• School Mathematics
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• v.17 no.2
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• pp.179-202
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• 2015

In this research, I explored how to apply the history of mathematics in teacher education and investigated the applicability of Chosun Sanhak (mathematics of Chosun Dynasty) as the program that enriched the mathematical knowledge for teaching of prospective elementary school teachers. This program included not only mathematical knowledge but also socio-cultural knowledge and connection knowledge. Prospective teachers participated in various mathematical activities such as explaining, reasoning and problem solving in this program. The effects of this program are as follows. Prospective teachers learned the subject matter knowledge(SMK) which was helpful in teaching basic concepts and skills of elementary mathematics. Next, this program produced the pedagogical content knowledge(PCK) to prospective teachers by giving ideas how to teach.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.1
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• pp.39-65
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• 2013

This study intended to draw some suggests for the development of mathematics teachers' expertise through the comparison research of pre-service and in-service teachers' PCK about questioning in elementary mathematics class. For this purpose, questionnaire survey was conducted to some pre-service and in-service teachers about the PCK concerning the way how questioning during mathematics class. This survey revealed the following implications. First, from the perspective of mathematics classroom, it is still more important the practical knowledge about how to teach which is evolutionally developed passing through the experience and currier of teaching than theoretical knowledge itself. Comparing the teachers' PCK about the two related knowledge types of mathematics contents, in case of procedural knowledge related PCK it was more asked of teachers' expertise than the case of conceptual knowledge related PCK. Thirdly, in case of learners' incorrect answer, for the desirable teaching it should be a questioning focused on whether there being or not the systematic among the learners' incorrect answer, and in case of appreciating the learners' understanding about the presently taught contents the questioning should be constructed considering the relevant contents early learned.

• School Mathematics
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• v.11 no.1
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• pp.111-129
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• 2009

This paper is about didactical transposition, which is to transpose academic knowledge into practical knowledge intended to teach. The research questions are addressed as follows. 1. Are the 13 mathematics textbooks of the 10-Na level indisputable regarding with the didactical transposition, in terms that the order of arrangement and the way of explaining the knowledge of trigonometric functions being analyzed and that its logical construction and students' understandings are considered? 2. Can some transpositions for easier use of didactical manipulative, for more practical and for more principle based be proposed? To answer these questions, this research examined previous studies of mathematics education, specifically the organization of the textbook and the trigonometric functions, and also compared orders of arranging and ways of explaining trigonometric functions from the perspective of didactical transposition of 13 versions of the 10-Na level reorganized under the 7th curriculum. The paper investigated what lacks in the present textbook and sought a teaching guideline of trigonometric functions(especially about sector and graph, period, characters of trigonometric function, and sine rule).

• Communications of Mathematical Education
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• v.10
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• pp.43-58
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• 2000

교육의 질은 교사의 질에 의하여 크게 영향을 받는다고 볼 때, 수학교육의 질적 개선을 성공적으로 이끌기 위해서는 전문가로써의 자질을 갖춘 유능한 교사의 역할이 뒷받침되어야 할 것이다. 일반적으로 교사들이 갖추어야 할 지식을 크게 3가지로 나눈다면 교과의 내용에 관한 지식, 교수 방법에 관한 지식, 학생에 관한 지식으로 나누고 있다. 본고에서는 초등학교 수학 학습지도와 관련된 교과 교육학 및 교과 내용학에 관한 지식과 교사의 전문성을 개발할 수 있는 방안에 대해 개괄적으로 살펴본다.

• Proceedings of the Korean Society of Computer Information Conference
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• 2015.01a
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• pp.133-134
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• 2015

성공적인 SW 교육을 위해서는 학습자를 직접적으로 가르치는 교수자의 역량이 매우 중요하다. 중학교와 고등학교에는 SW와 관련된 정보 과목이 편성되어 있어 컴퓨터교육을 전공한 교사들이 교육을 계속적으로 진행하기 때문에 정보 과목에 대한 교수내용지식을 계속해서 계발할 수 있지만 초등교사들은 이러한 기회를 가지지 못한채 SW 교육을 진행할 가능성이 높다. 본 연구에서는 초등학생에게 효과적으로 SW 관련 내용을 교육하기 위한 초등교사 교육 프로그램을 어떠한 형태로 설계해야 할지에 대해 논의하였다.

• 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.

• School Mathematics
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• v.13 no.2
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• pp.345-362
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• 2011

This paper addresses mathematics content knowledge required for teaching in secondary school. Three components of mathematical knowledge are needed for teaching: (i) knowing school mathematics, (ii) knowing process of school mathematics, (iii) making connections between school mathematics and advanced mathematics. We investigated mathematics content knowledge of secondary teachers. We found that secondary mathematics teachers have a lack of understanding in solving realistic problem, reasoning and proof, and making connections between school mathematics and advanced mathematics.

