• School Mathematics
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• v.13 no.1
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• pp.65-88
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• 2011

Epistemological development process of the Fundamental Theorem of Calculus is considered in a history of mathematical notions and the genetic process of the Fundamental Theorem is arranged by the order of geometric, algebraic and formalization steps. Based on this, we studied students' episte- mological obstacles and error and analyzed the content of textbooks related the Fundamental Theorem of Calculus. Then, We developed the "Folding Back Model" of the fundamental theorem of calculus for students to lead meaningful faithfully. The Folding Back Model consists of "the Framework of thou- ght"(figure V-1) and "the Model of genetic understanding of concept"(figure V-2). The framework of thought in the Folding Back Model is included steps of pedagogical intervention which is used "the Monitoring working questions"(table V-3) by the mathematics teacher. The Folding Back Model is applied the Pirie-Kieren Theory(1991), history of mathematical notions and students' epistemological obstacles to practical use of instructional design. The Folding Back Model will contribute the professional development of mathematics teachers and improvement of thinking skills of students when they learn the Fundamental Theorem of Calculus.

• International Journal of Computer Science & Network Security
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• v.22 no.9
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• pp.123-130
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• 2022

Modernization of the educational sector requires globalization, democratization, and the transition to an information technology society. The main goal of education at the present stage is to solve the problem of ensuring the priority of the development of education and science. In modern conditions, the quality of training of qualified specialists is becoming particularly relevant. The great role of teacher education is emphasized by its main goal, which is to train specialists who can ensure the versatile and innovative development of a person as a person and the highest value of society, its mental, physical and aesthetic abilities, high moral qualities, and, consequently, the enrichment on this basis of the intellectual, creative and cultural potential of the people. Among the strategic tasks of modernizing higher education is to ensure informatization of the educational process and access to International Information Systems. The essence of the concept of multimedia is clarified. In the context of media education, multimedia lists a number of functions: informational, interpretive, cultural, entertainment, and educational. The need to meet the needs outlined in the article in the conditions of informatization of the educational process requires the teacher to have knowledge and skills in the field of multimedia pedagogical technologies, knowledge of advanced methods and means of modern science. It is considered what relevant concepts of media education have been developed and are being developed in Ukraine and form an important basis for the modernization of education, which will contribute to the construction of an information society in the country and the formation of civil society. Distance learning is considered - the most democratic form of education that allows broad segments of society to get an education. Distance learning methods are used in higher education institutions, in school education, in the system of advanced training of teachers, in the system of training managerial personnel.

• Journal of vocational education research
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• v.36 no.2
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• pp.1-22
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• 2017

The purpose of this study was to examine how the vocational high school teachers perceive the direction of the ideal high school vocational education when suggesting mutual contrast positions on the desirable direction of high school vocational education. 1253 teachers from 25 specialization high schools nationwide participated in the survey. Through the review of previous research, we confirmed the axis of new vocationalism, vocationalism, and humanism on the purpose of vocational education. As a result of investigating the perception of vocational high school teachers about the purpose of vocational education, they tended to recognize the purpose of high vocational education toward vocationalism. In other words, rather than acquiring transferable skills, it is important to acquire concrete skills in specific areas, and it is more important to acquire specific skills that can be utilized immediately after graduation rather than coping with the changing job world. Teachers also recognized that it is more important to organize the contents of education according to the needs of industries and companies than to construct education contents for student 's holistic development. There was also a tendency for teachers to recognize that it is important to prepare them for work immediately after graduation rather than preparing them for as wide a career choice as possible. There was a tendency for the male teacher to perceive the purpose of vocational education more pro vocationalism than the female teacher. In addition, professional subject teachers recognized more pro vocationalism than general subject teachers. As a result of the regression analysis, it was found that gender and subject(professional subject vs. general subject) were significant variables related to vocationalism. And suggested that a careful approach is needed in the policy decision making process when considering the limitations of overly vocationally oriented education and the risks of frequent changes in the purpose and direction of high school vocational education.

