• Journal of the Korean School Mathematics Society
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• v.16 no.4
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• pp.695-717
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• 2013

Teacher knowledge needed for teaching is bound to be revealed in teaching the subject matter in relation to the given instructional context. Given this, recent studies on mathematics teacher knowledge tend to analyze actual Mathematical Knowledge in Teaching [MKiT]. This study focused on the dimension of transformation and its related codes in Knowledge Quartet, which has been recognized as a MKiT framework, and analyzed a Korean teacher's transformation knowledge revealed in her elementary mathematics teaching. The analysis showed that the codes related to the dimension of transformation were useful in analyzing teacher knowledge in the Korean context. However, a few codes need to be revised or added for more suitability. On the basis of these results, this paper closes with implications for analyzing teacher knowledge in mathematics teaching.

• Journal of the Korean School Mathematics Society
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• v.21 no.2
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• pp.113-139
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• 2018

There is no doubt about the importance of teacher knowledge for good teaching. Many researches attempted to conceptualize elements and features of teacher knowledge for teaching in a quantitative way. Unlike existing researches, this article suggests an interpretation of preservice teacher knowledge in the field of geometry using the Shulman - Fischbein framework in a qualitative way. Seven female preservice teachers voluntarily participated in this research and they performed a series of written tasks that asked their subject matter knowledge (SMK) and pedagogical content knowledge (PCK). Their responses were analyzed according to mathematical algorithmic -, formal -, and intuitive - SMK and PCK. The interpretation revealed that preservice teachers had overally strong SMK, their deeply rooted SMK did not change, their SMK affected their PCK, they had appropriate PCK with regard to knowledge of student, and they tended to less focus on mathematical intuitive - PCK when they considered instructional strategies. The understanding of preservice teachers' knowledge throughout the analysis using Shulman-Fischbein framework will be able to help design teacher preparation programs.

• Communications of Mathematical Education
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• v.32 no.3
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• pp.297-314
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• 2018

This article aims at providing implication for teacher preparation program through interpreting pre-service teachers' knowledge by using Shulman-Fischbein framework. Shulman-Fischbein framework combines two dimensions (SMK and PCK) from Shulman with three components of mathematical knowledge (algorithmic, formal, and intuitive) from Fischbein, which results in six cells about teachers' knowledge (mathematical algorithmic-, formal-, intuitive- SMK and mathematical algorithmic-, formal-, intuitive- PCK). To accomplish the purpose, five pre-service teachers participated in this research and they performed a series of tasks that were designed to investigate their SMK and PCK with regard to students' misconception in the area of geometry. The analysis revealed that pre-service teachers had fairly strong SMK in that they could solve the problems of tasks and suggest prerequisite knowledge to solve the problems. They tended to emphasize formal aspect of mathematics, especially logic, mathematical rigor, rather than algorithmic and intuitive knowledge. When they analyzed students' misconception, pre-service teachers did not deeply consider the levels of students' thinking in that they asked 4-6 grade students to show abstract and formal thinking. When they suggested instructional strategies to correct students' misconception, pre-service teachers provided superficial answers. In order to enhance their knowledge of students, these findings imply that pre-service teachers need to be provided with opportunity to investigate students' conception and misconception.

• Journal of the Korean earth science society
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• v.30 no.3
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• pp.330-343
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• 2009

Pedagogical content knowledge (PCK) has been regarded as an indication of science teachers' professionalism. The purpose of this study was to analyze topic-specific PCK of pre-service and in-service science teachers, comparatively. For this purpose, we developed an analytic framework for explicitly documenting science teacher' PCK and applied the framework for analyzing the difference within the same topic and with two different topics. Findings are as follows: (1) With the same topic, there was considerable difference between pre-service and in-service teachers in the components of PCK, not to mention individual difference. (2) In case of two different topics, we did not recognize a tendency of change in PCK, but remarkable differences in PCK were identified between two different topics. This study affirmed the topic specificity of PCK, and discussed a possibility of employing PCK analytic framework and its profile as one of the tools that could be used to develop and assess teachers' professionalism.

