• International Journal of Computer Science & Network Security
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• v.22 no.11
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• pp.272-278
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• 2022

The article proves the idea that the protection and development of Ukraine as an independent, sovereign state requires the education of a patriot citizen who is able to live and work in a democracy, ensure the unity of Ukraine, feel constant responsibility for himself, his people, the country, and strive to make a real contribution to reform processes, especially in unstable, wartime. The main goal of educational institutions in the system of educational work of the modern information space is revealed. The tasks of patriotic education of the individual are presented. The content of patriotic education at the wartime stage and the main characteristics of the content of patriotism are substantiated. The main methodological positions that are taken into account in the construction of the structure and dynamics of the formation of civil responsibility of the individual are highlighted. The structure of civic responsibility as an integral system of the modern information space is drawn, which includes three subsystems that characterize the natural, social and systemic qualities of citizenship, interconnected hierarchically and synergistically. The components of the structural part of the model of civil culture of the individual in the modern information space are analyzed.Modern modernization of the education system in the modern information space, which has led to the emergence of a new type of Educational Institutions, requires the search for new pedagogical technologies that can ensure the formation of a patriotic citizen with an active civic position, which involves not only mastering students' knowledge about the rights and obligations of citizens, convincing them of the expediency of democratic transformations of society, the formation of high moral and strong-willed, patriotic qualities and feelings, but also identifying motivated civic actions, actions that are necessary during martial law in Ukraine.

• International Journal of Computer Science & Network Security
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• v.22 no.8
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• pp.105-112
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• 2022

Innovation is considered as an implemented innovation in education - in the content, methods, techniques and forms of educational activity and personality education (methods, technologies), in the content and forms of organizing the management of the educational system, as well as in the organizational structure of educational institutions, in the means of training and education and in approaches to social services in education, distance and multimedia learning, which significantly increases the quality, efficiency and effectiveness of the educational process. The classification of currently known pedagogical technologies that are most often used in practice is shown. The basis of the innovative activity of a modern teacher is the formation of an innovative program-methodical complex in the discipline. Along with programmatic and content provision of disciplines, the use of informational tools and their didactic properties comes first. It combines technical capabilities - computer and video technology with live communication between the lecturer and the audience. In pedagogical innovation, the principles reflecting specific laws and regularities of the implementation of innovative processes are singled out. All principles are elements of a complex system of organization and management of innovative activities in the field of education and training. They closely interact with each other, which enhances the effect of each of them due to the synergistic effect. To improve innovative activities in the training of students, today computer technologies are widely used in pedagogy as a science, as well as directly in the practice of the pedagogical process. They have gained the most popularity in such activities as distance learning, online learning, assistance in the education management system, development of programs and virtual textbooks in various subjects, searching for information on the network for the educational process, computer testing of students' knowledge, creation of electronic libraries, formation of a unified scientific electronic environment, publication of virtual magazines and newspapers on pedagogical topics, teleconferences, expansion of international cooperation in the field of Internet education. The article considers computer technologies as the main building material for the entire society. In the modern world, there is a need to prepare a person for life in a multimedia environment. This process should be started as early as possible, because the child's contact with the media is present almost from the moment of his birth.

• International Journal of Computer Science & Network Security
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• v.24 no.4
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• pp.127-134
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• 2024

The article highlights the problems of the digitalization of the educational process, which affect the pedagogical cluster and are of a psychological nature. The authors investigate the transformational changes in education in general and the individual beliefs of each subject of the educational process, caused by both the change in the format of learning (distance, mixed), and the use of new technologies (digital, communication). The purpose of the article is to identify the strategic trend of the educational process, which is a synergistic combination of pedagogical methodology and psychological practice and avoiding dialectical opposition of these components of the educational space. At the same time, it should be noted that the introduction of digital technologies in the educational process allows for short-term difficulties, which is a usual phenomenon for innovations in the educational sphere. Consequently, there is a need to differentiate the fundamental problems and temporary shortcomings that are inherent in the new format of learning (pedagogical features). Based on the awareness of this classification, it is necessary to develop psychological techniques that will prevent a negative reaction to the new models of learning and contribute to a painless moral and spiritual adaptation to the realities of the present (psychological characteristics). The methods used in the study are divided into two main groups: general-scientific, which investigates the pedagogical component (synergetic, analysis, structural and typological methods), and general-scientific, which are characterized by psychological direction (dialectics, observation, and comparative analysis). With the help of methods disclosed psychological and pedagogical features of the process of digitalization of education in a mixed learning environment. The result of the study is to develop and carry out methodological constants that will contribute to the synergy for the new pedagogical components (digital technology) and the psychological disposition to their proper use (awareness of the effectiveness of new technologies). So, the digitalization of education has demonstrated its relevance and effectiveness in the pedagogical dimension in the organization of blended and distance learning under the constraints of the COVID-19 pandemic. The task of the psychological cluster is to substantiate the positive aspects of the digitalization of the educational process.

