• The Mathematical Education
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• v.56 no.1
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• pp.101-118
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• 2017

In this article we study a reconstruction of mathematical knowledge on trigonometry by the method of ascent from the abstract to the concrete from the pedagogical viewpoint of dialectic. The direction of education is shifting in a way that emphasizes the active constitution of knowledge by the learning subjects from the perspective that knowledge is transferred from the teacher to the student. In mathematics education, active discussions on the construction of mathematical knowledge by learners have been going on since the late 1990s. In Korea, concepts and aspects of constructivism such as operational constructivism, radical constructivism, and social constructivism were introduced. However, examples of practical construction according to the direction of construction of mathematical knowledge are very hard to find. In this study, we discuss the direction of the actual construction of mathematical knowledge and suggest a concrete example of the actual construction of trigonometry knowledge from a constructivist point of view. In particular, we discuss the process of the construction of theoretical knowledge, the ascent from the abstract to the concrete, based on the literature study from the pedagogical viewpoint of dialectic, and show how to construct the mathematical knowledge on trigonometry by the method of ascent from the abstract to the concrete. Through this study, it is expected to introduce the new direction and new method of knowledge construction as 'the ascent from the abstract to the concrete', and to present the possibility of applying dialectic concepts to mathematics education.

• Journal of the Korean School Mathematics Society
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• v.13 no.3
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• pp.415-442
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• 2010

If the philosophy of the curriculum is changed when the curriculum is revised, discussion about knowledge viewpoints in the changed philosophy is needed. The purpose of this thesis is to analyze elementary mathematics textbooks(EMT) based on the perspective of constructivism knowledge as basic philosophy of the 7th curriculum and the 2007 revised curriculum and to present aim of textbooks development through the results. According to the results, the number and operation units of 1st and 2nd grades of EMT compiled according to the 7th curriculum and the 2007 revised curriculum didn't reflect the perspective of constructivism knowledge as the philosophy of the curriculum. From the analysis, EMT were not composed so as to agree the perspective of constructivism knowledge that emphasize concepts, conceptua1 principles, variety, integration.

• Research in Mathematical Education
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• v.19 no.2
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• pp.101-115
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• 2015

In the present paper, we argue any research concerning human knowledge construction, components, or types needs to clarify its epistemological stance regarding 'knowledge' in that such viewpoint might have much influence on the nature of knowledge the researcher sees and the way in which evidence for knowledge development is gathered. Thus, we suggest two alternative research groups who conducted their studies on mathematical knowledge for teaching with an explicit epistemological standpoint. We finalize our discussion by reviewing concrete examples in the previous literature on teacher knowledge of fraction conducted by the two groups.

• Journal of Educational Research in Mathematics
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• v.8 no.2
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• pp.553-563
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• 1998

In this thesis, I examined Bruner's EIS theory from the viewpoint of epistemology based on Piaget's genetic epistemology. Although Bruner's ideal thought which insisted ‘to teach the structure’accepted Piaget's theory in the methodology of realization, it is different from Piaget in understanding knowledge. The difference is shown from understanding the meaning of ‘structure’. Piaget's concept of structure is something that has overcome the realistic viewpoint of the traditional epistemology and is reconstructed through endless self-regulative transformational process. However Bruner's is used as a realistic meaning as we can see in the Plato's recollection theory. Therefore Piaget's ‘stage of development’means the difference of structure which lies in the generative process and it includes the qualitive difference of level. On the other hand, Bruner, who is trying to translate and suggest the fixed structure to the children understood Piaget's stage of development as the difference in the ways of representation. Piaget's operational constructivism insists that the children should ‘construct’the knowledge through their activity, and especially in case of the lohico-mathematical recognition, the source should be internalized activity, that is, operation. In view of this assertion, Burner's idea which insists to accept the structure of knowledge as a fixed reality and to suggest the translated representation proper to the cognitive structure of the children to teach them, has a danger of emphasizing only the functional aspects to deliver the given knowledge ‘quickly’. And it also has the danger of damaging ‘the nature of the knowledge’in the translated knowledge.

• Journal of Elementary Mathematics Education in Korea
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• v.3 no.1
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• pp.75-92
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• 1999

Many educators say that one of the key theory which is widely accepted teaching-learning process in the 7th mathematics curriculum is constructivism. They believe constructivism is very powerful as a background theory in teaching-learning mathematics and in this point of view, each student can construct knowledge by himself in the inner world. Therefore, the aspect of teaching-learning methods in the 7th mathematics curriculum focused on inquiry learning, self-directed learning, cooperative learning. Through this methods, the 7th mathematics text also composed of ease, interesting and dynamic activity oriented subjects. And constructive teaching-learning methods in mathematics is implemented variously by those whom attracted in constructivism. Thus, the purpose of this study is to build up a model that is required to systematize teaching-learning process in mathematics as a guideline for teachers. Another purpose of this study is to make clear that the presented model is appropriate process for teaching-learning in mathematics.

• Journal of Educational Research in Mathematics
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• v.14 no.1
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• pp.129-142
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• 2004

These days, constructivism has become a central theory in mathematics education. A essential concept in constructivism is 'construction' and the meaning of construction of mathematical knowledge is a core issue in mathematics educational field. In the basis of Dewey's epistemology, this article is trying to explicate the meaning of construction of mathematical knowledge. Dewey, Kant and Piaget coincide in construction of knowledge from the viewpoint of the interaction between mind and environment. However, unlike Dewey's concept, Kant and Piaget are still in the line of traditional realistic epistemology. Dewey's concept of construction logically implies teaching-learn learning principles. This can be named as a principle of genetic construction and a principle of progressive consciousness.

