• The Mathematical Education
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• v.38 no.2
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• pp.159-164
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• 1999

The purpose of this paper is to find role of in and logic in creative problem solving process. Intuition and logic have played an important role in creative problem solving process. Nevertheless, Intuition has been treated less importantly than logic. Therefore, I intend to review the role of intuition, and then the relationship of intuition and logic, and the role of intuition and logic in creative problem solving process. Although intuition gives an important clue in problem solving process, it may sometimes cause an error. This fact gives an idea that intuition and logic have to be harmoniously cultivated. In fact, Intuition and logic have been playing a complementary role in creative problem solving process. A creative learner is regarded as a mathematician of his age. It must be through intuition and logic that he/she solves the problem creatively, just as a mathematician invents the new mathematical fact through unconscious and conscious process. In this respective, teachers also should make every effort to cultivate intuition and logic themselves.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.1
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• pp.1-19
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• 2012

Kant defines mathematical cognition as the cognition by reason from the construction of concepts. In this paper, I inquire the meaning and the characteristics of the construction of concepts based on Kant's theory on the sensibility and the understanding. To construct a concept is to exhibit or represent the object which corresponds to the concept in pure intuition apriori. The construction of a mathematical concept includes a dynamic synthesis of the pure imagination to produce a schema of a concept rather than its image. Kant's transcendental explanation on the sensibility and the understanding can be regarded as an epistemological theory that supports the necessity of arithmetic and geometry as common core in human education. And his views on mathematical cognition implies that we should pay more attention to how to have students get deeper understanding of a mathematical concept through the construction of it beyond mere abstraction from sensible experience and how to guide students to cultivate the habit of mind to refer to given figures or symbols as schemata of mathematical concepts rather than mere images of them.

• Journal for History of Mathematics
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• v.25 no.2
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• pp.35-55
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• 2012

This article discusses and reviews the mathematics education of Herbart who had clarified the nature of the scientific education and established the systematic study of pedagogy for the first time. We are mainly investigated the "Pestalozzi's Idea of an ABC of Sense-Perception Investigated and Scientifically Carried out as a Cycle of Preliminary Exercise in the Application of Forms" that proposed intuitive geometric education that embodied his theory on education. Based on this, We discusses the educational implications-the purpose and methods of mathematics education and so on.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.22 no.3
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• pp.362-373
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• 2021

This is an action research study of mixed methodology design to confirm the implementation process and effects of applying visual thinking and window paning on improving nursing ethics and professional courses. Based on the conceptual model for action research, a quantitative and qualitative approach was taken. The data was collected and analyzed in an integrated manner. The survey analysis was done using the SPSS WIN 23.0 program. The participants were interviewed after experiencing the techniques in class and content analysis was used on the answers. As a result of applying visual thinking and window paning, ethical decision-making confidence (t=6.748, p<.001) and nursing professional intuition (t=-3.52, p<.001) showed statistically significant changes. There was, however, no significant change in biomedical ethics consciousness (t=1.291, p=.199). Qualitative analysis found that they had fresh experience, an unfamiliar but comfortable feeling, feeling of being mine, insufficient time, systematic case study approach based on theory, were able to cultivate cooperation and coordination ability through discussion and experience in various professional fields, pride, ethical responsibility consciousness and were able to apply learning content in the field. Visual thinking and window paning foster diverse competencies in nursing education and help integrative learning. Therefore, based on the results it is proposed that visual thinking and window paning are applied to the improvement of instruction in other courses to develop core nursing competency.