• Journal of the Korean Mathematical Society
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• v.57 no.5
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• pp.1061-1078
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• 2020

We prove some results about the finiteness of co-associated primes of generalized local homology modules inspired by a conjecture of Grothendieck and a question of Huneke. We also show some equivalent properties of minimax local homology modules. By duality, we get some properties of Herzog's generalized local cohomology modules.

• Research in Mathematical Education
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• v.13 no.1
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• pp.63-73
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• 2009

This paper reports on student, parent, and teacher perspectives of the characteristics of the mathematically gifted. The data are extracted from a two-year qualitative study that examined multiple perspectives, school policy documents and program provision for 15 mathematically gifted and talented students aged from 10 to 13 years. The findings have implications for identification and program provision.

• Research in Mathematical Education
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• v.5 no.2
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• pp.99-106
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• 2001

We have known that ethno-mathematics is a field of a study that emphasizes the socio-cultural environment in which a person "does" mathematics as stated by D'Ambrosio(Ethno mathematics and its Place in the History and Pedagogy of Mathematics, 1985). Measurement is an important mathematical topic, which leads students to relate math to the eal-world applications, particularly with socio-cultural aspects. The purpose of this article is to review the history of the measurement system in Korea briefly and to adapt the measurement system into real-world problems so that children acquire measurement knowledge in the most natural way.

• Journal of the Korean Mathematical Society
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• v.54 no.6
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• pp.1829-1839
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• 2017

In this paper, we show some results on the vanishing and the finiteness of local cohomology modules with respect to a pair of ideals. We also prove that Supp($H^{dim\;M-1}_{I,J}(M)/JH^{dim\;M-1}_{I,J}(M)$) is a finite set.

• The Mathematical Education
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• v.43 no.1
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• pp.1-12
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• 2004

We have studied the issues of the current math war in America. Traditionalists and the reformers have been arguing about the curriculums, teaching methods, use of calculators, basic skills, and assessment methods in K-12 mathematics. They both have strengths and weaknesses depending on the situation have contributed for the development of mathematics education. Instead of choosing between traditionalists and the reformist sides, we suggest to adopt an eclectic view point i.e., rigor and creativity, memorization and understanding that may seem at odds with each other are quite compatible and mutually reinforcing. Also teacher's deep knowledge in mathematics is extremely important as his/her knowledge in pedagogy.

• Educational Technology International
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• v.6 no.2
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• pp.1-9
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• 2005

Starting with analyzing the development of cyber-education in China, this article discusses experiences and lessons acquired through making reflections on the following aspects: technology vs. pedagogy, the degree education vs. non-degree education, resource exclusivism vs. resource inclusivism, mono-service system vs. multi-service system, and educational quality vs. economic profit. Finally, the paper puts forward some suggestions on the future development of cyber-education in China.

• Journal of the Korean Society of Clothing and Textiles
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• v.30 no.3 s.151
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• pp.487-496
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• 2006

This study examined the pedagogical approaches on the development of creativity in fashion design education for the 21 st century. In this paper, the concept of the creativity was analyzed with the purpose of devising detailed educational methods by investigating into cognitive and pedagogical natures of the constituents of creativity. One of the most crucial aspects of the creativity is problem solving capability and it was reviewed how creative problem solving capability is applied to the areas of arts and designs. This study particularly explored the specific roles intuition plays in the development of creativity. Insights are very important in enhancing and maintaining creativity and it was shown that intuition can stimulate and reinforce the insights. Also it was suggested was that the development stages of intuition are consistent with the development sequences of creativity in arts and designs. Recommendations for further studies were included.