• Journal of the Korean School Mathematics Society
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• v.14 no.2
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• pp.123-142
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• 2011

Recently, a number of researches acknowledge the importance of 'reflection' and 'reflective teacher education,' and they highlight the implication of 'reflection' on the teacher's profession or the teacher education. The reflective thought is interpreted as a subject that should be taught or a sort of strategy that a teacher should learn, while the aspect is excluded that reflection is the interaction between the innate knowledge and the practice. As a result, the reflective teacher education programs that increase the level of reflection are developed and practiced, and the reflection is accepted as a tool for increasing teacher professionalism. Reflective teaching is en essential and basic element for the development of teacher knowledge. In particular, such teacher knowledge might be being gradually expanded by a teacher's self-assessment on reflection on his own instruction. For this reason, this study develops an assessment framework on instruction which is comprized of teacher knowledge and instructional process. To accomplish this, in this study, teacher knowledge is considered as a whole practice knowledge combined by subject matter knowledge, understanding of learners, teaching and learning methods and assessment, and instructional environment. Also, success on instruction in mathematics class might depend on the acquisition of teacher knowledge, instructional planning, instructional execution, and furthermore reflection on instruction. Especially, this study emphasizes that 'reflection on instruction', the most important step of instruction be reflected and examined by the teacher himself.

• 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.15 no.2
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• pp.443-457
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• 2013

This study investigated the perceptions of beginning teachers about teacher knowledge. Reflections and improvement of their class knowledge have been perceived as the most important factors by beginning teachers. In terms of utilization of actual classes, teacher knowledge, mathematical concepts and correlations such as connection linked to class contents and hierarchy have been used the most. Among the needed teachers knowledge, knowledge of student understanding and mathematics content knowledge was the most essential knowledge that could be mainly formed through classroom experience and teacher training program. On the other hand, knowledge about technology and assessment was not necessary or useful factor for beginning teachers. To facilitate formation of beginning teachers' knowledge, teacher introductory program, mentoring program, interactive relationship with teacher education institutes, curriculum improvement for teacher education institute and the development and dissemination of various teachers training program would be required.

• The Mathematical Education
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• v.58 no.2
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• pp.299-317
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• 2019

In this study, we analyzed the change of teacher knowledge through task design in the teacher-researcher community focused on knowledge of students in the area of derivatives application. The following subjects were studied. First, we have analyzed the focus of the discussion related to teacher knowledge of students within the teacher-researcher community. Second, we have analyzed the change of teacher knowledge of students according to the focus. The results of this study are as follows. First, community member' different knowledge of students led the discussion on the task solving paths. The main focus of the discussion was the possibility in inducing responses and motivation. Second, the process of reviewing and evaluating task solving paths and reaching consensus led the improvement of teacher knowledge. Teachers and researchers led changes of teacher knowledge by sharing the knowledge based on previous research and experience, respectively. This ultimately shows the necessity of co-learning between teachers and researchers in teacher education.

• Journal of Educational Research in Mathematics
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• v.25 no.4
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• pp.617-630
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• 2015

A perspective of the nature of teacher knowledge has a significant impact on why and how we study teacher knowledge. The purpose of this study was to explore the mathematics knowledge in teaching (MKiT) in terms of meanings, characteristics, and analytic methods. MKiT regards teacher knowledge as practical knowledge that has meanings only when it is employed in teaching mathematics. Various components of teacher knowledge interact one another in teaching mathematics. Given this, teacher knowledge is regarded as an organism specific to teaching contexts and it needs to be analyzed by observing lessons or a teacher's actions related directly to the lessons. This paper is expected to induce research on teacher knowledge from the MKiT perspective and urge researchers to have a profound understanding of the nature and analytic methods of teacher knowledge. Some implications of future research are included.

