• 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.

• The Mathematical Education
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• v.43 no.3
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• pp.257-273
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• 2004

In this paper, we analyze what the components of mathematics teacher` knowledge are, and find that mathematics teacher need knowledge of three areas: subject matter knowledge, pedagogical knowledge, and pedagogical content knowledge. Studies of practicing teachers suggest that When teachers lack understanding in their respective disciplines, it inhibits them from providing students the best learning opportunities, but that a teacher possessing pedagogical content knowledge provides learners with multiple approaches into learning. Some teachers having sound knowledge of mathematics and students were able to respond appropriately to students' questions, design appropriate learning activities involving a variety of mathematical representations, and orchestrate mathematical discourse in the classroom. Thus, it appears that mathematics teachers' knowledge positively affect teaching and student learning..

• School Mathematics
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• v.14 no.2
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• pp.255-274
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• 2012

The purpose of this study was to investigate the responses of pre-service elementary school teachers to the task that require to apply mathematics knowledge for teaching and from this investigation to draw some conclusions about teacher education. To do the study, task was to develop teaching materials and devise lesson plan for introducing the concept of plain figure 'kite'. For gathering data, 77 pre-service elementary school teachers were selected from the University of Education located in G city. Several conclusions were drawn as follow: first, task for applying MKT is needed to check whether pre-service teachers can apply. Second, assessment is needed to check what kind of MKT do pre-service elementary school teachers have.

• Journal of the Korean School Mathematics Society
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• v.17 no.2
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• pp.251-274
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• 2014

The purpose of this study is to analyze characteristics of PCK before class, investigate how these characteristics are enacted in classrooms when beginning and experienced teachers teach mathematical functions, and provide pedagogical implications. Two beginning teachers and two experienced teachers participated in the study. In order to analyze characteristics of PCK before class, interviews and survey research were conducted. An investigation of classroom discourse was used to examine how the PCK characteristics appear in classrooms. Results show that experiences teachers enacted their PCK about learner, curriculum, teaching methods, and teaching environment in classrooms, whereas beginning teachers could not show their PCK. These results suggest practical implications for the developments of teacher education curriculum and teacher training program.

• Journal of the Korean School Mathematics Society
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• v.23 no.2
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• pp.203-222
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• 2020

Because the role of the teacher is important for the education to actualize the goals of the curriculum, the interest about the teacher's knowledges has been addressed as an important research topic. Among them, the pedagogical content knowledge is the knowledge that can emphasize the professionalism of the teacher. In this study, I analyzed the elementary pre-service teachers' the problem solving strategies that they imagined the methods that elementary school students can think about fraction division. Pre-service teachers who participated in this study were completed all of the mathematics education courses in the pre-service teachers' education courses. The research was conducted using the four type-problems of fraction division. The results showed that elementary pre-service teachers responded in the order of equal sharing problem-measurement division-partitive division-context of determination of a unit rate problem. They presented significant responses not only with typical algorithms but also with pictures or expressions. On the basis of this research, we have to take an interest in the necessity of sharing and recognizing various methods of fraction division in pre-service teachers education.

• Journal of the Korean association of regional geographers
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• v.7 no.1
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• pp.51-66
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• 2001

The curriculum of integrated social studies is not conceptually established, but various forms pursuing so-called perfect integrated subject have appeared from elementary school to high school. But we cannot find out desirable integration in the elementary school though the apparent goal is to integrate all kinds of social concepts into one unit. The current method of integration has some problems over advantages people initially expected by integration. It is problematic in that students learn fragmental knowledges of geography without capturing the whole geographical concept structure or obtaining their own geographical viewpoint. Therefore, we purpose to reinterpret integration of social studies and reorganize the current textbook into the right direction under the assumption that simple mixture of knowledges is far from our goal of true integration. For this purpose, we suggest a new method for social studies as an integrated subject. Instead of providing knowledges unrelated to each other into one bundle, it helps students to see the real world in his own knowledge framework equipped with geographical viewpoint. The text we claim will show students that geography consists of three key concepts: physical environment, man and environment, and spatial structure. With this text, they will have an easy access to the relationships between key concepts and details, and between geographical concepts and similar concepts from other disciplines. The proposal contributes to both upcoming textbook development and classroom teaching by eliminating problems in the current social studies teaching.