• Journal of The Korean Association For Science Education
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• v.27 no.1
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• pp.70-83
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• 2007

Reflection in teacher education is one reform effort that has taken hold in many teacher preparation programs. However, how to define it and how to foster it in a teacher's education are problematic issues. In this study, on the basis of literature review, science teachers' reflective thinking is defined as a process of thinking that deliberates on alternatives to solve conflict between one's previous knowledge/belief/practice and internal/external factors in science teaching context. Based on this definition, three types of science teachers' reflective thinking (i.e. technical reflection, professional reflection and critical reflection) were proposed. In addition, a framework of classifying the reflective thinking's types was also developed. To investigate science teachers' reflective thinking, two pre-service science teachers who majored in physics education participated in this study. The participants presented the monthly report on reflective practice, pre/post questionnaire, and education practicum journals. Individual interviews with them were conducted before and after their teaching activities. From the analysis of the data, it was possible to categorize the reflective thinking of the participants into three types. The major type of their reflective thinking was the technical reflection. However, it was difficult to find examples of the critical reflection.

• Journal of Educational Research in Mathematics
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• v.22 no.4
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• pp.535-555
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• 2012

The aim of this study is to analyze how the context problems by prospective teachers are solved. In order to achieve this aim, this study examined the conceptual nature of context based on previous studies. I developed context problems about linear programming with reference to the results of the examination about the natural characterization of context. These problems were given to 44 prospective teachers and qualitative methods were used to analyze the data obtained from the written solutions by the participants. This study also developed the framework descriptors for this analysis in the light of the Mathematics Scoring Rubric from Illinois Department of Education(2005). The data was analyzed and interpreted in terms of this framework and the specific characteristics shown in the process of problem solving by the teachers were categorized into four types as a result.

• Journal of the Korean School Mathematics Society
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• v.11 no.4
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• pp.569-593
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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.

• The Journal of the Convergence on Culture Technology
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• v.6 no.4
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• pp.339-345
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• 2020

This study intended to analyze pre-service elementary teachers' perceptions of teacher knowledge based on the Technological, Pedagogical, and Content Knowledge (TPACK) framework. Seventy-four pre-service elementary teachers who were enrolled at an University of Education located in mid-continent of Korea participated in a survey. Results of the survey was analyzed using Importance-Performance Analysis (IPA) method. It was found that perception of importance was significantly higher than that of performance at all seven domains of the TPACK. IPA matrix extracted from the survey indicates that Technological Content Knowledge (TCK), Technological Pedagogical Knowledge (TPK), and TPACK which are related to technology especially need to develop. Results of this study also show the necessity to support pre-service teachers so that they can have opportunities to develop and use technology-related knowledge and skills. This study especially implies that technological knowledge needs to be integrated with content and pedagogical knowledge when implementing curriculum and educational programs for pre-servie elementary teachers.

• The Mathematical Education
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• v.52 no.4
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• pp.567-586
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• 2013

The purpose of this study was to introduce the Knowledge Quartet (KQ) framework by which we can analyze teacher knowledge revealed in teaching mathematics. Specifically, this paper addressed how the KQ framework has been developed and employed in the context of research on teacher knowledge. In order to make the framework accessible, this paper analyzed an elementary school teacher's knowledge in teaching her fifth grade students how to figure out the area of a trapezoid using the four dimensions of the KQ (i.e., foundation, transformation, connection, and contingency). This paper is expected to provide mathematics educators with a basis of understanding the nature of teacher knowledge in teaching mathematics and to induce further detailed analyses of teacher knowledge using some dimensions of the KQ framework.

• School Mathematics
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• v.16 no.3
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• pp.519-542
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• 2014

This study analyzed characteristics which emerged while 45 secondary school teachers observed a video clip about a statistics instruction. The aim of this study based on the analysis was to deduct implications in terms of the various means which would enhance teachers' knowledge in teaching statistics and assist in designing statistics education programs for teachers and professional development initiatives. To achieve this goal, this research firstly developed framework descriptors which provided this study with theoretical foundations to investigate what characteristics appeared in the teachers' observation. Secondly, this study probed the observation results from the teachers in the light of the framework. Therefore, some issues in the teacher education program for teaching statistics were thirdly identified in the categories of 'focus of instruction', 'role of the teacher and discourse' and 'data and technology' based on the analysis. This research inspires the elaboration of exactly what features effective statistics classes have through the framework descriptors and additionally the elucidation of essential matters relevant to statistics education on the basis of the issues.