• East Asian mathematical journal
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• 제40권2호
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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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• 제22권8호
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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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• 제22권10호
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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.

• 정보교육학회논문지
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• 제21권6호
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• pp.629-638
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• 2017

정보 교과에서 컴퓨팅사고력을 통해 해결하고자 하는 정보 교과 문제의 정의와 특성을 알아보고, 정보 교과 문제의 유형과 사례, 정보 교과 문제 해결을 위한 교수학습방법 등에 대하여 탐구하였다. 정보 교과 문제에 대해 알아보기 전, 먼저 타 교과에서 문제의 정의와 문제의 종류, 문제 해결의 중요성에 대하 조사하였다. 이러한 조사를 바탕으로 정보 교과는 컴퓨팅사고력과 컴퓨팅 파워를 통해 비구조화된 문제를 해결할 수 있고, 그러한 문제에는 카운팅 문제, 결정 문제, 검색 문제, 최적화 문제 등이 있다는 것을 알게 되었다. 이러한 컴퓨팅 과학 문제를 해결하기 위해 알고리즘 기반의 교수학습 방법, 즉, 탐색기반 교수학습방법과 관계기반 교수학습방법을 제안하였다. 선생님들은 문제의 특성에 따라 두 가지 방법을 활용함으로써, 학생들이 문제를 해결하는 과정에서 추상화, 자동화, 일반화 등의 컴퓨팅사고력을 향상시킬 수 있다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제3권1호
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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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• 제21권8호
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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.

• 한국과학교육학회지
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• 제24권1호
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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.

• 대한지구과학교육학회지
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• 제7권3호
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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.

• 한국과학교육학회지
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• 제40권3호
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• pp.253-269
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• 2020

본 연구는 2015 개정 과학과 교육과정에 제시된 성취기준에 기초하여 현대물리 개념지식에 대한 예비 물리교사의 이해를 진단할 수 있는 개념 진단지를 개발하고 타당도와 신뢰도를 확인하였다. Messick(1995)의 분류에 따른 5가지 타당도 중 검사내용에 기초한 타당도는 일련의 전문가 내용타당도 검사로 진행하여 확인한 후 24문항의 설문용 현대물리 개념 진단지를 구성하였다. 국내 15개 사범대학의 467명의 예비 물리교사에게 개발된 현대물리 개념 진단지를 적용하여 문항의 신뢰도와 Messick(1995)의 나머지 4가지 타당도를 확인하였다. 실제에 기초한 타당도는 Rasch 모형이 적용된 통계분석방법으로 문항적합도(MNSQ)를 확인한 결과, 23문항이 적합한 수준으로 나타났다. 이중 오타가 발생한 문항을 제외한 22문항에 대하여 내적구조에 기초한 타당도 분석을 하여 개발된 현대물리 개념 진단지의 일차원성을 확인하였다. 일반화에 기초한 타당도 확인 결과에 따르면 개발된 개념 진단지가 집단특성에 대해 독립적이라고 판단된다. 양자역학 수강 여부에 따른 검사점수의 t-검증 결과, 유의미한 차이가 나타났으며, 이를 외적준거에 기초한 타당도 확인으로 활용하였다. Cronbach alpha 및 Rasch 모형 분석에서의 피험자 신뢰도와 문항신뢰도 값은 검사자료가 적합한 수준의 신뢰도를 갖는다는 보여주었다. 또한 고전검사이론에 의한 문항분석 결과, 양호한 문항난이도를 보여주었으며 문항변별도는 두 문항이 준거값을 벗어났으나 다른 나머지 문항들은 양호한 값을 보여주었다. 양류상관계수는 한 문항을 제외한 나머지에 대해서 양호한 값을 나타내었다. KR-20과 Ferguson's delta 값 역시 검사지가 양호하다는 것을 보여주었다. 마지막으로 문항반응 이론에 의한 문항난이도(추정치)를 Rasch 모형 분석으로 추정하였으며, 이 값들은 피험자 집단 특성에 영향을 받지 않을 것으로 판단된다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제26권3호
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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.