would be to establish a creativity learning program that constitutes a highly systematized and modularized database to maximize the efficiency and productivity of the creativity development.

• 교육녹색환경연구
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• 제11권3호
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• pp.1-12
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• 2012

This study identifies the ways of utilizing abolition schools and the problems possibly caused by amalgamating small schools in agricultural, mountain and fishing villages. This study aims to find ways to collaborate with the communities based on the characteristics of the districts where schools might be abolished, which can contribute to the development of the society. Following results are integrated by the theoretical framework, social and educational necessities, and analysis of the current situation about the utilization of abolition schools. First, alternative schools, characterized schools, specialized high school can be established as the result of abolition schools that are caused by lack of people in the city. Second, since it is easy for people to access to the agricultural, mountain, and fishing villages near cities, abolition schools in these areas can be used as experience facilities or training places for students and teachers. Third, in case of the abolition candidate schools in the agricultural, mountain, and fishing villages in the districts, students and village people can use the schools for education and social purposes. Fourth, when abolition schools are independently located from the agricultural, mountain, and fishing villages, they can be used as self-service places or local peoples' places for business.

• 한국철학논집
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• 제50호
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• pp.113-138
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• 2016

본 연구는 퇴계 이황(退溪 李滉, 1501~1570)의 만년 학설인 이도설(理到說)에 대한 우담 정시한(愚潭 丁時翰, 1625~1707)의 견해를 살펴봄으로써 퇴계 이도설에 대한 후대 학자들의 수용과 계승 및 발전의 양상을 이해하는 토대를 마련하는 데 그 목적이 있다. 퇴계 이후 이도설은 '물리도심(物理到心)'으로 이해되었고, 갈암 이현일(葛庵 李玄逸, 1627~1704)은 이를 무위의 본체인 '리(理)'에 '저기서부터 여기로 이른다'는 방향성과 운동성을 부여하였다고 비판하였다. 반면 우담은 '물리도심'을 긍정하였고, 이를 '리'의 온전한 체(體)를 부여받아 만물의 용(用)을 아울러 갖춘 '심(心)'이 만물을 통섭하는 것으로 이해하였다. 그는 기존에 구축한 '리의 용(用)'에 대한 정치한 해석에 기반하여 '이도(理到)'를 '물아위일(物我爲一)'로 확장하였다. 이때의 '물아위일'은 단순한 융회관통의 차원이 아닌 '물리'가 질서정연해져 '심' 속에 누가 되지 않는 경지가 된다. 우담의 견해는 '이도(理到)'의 서술어에 해당하는 '도(到)' 자체에 대한 문제점을 극복하고자 이를 '진(盡)'으로 대체하여 이도설이 가지고 있는 구조적 한계를 극복하려 한 갈암과는 그 양상이 사뭇 다르다. 우담은 보다 본체론적인 측면에서 해석을 시도한 것이다. 우담의 견해는 퇴계가 구축한 '리' 중심의 성리학 체계를 이해하는 데 있어 하나의 유용한 틀이 될 수 있다. 이는 우담의 리체용론이 퇴계학파의 사상 형성과 그 양상을 확인하는 데 중요한 이론으로 작용할 수 있다는 점을 시사한다.