• 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.

• Research in Mathematical Education
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• v.15 no.4
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• pp.341-355
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• 2011

A research group consisting of some mathematics education scholars and school teachers has been formed to build a website which intended to combine both theories and practices of mathematical teaching since 2002. There were three working stages: video-tapping realistic math teaching, developing video discs of different themes, and designing e-Learning. The group members learned knowledge of teaching by actual participating. On the other hand, the products enabled the audience to get professional development in knowledge of both mathematics and teaching. Management process of this group and effects upon the participants and users will be presented and discussed in this paper. A research group consisting of some mathematics education scholars and school teachers has been formed to build a website which intended to combine both theories and practices of mathematical teaching since 2002. There were three working stages: video-tapping realistic math teaching, developing video discs of different themes, and designing e-Learning. The group members learned knowledge of teaching by actual participating. On the other hand, the products enabled the audience to get professional development in knowledge of both mathematics and teaching. Management process of this group and effects upon the participants and users will be presented and discussed in this paper.

• International Journal of Advanced Culture Technology
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• v.12 no.3
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• pp.441-448
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• 2024

The purpose of the study was to examine the effects of pre-service early childhood teachers' pedagogical content knowledge in mathematics and constructivist educational belief on mathematics teaching efficacy. The subjects were 187 pre-service early childhood teachers who enrolled in universities majoring early childhood education. We used self-reporting survey questionnaires to measure the major variables and utilized the SPSS 28.0 Program to analyze the collected data. Cronbach's alphas were calculated and the descriptive statistical analysis were conducted. To investigate the research questions, Pearson's correlation analysis and multiple regression analysis were done. As results, the higher the levels of pre-service early childhood teachers' pedagogical content knowledge in mathematics and constructivist educational beliefs, the higher their mathematics teaching efficacy. In addition, both pedagogical content knowledge in mathematics and constructivist educational belief were validated as the predictors of increased mathematics teaching efficacy of pre-service early childhood teachers.

• Research in Mathematical Education
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• v.17 no.1
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• pp.47-61
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• 2013

This paper aims to explore whether Learning Study improves teachers' subject content knowledge, pedagogical content knowledge, and attitude toward teaching mathematics. A Learning Study was conducted in a Hong Kong primary school for a research lesson on comparing the size of fractions to explore the new teacher roles.

• 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.

• Journal of the Korean School Mathematics Society
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• v.13 no.1
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• pp.45-67
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• 2010

On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out several research as follows : 1) establishment of observation elements for selecting examples of good instruction between 2001 and 2002, 2) development of the standards on teaching evaluation between 2004 and 2006, and 3) investigation on the elements of Pedagogical Content Knowledge including Subject Matter Knowledge between 2007 and 2008. The purpose of development of mathematics teaching evaluation standards through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. Especially, the standards on mathematics teaching evaluation were developed based on the standards on general teaching evaluation. In this study, the standards were revised and modified by analyzing the results of those studies (namely, evaluation standards) focused on SMK. For this purpose, four domains such as the knowledge of curriculum reconstruction, knowledge of mathematical contents, methodological knowledge, mathematical value were new established based on the theories relevant to SMK and on the base of these four domains, standards or elements on teaching evaluation focused on SMK were reconstructed.

• 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.

• Education of Primary School Mathematics
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• v.17 no.3
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• pp.173-188
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• 2014

The aim of the case study presented in this paper was to explore mathematics curriculum knowledge of a South Korean elementary teacher. An in-depth case study is applied to examine mathematics curriculum knowledge that influences teachers' instructional process including analysis of diverse artifacts such as lesson plan, observation and interviews. Findings of this study suggest that mathematics curriculum knowledge has direct relevance to teaching a lesson, designing a lesson and assessing students' work. In addition, this study identified that mathematics curriculum knowledge may be divided into two sub-categories: vertical mathematics curriculum knowledge and horizontal mathematics curriculum knowledge. The results of this case study help our understanding of South Korean elementary teachers' mathematics curriculum knowledge, which has a deep impact on their teaching practice. Moreover, this cross-national research offers implications for researchers, policymakers, and teachers in U.S. as well as those in South Korea.

• The Mathematical Education
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• v.49 no.1
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• pp.15-37
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• 2010

In this study, we investigated the application of oriental history of mathematics in school mathematics teaching. We set up three study problems to achieve this purpose. First, we analyze the middle and high school mathematics textbooks and auxiliary books. Second, we survey the mathematics teacher's knowledge and degree of application on history of mathematics. Third, we develop the teaching and learning materials on oriental history of mathematics. We performed three study-methods to settle above study problem. First, we analyzed 24 textbooks and auxiliary books for study problem 1. There were 6 middle school mathematics textbooks and 6 auxiliary books and also 6 high school mathematics textbooks and 6 auxiliary books. We categorized the contents into "anecdote", "systematization", "application of problem", "expansibility of thought", and "comparative of the contents". Second, we surveyed the 78 mathematics teachers's knowledge and degree of application using questionnaire about knowledge and application on history of mathematics. The questionnaire was made up of four types of question; the effect of material about history of mathematics, the understanding of western history of mathematics, the understanding of oriental history of mathematics; the direction of development of teaching material. Third, we exemplified the teaching and learning materials about three categories: "anecdote", "comparative of the contents".

• Journal of Educational Research in Mathematics
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• v.20 no.3
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• pp.357-371
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• 2010

This study aimed to investigate how two eighth-grade mathematics teachers' pedagogical content knowledge is manifested in their classroom instruction. A case study was conducted for the study. The results revealed similarities and differences in the teachers' knowledge manifested in their mathematics classrooms and that the two teachers had slightly different structures of pedagogical content knowledge. One teacher is more dependent on his knowledge of mathematics and knowledge of students' understanding and the other teacher on her knowledge of instructional process and, to a lesser extent, knowledge of mathematics.