• Journal of Educational Research in Mathematics
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• v.12 no.3
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• pp.409-424
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• 2002

The historico-genetic principle has been advocated continuously, as an alternative one to the traditional deductive method of teaching and learning mathematics, by Clairaut, Cajori, Smith, Klein, Poincar$\'{e}$, La Cour, Branford, Toeplitz, etc. since 18C. And recently we could find various studies in relation to the historico-genetic principle. Lakatos', Freudenthal's, and Brousseau's are representative in them. But they are different from the previous historico- genetic principle in many aspects. In this study, the previous historico- genetic principle is called as classical historico- genetic principle and the other one as modern historico-genetic principle. This study shows that the differences between them arise from the historical views of mathematics and the development of the theories of mathematics education. Dewey thinks that education is a constant reconstruction of experience. This study shows the historico-genetic principle could us embody the Dewey's psycological method. Bruner's discipline-centered curriculum based on Piaget's genetic epistemology insists on teaching mathematics in the reverse order of historical genesis. This study shows the real understaning the structure of knowledge could not neglect the connection with histogenesis of them. This study shows the historico-genetic principle could help us realize Bruner's point of view on the teaching of the structure of mathematical knowledge. In this study, on the basis of the examination of the development of the historico-genetic principle, we try to stipulate the principle more clearly, and we also try to present teaching unit for the logarithm according to the historico- genetic principle.

• Bulletin of the Korean Mathematical Society
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• v.49 no.6
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• pp.1241-1250
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• 2012

We prove the maximum principle and the comparison principle of $p$-harmonic functions via $p$-harmonic boundary of graphs. By applying the comparison principle, we also prove the solvability of the boundary value problem of $p$-harmonic functions via $p$-harmonic boundary of graphs.

• Journal for History of Mathematics
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• v.17 no.1
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• pp.43-52
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• 2004

In this paper we investigate the origin of the variational calculus with respect to the extremal principle. We also study the role the extremal principle has played in the development of the calculus of variations. We deal with Dido's isoperimetric problem, Maupertius's least action principle, brachistochrone problem, geodesics, Johann Bernoulli's principle of virtual work, Plateau's minimal surface and Dirichlet principle.

• Korean Journal of Mathematics
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• v.13 no.1
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• pp.83-90
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• 2005

A.H.Hamel proved the Ekeland's principle in a locally convex Hausdorff topological vector spaces by constructing the norm and applying the Ekeland's principle in Banach spaces. In this paper we show that the Ekeland's principle in a locally convex Hausdorff topological vector spaces can be proved directly by applying the famous general principle of H.Br$\acute{e}$zis and F.E.Browder.

• Journal of National Security and Military Science
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• s.7
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• pp.129-154
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• 2009

The principles of military operations(principles of war) are the fundamental principles ruling warfighting that made based on the experiences of wars from the time of ancient Greeks to the World War II. Recent wars such as Iraq War showed us the change of environment of war and the style of waging a war. It is believed that future war will be executed with the style of Rapid Deceive Operations, Effect Based Operations, Network Centric Operations. Therefor the principles of war which we use should be reconsidered whether it is useful or not in future warfare. By considering the present principles of operation which are using in many countries and analysing the style of waging future war, we suggest new principles of operations : principle of gravity, principle of mass and dispersal, principle of disturbance, principle of speed, principle of paralysis, principle of synchronization and integration, principle of leadership, and principle of information.

• Development and Reproduction
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• v.26 no.4
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• pp.183-190
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• 2022

Today's Eastern philosophers try to use the formal logic organized by Aristotle, saying that there was no logic in the East. This researcher found that Confucius and other Asians used Che-Yong logic. The Che-Yong logic is based on the Che-Yong law, which is a natural law. The Che-Yong law consists of the Che-Yong principle and the Hyeon-Mi principle. The Hyeon-Mi principle is that if there is an appearance on the outside, there is a corresponding cause in it. The Che-Yong principle is that the highest common cause of various appearances is Che, and the Che grows and changes on its own to become a Yong. Identifying Che and predicting Yong is Che-Yong logic. Here, I'd like to introduce Che-Yong logic and suggest a new research methodology to apply it.