• 대한공업교육학회지
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• v.42 no.2
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• pp.67-88
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• 2017

The purpose of this research was educational needs of experts for revitalizing youth entrepreneurship education and creating effective conditions for such education. The subjects of the survey were chosen 100 teachers who had participated in entrepreneurship-related professional training for teachers were selected and surveyed. A total of 100 questionnaires were collected, of which 92 (92.00%) were used for the analysis. Eight were excluded as they were not properly answered. As for the used survey tool, a total of 8 areas and 30 items were derived from the review of the literature, and the validity of the contents was examined through expert meetings. The data were analyzed using the SPSS (ver. 20.0) statistical program. The analysis was conducted in terms of the required competency level, perceived competency level and educational needs. As for the used analytical methods, first, the averages of the required competency level and perceived competency level were calculated and the education needs were calculated using Borich's formula, and then the averages were compared through paired t-test. The results turned out to be statistically significant (p<.000). The details are as follows: As a result of the calculation of the educational needs the educational needs in all areas turned out to be very high with the average being 4.94 points, which indicates that the teachers strongly feel the need for educational strengthening in relation to entrepreneurship. These results show that all the educational conditions such as entrepreneurship-related curriculum, teacher professionalism, educational environment, educational support and the perception among school community members are insufficient in the current school settings. For the improvement of the current status, the education conditions in the following areas should be improved: the cooperation from school community members including principals, teacher support such as an exclusive responsibility teacher system, the development of an entrepreneurship curriculum, the securing of teacher professionalism through the implementation of the curriculum, teacher training support for the enhancement of their professionalism and the provision of educational environment and facilities. For enhancing the perception of parents and society regarding entrepreneurship, it is necessary to establish the precise concept of entrepreneurship and promote it based on such work.

• Journal of the Korean earth science society
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• v.29 no.2
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• pp.204-217
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• 2008

This study analyzed the inquiry activities appearing in the astronomy sections of elementary, middle and highschool level science textbooks according to the five essential features of inquiry in the classroom as proposed by the National Science Education Standards (NRC, 2000), and SAPA (Science-A Process Approach). On the basis of this analysis, it is clear that the science textbook inquiry activities released the limitation to meet the goal of science education, namely scientific literacy, as it has been laid out by the 7th Science Educational Curriculum. This study revealed that the features of scientific inquiry which are most frequently used in the astronomy sections of science textbooks are 'data collection' and 'form explanation', whereas the features of 'oriented-question', 'evaluate explanations' and 'communicate and justify' rarely appeared. The analysis of inquiry activities by SAPA showed that the basic inquiry skills of 'observing', 'communicating' and 'manipulating materials' were used with increasing frequency according to grade level, and the integrated skills of 'investigating', 'creating models', 'interpreting data' and 'experimenting' were more emphasized in the textbooks. Therefore, it is suggested that students be provided with more opportunities to experience all the features of scientific inquiry and scientific processes as envisioned by the 7th Science Educational Curriculum in order to achieve the stated goal of scientific literacy. Science educators should be required to develop new lesson modules which will allow students to experience authentic scientific inquiry. It is crucial for science teachers to reflect upon and develop their understanding and teaching strategies regarding scientific inquiry through professional development programs in teacher education.

• Journal of Educational Research in Mathematics
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• v.16 no.1
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• pp.25-41
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• 2006

The purpose of this study was to analyze teachers' pedagogical content knowledge (PCK) about area of plane figure and how it was actualized in instruction. As an exploratory, qualitative, and comparative case study, 2 fifth-grade teachers were selected. Semi-structured interviews with the leachers were conducted in order to explore their PCK with regard to the area of plane figure. A total of 14 mathematics instructions were videotaped and transcribed. Teachers' PCK and classroom teaching practices were analyzed in detail into 3 categories: (a) knowledge of mathematics contents, (b) knowledge of students' understanding, and (c) knowledge of instructional methods. As such, this paper provided a detailed description on each teacher's PCK and her teaching practice. The results showed that teachers' PCK had a significant impact on instruction. The teacher who had rich knowledge about the area of plane figure was able to encourage students to understand the concept of area and to or explore the principles behind formula calculating various areas of plane geometry. The results demonstrated the importance of individual components of PCK as well as that of overall level of PCK. Different aspects of teaching practices were observed as to how the teachers had internalized PCK. On the basis of a close relationship between teachers' PCK and their teaching practice, this paper finally raised several implications for teachers' professional development for effective mathematics instruction.

