• Communications of Mathematical Education
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• v.37 no.1
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• pp.65-84
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• 2023

The method of Lagrange multipliers, one of the most fundamental algorithms for solving equality constrained optimization problems, has been widely used in basic mathematics for artificial intelligence (AI), linear algebra, optimization theory, and control theory. This method is an important tool that connects calculus and linear algebra. It is actively used in artificial intelligence algorithms including principal component analysis (PCA). Therefore, it is desired that instructors motivate students who first encounter this method in college calculus. In this paper, we provide an integrated perspective for instructors to teach the method of Lagrange multipliers effectively. First, we provide visualization materials and Python-based code, helping to understand the principle of this method. Second, we give a full explanation on the relation between Lagrange multiplier and eigenvalues of a matrix. Third, we give the proof of the first-order optimality condition, which is a fundamental of the method of Lagrange multipliers, and briefly introduce the generalized version of it in optimization. Finally, we give an example of PCA analysis on a real data. These materials can be utilized in class for teaching of the method of Lagrange multipliers.

• The Korean Journal of Woman Psychology
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• v.13 no.3
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• pp.263-282
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• 2008

This study examined the mediating role of collective self-esteem in the relationship between personal self-esteem and career aspiration, and the mediating effects of personal self-esteem and collective self-esteem on the link between social support and career aspiration. Also, This study explored whether the development of career aspiration differs by gender. A total of 316 undergraduate students(155 male and 161 female) completed measures of social support, personal self-esteem, collective self-esteem and career aspiration. Structural equation modeling results provided support for the mediating effects of personal self-esteem and collective self-esteem, In addition, the relationship model differed by gender. The results showed that the full mediation model fit of collective self-esteem in the relationship between individual self-esteem and career aspiration was better than the partial mediation model fit. Next, in the relation of social support and career aspiration, the partial mediating effect of individual self-esteem and collective self esteem was significant. Lastly, when the model of social support, individual self-esteem, and collective self-esteem, and career aspiration was tested to examine gender differences, the relations among these variables were found to be different according to gender-difference. These results suggest that evaluations and perceptions on the individual's social group as well as the individual influedced to career aspiration, interacting with the environmental factors. Also, the gender-difference of relationship model indicates that it might be different from men and women in psychological mechanism in the career aspiration formation.

• The Journal of the Convergence on Culture Technology
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• v.9 no.5
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• pp.319-327
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• 2023

As the basic approach of national curriculum shifted from contents-based to competency-based, process-fortified assessment has been stressed. Accordingly, the focus of teacher's role as an evaluator changed to process-fortified assessment, which emphasizes the development of process-fortified assessment competency of pre-service teachers as well. This study aims to explore the effects of innovations of teacher development programs on pre-service teachers' process-fortified assessment competency. To achieve this goal, C University of Education implemented a course which was restructured by using PBL, and analyzed its effects on enrolled pre-service teachers in terms of process-fortified assessment. By systematically analyzing data of observation notes, project outputs, and opinion reports, it was found that PBL approach to the course restructuring had positive impacts on pre-service teachers' awareness and understanding about process-fortified assessment. This implies that providing learning experience reflected by process-fortified assessment perspective, like PBL, can play an important role to the development of process-fortified assessment competency of pre-service teachers. The results of this study are expected to be able to provide methods of innovating curriculum and instruction for developing process-fortified assessment competencies of teacher development institutions.

• Journal of Korean Elementary Science Education
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• v.42 no.4
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• pp.497-512
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• 2023

While scientific explanation is a fundamental component of science, teachers often lack familiarity with the formal structure of scientific explanations and the criteria for assessing their quality. Consequently, this study aims to clarify the concept of scientific explanation and proposes a tool for constructing scientific explanations. The primary objective is to explore the tool's impact on enhancing the explanatory skills of pre-service teachers when it comes to the phenomenon of condensation. The research findings indicate that many pre-service teachers initially operated at a description level during the pre-test. However, the implementation of the tool enabled them to advance their explanatory skills beyond the associative level. Notably, the tool was analyzed for its ability to provide pre-service teachers with a conceptual framework for explaining phenomena and guiding logical explanations and micro-level interpretations. This study holds significance in demonstrating that pre-service teachers can comprehend the formalities and criteria of scientific explanations and apply them to enhance their own explanatory abilities. Moving forward, efforts should be made to enhance the scientific explanation level among pre-service teachers across various topics and subject areas. Furthermore, pre-service teachers need classroom experiences that foster the construction of scientific explanations in authentic contexts.

• Journal of Korean Elementary Science Education
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• v.43 no.2
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• pp.233-251
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• 2024

Meaningful learning occurs through an active process of engaging with the content in a lively interaction between teacher and student. In this study, we explored teachers' learning, challenges, and changes as they learned and practiced responsive teaching (RT), a practice that supports students to put their ideas at the center of their lessons. As a result, we found that teachers initially embraced RT from different perspectives and struggled to implement it in ways they understood. We then explored RT more deeply by focusing on the case of a teacher who was teaching science herself, and found that her experience was both rewarding and confusing. However, by the end of the learning process, the teachers were able to define RT in their own ways, which strengthened their commitment to implementing RT in elementary science education. Based on this teacher learning process, it was suggested that teachers should be viewed as curriculum experts, that they should learn and explore collaboratively through a community of teachers, and that they should be researchers who continue to explore various practices in the field.

