• 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 School Mathematics Society
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• v.10 no.1
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• pp.1-25
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• 2007

The purpose of this study is to investigate the degree of mathematics teachers' recognition and understanding of mathematics education curriculum at the college of education. The subject of this study is 30 secondary school mathematics teachers who graduated from the department of mathematics education at the college of education. To accomplish this study, loather's knowledge is divided into two groups such as 'subject matter knowledge' (ready-made mathematics) and 'pedagogical content knowledge' (school mathematics and its teaching planning and methods). As a result, this study examines which subjects are required to achieve the pedagogical content knowledge in order to be a professional mathematics teacher.

• Journal of the Korean School Mathematics Society
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• v.23 no.4
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• pp.427-448
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• 2020

The purpose of this study is to confirm the MKT(Mathematical Knowledge for Teaching) of the pre-service mathematics teachers on the normal distribution through the comparative analysis between the sub-elements of the MKT. In addition, it is to examine the factors that cause the difference of the subjects' MKT. To accomplish this, by the subject of 24 secondary pre-service mathematics teachers, in this study the test items of the MKT on the normal distribution were developed and data were collected and analyzed. As a result of the analysis of the MKT test sheet, the CCK(Common Content Knowledge) of the preparatory mathematics teacher was confirmed as a high score, whereas the SCK(Specialized Content Knowledge) and KCS(Knowledge of Content and Students) were confirmed as low scores. In addition, through these results, it could be confirmed that the difference in MKT of preparatory mathematicians occurred.

• The Mathematical Education
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• v.51 no.3
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• pp.281-300
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• 2012

This study has examined the current status of mathematics education departments by analyzing its curriculum and teaching methods. We analyzed data set of the number of faculty and students, curricula, textbooks and instructional methods among 23 mathematics education department in Korea. The data reveals that the curricula of the universities of education has shown that more content knowledge subjects are taught than pedagogy knowledge subjects. However, it is important to note that there is increasing emphasis on pedagogical content knowledge. In addition, the curricula of mathematics education departments deal with various aspects of pedagogical content knowledge. What matters is whether the system works for developing a sound and deep understanding of fundamental aspects of the subject matter in future mathematics teachers. The results of the study point to the importance of pedagogical content knowledge and to the essential components that can promote further understanding of effective teaching for preparing future teachers in mathematics education departments.

• The Mathematical Education
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• v.54 no.3
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• pp.207-222
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• 2015

Mathematics preservice teachers' Mathematical Content Knowledge ("MCK") includes not only knowledge for mathematics, but also academic knowledge for school mathematics and mathematical process knowledge. We can consider the items in PISA 2012 as suitable tools to assess process knowledge as well as mathematical content knowledge because these items are developed by competent international educational experts. Therefore, the responses to items with the low percentage of correct answers in conjunction with the mathematical contents were analyzed with focus on FMC. The results showed the reasoning competency in responses using the conditions of the problem and of understanding the conditions after reading the complex problems within the context (i.e. the reasoning and argumentation competency, and communication competency) requires improvements. Furthermore the results indicated the errors due to a lack of ability of devising strategies for problem solving. Based on the foregoing results, the implications towards the directions of the education for the preservice mathematics teachers have been derived.

• East Asian mathematical journal
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• v.39 no.2
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• pp.141-166
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• 2023

The purpose of this study is to confirm the MKT(Mathematical Knowledge for Teaching) of the in-service mathematics teachers on the statistics(Representative value, Degree of scattering) through the comparative analysis between the sub-elements of the MKT. In addition, it is to examine the factors that cause the difference of the subjects' MKT. To accomplish this, by the subject of 12 secondary in-service mathematics teachers, in this study the test items of the MKT on the statistics were developed and data were collected and analyzed. As a result of the analysis of the MKT test sheet, the CCK(Common Content Knowledge) and SCK(Specialized Content Knowledge) of the mathematics teacher was confirmed as a high score, whereas the and KCS(Knowledge of Content and Students) and KCT(Knowldge of Curriculum and teaching) were confirmed as low scores. In addition, through these results, it was shown that the difference in MKT's elements the middle school and high school teachers obtain occurred slightly.

• School Mathematics
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• v.17 no.3
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• pp.469-492
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• 2015

This study explored secondary mathematics teachers' mathematical knowledge for teaching [MKT]; in particular, it focused on teachers' knowledge of functions. In order to measure teachers' MKT, we developed items according to Ball, Thames & Phelps (2008)'s domains and conducted to 34 secondary mathematics teachers in 5 high schools in Seoul. The findings from the data analysis suggested as follows: a) overall, the teachers scored average 67.4 out of 100, 87.43 in Common Content Knowledge[CCK], and the average score of Specialized Content Knowledge [SCK] was the lowest; b) correlations among SCK, KCS, and KCT were statistically significant; and c) there was no sign of statistical significance between CCK and the rest.

• Journal of Educational Research in Mathematics
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• v.26 no.2
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• pp.269-285
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• 2016

PCK(pedagogical content knowledge) has been frequently discussed in the field of subject matter education as well as education in general. Considering the fact that PCK characterizes teacher professionalism, and the distinction of mathematics education from neighboring disciplines, PCK is one of the core concepts in the discourse of mathematics education. This study focused on KCS(knowledge of content and students) among the areas of PCK. The purpose of this study to investigate the KCS of pre-service teachers attending a private university located in Seoul. An in-depth interview with 30 pre-service teachers was conducted in a semi-structured manner, using four questions dealing with common student errors, students' understanding of content, and student developmental sequences. The pre-service teachers gave mathematical answers while in others they gave priority to pedagogical considerations. The implication drawn from the interview data is that the teacher training program should fully reflect the complexity of mathematical concepts which appeared in school mathematics over several grade levels and content areas.

• The Mathematical Education
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• v.48 no.1
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• pp.93-105
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• 2009

Considering the fact that PCK(pedogogical content knowledge) tends to guarantee the identity of mathematics education as a discipline and the teacher professionalism, PCK is one of the core concepts in the research on subject matter education. The purpose of this study is to review domestic and international researches on the definition and the components of PCK in mathematics. Based on the review, this study identified 3 knowledges which consist PCK; knowedge of mathematic content, knowledge of learner's understanding, and knowledge of teaching. Then this study provided some examples of PKC in the topic, the limit of sequences, and introduced the LMT and TEDS-M items, which were designed to measure the teacher's PCK. Lastly, this study attempted to evaluate the items on mathematics education included in the Teacher Employment Test administered for pre-service/. teachers in Korea based on PCK.

• Research in Mathematical Education
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• v.4 no.1
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• pp.23-31
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• 2000

This research elaborated five components for pre-service mathematics teacher training: 1) Mathematical content knowledge, 2) Pedagogical content knowledge, 3) Pedagogical reasoning, 4) System of training, and 5) Mathematics teachers' beliefs. For the effect teaching, mathematics teacher program should be reformed. The key to improvement should be concerntrated on developing knowledge about effective teaching and translating it into algorithms those teachses can learn and incorporate in their planning prior to teaching. A theory of instruction should specify the most effective sequences in which to present the materials to be learned.