• Journal of Gifted/Talented Education
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• v.24 no.5
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• pp.781-806
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• 2014

The purpose of this study is to examine the change in the beliefs of regular classroom teachers after participating in a gifted education lectures and practicum as well as the effectiveness of the lectures and practicum. Each teacher was asked to complete a pre-/ a mid-/ and post-journal, detailing their expected characteristics and then describing what occurred and how their initial expectations were altered. The teachers mentioned high thinking skills, creativity, fast problem solving skills, and a lack of communication skills as intellectual characteristics of gifted students and high motivation and task commitment as social characteristics. They mentioned the characteristics in textbooks on pre- and mid-journals, but presented their observations in post-journals such as lack of communication skills, competitive spirit, and frustrations. The study found that teachers broadened their view of giftedness, recognized the need to adapt instructions for gifted students, realized the necessity of knowing the students to differentiate instruction patterns, and emphasized teaching-learning strategies for the gifted. These results contribute to the promise of having regular classroom teachers engage in a field experience with gifted students to supplement discussions about gifted education lectures.

• The Journal of the Korea Contents Association
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• v.16 no.3
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• pp.607-616
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• 2016

The purpose of this study was to confirm how the students have responded to their class according to STEB (science teaching efficacy belief) of secondary science teacher in astronomy classes. Middle school teachers in charge of 'The Solar System' and 'The Exosphere and Space Development' in the 2009 Revision Science Curriculum content system is selected as an object of study through random sampling method. Twenty-nine teachers were taken STEB questionnaire and asked to make it out. Twenty-seven completed a questionnaire of them is selected for this study. In addition, the top and bottom 5% selected through frequency analysis with the total score from the questionnaire were regarded as high and low STEB teachers. For data collection, this study was used methods such as semi-structured interviews, recording, participant observation. The results were as follows: First, science teachers of high STEB had a high accessibility about excellent professional knowledge and content of the curriculum relating to astronomical field. Second, high STEB teachers were prepared by the appropriate teaching strategies adequate to student-centered learning, whereas the low STEB teachers totally have had teacher-centered learning. Third, high STEB teachers had been provided as the idea that you can take advantage of a variety of instruments, as well as scientific knowledge through the Astronomical Society. Therefore, confidence in astronomical class and teaching strategies through content of the curriculum were very important variables to predict the STEB as well as astronomy-related class activities such as astronomical observations.

• Journal of The Korean Association For Science Education
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• v.34 no.4
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• pp.393-406
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• 2014

Pedagogical Content Knowledge (PCK) is intrinsically domain/topic-specific knowledge for teachers' expertise. On the basis of this idea about PCK, we investigated in-service science teachers' topic-specific PCK on the unit of stars and universe in terms of teachers' knowledge and practices. We observed four middle school science teachers' classes for eighth graders, and took the videos of the classes. The topics of the classes covered constellation, annual parallax and the distance of stars, and the expansion of the universe. We also examined the teachers' pedagogical thinking through video stimulated recall interviews. In addition, we developed a protocol to analyze the levels of participant teachers' PCK and the characteristics revealed in their classes on each topic. Results of the study showed that the participant teachers' level of PCK varied across the topics of classes and the sub-components of PCK. We also identified teaching orientations played key roles in shaping overall characteristics of their PCK. Moreover, astronomical thinking such as spatial thinking and system thinking, was not appropriately embedded as the specific practices into the astronomical concepts in their instructions. We discussed the implications on the progressions of teachers' PCK in terms of their professional development.

• Journal of Korean Library and Information Science Society
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• v.50 no.1
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• pp.357-380
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• 2019

The purpose of this study is to analyze the Elementary and Secondary Education Act(ESEA) of the U.S. reauthorized by the Every Student Succeeds Act in 2015 from the viewpoint of the library and information services, and to derive implications for improving the library and information services. For the first time, ESEA includes effective school library programs and school librarians, and links school library programs and school librarians with literacy, digital literacy, books, resources, up-to-date materials, technology, library services and educational services. It provides a financial and institutional base for library and information services in elementary and secondary schools of the US to be more conducted. In addition, school librarians are required to participate in personalized learning experiences, evidence-based assessments, and professional development in the law, so school librarians must provide library and information services to students, staff, and parents in order to improve student achievement and digital literacy. Based on these analyses, this study discussed strengthening access to the school library, specifying the work of the teacher-librarian's library and information services, strengthening collaboration with school members, educational activities based on evidence base, sharing educational effects and developing of library and information curriculum.