• The Mathematical Education
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• v.55 no.2
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• pp.193-208
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• 2016

This study analyzes the likelihood principle and elicits an educational implication. As a result of analysis, this study shows that Frequentist and Bayesian interpret the principle differently by assigning different role to that principle from each other. While frequentist regards the principle as 'the principle forming a basis for statistical inference using the likelihood ratio' through considering the likelihood as a direct tool for statistical inference, Bayesian looks upon the principle as 'the principle providing a basis for statistical inference using the posterior probability' by looking at the likelihood as a means for updating. Despite this distinction between two methods of statistical inference, two statistics schools get clues to compromise in a regard of using frequency prior probability. According to this result, this study suggests the statistics education that is a help to building of students' critical eye by their comparing inferences based on likelihood and posterior probability in the learning and teaching of updating process from frequency prior probability to posterior probability.

• Journal of Science and Technology Studies
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• v.10 no.2
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• pp.143-174
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• 2010

How can a regulatory policy to address potential hazards be made legitimate in the face of scientific uncertainty? The precautionary principle has been gradually regarded as the most persuasive answer to this intricate question in Europe since the 1970s and generally recognized as a guiding principle in international environmental law. This principle, however, has often been subject to diverse concerns and criticisms due to its vague definition. This article tries to elaborate the precautionary principle while reviewing both the validity and unreasonableness of these criticisms over this principle. Then, this article explores the policy relevance of this principle by applying this elaborated definition to the concrete case of risk governance such as the risk assesment of food safety. In the end, this paper emphasizes the fact that the precautionary principle can be applied in the field of risk governance, refuting the argument that the precautionary principle is only a moral attitude or a political position.

• Journal of Korean Medical classics
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• v.26 no.2
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• pp.47-59
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• 2013

Objective : Syndrome differentiation(辨證) has clinical importance in East Asian Traditional Medicine. There are several ways for Syndrome differentiation. However, Eight Principle Pattern Identification(八綱辨證) is the base of other Syndrome differentiations. Of the physicians focused on Eight Principle Patterns(八綱), I have researched for Eight Principle Pattern Identification concerning with Zhang Jie-Bin(張介賓), Cheng Guo-Peng(程國彭), and Jiang Han-Tun(江涵暾) in Ming(明) and Qing(淸.) Method : Applying to Eight Principle Pattern Identification, I have researched comparatively for 3 kinds for. First, Zhang Jie-Bin's Jingyuequanshu(景岳全書) that involves Yinyangpian(陰陽篇), Liubianbian(六變辨), Biaozhengpian(表證篇), Lizhengpian(裏證篇), Xushipian(虛實篇), and Hanrepian(寒熱篇), secondly, Cheng Guo-Peng's Yixuexinwu(醫學心悟) Hanrexushibiaoliyinyangbian(寒熱虛實表裏陰陽辨), at lastly Jiang Han-Tun's Bihuayijing(筆花醫鏡) Biaolixushihanreyinyangbian(表裏虛實寒熱辨). Results : All of sick cases can be explained totally by Eight Principle Patterns. Of Eight Principle Patterns, Yin(陰) and Yang(陽) include last Six Principle Patterns(六綱 : 表裏, 寒熱, 虛實). Six Principle Patterns can be divided normally by 6 pulses(六脈 : 浮沈 遲數 虛實). In all of pain cases, feeling comfortable(可按) or discomfortable(拒按) to palpation can be important foundation for distinguishing Xu(虛) from Shi(實). Physical constitution(體質) for Hanre Xushi(寒熱 虛實) and tongue-diagnosis(舌診) for Biaoli Hanre(表裏 寒熱) are used effectively. Related with tongue-diagnosis, tongue-coating(舌苔) for Biaoli and tongue status(舌質) for Hanre are used effectively. Symptoms should be divided following this sequence, Biaoli ${\rightarrow}$ Hanre ${\rightarrow}$ Xushi and lastly should be summarized of Yinyang. Conclusion : Diagnosing with Eight Principle Patterns, digestive function, urine, and feces should be checked at first. In addition, the pulse, tongue, physical constitution, and good or bad from palpation(觸診), these should be checked and give a result. And then the result can be an important evidence of syndrome differentiation. As a result, it would be the best to diagnosis that discriminating the sequence as Biaoli Hanre Xushi and summarizing with Yinyang.

• The Korean Journal of Applied Statistics
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• v.18 no.3
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• pp.673-687
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• 2005

We investigate both the design-based and model-based inferences, which are usual inferential methods in survey sampling. While the design-based inference is on the basis of randomization principle, The motel-based inference is based on likelihood principle as well as conditionality principle. There have been some disputes between two inferences for a long time and those have not yet been determined. In this paper we reviewed some issues on two inferences and compared their advantages and disadvantages in some viewpoints.