• School Mathematics
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• v.7 no.4
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• pp.353-373
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• 2005

The purpose of this paper is to analysis the basic network problem which can be applied to the mathematically gifted students in elementary school. Mainly, we discuss didactic transpositions of the double counting principle, the game of sprouts, Eulerian graph problem, and the minimum connector problem. Here the double counting principle is related to the handshaking lemma; in any graph, the sum of all the vertex-degree is equal to the number of edges. The selection of these subjects are based on the viewpoint; to familiar to graph theory, to raise algorithmic thinking, to apply to the real-world problem. The theoretical background of didactic transpositions of these subjects are based on the Polya's mathematical heuristics and Lakatos's philosophy of mathematics; quasi-empirical, proofs and refutations as a logic of mathematical discovery.

• Journal of Educational Research in Mathematics
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• v.14 no.2
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• pp.143-156
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• 2004

Lakatos's mathematical philosophy implies that the mathematical knowledge is quasi-empirical and provides the context where mathematics grows and develops. So, it is educationally significant. But, it is not easy to apply Lakatos's methodology to teaching elementary mathematics, because Lakatos's logic of the mathematical discovery is based on the proofs and refutations but elementary mathematics does not contain any proof. This study is to develop the schemes that apply Lakatos's methodology to teaching elementary mathematics and to provide the teaching examples. I devised the teaching process and the curriculum development method. And I developed the teaching examples.

• Korean Journal of Logic
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• v.8 no.1
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• pp.23-46
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• 2005

The purpose of the paper Is to discuss and estimate early Popper's theory of probability, which is presented in his book, The Logic of of Scientific Discovery. For this, Von Mises' frequency theory shall be discussed in detail, which is regarded as the most systematic and sophisticated frequency theory among others. Von Mises developed his theory to response to various critical questions such as how finite and empirical collectives can be represented in terms of infinite and mathematical collectives, and how the axiom of randomness can be mathematically formulated. But his theory still has another difficulty, which is concerned with the inconsistency between the axiom of convergence and the axiom of randomness. Defending the objective theory of probability, Popper tries to present his own frequency theory, solving the difficulty. He suggests that the axiom of convergence be given up and that the axiom of randomness be modified to solve Von Mises' problem. That is, Popper introduces the notion of ordinal selection and neighborhood selection to modify the axiom of randomness. He then shows that Bernoulli's theorem is derived from the modified axiom. Consequently, it can be said that Popper solves the problem of inconsistency which is regarded as crucial to Von Mises' theory. However, Popper's suggestion has not drawn much attention. I think it is because his theory seems anti-intuitive in the sense that it gives up the axiom of convergence which is the basis of the frequency theory So for more persuasive frequency theory, it is necessary to formulate the axiom of randomness to be consistent with the axiom of convergence.

• The korean journal of orthodontics
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• v.27 no.5 s.64
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• pp.669-682
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• 1997

[$Bj\ddot{o}rk$] and Skieller concluded after following facial growth patterns using implants in upper and lower jaw bones that stable structures, which are not influenced by the growth do exist and so these must be the reference landmarks in the process of superimposition. In spite of such facts, for the last 40 years since the discovery of stable structures, most orthodontists have preferred best fit superimposition method to structural method. Cases such as Angle's Class II division 2 malocclusion that show characteristic forward and upward growth or one under long period of post-treatment observation demonstrate that distinct differences exist between the two methods of superimposition. Today, ethical concerns prohibit further growth studies that use implants, md so there is no choice but to use stable structural superimposition method based on $Bj\ddot{o}rk's$ data. Thus, to encourage clinical use of stable structural superimposition method, logic for the use of stable structural superimposition method will be demonstrated, and its technical methods of application will be introduced step by step.

• Communications of Mathematical Education
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• v.27 no.3
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• pp.221-248
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• 2013

Among five types of the model textbook based on storytelling, the type of 'Inquiry into history of Mathematics' focuses on adapting the logic of mathematical discovery to the organization of mathematical contents. It enables students to recognize that mathematics has been developed by human needs and creativity while they are engaged in the story about knowledge formation. Moreover the textbook offers the context in which students are able to understand mathematical insights and logics hidden in the subject matter, so that they can reinvent and develop mathematical knowledge. In this study, we found the principles for development of the textbook based on storytelling for 'Inquiry into History of Mathematics' by analyzing the chapter about 'Complex number and Quadratic Equations' of the model textbook. The chapter was implemented in classroom environment and students' understanding of the subject matter and their perception on the textbook based on storytelling were surveyed before and after the implementation. The results showed the possibilities of adapting the textbook based on storytelling and we suggested some implications for further development.