• Journal of Korean Home Economics Education Association
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• v.19 no.3
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• pp.149-168
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• 2007

The purpose of this study was to analyze the home economics education items in the teacher recruitment examination for secondary school. To achieve the purpose, all the home economics education items, which were carried out for seven times from the school year 2001 to the most recent year 2007, were compared and analyzed. The form of items was analyzed by frequency and rate. Behavioral domain of items was analyzed by content analysis. In this study, some recommendations were suggested for the quality of home economics education items through discussion of science education and society education items, which were abstracted from the school year 2001 to the most recent year 2007. The results of this study were as follows. First, the score ratio of home economics education items was fluid as 20-30% from the school year 2001 to 2004 but it fixed as 30-35% since the school year 2005. In subcategory of home economics education, curriculum items accounted for highest ratio(43%). In the next thing, items of teaching-learning method(35%), evaluation(19%) and philosophy(3%) related to home economics education were followed in order. Second, the form of home economics education items was coexistent form of single item and subordinate item from the school year 2001 to 2004. But it was changed into form of single item by 100% since the school year 2005. Third, regarding the content of home economics education items, most of the curriculum items were related to the content of the 7th National Curriculum. Teaching-learning method items were taken mostly from model of teaching-learning. Evaluation items were taken mostly from performance assessment. Philosophy items related to home economics education were taken only from Habermas's three systems of action on the school year 2005. Fourth, about behavioral domain of home economics education items, most of the curriculum items were level of 'simple knowledge or memory'. Therefore, it was suggested that behavioral domain of curriculum items had to be changed into 'complex knowledge or comprehension and application'. The behavioral domain of teaching-learning method items and education evaluation items was mostly 'complex knowledge or comprehension and application'. However, to bettering the items it was suggested that the behavioral domain of them has to be changed 'comprehension' into more 'application'. Fifth, regarding the coverage of home economics education items, curriculum items were limited only superficial content of the 7th National Curriculum. Therefore, it was suggested that coverage of curriculum items had to be extended to theoretical content, which was philosophical background and various principles of curriculum. It was suggested that coverage of teaching-learning method items had to be extended to the content including various teaching-learning theories and the practical reasoning home economics instruction proved effective as home economics instruction recently. Evaluation items were taken mostly from performance assessment. Therefore, it was suggested that coverage of evaluation items had to be extended to analysis of evaluation result, item validity and reliability, and evaluator's philosophical perspective.

• Journal of the Korean Chemical Society
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• v.56 no.2
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• pp.274-289
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• 2012

The purposes of this study were to analyze instructional strategies of science teachers, science teachers' orientations toward science teaching by the reason which instructional strategies was used in middle school science classes, and the relations among PCK elements for suggesting a direction of improvement of PKC models. For this purpose, we selected three of middle school teachers as participants who had various teaching experience periods. Semi-structured interviews and classroom observations were gathered for data. From the data collected, we analyzed the type of instructional strategies of science teachers. On the base of these, we identified characteristics of the teachers' orientations toward teaching science. From the reason that instructional strategies was used, we could ascertain that knowledge of science curriculum and knowledge of students' learning which was component of PCK crucially affected instructional strategies of science teachers. Therefore we assured that analysis of practical instructional strategies of science teachers that showed through science instruction was the most effective method that could find out science teacher's orientation of teaching science internalized, and that knowledge of science curriculum and knowledge of students' learning was the basic component of PCK that formed instructional strategies of science teachers. On the basis of the result, a necessity for improvement of PCK models was presented.

• Journal of the Korean School Mathematics Society
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• v.13 no.1
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• pp.45-67
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• 2010

On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out several research as follows : 1) establishment of observation elements for selecting examples of good instruction between 2001 and 2002, 2) development of the standards on teaching evaluation between 2004 and 2006, and 3) investigation on the elements of Pedagogical Content Knowledge including Subject Matter Knowledge between 2007 and 2008. The purpose of development of mathematics teaching evaluation standards through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. Especially, the standards on mathematics teaching evaluation were developed based on the standards on general teaching evaluation. In this study, the standards were revised and modified by analyzing the results of those studies (namely, evaluation standards) focused on SMK. For this purpose, four domains such as the knowledge of curriculum reconstruction, knowledge of mathematical contents, methodological knowledge, mathematical value were new established based on the theories relevant to SMK and on the base of these four domains, standards or elements on teaching evaluation focused on SMK were reconstructed.