• The Journal of Korean Association of Computer Education
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• v.10 no.5
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• pp.1-9
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• 2007

Although the need for overall amendment of curriculums recognized, tentative plan for amendment is being established without improving the sense of satisfaction of the users of curriculums from the nation-wide dimension and without review on philosophical and educational psychological viewpoints on curriculum with focus on curriculums that reflects the national and social demands until the tentative plans for amendment of computer subject is made at the time of amendment. Therefore, new/old curriculums has been compared and analyzed from philosophical and psychological viewpoint of curriculums in order to definitively establish status and identity of curriculum, and to cope with changes in educational system. It can be seen from the outcome of such comparative analysis that goals of the philosophical viewpoint of amended curriculum had been defined as discipline-centered curriculum while that for the knowledge-based viewpoint on constructivism and cognitivism.

• Journal of The Korean Association For Science Education
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• v.19 no.1
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• pp.41-61
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• 1999

In this study I defined the direction Integrated Science Education(ISE) should take. So that I groped for the direction ISE should take in the inherent nature of science and education, analyzing their respective validity from philosophical and psychological angles. Based upon these researches, I formulated the three directions for ISE to take; knowledge-centered, social problem-centered, and individual interest-centered. The results of this thesis may be summed up as follows: 1. The knowledge-centered ISE that thinks the inherent nature of science is in the scientific knowledge is based upon Hirst's integrated logic which is built on discipline-centered educational viewpoint. Now, the focus of interdisciplinary integration consists in clarifying the meanings of knowledge and the logical relations between one knowledge and another according to the respective form of exploration. The knowledge-centered ISE, therefore, was analyzed to find its justification in the educational philosophy of idealism, realism, neo-scholasticism; in the educational theories of essentialism, behaviorism, perennial ism; in the scientific philosophy of empiricism. positivism; in the educational psychology of developmental psychology and constructivism. 2. The social problem-centered ISE that thinks the inherent nature of science is the process of social concord is based upon Dewey's integrated logic which is built on experience-centered educational viewpoint. Now, the focus of interdisciplinary integration consists in the methodological aspect facilitating the process of experience. The social problem-centered ISE, therefore, was analyzed to find its theoretical justification in the educational philosophy of pragmatism; in the educational theory of progressivism; in the scientific philosophy of relativism and rationalism; and in the educational psychology of developmental psychology and constructivism. 3. The individual interest-centered ISE is based upon Patterson's integrated logic which is built on human-centered educational viewpoint. The focus of education here is self-realization. Therefore, rather than provide in learning conditions from outside, one is made to choose them oneself and the process of satisfying one's motive is emphasized. The individual interest-centered ISE, therefore, was analyzed to find its theoretical justification in the educational philosophy of existentialism; in the educational theory of humanism; in the scientific philosophy of relativism; and in Gestalt psychology.

• The Korean Journal of Air & Space Law and Policy
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• v.20 no.1
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• pp.109-142
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• 2005

This paper aims to study international political orders and aviational orders since the second World War, to investigate the influences between the two orders, to connect them with the air transportation service agreement between Korea and USA, and to prospect international aviation orders in the future. The first international aviation order after the second World War is built up by international public goods under hegemonic stability theory in the realistic international order. Second order is a kind of cooperation system through the international institutions under the neo-liberalistic international order from the late of 1970s. Third order is the multiple cooperation through the shared epistemology, understanding, and knowledge under the international social constructivism from the 1990s. This paper prospects that international aviation order in the future will be developed through the multiple channels for the civilian users' conveniences and the openness for the users.

• Journal of Korean Philosophical Society
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• v.137
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• pp.151-191
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• 2016

Kant and Lacan strongly criticized the epistemological premise of formal logic. However, Lacan was opposed to Kant in terms of subject, object, knowledge and truth. From the viewpoint of Kant's transcendental logic, formal logic does not have the ability to represent the nature of truth. On the other hand, from the viewpoint of Lacan's psychoanalytic logic, Kant's transcendental logic misunderstands or only partially represents the state of things. But I would like to try to criticize the epistemological premise of the two forms of logic. Transcendental logic takes the evident and new function in that it has studied the necessary condition of content rather than the form of thinking which formal logic considers as his object of study. Transcendental logic evidently studies the categories which dominate our way of thinking. Can we say that the 12 categories which Kant provided are sufficient in explaining the necessity of thinking? Lacan's psychoanalytic logics tells us that Kant's categories are only a kind of metaphor related with hypothesis that tries to explain the possibility of synthetical judge a priori. Is Lacan's psychoanalytic logic sufficient in explaining the possibility of science? It is not sufficient in explaining the objectivity and strictness of science, for it depends on metaphor and metonymy which are useful to literature and unconsciousness. I would like to try to synthesize Kant's transcendental and Lacan's psychoanalytic logic in terms of structure-constructivism which combines both formal and dialectical logic, which is consistent with the ideal of human science, and not blinkered science. My conclusion is that Kant's ethical and esthetical theory should be modified though Lacan's psychoanalytic logic, and Lacan's theory of the unconsciousness revised by Kant's transcendental logic.