• 한국수학교육학회지시리즈A:수학교육
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• 제47권2호
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• pp.197-219
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• 2008

Unlike ordinary situations, deifinitions play a very important role in mathematics education in schools. Mathematical concepts have been mainly acquired by given definitions. However, according to didactical intentions, mathematics education in schools has employed mathematical concepts and definitions with less strict forms than those in pure mathematics. This research mainly discusses definitions used in geometry (promising) course in primary schools to cope with possibilities of creating misconception due to this didactical transformation. After analyzing problems with potential misconceptions, a survey was conducted $\underline{with}$ 80 primary school teachers in Jeju to investigate their recognitions in meaning of mathematical concepts in geometry and attitudes toward teaching. Most of the respondents answered they taught their students while they knew well about mathematical definitions in geometry but the respondents sometimes confused mathematical concepts of polygons and circles. Also, they were aware of problems in current mathematics textbooks which have explained figures in small topics (classes). Here, several suggestions are proposed as follows from analyzing teachers' recognitions and researches in mathematical viewpoints of definitions (promising) in geometric figures which have been adopted by current mathematics textbooks in primary schools from the seventh educational curriculum. First, when primary school students in their detailed operational stage studying figures, they tend to experience $\underline{a}$ collision between concept images acquired from activities to find out promising and concept images formed through promising. Therefore, a teaching method is required to lessen possibility of misconceptions. That is, there should be a communication method between defining conceptual definitions and Images. Second, we need to consider how geometric figures and their elements in primary school textbooks are connected with fundamental terminologies laying the foundation for geometrical definitions and more logical approaches should be adopted. Third, the consistency with studying geometric figures should be considered. Fourth, sorting activities about problems in coined words related to figures and way and time of their introductions should be emphasized. In primary schools mathematics curriculum, geometry has played a crucial role in increasing mathematical ways of thoughts. Hence, being introduced by parts from viewpoints of relational understanding should be emphasized more in textbooks and teachers should teach students after restructuring this. Mathematics teachers should help their students not only learn conceptual definitions of geometric figures in their courses well but also advance to rigid mathematical definitions. Therefore, that's why mathematics teachers should know meanings of concepts clearly and accurately.

• 한국과학교육학회지
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• 제28권6호
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• pp.546-564
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• 2008

본 연구에서는 26명의 예비 중등 과학 교사들의 고등학교 과학반 수업 경험에 대한 내러티브를 분석하여 그들이 형성하는 지식의 종류와 특징을 알아보았다. 그 결과, 예비 과학 교사들은 과학반 지도 경험을 계기로 교과 내용 지식의 중요성에 대해 자각하고 이를 스스로 학습할 뿐만 아니라, 가르치는 상황에서 그들의 교과 내용 지식은 과학 내용을 교수법적으로 전환하는 문제에까지 이르는 것을 알 수 있었다. 그들은 또 학생들과의 관계에 관한 지식과 학생들의 학습을 위한 교수법적 지식을 몸소 체득하였고, 새로운 수업의 맥락에서 과학의 본성을 새삼 발견하였다. 이와 더불어 예비교사들은 실제 교육 경험을 통해 교사로서의 자아에 관한 지식과 장차 과학 교육 현장에서의 교육적인 실천에 관련된 지식을 형성하는 것을 알 수 있었다. 이렇게 실제적인 지도 경험을 통해 예비 교사들이 형성하는 지식은 교사로서의 전문성을 계발하기 위한 토대가 될 수 있다고 생각되었다. 이상과 같은 연구 과정과 결과로부터 얻을 수 있는 과학 교사 교육 및 관련 연구에 관한 시사점을 논의하였다.