• 제목/요약/키워드: principle

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역사발생적 수학 학습-지도 원리에 관한 연구 (A study on historico-genetic principle of teaching and learning in mathematics)

  • 우정호;민세영
    • 대한수학교육학회지:수학교육학연구
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    • 제12권3호
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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.

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MAXIMUM PRINCIPLE AND COMPARISON PRINCIPLE OF p-HARMONIC FUNCTIONS VIA p-HARMONIC BOUNDARY OF GRAPHS

  • Lee, Yong Hah
    • 대한수학회보
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    • 제49권6호
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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.

변분법과 최대.최소 : 역사적 고찰

  • 한찬욱
    • 한국수학사학회지
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    • 제17권1호
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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.

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DIRECT PROOF OF EKELAND'S PRINCIPLE IN LOCALLY CONVEX HAUSDORFF TOPOLOGICAL VECTOR SPACES

  • Park, Jong An
    • Korean Journal of Mathematics
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    • 제13권1호
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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.

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현대전 양상에 부합된 군사작전 원칙에 관한 연구 (A Study on the Principles of Military Operations Coincident with Modern War)

  • 이강언;최성수
    • 안보군사학연구
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    • 통권7호
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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.

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Che-Yong(體用) Logic and Research Methodology

  • YongNam Yun
    • 한국발생생물학회지:발생과생식
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    • 제26권4호
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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.

우도원리에 대한 분석과 그에 따른 교육적 시사점에 대한 연구 (A Study on Analysis of Likelihood Principle and its Educational Implications)

  • 박선용;윤형석
    • 한국수학교육학회지시리즈A:수학교육
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    • 제55권2호
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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.

사전주의의 원칙은 비과학적인가?: 위험 분석과의 논쟁을 통해 본 사전주의 원칙의 '합리성' (Is the Precautionary Principle Unscientific?: 'Rationality' of the Precautionary Principle and its Conflicts with Risk Analysis Framework)

  • 하대청
    • 과학기술학연구
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    • 제10권2호
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    • pp.143-174
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    • 2010
  • 과학적 불확실성이 존재하는 상황에서 위험에 대응하는 규제 정책의 정당성을 어떻게 확보할 수 있을까? 이런 중요한 물음과 관련해 70년대 이후 유럽을 중심으로 사전주의의 원칙이 하나의 대안으로 부상해왔고 국제 환경법 분야에서는 주요 원리로 인정받아왔다. 하지만 이 원칙은 그 정의의 모호함 때문에 위험분석 옹호자들로부터 다양한 비판을 받아왔다. 이 논문은 이런 여러 비판들의 적실성과 부당함을 함께 평가하면서 사전주의의 원칙의 정교화작업을 시도할 것이다. 그리고 이런 작업을 통해 얻은 결과를 위험 거버넌스 중 과학적 영역으로 흔히 인정받는 위험평가에 적용해봄으로써 이 원칙의 정책적 활용 가능성을 탐색해볼 것이다. 특히, 사전주의의 원칙은 단지 도덕적 태도이거나 정치적 입장일 뿐이라는 일부 시각을 반박하면서 이 원칙이 실제 과학적 활동 속에서 충분히 적용가능한 실제적 원리임을 강조할 것이다.

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팔강변증(八綱辨證)에 대한 비교 연구 - 장개빈(張介賓).정국팽(程國彭).강함돈(江涵暾)을 중심으로 - (A Comparative Research of Eight Principle Pattern Identification - based on Zhang Jie-Bin, Cheng Guo-Peng, and Jiang Han-Tun -)

  • 김진호
    • 대한한의학원전학회지
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    • 제26권2호
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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.

표본조사에서 설계기반추론과 모형기반추론 (Design-based and model-based Inferences in Survey Sampling)

  • 김규성
    • 응용통계연구
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    • 제18권3호
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    • pp.673-687
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    • 2005
  • 표본조사에서 이용하는 모수 추론 방법인 설계기반추론과 모형기반추론을 고찰하였다. 설계기반추론은 확률화 원리에 기초를 두고 있는 반면 모형기반추론은 가정한 모형에서 조건부 원리와 우도 원리에 바탕을 두고 있다. 두 추론은 서로 다른 이론적 근거를 사용하기 때문에 이론적 기초에 관한 논쟁이 오래 전부터 있어 왔으며 지금도 진행되고 있다. 이 논문에서는 두 추론 사이에 진행되었던 논쟁의 초점을 살펴보았고 몇 가지 관점에서 두 추론의 장단점을 비교하였다.