• Proceedings of the Korean Society of Computer Information Conference
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• 2022.07a
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• pp.385-386
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• 2022

2015 개정 교육과정에서는 미래 사회의 인재를 육성하기 위해 중학교에 정보 교과를 필수화하였다. 이를 지도할 정보·컴퓨터 교사를 확보하기 위해 비 정보과 교사를 대상으로 부전공연수를 실시하여 정보 교육을 할 수 있는 자격을 부여하고 있다. 이들은 일반 학습자와 다르게 교육학적 지식과 역량은 높으나, 내용 지식은 컴퓨터과학의 초보자 수준이다. 이러한 학습자의 특성을 고려하여 마이크로비트를 활용한 연수를 12차시 동안 진행하였고, 이는 비 정보과 교사의 프로그래밍 자아효능감에 긍정적인 영향을 준다는 것을 확인할 수 있었다. 그러나 본 연구는 단일집단에게 실험을 실시하였으므로 그 효과를 일반화하는 데 한계가 있다. 따라서 후속 연구에서는 비교 집단을 설정하는 실험 설계로 교육 효과를 검증할 필요가 있다.

• Communications of Mathematical Education
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• v.26 no.1
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• pp.137-154
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• 2012

Approximation' is one of central conceptions in calculus. A basic conception for explaining 'approximation' is 'tangent', and 'tangent' is a 'line' with special condition. In this study, we will study pedagogically these mathematical knowledge on the ground of a viewpoint on the teaching of secondary geometry, and in connection with these we will suggest the teaching program and the chief end for the probable teaching. For this, we will examine point, line, circle, straight line, tangent line, approximation, and drive meaningfully mathematical knowledge for algebraic operation through the process translating from the above into analytic geometry. And we will construct the stream line of mathematical knowledge for approximation from a view of modern mathematics. This study help mathematics teachers to promote the pedagogical content knowledge, and to provide the basis for development of teaching model guiding the mathematical knowledge. Moreover, this study help students to recognize that mathematics is a systematic discipline and school mathematics are activities constructed under a fixed purpose.

• 한국지구과학회:학술대회논문집
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• 2010.04a
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• pp.22-22
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• 2010

