• School Mathematics
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• v.7 no.3
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• pp.287-301
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• 2005

The current knowledge-based society constantly requires teachers to enhance the level of their professional development, which underscores the importance of pre- and in-service teacher training for content do-mains. Most of previous studies designed to investigate the in-service teacher training have been quantitatively conducted with the use of survey analysis and not many efforts have been made to identify any possible weaknesses of teacher training for mathematics education. The present investigation, made to fill the gaps, attempted to describe and interpret teacher training programs for mathematics education using in-depth in-terviews, a form of qualitative research approach. Together with the finding that the degree of classroom teachers' approval for their training was not high for various reasons, the study proposes ways to improve teacher training programs for mathematics education so as to change mathematics classrooms for the better.

• Journal of the Korean Mathematical Society
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• v.41 no.2
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• pp.243-248
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• 2004

In this note, we get some generalized KKM theorems for the k-set contraction mapping on the nearly-convex sets.

• School Mathematics
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• v.4 no.3
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• pp.415-433
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• 2002

The mathematics education community is seeking to change a teacher-centered class-room culture to a student-centered culture. However, the real transition is not easy, even for teachers who are eager and willing to teach differently. The challenge for teachers is to use the social structure of the classrooms to nurture students' development toward mathematical ways of thinking and communicating as well as their under-standing of mathematical concepts and processes. By introducing an elementary teacher's teaching practice and professional develop-ment along with her classroom episodes, this paper is to make strides toward an enriched understanding of the culture of the elementary mathematics classrooms in which students may have a lot of opportunities to develop conceptual under standing and math-ematical disposition. This paper first provides a detailed description of the classroom flow in terms of general social norms and sociomathematical norms in order to explore how the teacher and the students have established such a student-centered math-ematics microculture. This paper then analyzes the teacher's teaching approach and professional development.

• Research in Mathematical Education
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• v.17 no.3
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• pp.181-198
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• 2013

Teaching and learning mathematics in a classroom setting is based on the interactions between the teacher and her students. Using classroom observations and interviews of students and the teacher, this research examines a first-year teacher and her students' interactions in the mathematics classroom. In this mathematics classroom, teacher and students interaction had inconsistency between mathematical topics and non-mathematical topics. For non-mathematical topics, their interactions were very active but for mathematical topics their interactions were very limited. This paper ends with raising questions for future research and calling for the opportunities for first-year teachers to reflect on their interactions with their students, in particular about mathematical topics.

• Research in Mathematical Education
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• v.13 no.4
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• pp.309-330
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• 2009

The article aims to present findings of a study which has examined the ability of elementary school mathematics teachers and of teacher-trainees in other disciplines to solve irregular challenging problems of sequences in general rather than numerical sequences only. The findings show that mathematics teachers succeed to cope with unusual assignments when the requirements of the problems presented to them are analogous to irregular problems. However, when the problems require a change in the thinking procedure in the direction of creative thinking, there is a considerable decrease in performance. Another finding shows that, although teacher-trainees succeed less in solving the presented problems, they give incorrect solutions which do indicate creative thinking. An inevitable conclusion based on the research findings is that teacher training institutions should enhance and reinforce multi-directional. branching out and creative thinking competences.

• The Mathematical Education
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• v.42 no.4
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• pp.465-480
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• 2003

The main purpose of this work is to propose programs of mathematics education and mathematics history courses for the department of mathematics education of teacher training universities. Foundation of Mathematics Education, Mathematics Teaching and Learning Theories, Mathematics Problem Solving, Analysis and Evaluation of Mathematics Teaching Materials and Mathematics History are discussed in this article.

• School Mathematics
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• v.4 no.4
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• pp.617-631
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• 2002

In this study, we introduced the concept of ‘case-method’ which is the method to discuss about actual education with a concrete case. And we suggested that case-method need to be applied a program for mathematics teacher professional development. To assist this suggestion, we attempted to examine recent mathematics educational studies that is written by case-study and topics that is included in mathematics teacher educational program. After these examination, we pointed out that case-method with a educational case have not applied in teacher education program in korea. According to the suggestion in this study, we showed a concrete example of case-method. In this example, we set up three perspectives(on general theory of mathematics education, on contents of given case, on application given case to own class) to analysis given case and revealed several disscussion topics each perspective. Finally, we referred to the following research of this paper.

• Journal of Educational Research in Mathematics
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• v.17 no.3
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• pp.295-308
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• 2007

The purpose of this paper was to investigate the pedagogical content knowledge of a middle school mathematics teacher manifested in his mathematics instruction by identifying the components of the pedagogical content knowledge of the teacher. For the purpose of the study, I conducted an interpretive case study by collecting qualitative data. The results showed that the pedagogical content knowledge of the teacher was characterized by: (a) knowledge of mathematics including connection among topics and various ways of solving problems; (b) knowledge of students' understanding involving students' misconceptions, common errors, difficulties, and confusions; and (c) knowledge of pedagogy consisting of his efforts to motivate his students by providing realistic applications of mathematical topics and his use of materials.

• Journal of the Korean School Mathematics Society
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• v.9 no.4
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• pp.425-457
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• 2006

The purpose of this paper was to analyze a teacher's questioning in the learner-centered mathematics lessons and investigate its effects on the construction of learner's knowledge. For this study, it is analysed that the teacher's questioning in the 3 observed learner-centered lessons concerning elementary division topic. The study results showed that the characteristics of the teacher's questioning were respecting of learner's informal mathematical thinking, open-ended questioning for divergent thinking, appropriate questioning at every group, and respecting classroom norm. Teacher's questioning affects the quality of learner's mathematical thinking and his or her attitude toward mathematics.

• Research in Mathematical Education
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• v.7 no.4
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• pp.235-246
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• 2003

To develop the content and form of the teacher education program for mathematical excellence, we reviewed several teacher education programs. CGI is an excellent model for teacher education program for mathematical excellence. We developed the 12 teacher education programs based on mathematical tasks developed for the gifted children and have applied them to teacher education. It is not so difficult to develop more programs, because we have made a lot of tasks for the gifted in mathematics for 8 years. Wooden Die for Drinking Game which is one of 12 programs is introduced in this article.