• East Asian mathematical journal
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• v.33 no.2
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• pp.177-197
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• 2017

The purpose of this study is to investigate and analyze the understandings of elementary pre-service teachers about 'estimation' in the elementary mathematics. Together with this analysis, we identify elementary pre-service teacher's Mathematical Pedagogical Contents Knowledge(MPCK), especially focusing to Subject Matter Knowledge(SMK). In order to this goals, we investigate contents relating to 'estimation' from $1^{st}$ curriculum to 2009 revised curriculum and compare 'rounding up', 'rounding off', 'rounding' in the elementary mathematics textbooks. As results of investigations, 'estimation' has been teaching at the 'Measurement' domain from $3^{rd}$ curriculum, but contexts of measuring weaken from $7^{th}$ curriculum. 'Rounding up(off)' is defined three types in the textbooks from $1^{st}$ to 2009 revised curriculum. And we examine elementary pre-service teachers through the questions on these 'estimation' contents. On the analysis of pre-service teacher's understanding relating MPCK, four themes is summarized as followings; the understanding of '0' in the 'rounding up', the cognitive gap between 'rounding up' and 'rounding off', the difference of percentage of correct answers according to types of question in the 'rounding up', and the difference between the definition of 'rounding up' and the definition of 'rounding'.

• Journal of Korean Elementary Science Education
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• v.29 no.3
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• pp.350-363
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• 2010

Recently there has been increasing emphasis on pedagogical content knowledge (PCK) for fostering science teachers' teaching professionalism that needs to be done from teacher training courses systematically. We investigated what were the PCK factors considered in planning instruction and the difficulties encountered in implementing it by pre-service teachers. In this study, 26 sophomores at an university of education in Gyeonggi province were asked to perform teaching demonstrations using scientific instruction models. They were also requested to write reflective journals and interview. Analyses of the results revealed that many pre-service teachers considered the teaching strategies such as the instruction organization and implementation when planning instruction. They had also regard to the learners' cognitive affective aspects, whereas the pre-knowledge of them was not properly considered. Especially, the curriculum and assessment were almost disregarded. Most of the difficulties encountered in planning instruction and implementing it were appeared in terms of the teaching strategies. For example, they had difficulties in considering the characteristics of each stage presented by the instruction models when planning instruction and implementing it. The frequencies of the difficulties in implementing experiment were especially higher than those of the other PCK factors. Educational implications of these findings are discussed.

• Journal of Engineering Education Research
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• v.19 no.3
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• pp.23-34
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• 2016

Teaching orientations represent teachers' general way of conceptualizing their teaching. The orientations are regarded as a very important factor in developing teachers' pedagogical content knowledge because they often guide their instructional decisions such as the selection of contents and teaching strategies, the use of curricula materials, and the evaluation of learning. Thus, understanding teachers' orientations can provide meaningful suggestions to understand their instructional approaches and furthermore to enhance the quality of engineering education in college. The research question for this present study was what kinds of teaching orientations engineering professors possessed in teaching engineering courses and how the orientations were represented in their teaching. Six engineering professors, particularly interested in instructional approaches, participated in the research. The data sources included in-depth interviews with individual professors, classroom observations with field notes, and related documents. In results, four teaching orientations toward engineering courses were identified: 1) expert knowledge in engineering, 2) engineering practice, 3) social practice, and 4) interdisciplinary design. Individual professors had between one to three different teaching orientations. Even though the professors had similar orientations but their instructional strategies somewhat varied based on the disciplines.

• Journal of Korean Elementary Science Education
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• v.39 no.1
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• pp.84-99
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• 2020

The purpose of this study is to develop a STEAM program using technological pedagogical and content knowledge (TPACK) model to effectively utilize technology to solve the difficulties in the teaching of 'structure and function of our body' unit in the primary science curriculum and to confirm the effect on the academic achievement, creative problem solving ability and scientific interests of elementary students. The program was developed as the STEAM program of the 8th class by utilizing the construction knowledge of the TPACK model. The developed program was applied to 29 experimental group students in 5th grade. And the textbook-oriented circulatory system learning program was applied to 29 5th graders in the same school. As a result of the application of the program, the experimental group showed significant improvement over the comparison group in its creative problem solving ability and scientific interests, and the satisfaction of the class was also high. This caused a positive effect on students because the process of self-directing information about the circulatory system using smart devices, making outputs creatively using 3D printers, and presenting them through role play using produced outputs.

