• Communications of Mathematical Education
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• v.30 no.1
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• pp.101-120
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• 2016

The purposes of the study were to analyze pre-service mathematics teachers' MKT and to examine the perceptions of MKT to find implications for the improvement of pre-service mathematics teacher education program in the aspect of teachers' content knowledge. Twenty-six pre-service mathematics teachers participated in the survey to examine the perceptions of MKT and they also finished two MKT tasks which focused on a specific area of middle school geometry. According to the survey results, the participants thought that they have enough knowledge in all categories of MKT except KCT-2 and they appreciated the importance of MKT education in pre-service mathematics teacher education program. However, the participants showed difficulties in MKT task items which required SCK, KCS, KCT, especially, the proportions of those who showed appropriate knowledge on the items required SCK and KCT was less than 50%. These results show disagreement between the perceptions of pre-service mathematics teachers' MKT and practice of MKT.

• Communications of Mathematical Education
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• v.33 no.3
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• pp.377-394
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• 2019

The purpose of this study is to scrutinize the characteristics of a teacher's discursive competence on the basis of mathematical competencies. For this purpose, we observed all semester-long classes of a middle school teacher, who changed her own teaching methods for the last 20 years, collected video clips on them, and analyzed classroom discourse. Data analysis shows that in problem solving competency, she helped students focus on mathematically important components for problem understanding, and in reasoning competency, there was a discursive competence which articulated thinking processes for understanding the needs of mathematical justification. And in creativity and confluence competency, there was a discursive competence which developed class discussions by sharing peers' problem solving methods and encouraging students to apply alternative problem solving methods, whereas in communication competency, there was a discursive competency which explored mathematical relationships through the need for multiple mathematical representations and discussions about their differences. These results can provide concrete directions to developing curricula for future teacher education by suggesting ideas about how to combine practices with PCK needed for mathematics teaching.

• Communications of Mathematical Education
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• v.34 no.2
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• pp.41-68
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• 2020

The purpose of this study is to analyze the cognition of per-service teachers, who experienced a teacher education process for developing their discursive competency, about relations between class plan and class practice as well as discursive competency required in class process. For this purpose, 15 pre-service teachers participated in the course of mathematics teaching theory for developing discursive competency and their final projects including the process of analysing their own teaching discourse after actually teaching middle or high school students were collected as data and analyzed. Results show that they realized that there were differences between class plan and class practice after having experienced unexpected teaching and learning situations, recognized the importance of discursive competency learned from the course, and reflected on their discursive competency in conjunction with their classes. These results imply that the course contributed to pre-service teachers' cognitions of the existential possibility of discursive competency. which helps to develop a teaching method combining teachers' knowledge and practice, the importance of discursive competency, and the need for developing it. The course also provided practical ideas about a teacher education program to develop prospective teachers' discursive competency