• Research in Mathematical Education
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• v.23 no.1
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• pp.23-45
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• 2020

Many researches proposed different models and concepts for the PCK. It is important to understand its composition. Most studies investigated the development of PCK and its influence on students' learning from the teachers' perspectives. We developed an instrument for assessing middle school students' perceptions of mathematics teachers' PCK (SPOMTPCK) to investigate the nature of PCK. Theoretical claims and empirical research in PCK were used to design questions and sub-scales for the SPOMTPCK. The face validity of the instrument was established by the expert mathematics teachers and students. A questionnaire consisting of 38 items on a five-point Likert-type scale was used for data collection from 799 middle school students. The exploratory factor analyses resulted in the development of a three-factor scale of 17 items that was proved valid and reliable, that is, pedagogical representation, understanding students and curriculum, and encouraging students' engagement. The Cronbach α coefficients of the scale was 0.935, and the Cronbach α coefficient of three factors were ranged from 0.721 to 0.912. The confirmatory factor analysis showed that the questionnaire has good construct validity and the fit indexes are good. MANOVA analysis of variance revealed that the differences in mathematics teachers' PCK identified by students of different school types and grades were statistically significant. It is a validate measurement to evaluate the perceived mathematics teachers' PCK for middle school students.

• Journal of Korean Elementary Science Education
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• v.34 no.4
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• pp.406-418
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• 2015

This study was designed to enhance preservice teachers' self-efficacy beliefs and pedagogical content knowledge (PCK) through scientific investigations based on current science education reforms. To do so, a science methods course was revised to include modeling effective scientific inquiry practices as well as designing and teaching scientific investigations in the K-5 practicum classrooms (Revised Science Methods Course). This study assessed the following research questions: (1) What level of PCK do preservice teachers have before and after the completion of RSMC; (2) To what extent do participants change their self-efficacy in science teaching after completing RSMC; and (3) Is there any correlation between participants' changes in self-efficacy and the level of PCK. Participants were 76 preservice teachers enrolled in a science methods course offered at a medium-sized university in the midwestern United States. This study employed the STEBI-B survey and the PCK rubric. There result of the study indicated that there was significant increase in Personal Science Teaching Efficacy (PSTE) of the participant preservice teachers after the completion of the course. Based on the PCK rubric analysis, there was a significant increase in mean scores of the post-RSMC lesson compared to those of the pre-RSMC lesson. The correlational analysis of participants showed a positive correlation between changes in self-efficacy and the level of PCK. Thus, it may be concluded that the reform-based science methods course had a positive impact on participants' self-efficacy in science teaching through correcting misconceptions, developing higher level of PCK, and modeling scientific investigation in their practicum schools.

• Journal of the Korean Home Economics Association
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• v.49 no.1
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• pp.1-16
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• 2011

This study analyzed the items for the Home Economics teacher selection test, which were carried out through the school year 2002 to 2010, based on Pedagogical Content Knowledge in Home Economics Education (H-PCK). Two frameworks were used: (1) H-PCK matrix transformed from the Content Knowledge in Home Economics Education (H-CK) and the Pedagogical Knowledge; (2) Five components of H-PCK. The results of this study were as follows: (1) The test items were classified into H-CK items and H-PCK items from the H-PCK matrix analysis. (2) While the number of items on knowledge of teaching strategies was the highest, no item on knowledge of understanding students was identified. Since the test can be considered as Measurement-Driven Instruction, it will have backward influences on the teacher education program in universities. Thus, if promising and capable new Home Economics teachers are to be recruited, the test items should include all the components of H-PCK.

• Proceedings of the Korea Water Resources Association Conference
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• 2021.06a
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• pp.291-291
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• 2021

모형이 갖는 불확실성의 정량화나 매개변수의 최적화는 계산시간의 기하급수적인 증가를 가져온다. 계산시간의 효율성을 극대화할 수 있는 기법으로 최근 대체모형이 개발되었으며, 다양한 분야에서 적용되고 있다. 그러나 대체모형은 훈련된 데이터 공간에서 크게 벗어난 극한 사상를 정확하게 모의하기는 어려운 단점이 있다. 본 연구는 이와 같은 대체모형의 단점을 개선할 수 있는 새로운 PCK(polynomial chaos-krigging) 기법을 제시한다. PCK는 PCE(polynomial chaos expansion) 기법과 OK(ordinary krigging) 기법을 결합한 것이며, PCK의 효과는 기존의 PCE 및 OK 모형의 결과와 비교하여 입증하였다. 본 연구의 분석 결과는 다음과 같다. (1) PCK는 더 적은 수의 훈련 샘플만으로도 원래 모형을 더 정확하게 대체할 수 있다. (2) 원래 훈련 샘플보다 약 3배 더 큰 극한사상을 모의했을 때, PCE와 OK는 예측이 실패하였지만, PCK의 예측은 정확하였다. (3) 민감도 분석 결과 PCK의 매개변수 특성과 거동이 PCE 및 OK보다 원래 모형의 특성과 거동에 더 일치한다. 본 연구에서는 3개의 대체모형의 결과를 원래모형의 결과와 비교하였으며 그 적용성을 극한강우에 대해 검토하였다. 일반적으로 훈련 샘플의 범위와 비슷한 강우사상에 대해서는 모든 대체모형의 결과가 우수하였으나, 훈련 샘플의 범위에서 벗어난 극한 사상의 모의는 PCK만 적용이 가능하였다. 제안된 대체모형은 극한사상의 예측에 있어 기존 대체모형보다 매우 향상된 정확도를 제공함을 확인할 수 있었다.