• Journal of Digital Convergence
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• v.14 no.11
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• pp.1-12
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• 2016

Rapid growth of information and communication technology and changes in college student characteristics require for university instructors to diversify instructional improvement efforts. Technological Pedagogical Content Knowledge (TPACK) is a capacity that instructors need to build for making instructional design based on consolidated technology. Accordingly this study explores instructors' awareness of the importance and performance of TPACK and to inquire into their relationships with epistemological beliefs and social support as relevant factors through a survey carried out with 264 instructors. The study has shown that there is a significant difference between college instructors' awareness of the importance of TPACK and their awareness of its performance. Furthermore, it has shown that the awareness of importance and performance of TPACK is significantly related to the social support, and that among the sub-factors of the social support, significant influences are observed from the emotional support on their awareness of the importance of TPACK and from the informational support on their awareness of the performance of TPACK. These results provide fundamental data for measures to develop and support TPACK capacity of college instructors, suggesting that it requires a teaching support strategy to enhance social support for instructors above all things.

• Science of Emotion and Sensibility
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• v.15 no.1
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• pp.47-56
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• 2012

The purpose of this study is to test the effect of pedagogical agent realism and expertise on persona effect. There were two perspectives of the pedagogical agents' social interaction. Self-identification hypothesis argues that complexity of agent image is better to increase social interaction. Subjective identification insists that simplified image is more helpful to facilitate social interaction. However, from the cognitive load theory perspective, learners' expertise can be a major factor to determine persona effect. Sixty-eight college students (male=19 and female=49) participated. The independent variables were the degree of realism of pedagogical agent (detailed vs. simplified image) and the expertise (high prior knowledge group vs. low prior knowledge group). The dependant variables were comprehension test and the agent persona instrument (API). There was no significant difference in comprehension test score; however, there were significant interaction effect on the most constructs of API: 1) facilitating of learning, 2) credible, and 3) human-like. The follow-up analysis of simple main effect revealed that high expertise group showed significantly higher perception of the three construct with high realism of pedagogical agent. The results of study show that learners' expertise plays a key role of perception of persona effect.

• International Journal of Computer Science & Network Security
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• v.22 no.6
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• pp.374-381
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• 2022

The article identifies and theoretically substantiates the trends of national resilience in the context of establishing the security of the country and its civilizational subjectivity. The strategy of development of the pedagogical university in the conditions of European integration into the European educational and scientific space based on certain characterological features of the personality of the volunteer in the context of allocation of personal resilience is developed. The analysis of both external and internal challenges and threats to the civilization of the country needs to be understood in the context of economic, socio-political, legal, military-political, spiritual-cultural, educational-scientific and network-information resilience. The concepts of "national resilience" and "national security" are quite close - at first glance, even identical. However, a deeper understanding clarifies the differences: national security is a state of protection of the country identity and its very existence, the realization of its national interests. In turn, resilience is a fairly effective strategy and a fundamental guarantee of national security. At the same time, it is extremely important to understand that both national security as a state and national resilience as a strategy are only means of achieving and developing a strong and humanistic civilizational subjectivity of the country. After all, such subjectivity opens for citizens the opportunity for development, dignified self-realization and a proper life. The restructuring of the volunteer's motivational sphere is due to the dominance of such leading motives, which are focused mainly on maintaining and restoring health, which leads to distorted meaningful life goals: isolation, alienation, passivity, inertia, reduced activity, limited communication, etc. The characteristics of relatively stable human behavior include several primary and secondary properties. The primary (relevant) properties include patience, trust, hope, faith, confidence, determination, perseverance, and love; the secondary - punctuality, neatness, obedience, honesty, loyalty, justice, diligence, thrift, accuracy, conscientiousness, obligation, etc. The restructuring of the volunteer's motivational sphere is due to the dominance of such leading motives, which are focused mainly on maintaining and restoring health, which leads to distorted meaningful life goals: isolation, alienation, passivity, inertia, reduced activity, limited communication, etc. The characteristics of relatively stable human behavior include several primary and secondary properties. The primary (relevant) properties include patience, trust, hope, faith, confidence, determination, perseverance, and love; the secondary - punctuality, neatness, obedience, honesty, loyalty, justice, diligence, thrift, accuracy, conscientiousness, obligation, etc. The use of information and communication technologies in volunteering will contribute to the formation of resilience traits in the structure of personality formation. Directly to the personal traits of resilience should be included methodological competencies, which include methodological knowledge, skills and abilities (ability to define ultimate and intermediate goals, plan, conduct and analyze knowledge, establish and implement interdisciplinary links with disciplines of medical-psychological-pedagogical cycles, etc.). All these competencies form the professional resilience of the volunteer.