• Journal of Industrial Convergence
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• v.22 no.3
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• pp.51-65
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• 2024

This study aims to understand positive changes in balance and gait function and difficulties in the instructor's guidance process through repetitive basic motor skill-based physical activities targeting people with cerebellar ataxia. For this purpose, five adults with cerebellar ataxia were selected as research subjects, and their three instructors participated as research participants. To collect quantitative data, the average and standard deviation were examined through pre-and post-evaluation of the research participants' physical activity classes for 16 weeks. The mean and standard deviation of the collected data were calculated using the Shapiro-Wilk test in the SAS 9.1 statistical program (p<.05). As a qualitative data collection method, the cultural description method of developmental research(DSR) proposed by Spradley(1980) was adopted, and the collected data were analyzed inductively according to the analysis method of Mertens(1990). Through this, 31 concepts, 10 subcategories, and 4 categories were discovered. As a result, the difficulties experienced by the research participants included insufficient guidance environment, dissatisfaction of consumers, difficulty in guidance, and non-cooperation of colleagues. Based on these research results, it was found that institutional, legal, and policy support should be provided not only to public institutions but also to private physical activity institutions that can use vouchers in order to maintain the balance of adults with cerebellar ataxia as well as to guide their physical activities.

• Journal of the Korean Society of Earth Science Education
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• v.17 no.1
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• pp.34-48
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• 2024

With the global rise in interest in competency-based education, the Ministry of Education of the Republic of Korea outlined six core competencies in the 2015 revised curriculum, essential for future society's 'creative and convergent talent'. This study introduces an HTE-STEAM constellation education program designed to develop the core competencies outlined in the 2015 revised curriculum and address the limitations of hands-on astronomy education. The program's effectiveness was assessed through a pilot test. The program was implemented at G Library, an out-of-school education site in Cheongju-si, Chungcheongbuk-do, targeting students from 3rd to 6th grade. The study's results include: First, the HTE-STEAM program significantly impacted all aspects of the STEAM attitude test except for 'self-concept', particularly influencing 'science and engineering career choice', 'consideration', and 'communication'. Thus, it has led to positive outcomes in the cultivation of future society's core competencies, including 'creative thinking skills', 'communication skills', and 'community skills'. Secondly, the HTE-STEAM constellation education program, despite covering the challenging concept of spacetime, was deemed easy by many students. Observations of students applying the spatial concepts they learned by using teaching aids suggest that the program was effective in enhancing students' understanding of the spatial structure of the sky and the universe. Additionally, this program aligns with the 2022 curriculum's updated standards for understanding the sky's spatial structure. Consequently, the HTE-STEAM constellation education program positively cultivates future society's core competencies and serves as a valuable complement to night observation practices in schools.

• Journal of The Korean Association For Science Education
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• v.29 no.1
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• pp.22-42
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• 2009

The purpose of the case study is to understand changes in the teaching practices of two secondary science teachers during the span of their careers. To investigate changes in teaching practices, this study focuses on changes in the science teachers' practical principles based on Elbaz's practical knowledge. The biographical approach was adopted because teachers' voices are a valuable source to understand their professional development. In-depth interviews and classroom observations were conducted for two science teachers with seven years' and ten years' teaching experience. The major findings are as follows: First, participants' teaching practices changed through interaction with three factors, critical experiences that have stirred changes in teaching practice, teacher's reflection on teaching, and various experiences to make specific teaching practice changes. Second, three different change aspects of practical principles were revealed; reinforcement of existing practical principles, replacing old practical principles with new one, and generation of new practical principles.

• Journal of The Korean Association For Science Education
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• v.27 no.9
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• pp.765-777
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• 2007

Investigations into how the status of prior learning on the textbook of science were conducted, and the effects of prior learning on students' attitudes towards science class were carried out. The investigations for the status of prior learning were performed with a number of students who experienced prior learning, (self-directed and unself-directed prior learning), a selfless intention as the starting motive for prior learning, the problem solving strategies used by students in prior learning, and the important factor that influenced prior learning. The effects of prior learning on student attitude towards science class were also examined with respect to four categories, including confidence, interest, learning intention, and value (effect). The effects of prior learning on the four categories were analyzed on the basis of the students' level of scientific achievement, the types of prior learning, the starting motive for prior learning, and the extent of the students' understanding of the content on prior learning. The analytical results for the effects of prior learning on students' attitudes towards science class showed that the mean values of confidence, learning intention, and value among the students in the self-directed prior learning group were higher than those of the students in the unself-directed prior learning group. These findings are the result of positive recognition, such as the possibility that the students experienced with self-directed prior learning can do, the induction of an inherent motive based on their level of achievement in science class, and the operant learning of strategies for solving problems in science class. Meanwhile, by the effects of having a teacher lead the science class and the consensus formed between friends, the mean level of interest was higher in the unself-directed prior learning than in the self-directed prior learning.

• Journal of the Korean Society of School Health
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• v.5 no.1
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• pp.36-63
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• 1992

The purpose of this study was development of school health education curriculum in primary school based on analysis of the textbooks published in 1991. 1) The health education curriculum in primary school consisted of four major components such as health education aspects of the healthful school environments, health education aspects of school health services, health education course, and health instruction in related subjects. However, health instruction taught by physical education, biology, and other health related subjects was not systematic organization for health care. 2) A considerable amount of health knowledge and attitude, and some health practices was learned as the result of experiences in other courses, where there was little or no reference to health. It must be developed health edcation course separated from health related subjects. 3) Direct health insruction was represented by the health education course. The health education courses must be considered to be heart of the school health education curriculum. 4) The health education course developed by this study was consisted of eight health units and problems in the early elementary grade or health classes in the higher years. 5) The health education course developed by this study provided the opportunity for acquring new knowledge, attitude, and practice, for discarding the unhealtful attitude and strengthening the healthful attitude and practices of primary school students.