• Journal of Educational Research in Mathematics
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• v.24 no.3
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• pp.311-331
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• 2014

For preservice teachers' instrumental-to-relational pedagogical content knowledge transformations, this research designed several didactical tasks based on Kinach's cognitive strategies. The researcher identified preservice teachers' understanding about what is a definition and how to teach it. By challenging their fixed ideas about definitions, the researcher could motivate them to embrace the new teaching approach which guides reinvention of definitions. The PCK development was not the simple process of filling their tabular rasa PCK with theories of mathematics education, but the dialectical process of identifying, challenging, changing and extending preservice teachers' existent PCK. This research will contribute to explore new directions of mathematics teachers' PCK development and the method of teacher education.

• 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.

• Journal of The Korean Association For Science Education
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• v.40 no.5
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• pp.565-582
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• 2020

The purpose of this study is to investigate middle school science teachers' pedagogical content knowledge for science practice-based instruction developed by five middle school science teachers in a teacher learning community. Science teachers in this study collaborated to examine lesson plans and reflect on teaching practice and collaboratively analyzed science curriculum, discussed video-recordings of teaching practice, and discussed to design detailed and elaborated lesson plans. Data collection consisted of pre and post questionnaire and interview, audio-recording of teacher discussion in a teacher learning community for one year, lesson plans, teacher written reflection, and video-recording of teaching practice. Data analysis reveals that science teachers developed pedagogical content knowledge for science practice-based instruction that consists of eleven sub-components of knowledge of science curriculum for science practice, knowledge of science practice-based instructional strategy, knowledge of students' science practice-based learning, and knowledge of science practice-based learning assessment. Science teachers in this study developed highly structured pedagogical content knowledge for science practice-based instruction.

• 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.21 no.4
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• pp.801-828
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• 2011

In this study, we analyzed the characteristics of Pedagogical Content knowledge(PCK)'s components through actual course of teachers of science gifted students in the middle school. For this study, four middle school science teachers of gifted students belonging to the gifted education professional organizations in a metropolis were selected, each of them was physics, chemistry, biology, and earth science teacher. Two of them were full-time teachers to teach only gifted students and two were part-time teachers who had taught general students in ordinary time and specially had taught the gifted students once a week. Qualitative data were collected through classroom observations, interviews, and documents. As a result, some unique characteristics of PCK's components were identified. The teachers' orientations to teaching science were closely correlated with PCK's components. The teachers' knowledges of science curriculum were different individually. But the decisions about type of teaching(acceleration or enrichment) were connected with the objectives of gifted education and lesson objectives. Also, the teachers' knowledges of science curriculum were influenced by the knowledge of students' understanding. Teachers used different instructional strategies according to the knowledge of science curriculum and the knowledge of students' understanding. We found that PCK's components were so closely connected and could show the direction of relationships among those PCK's components. We suggested teachers' PCK model which was named "Tetrahedron Model of PCK", to explain the characteristics and relationships of PCK's components.

• Journal of the Korean School Mathematics Society
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• v.15 no.1
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• pp.27-51
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• 2012

This paper analyzed the pedagogical content knowledge (PCK) presented in three novice teachers' mathematics instruction. PCK was analyzed in terms of the knowledge of mathematics content, the knowledge of students' understanding, and the knowledge of teaching methods. Teacher A executed a concept-oriented instruction with manipulative materials because she had difficulties in learning mathematics during her childhood. Teacher B attempted to implement an inquiry-centered instruction in the lesson of looking for the area of a trapezoid. Teacher C focused on the real-life connection to mathematics instruction. There were substantial differences among the teachers' PCK revealed in mathematics teaching, depending on their instructional goals. The detailed analyses of three teachers' teaching in terms of their PCK will give rise to the issues and suggestions of professional development for beginning elementary school teachers in mathematics teaching.

