• East Asian mathematical journal
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• v.40 no.2
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• pp.209-229
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• 2024

In this study, we design a teaching unit that constructs Pascal graphs and extended Pascal triangles to explore number patterns inherent in them. This teaching unit is designed to consider the diachronic process of teaching-learning by combining Dörfler's theoretical generalization model with Wittmann's design science ideas, which are applied to the didactical practice of mathematization. In the teaching unit, considering the teaching-learning level of prospective teachers who studied discrete mathematics, we generalize the well-known Pascal triangle and its number patterns to extended Pascal triangles which have directed graphs(called Pascal graphs) as geometric models. In this process, the use of symbols and the introduction of variables are exhibited as important means of generalization. It provides practical experiences of mathematization to prospective teachers by going through various steps of the generalization process targeting symbols. This study reflects Wittmann's intention in that well-understood mathematics and the context of the first type of empirical research as structure-genetic didactical analysis are considered in the design of the learning environment.

• International Journal of Computer Science & Network Security
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• v.22 no.8
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• pp.217-221
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• 2022

The article analyzes the main theoretical approaches to the formation of managerial competencies and establishes the degree of development of the problem. The content of the concept of "managerial competence" has been clarified, to determine the structure of managerial competencies of a future specialist in the education system and indicators of the formation of managerial competencies. The organizational and pedagogical conditions necessary for the effective process of forming the managerial competencies of future specialists are revealed. The following research methods were used in the work: theoretical (analysis of regulatory documents and scientific literature on the problem under study, comparison, generalization, modeling), empirical (diagnostics of the level of formation of managerial competencies of students of the system, questioning, observation, peer review, comparative qualitative and quantitative analysis of diagnostic results the level of formation of managerial competencies).

• International Journal of Computer Science & Network Security
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• v.22 no.10
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• pp.91-96
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• 2022

Article materials reflect the results of scientific research and generalization of experience concerning quality measurement of student's educational activities in the context of innovative development of the educational process, which is ensured by introducing educational innovations. The main point of monitoring of higher education students' activities and also phenomenon of education quality, particularly its results, are determined in the research. Guided by the scientific theory and personal experience of scientific and pedagogical activities, the attempt to single out the key components, important indicators and to introduce component indicator model of quality of higher education students' activities on the qualimetry base has been performed. Methodical solutions concerning the application of the developed model to determine the dynamics of pedagogical students' educational achievements by particular educational components in the process of innovative development of educational process are proposed. The advanced studies that relate to the development of methods for monitoring the quality of pedagogical higher education students' activities on the basis of systemic, competence and qualimetry approaches taking into account the levels of education and chosen specialties have been decided.

• Journal of The Korean Association of Information Education
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• v.21 no.6
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• pp.629-638
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• 2017

This study investigated the definition and characteristics of computer science problem to be solved through computational thinking. It also explored types and cases of both computer science problems and teaching learning methods to solve computer science problems. Before studying computer science problems, I examined the definition, type, and the importance of problem solving in other subjects. Based on this research, We found that informatics can solve ill-structured problems through computational thinking and the power of computing. This includes counting, decision, retrieval, and optimization problems. Teachers can improve their students' skills in computational thinking, particularly as related to abstraction, automation, and generalization, by choosing the appropriate teaching and learning method or based on the characteristics of the problem.

• The Pure and Applied Mathematics
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• v.3 no.1
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• pp.33-40
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• 1996

A convergence structure defined by Kent [4] is a correspondence between the filters on a given set X and the subsets of X which specifies which filters converge to points of X. This concept is defined to include types of convergence which are more general than that defined by specifying a topology on X. Thus, a convergence structure may be regarded as a generalization of a topology. With a given convergence structure q on a set X, Kent [4] introduced associated convergence structures which are called a topological modification and a pretopological modification. (omitted)

• International Journal of Computer Science & Network Security
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• v.21 no.8
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• pp.187-195
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• 2021

The intensification of the processes of the digital economy development is leading to the transformation of the higher education system. Universities are forced to digitalize their own educational, research, international, marketing, financial and economic activities in order to maintain a competitive position in the global market of educational services. The purpose of the article is to study the role of information and communication technologies in the development of the higher education system and to ensure its adaptability to modern challenges of digital economy. To achieve this goal, methods of content analysis, logical generalization, systematization and a structural-functional method are used. In the article, the authors substantiate the urgency of forming a holistic strategy to ensure the adaptability of higher education to the challenges of digital economy. In the structure of this strategy, the information-technological block is singled out and described. The authors specified a set of positive synergetic effects from the introduction of modern information and communication technologies in the activities of universities. The main information threats to the digitalization of higher education related to the protection of personal data and university systems from cyberattacks and fraudulent schemes are identified. In conclusion, the authors detail the measures for the strategy implementation to ensure the adaptability of higher education to digital economy.