• Journal of the Korean Society of Earth Science Education
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• v.16 no.1
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• pp.56-71
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• 2023

The purpose of this study is to explore the role and effectiveness of argumentation structure and the developmental characteristics of science PCK with Earth science preservice teachers who used argumentation structure as a pedagogical reasoning tool. Since teachers demonstrate PCK in a series of pedagogical reasoning processes using argumentation structures, we explored the characteristics of future-oriented family resemblance-PCK shown by preservice science teachers using argumentation structures. At the end of the semester, we conducted in-depth interviews with 15 earth science preservice teachers who had experienced lesson design and teaching practice using the argumentation structure. Qualitative analysis including a semantic network analysis was conducted based on the in-depth interview to analyze the characteristics of preservice teachers' family resemblance-PCK. Results include that preservice teachers organized their classes systematically by applying the argumentation structure, and structured classes by differentiating argumentation elements from facts to conclusions. Regarding the characteristics of each component of the argumentation structure, preservice teachers had difficulty finding warrant, rebuttal, and qualifier. The area of PCK most affected by the argumentation structure is the science teaching practice, and preservice teachers emphasized the selection of a instructional model suitable for lesson content, the use of various teaching methods and inquiry activities to persuade lesson content, and developing of data literacy and digital competency. Discussed in the conclusion are the potential and usability of argument structure as a pedagogical reasoning tool, the possibility of developing science inquiry and reasoning competency of secondary school students who experience science classes using argumentation structure, and the need for developing a teacher education protocol using argumentation structure as a pedagogical reasoning tool.

• Journal of The Korean Association For Science Education
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• v.28 no.6
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• pp.592-602
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• 2008

The purpose of this research is to explore types of pedagogical content knowledge (PCK, hereafter) for effective science teaching. In this research, we explored three science teachers' PCK on light, who were effective in teaching the topic with particular students. The data analysis consisted of identifying the three teachers' unique PCK and ways to improve each teaching episode through the teacher meetings. These analyses, which consisted of verbal exchanges among the participants, were identified on the basis of our understanding. Using grounded theory methods, the types of science PCK drawn from this research are: (1) teaching through curriculum reconstruction, (2) teaching to help students build their own explanation models about surrounding nature, (3) teaching for learning the social language of science, (4) teaching to motivate students' learning needs based on relevance of science to students, (5) teaching through lowering students' learning demand by providing scaffolding, (6) teaching based on the teacher's understanding of students, (7) teaching through inquiry with argumentation, (8) teaching through reification of abstract science concepts, and (9) teaching none marginalized science. Common features of science teachers with quality PCK and their professionalism in teaching are discussed.

• 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.12 no.4
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• pp.473-492
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• 2009

Recently there has been a high request for support for teachers' professional development and quality control to meet the demand of educational policy to introduce teacher evaluation, master teacher status, incentives for teacher competency, etc. It has been suggested that reeducation and support for professional development would be more effective to beginning teachers with a high developmental potential than to experienced teachers with routinized instruction. Since 2005, KICE-TLC has conducted research on the development of teacher supporting programs such as teaching consultation and pedagogical content knowledge(PCK) in school subjects. In line with the current education policy and previous research by KICE, this research has been conducted to meet the need for novice teacher induction by developing consulting program focused on PCK. The goal of this research was to (1) explore the in-depth meaning of PCK in light of teaching consultation, (2) conduct a preliminary study on how to develop teaching consulting programs for secondary beginning teachers, (3) develop teaching consulting programs focused on pedagogical content knowledge(PCK), and (4) suggest implications for educational policy regarding pre-service and in-service teachers' continuing professional development and support.

• School Mathematics
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• v.10 no.4
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• pp.489-514
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• 2008

Since 2005 KICE - TLC has focused on the development of supporting programs for teaching consultation and pedagogical content knowledge(PCK). The purpose of this year's research was to explore types of pedagogical content knowledge(PCK, hereafter) for effective teaching mathematics topics drawn from the amended national mathematics curriculum announced in February, 2007. Based on this year's PCK research, we will develop mathematics teaching consulting program from 2009 research by field testing of developed mathematics PCK. The major source of data for this study was transcripts of audiotapes of the group discussions that took place during the regular weekly meetings where we compared and analyzed three teachers' classes. We also conducted open-ended interviews with the three teachers and collected reflective notes written by participants. This research provided teachers with an opportunity to think about what is important in the teaching of a topic and why, and to consider possibilities for future development. This research highlights the importance of teacher meetings where teachers share their expertises and insights through reflection and dialogue. By introducing the concept of PCK, examining, analyzing and modelling it in pre-service and in-service teacher education practice, we can contribute to extend teachers' professional learning. Finally, just like quality student learning, quality teaching and teacher education practices require critical reflection and careful scaffolding.

• 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.