• The Mathematical Education
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• v.58 no.2
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• pp.319-335
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• 2019

In this paper, we examine the effectiveness of calculation according to automation, which is one of Computational Thinking, by coding the conceptual process into Python language, focusing on the concept of divisibility in elementary school textbooks. The educational implications of these considerations are as follows. First, it is possible to make a field of learning that can revise the new mathematical concept through the opportunity to reinterpret the Conceptual Thinking learned in school mathematics from the perspective of Computational Thinking. Second, from the analysis of college students, it can be seen that many students do not have mathematical concepts in terms of efficiency of computation related to the divisibility. This phenomenon is a characteristic of the mathematics curriculum that emphasizes concepts. Therefore, it is necessary to study new mathematical concepts when considering the aspect of utilization. Third, all algorithms related to the concept of divisibility covered in elementary mathematics textbooks can be found to contain the notion of iteration in terms of automation, but little recursive activity can be found. Considering that recursive thinking is frequently used with repetitive thinking in terms of automation (in Computational Thinking), it is necessary to consider low level recursive activities at elementary school. Finally, it is necessary to think about mathematical Conceptual Thinking from the point of view of Computational Thinking, and conversely, to extract mathematical concepts from computer science's Computational Thinking.

• The Journal of Korean Association of Computer Education
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• v.18 no.5
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• pp.25-34
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• 2015

The purpose of this research is to suggest the method of code analysis for evaluating learners' projects in computational thinking(CT) education. Recently, block programming tools are applied to K-12 SW education, this study considered the assessment method for evaluating students' levels and learning about CT concepts through analyzing codes of the Scratch projects that students created. As a result from the analysis of 45 projects of novices, it showed the bad coding patterns of novices and verified that it is possible to evaluate students' learning about CT concepts through the analysis of their codes. The higher learner's level, the greater scores of logical thinking, synchronization, flow control, and data representation. This result is able to apply to student assessment of CT concepts in K-12 SW education.

• Korean Journal of Computational Design and Engineering
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• v.4 no.3
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• pp.224-237
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• 1999

This paper proposes a case-based approach to the conceptual design of mechanism, especially of the generation of design alternatives in function generation and motion transmission tasks. The aim of this work is to generate and provide various design alternatives by utilizing the previous design concepts underling in the existing design cases. The approach is based on the basic idea that the whole design concepts or sub-concepts extracted from different design cases can be merged to generate a variety of new design alternatives. The notion of virtual function generator is introduced to conceptualize and represent all possible underlying design concepts in the prior design cases. The virtual function generators are extracted in advance from the existing mechanism and serve as new conceptual building blocks for the synthesis of mechanism. Various design alternatives are generated basically by merging tow virtual function generators that partially match the specified function. By utilizing the design concepts that have been effectively used in the previous design cases. he proposed approach could efficiently produce more feasible design concepts than from-scratch ones. The approach proposed in this paper is illustrated with a design example.

• Journal of applied mathematics & informatics
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• v.39 no.3_4
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• pp.303-319
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• 2021

In this paper, we introduce the concepts of Wijsman strongly p-lacunary summability of order 𝛼, Wijsman lacunary statistical convergence of order 𝛼 and Hausdorff lacunary statistical convergence of order 𝛼 for double set sequences. Also, we investigate some properties of these new concepts and examine the existence of some relationships between them. Furthermore, we study the relationships between these new concepts and some concepts in the literature.

• Journal of The Korean Association of Information Education
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• v.20 no.5
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• pp.519-526
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• 2016

MIT App Inventor 2, much like the other block-based programming languages such as Scratch and Alice, is a useful tool that can be utilized to improve the computational thinking skills for students. The coding and the execution of program are done mainly on the computer in Scratch programming, but in App Inventor 2 programming, the students can execute the program and get immediate feedback on the smart-phone in the middle of the programming. Therefore, we can expect better enhanced learning effect. In this study, it has been claimed that the learning of App Inventor2 can strengthen the computational thinking skills of our students by extracting four core concepts of the computational thinking and then showing how these concepts are applied through the learning of App Inventor 2.

• Journal of applied mathematics & informatics
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• v.19 no.1_2
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• pp.457-466
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• 2005

In this paper we present the concepts of fuzzy submachine, which are the generalized form of crisp submachine of a fuzzy finite state machine. Also we extend the concepts of system of generators to fuzzified form.

• Journal of applied mathematics & informatics
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• v.6 no.1
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• pp.265-272
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• 1999

In this paper we define generalized concepts of cardinal-ity of a fuzzy-valued function and obtained some properties of these new concepts.

• Journal of The Korean Association of Information Education
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• v.19 no.1
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• pp.57-68
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• 2015

Since the entering SW-centered society in which people make the best use of SW in order to express their own personal ideas or to solve problems, the significance of SW education has been emphasized. It is generally known that storytelling provides motivational and contextual environments. This study conducted an experimental research to find out how Aesop's fables-applied SW educational program would influence computational thinking. Of these students who had participated in an SW educational camp on every Saturday for a total of 6 weeks, the experimental group learned on basic concepts of Scratch programming as working on Aesop's fables and they were led to diverse SW activities such as stories, games, simulations arts, and others. After that, the study carried out a comparison research in relation to the groups' SW concepts, SW implementation and attitudes toward SW education. The result shows that the experimental group came up with higher levels of SW concepts, implementation and positive attitude toward SW education.

• East Asian mathematical journal
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• v.38 no.4
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• pp.463-496
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• 2022

The purpose of this study is to analyze the mathematical creativity and computational thinking of mathematically gifted elementary students through a convergence class using programming and to identify what it means to provide the convergence class using Python for the mathematical creativity and computational thinking of mathematically gifted elementary students. To this end, the content of the nine sessions of the Python-applied convergence programs were developed, exploratory and heuristic case study was conducted to observe and analyze the mathematical creativity and computational thinking of mathematically gifted elementary students. The subject of this study was a single group of sixteen students from the mathematics and science gifted class, and the content of the nine sessions of the Python convergence class was recorded on their tablets. Additional data was collected through audio recording, observation. In fact, in order to solve a given problem creatively, students not only naturally organized and formalized existing mathematical concepts, mathematical symbols, and programming instructions, but also showed divergent thinking to solve problems flexibly from various perspectives. In addition, students experienced abstraction, iterative thinking, and critical thinking through activities to remove unnecessary elements, extract key elements, analyze mathematical concepts, and decompose problems into small components, and math gifted students showed a sense of achievement and challenge.

• Korean Journal of Computational Design and Engineering
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• v.11 no.4
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• pp.273-288
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• 2006

Information integration of heterogeneous digital parts libraries or electronic pars catalogs is one of issues in B2B procurements. We need to provide an integrated view for multiple information sources. Utilization of ontologies as the metadata descriptions of the information sources can provide an integrated view. However, in order to integrate independently developed ontologies, the mismatches among them should be resolved. In this paper, we propose an ontology of meta-concepts, i.e. meta-ontology. The meta-concepts play the role of vocabulary to describe the parts library ontologies and provide well-established ontological semantics that helps the ontology modelers to consistently identify parts library concepts and systematically structure them. Consequently, the meta-ontology reduces the differences in the way the parts knowledge is interpreted and ensures the mismatches are confined to manageable mis matches, so that a software program can merge automatically. Modeling ontologies of mold and die parts libraries for B2B e-commerce is taken as an example to show how to use the meta-ontology. We also discuss how a parts library mediation system can automatically merge the well-structured parts library ontologies.