• Journal of Korea Society of Industrial Information Systems
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• v.22 no.6
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• pp.71-84
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• 2017

Over the past decade, we have witnessed Serious Debates in MISQ and Other Journals Between Two Camps that have Differing Views on the use of Causal Indicators to Measure Constructs. There is the Camp that advocates Causal Indicators (ADVOCATE) and the Camp that opposes Their Usage (OPPONENT). The Debates have been primarily centered on the OPPONENT's Argument that the Meaning of a Latent Variable is determined by its Outcome Variables. However, Little Effort has been made to Validate the ADVOCATE's Dispute (Against the OPPONENT's Arguments) that the Meaning of a Latent Variable is decided by its Causal Indicators if there is no Misspecification. Our Study precisely examines the Integrity of the Argument. For this, we empirically examine how the two Primary Psychometric Properties-Comprehensiveness and Interrelationship-of Causal Indicators Influence Theory Testing between Latent Variables through Three Different Tests (i.e., Comprehensive Test, Interrelationship Test, and Mixed Test). Conducted on Two Different Datasets, Our Analysis Consistently Reveals that Structural Path Coefficients are Hardly Sensitive to the Changes (i.e., Misspecification) in the Properties of Causal Indicators. The Discovery offers Important Evidence that the Sound Theoretical Logic of a Causal Model is not in Sync with the Empirical Mechanism of Parameter Estimation. This Underscores that a Latent Variable Formed by Causal Indicators is empirically an elusive notion that is Difficult to Operationalize. As Our Results have Significant Implications on the Integrity of Numerous IS studies which have conducted Theory or Hypothesis Testing Using Causal Indicators, we strongly advocate Open Discussions among Methodologists regarding Our Findings and Their Implications for Both Published IS Research and Future Practices.

• Proceedings of the Korean Society for Bioinformatics Conference
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• 2001.08a
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• pp.129-137
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• 2001

We used cDNA microarrays to assess gene expression profiles in 60 human cancer used in a drug discovery screen by the National Cancer Institute. Using these data, we linked bioinformatics and chemoinformatics by correlating gene expression and drug activity pattens in the NCI60 lines. Clustering the cell lines on the basis of gene expression yielded relationships very different from those obtained by clustering the cell lines on the basis of their response to drugs. Gene-drug relationships for the clinical agents 5-fluorouracil and L-asparaginase exemplify how variations in the transcript levels of particular genes relate to mechanisms of drug sensitivity and resistance. This is the first study to intergrate large databases on gene expression and molecular pharmacology.

• Cross-Cultural Studies
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• v.48
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• pp.31-66
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• 2017

This study examines ways of recognizing and aspects of describing Korean modern literature revealed by each literary history from the viewpoint of 'transculturation', focusing on Lim Jeon-Hye's "History of Korean Literature in Japan until 1945", Shirakawa Yutaka's "Footsteps of Korean Modern Literature", and Saegusa Toshikatsu's "Taste of Korean Literature" from the history of Korean literature written in Japan. First, Lim Jeon-Hye periodically examines Korean literature written in Japan, focusing on literary activities of Korean students in Japan and the proletarian literature movement, and addresses points of active cultural negotiation, mutual understanding and political solidarity between Korea and Japan. Shirakawa Yutaka focuses on the concurrency and connection of Korea, China, and Japan in the process of modern literary formation, covering Japanese language literature and pro-Japanese literature with great care, and describes the middle-layer position as a mediating researcher in the conflicting boundaries between Korea and Japan. Saegusa Toshikatsu provides interesting transcultural momentum in exploring internal logic and denotation of Korean literature via comparative literature review encompassing East Asia, implementation of literary forms and themes connecting tradition and modernity, and an out-of-boundary point of view to overlook 'pro-Japanese literature', etc. Transcultural aspects in this literary history to examine are as follow. First, the history of Korean modern literature based on 'national literature history' is catabolized in the magnetic field of the 'colonial experience' and 'national nationalism' and considered in multifaceted context. Second, they provide the possibility of three-dimensional and micro-narrative description of literature that complement the narrative aspect of existing Korean literature history. Third, they provide an opportunity to expand and open the description of literature history through acceptance of comparative literary perspectives encompassing East Asia. Fourth, through discovery of Korean-Japanese literature and Japanese language literature, they contribute to broadening the history of Korean modern literature and enriching foundations.