• The Mathematical Education
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• v.60 no.3
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• pp.281-295
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• 2021

This study examines the breadth and depth of knowledge of the teacher employment test for secondary mathematics. For the breadth of knowledge, we attempted to figure out the range of knowledge in terms of the content areas using the standards from the Korea Society Educational Studies in Mathematics[KSESM](2008). For the depth of knowledge, we chose Anderson & Krathwohl(2001) framework to analyze levels of each item in the test. The results from the analysis of 180 items in the teacher employment test between 2014 and 2021 show that while items in mathematics education have considerable variation in terms of range and levels of knowledge, those in some subjects of mathematics can be found only certain level of knowledge. i.e., merely certain topics or levels of knowledge have been heavily evaluated. Thus, considering the breadth and depth of knowledge teachers should have, the current exam needs to be improved in terms of teacher knowledge. It does not mean that every topic and every level of knowledge should be evaluated. However, it is a meaningful opportunity to think about what kinds of knowledge teachers should have in relation to K-12 mathematics curriculum and how we can evaluate the knowledge. More collaborative effort is inevitable for the improvement of teacher knowledge and teacher employment test.

• 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.

• Korean Journal of Child Studies
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• v.21 no.3
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• pp.41-51
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• 2000

This study discusses the interpretation and application of a post modern perspective to child development knowledge and early childhood teacher education. The survey of literature focused on the post modern approach to child development knowledge and early childhood teacher education, research in the reassessment of child development knowledge as it is challenged by the post modern perspective, and deconstruction of both child development knowledge and early childhood teacher education. It was concluded that child development knowledge is necessary but insufficient to early childhood teacher education. In the post modern perspective, the movement toward fostering "reflective practitioners" and basic knowledge base is more significant. Therefore, the responsibility of academics is to walk the fine line between presenting a formal knowledge base so that students gain assumption to guide their thinking and practice, critiquing both theory and derived practices.

• Journal of The Korean Association For Science Education
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• v.34 no.7
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• pp.625-634
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• 2014

This study has investigated the factors that make a science teacher effective by analyzing students' perception of teacher knowledge required in enhancing their science learning. The basic components of teacher knowledge identified by previous researchers have been confirmed through Exploratory Factor Analysis (EFA). Based on the findings of the EFA, the questionnaire has been further analyzed using Confirmatory Factor Analysis (CFA) by means of Structural Equation Modeling (SEM). In addition, the differences in students' perception on the identified factors of effectiveness have also been analyzed in terms of gender and achievement level. The findings of the EFA showed that five factors of science teacher effectiveness were identified; namely, substantive knowledge, syntactic knowledge, knowledge of students' understandings, knowledge of instructional strategies, and knowledge of assessment. These five components have been divided into two categories of teacher knowledge, SMK and PCK. What we found from the CFA was the respective high correlation between substantive and syntactic knowledge, knowledge of students' understanding and instructional strategies and the low correlation between substantive knowledge and knowledge of instructional strategies. Students perceived substantive knowledge as the most effective factor, knowledge of assessment as the least effective factor. Also, there have been considerable differences in students' perception by gender and achievement level. We proposed, based on the findings, that SMK and PCK need to be integrated into a coherent manner for the effective science teaching practice. This study provides some implications for science teacher professional development and the improvement of science teacher preparation program.

• Journal of the Korean earth science society
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• v.44 no.4
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• pp.331-341
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• 2023

The goal of this study was to examine the PCK required for science teachers and PCK required for university teacher educators in terms of school science knowledge, science teaching and learning, and the role of science educators, which are the main axes of science education in future schools, and to explore the relationship between them. This study is a follow-up to a previous stage of research that explored the prospects for changes in schools in the future (2040-2050) in terms of school knowledge, educational methods, and teacher roles. Based on in-depth interviews, qualitative and semantic network analyses were conducted to derive and compare the characteristics of PCK and PCK. As for the main research results, science teacher PCK in future schools should include expertise in organizing science classes centered on convergence topics, expertise in digital platforms and ICT use, and expertise in building a network of learning communities and resources, as part of the expertise of human teachers differentiated from AI. Teacher educators' PCK includes expertise in the research and development of T-L methods using AI, expertise in the knowledge construction process and practice, and expertise in developing preservice teachers' research competencies. Discussed in the conclusion is the change in teacher PCK and teacher educator PCK with changes in science knowledge, such as convergence-type knowledge and cognition-value integrated knowledge; and the need to emphasize values, attitudes, and ethical judgments for the coexistence of humans and non-humans as school science knowledge in the post-humanism future society.