• Journal of The Korean Association For Science Education
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• v.24 no.1
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• pp.29-47
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• 2004

Two project-centered secondary school programs were studied as part of an effort to elucidate successful components for science reform-based curriculum development. The Teachers for Exciting Science (TES), and Foundational Approaches in Science Teaching (FAST) programs in Korea and U.S., respectively, are project-centered programs because their curricula are centered on the activities initiated and engaged in by the students. Students serve as principal investigators in their projects, and teachers serve as guides. Both programs were analyzed based on criteria such as curriculum design, teaching, lives of students, lives of teachers, evaluation of program, from the Third International Mathematics and Science Study (TIMSS). In the programs, teachers and students directed the development of curricula and their implementation. Students assumed teacher roles as mentors of other students. And emphasis was on development of communication skills through student-delivered talks and written papers, and professional development of teachers as educators and scientists. Participation in TES stimulated secondary school student interest in science, encouraged inquiry thinking, increased achievement in learning science, and promoted better awareness of science related to real life. FAST students practice laboratory and field techniques, experimental design, hypothesis formation, generalization, and practical implications of research as academic and applied disciplinarians. These project-centered programs have been successfully implemented in field, lab, and classroom curricula for secondary science education. Comparison of these programs will provide an opportunity for identifying key elements instrumental in successful implementation of guidelines for science education, as measured through successful outcomes.

• Journal of the Korean Society of Earth Science Education
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• v.7 no.3
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• pp.293-302
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• 2014

The purpose of this study is to investigate the effects of research project program of science process skills and science-related attitudes for high school students. This study were accompanied by 72 junior students of G High School who were reorganized as students whose research subject was closely related to chemistry. These students went through 28 periods of 14 sessions of research project program, were tested before and after the study on their science process skills and science-related attitudes. A simple questionnaire afterwards to get their thoughts on this program, was surveyed. The results are as follows. First, the research project program was effective in the science process skills (p<0.01). There was a statistically meaningful difference in the subcategory of deduction, setting up hypotheses, finding variables, building experiments, graphing and interpreting data. Although there was an increase in the average scores of prediction, operant definition, and generalization factors, it was not statistically meaningful (p>0.05). Second, the research project program showed an increase in the post-test of the science-related attitudes but was not statistically meaningful (p>0.05). In terms of subcategoty, the social importance of science, criterion of scientists, application of scientific attitude, and enjoyment of science classes were statistically meaningful (p<0.05). Third, according to the survey of research project program, there was an increase in creating a research problem and solving it by oneself as well as in participating with other teammates to solve a problem. But the most difficult thing was when the experiment failed during the research was processing. The curiosity and interest, towards objects around all lives and science classes after the program done, were increased.

• Journal of The Korean Association For Science Education
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• v.40 no.3
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• pp.253-269
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• 2020

This study aims to develop items to diagnose pre-service physics teachers' understanding of the conceptual knowledge of modern physics, based on the achievement criteria presented in the 2015 revised national science curriculum, and to identify the validity and reliability of the newly developed items. Data were collected from 467 pre-service physics teachers in the Physical Education Department or Science Education Department (Physics Education Major) of 15 universities across the nation. In this study the content validity, substantive validity, the internal structure validity, generalization validity, and the external validity proposed by Messick (1995) were examined by various statistical tests. The results of the MNSQ analysis showed that there was no nonconformity in the 23 items. The internal structure validity was confirmed by the standardized residual variance analysis, which shows that the 22 items was unidimensional. The generalization validity was confirmed by differential item functioning (DIF) analysis about groups lectured or not modern physics/quantum mechanics. In addition, item analysis and test analysis based on classical test theory were performed. The mean item difficulty is 0.66, mean item discrimination is 0.47 and mean point biserial coefficient obtained was 0.41. These results for item parameters satisfied the criteria respectively. The reliability of the internal consistency of the KR-20 is 0.77 and the Ferguson's delta obtained was δ = 0.972. By Rasch model analysis, the item difficulty (item measures) was discussed.

• Research in Mathematical Education
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• v.26 no.3
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• pp.147-166
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• 2023

Mathematics is a science of pattern. Mathematics is a subject of inquiring which aims at discovering the models hidden behind the world. Pattern is abstraction and generalization of the model. Mathematical pattern is a higher level of mathematical model. Mathematics patterns are often hidden in pattern similarity. Creation of mathematics lies largely in discovering the pattern similarity among the various components of mathematics. Inquiring is the core and soul of mathematics teaching. It is very important for students to study mathematics like mathematicians' exploring and discovering mathematics based on pattern similarity. The author describes an example about how to guide students to carry out mathematics inquiring based on pattern similarity in classroom.