• International Journal of Computer Science & Network Security
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• v.22 no.12
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• pp.63-70
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• 2022

The essence of the definition of "tolerance" is analyzed. Motivational, knowledge and behavioral criteria for tolerance of future teachers are highlighted. Indicators of the motivational criterion are the formation of value orientations, motivational orientation, and the development of empathy. Originality and productivity of thoughts and judgments, tact of dialogue, pedagogical ethics and tact are confirmed as indicators of the knowledge criterion. The behavioral criterion includes social activity as a life position, emotional and volitional endurance, and self-control of one's own position. The formation of tolerance is influenced by a number of factors: the social environment, the information society, existing stereotypes and ideas in society, the system of education and relationships between people, and the system of values. The main factors that contribute to the education of tolerance in future teachers are highlighted. Analyzing the structure of tolerance, it is necessary to distinguish the following functions of tolerance: - motivational (determines the composition and strength of motivation for social activity and behavior, promotes the development of life experience, because it allows the individual to accept other points of view and vision of the solution; - informational (understanding the situation, the personality of another person); - regulatory (tolerance has a close connection with the strong - willed qualities of a person: endurance, selfcontrol, self-regulation, which were formed in the process of Education); - adaptive (allows the individual to develop in the process of joint activity a positive, emotional, stable attitude to the activity itself, which the individual carries out, to the object and subject of joint relations). The implementation of pedagogical functions in the information society: educational, organizational, predictive, informational, communicative, controlling, etc. provides grounds to consider pedagogical tolerance as an integrative personal quality of a representative of any profession in the field of "person-person". The positions that should become conditions for the formation of tolerance of the future teacher in the information society are listed.

• 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 Educational Research in Mathematics
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• v.22 no.4
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• pp.495-515
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• 2012

This study is to diversely analyze teachers' Pedagogical Content Knowledge (PCK) regarding to the area of plane figures and discuss the consideration for the materialization of the effective class in learning the area of plane figures by identifying the improvements based on problems indicated in PCK. The subjects of inquiry are what the problems with teachers' PCK regarding to the area of plane figures are and how they can be improved. In which is the first domain of PCK, teachers need to fully understand the concept of the area and the properties and classification of the area and length, recognized the sequence structure as a subject of guidance and improve the direction which naturally connects the flow of measurement by using random units in guidance of the area. In which is the second domain of PCK, teachers need to establish understanding of the concept for the area and understanding of a formula as a subject matter object and improve the activity, discovery and research oriented class for students as a guidance method by escaping from teacher oriented expository class and calculation oriented repetitive learning. They also need to avoid the biased evaluation of using a formula and evenly evaluate whether students understand the concept of the area as a performance evaluation method. In which is the third domain of PCK, teachers need to fully understand the concept of the area rather than explanation oriented correction and fundamentally teach students about errors by suggesting the activity to explore the properties of the area and length. They also need to plan a method to reflect student's affective aspects besides a compliment and encouragement and apply this method to the class. In which is the fourth domain of PCK, teachers need to increase the use of random units by having an independent consciousness about textbooks and supplementing the activity of textbooks and restructure textbooks by suggesting problematic situations in a real life and teaching the sequence structure. Also, class groups will need to be divided into an entire group, individual group, partner group and normal group.