• Bulletin of the Korean Mathematical Society
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• v.48 no.1
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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.

• Archives of design research
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• v.20 no.2 s.70
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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.

• The Journal of Sustainable Design and Educational Environment Research
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• v.11 no.3
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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.

• The Journal of Korean Philosophical History
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• no.50
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• pp.113-138
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• 2016

The purpose of this research is to establish the foundation for understanding the appearance of development, inheritance and acceptance of Toegye Yi Hwang(退溪李滉, 1501~1570)'s theory after his life by examining Udam Jeong Sihan(愚潭 丁時翰, 1625~1707)'s view on the Ido-seol(理到說), the Toegye's latter theory. After Toegye, Ido-seol was translated as 'The principle of matters reaches the human mind'. Galam Yi Hyunil(葛庵 李玄逸, 1627~1704), the contemporary scholar with Udam, criticized this translation for applying the directivity and motility to 'Li', the immovable principle. However, Udam agreed with the conventional interpretation of Ido-seol and understood it as the consilience of mind which got the entire principle(體) of 'Li(理)' and contained the application(用) of all things. He extended this concept as the level of 'sameness between objects and self [物我爲一]' based on his former theory, the exquisite interpretation of 'application of Li'. The meaning of 'sameness between objects and self[物我爲一]' is not amalgamation but applepie order of matter's principle in mind. The Udam's viewpoint is differ from Galam who tried to overcome the structural limit of Ido-seol by transforming 'Do(到)', the predicate of 'Ido(理到)', into 'Jin(盡)'. It means that he tried to interpret 'Ido(理到)' on the more essential aspect. His view can be the useful tool for understanding the Toegye's neo-Confucianism system with 'Li(理)' as central figure. It suggested that Udam's theory of the principle and the applecation of 'Li' can be the important theory to investigate the formation of Toegye schools' though and its development.