• Journal of The Korean Association For Science Education
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• v.31 no.5
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• pp.663-679
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• 2011

This case study focused on three science teachers who participated in the Research Experience for Teachers (RET) program conducted by the Center for Bridging Advanced Science and Education (CBASE). The RET program provides opportunities for participants to experience experimentations in a science laboratory for six months, enabling teachers develop teaching materials based on their experience from the RET program. The purpose of this study was to explore how the teachers had developed their professionalism through participation in the program and which factors promoted the professional development of science teachers. In this research, we defined pedagogical content knowledge (PCK) as the required knowledge for teachers to develop for their professional development. As a result of the RET program, all three participants showed integration of PCK elements: orientation to teaching science, knowledge of science, knowledge of students, knowledge of teaching, and knowledge of sources. The PCK elements which had been developed by the RET program were applied in school context and the teachers' belief became clear and strong. The teachers were able to understand the process of authentic science as they learned it from 'legitimate peripheral participation' in the authentic research context. They also showed dynamic integration between newly established elements of PCK by reflecting on the school context while developing the teaching materials. The professional development of each teacher was different depending on the purpose and PCK, which participants had already possess. This study will provide meaningful implication for the development of professional development program for science teachers based on research experience.

• Journal of Korean Elementary Science Education
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• v.41 no.4
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• pp.690-700
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• 2022

This study aimed to compare academic passion for science pedagogical content knowledge (PCK) between pre-service and in-service elementary teachers. In addition, a comparison between passion for science subject matter knowledge and passion for science pedagogical knowledge was made for each group of teachers. Participants comprised 182 students from colleges of education and 161 in-service teachers. We analyzed between- and within-subject comparisons for each component of academic passion for science PCK. The results of this study are as follows: First, between-subject comparison demonstrated that, in academic passion for science subject matter knowledge, in-service teachers had a higher passion for "liking" and "importance" than pre-service teachers, whereas pre-service teachers had a higher passion for "time/energy investment" than in-service teachers. In academic passion for science pedagogical knowledge, pre-service teachers had a higher passion for "time/energy investment" than in-service teachers. Second, the within-subject comparison showed that only "harmonious passion" was higher for science pedagogical knowledge than science subject matter knowledge in pre-service teachers. However, "liking", "importance", "time/energy investment", and "obsessive passion" were higher for science subject matter knowledge than science pedagogical knowledge in in-service teachers. The educational implications are discussed.

• Journal of The Korean Association For Science Education
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• v.31 no.4
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• pp.621-640
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• 2011

The purposes of this study were to analyze the PCK of pre-service chemistry teachers and to know the changes of in PCK before and after the educational practice. For this study, four pre-service teachers majoring in chemistry education were selected as proteges and one professor of chemistry education department participated as a mentor. For the analysis of pre-service teachers' PCK, proteges' instructions, mentoring process, and semi-constructed interviews were collected. According to the results, most of the elements of the PCK were lack of proteges' instructions before the mentoring, because they didn't know the necessary practical knowledge for instructions. They also didn't know how they could apply their knowledge to the instructions. However, most of the pre-service teachers developed their PCK through the mentoring. This study shows that pre-service teacher's PCK could develop effectively by well-formed programs of mentoring before and after the educational practice in college education for pre-service teachers.

• Journal of The Korean Association For Science Education
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• v.30 no.4
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• pp.437-451
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• 2010

The purpose of this study was to analyse beginning science teachers' PCK. For the purpose of this study, two beginning science teachers were chosen in public middle school. Qualitative data were collected through classroom observation recording, semi-structured interviews, and other document data. Data were analysed using the constant comparative method. The results indicated that the two beginning science teachers' PCK had little differences; both have insufficient knowledge of science curriculum and assessment, and their PCK had quite differences in the instructional strategies and the orientations toward teaching science. Though they were aware of students' various levels, their common teaching method focused on delivery of science text knowledge for poor understanding about student. In conclusion, the two beginning teachers' PCK were still similar with preservice teachers. To develop beginning teachers' PCK, it needs to change the paradigm of pre-service teachers education program and to expand in-service teachers training and supporting program.