우리들은 초 중등교육을 통해 암석의 종류와 특징, 지질형태와 퇴적구조, 그리고 화석에 대해 지속적으로 교육 받아왔다. 그러나 암석이나 노두를 보고 학교에서 배운 지식을 바르게 적용할 수 있는 학생은 매우 드물다. 또한 아름다운 경관을 보며 지질학적으로 형성과정을 해석할 수 있는 사람도 매우 드물 것이다. 여기서는 지질경관에 대한 정보를 어떻게 제공하고 있는가에 대한 연구 성과를 정리해보고 문제점을 도출하고자 한다. 현재까지 지질경관을 알려주는 연구 성과를 크게 나누면 3종류가 있다. 첫째, 지질학습장의 개발 및 활용에 관한 연구이다. 이 부류의 수집된 자료는 학위논문(29편)과 전문학술지(27편)로 현재 56편이나 검색에 따라 더 늘어날 것이다. 이들은 야외 노두에 대한 효과적인 지질학습을 위한 자료개발을 위주로 하고 있다. 이러한 내용들은 전문가 양성에는 대단히 좋은 프로그램이지만 청소년이나 일반대중들에게 너무 어려운 내용으로 구성되어 있다. 또한 교육청에서 주관하는 탐방계획으로 "경기도 지구과학교사 연구회"가 있는데, 주로 경기도 한탄강유역을 대상으로 하고 있다. 이 연구회 자료에서는 지역의 특성을 살린 야외지질학습장을 개발하고 현장에 적용하기 위한 노력을 볼 수가 있다. 두 번째로 과학전람회 자료로서 현장교사와 학생들의 야외학습에 대한 인식이 잘 나타나 있다. 수집된 자료는 총 55편으로 야외지질조사를 통해 관찰 자체에 중점을 두었는데, 최근에는 노두관찰에 덧붙여 탐구학습 태도와 창의성을 함양하는 쪽으로 옮겨가고 있다. 세 번째 자료는 일반대중을 위한 서적이다. 이 서적들은 저자들의 전공에 따라 그 내용이 다소 다르다. 즉 일반여행안내 책자는 노두나 암석은 소개하고 있으나 지질학적 설명이 전혀없으며(예, 남도해안 2000리), 지리학자들의 저술에는 지형의 형성을 지질학적으로 설명하려 애쓴 흔적이 보인다(예, 한국지리이야기). 다음으로 지구과학들의 저술은 전형적인 지질답사 안내서에 가까워 내용 자체는 좋으나 흥미가 다소 떨어진다(예, 가족이 함께 떠나는 지질여행, 제주도 지질여행). 지질학과 흥미를 적절히 혼합한 책으로 '우리 땅 과학 답사기'정도가 있다. 최근 한국암석학회에서는 "우리의 명산"을 지질과 경관의 관점에서 해석하려는 심포지엄을 2차례 가졌다. 그러나 그 내용면에서는 경관지질이라는 개념을 정립했다고 보기에는 다소 미흡 하나, 황상구 교수의 주왕산에 관한 내용은 앞으로 경관지질 연구에 대한 발전의 여지를 보여주었다. 앞으로 지질경관에 대하여 지질학적 야외답사나 과학지식 습득에 국한시키지 말고, 그 지역의 특성을 살린 관광 또는 민속과 연계하여 지구과학적 학습효과와 더불어 인성교육에 도움이 되는 학습 콘텐츠를 개발하도록 노력해야 할 것이다. 일반 대중이 우리나라의 빼어난 지질 경관을 손쉽게 이해하고 즐기게 되면, 세계자연유산이나 세계지질공원을 지정 받는 과정도 더 쉬워질 것이다.

• Journal of The Korean Association For Science Education
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• v.19 no.1
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• pp.41-61
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• 1999

In this study I defined the direction Integrated Science Education(ISE) should take. So that I groped for the direction ISE should take in the inherent nature of science and education, analyzing their respective validity from philosophical and psychological angles. Based upon these researches, I formulated the three directions for ISE to take; knowledge-centered, social problem-centered, and individual interest-centered. The results of this thesis may be summed up as follows: 1. The knowledge-centered ISE that thinks the inherent nature of science is in the scientific knowledge is based upon Hirst's integrated logic which is built on discipline-centered educational viewpoint. Now, the focus of interdisciplinary integration consists in clarifying the meanings of knowledge and the logical relations between one knowledge and another according to the respective form of exploration. The knowledge-centered ISE, therefore, was analyzed to find its justification in the educational philosophy of idealism, realism, neo-scholasticism; in the educational theories of essentialism, behaviorism, perennial ism; in the scientific philosophy of empiricism. positivism; in the educational psychology of developmental psychology and constructivism. 2. The social problem-centered ISE that thinks the inherent nature of science is the process of social concord is based upon Dewey's integrated logic which is built on experience-centered educational viewpoint. Now, the focus of interdisciplinary integration consists in the methodological aspect facilitating the process of experience. The social problem-centered ISE, therefore, was analyzed to find its theoretical justification in the educational philosophy of pragmatism; in the educational theory of progressivism; in the scientific philosophy of relativism and rationalism; and in the educational psychology of developmental psychology and constructivism. 3. The individual interest-centered ISE is based upon Patterson's integrated logic which is built on human-centered educational viewpoint. The focus of education here is self-realization. Therefore, rather than provide in learning conditions from outside, one is made to choose them oneself and the process of satisfying one's motive is emphasized. The individual interest-centered ISE, therefore, was analyzed to find its theoretical justification in the educational philosophy of existentialism; in the educational theory of humanism; in the scientific philosophy of relativism; and in Gestalt psychology.