An Analysis on Teachers' Behaviors in Problem Presenting and Solving Activities in Elementary Mathematics Class

초등수학수업의 과제제시 및 해결활동에서 나타나는 교사의 행동 분석

This study analyzed problem presenting and solving activities in elementary school mathematics class to enhance insights of teachers in class for providing real meaning of learning. Following research problems were selected to provide basic information for improving to sound student oriented lesson rather than teacher oriented lessons. Protocols were made based on video information of 5th grade elementary school 'Na' level figure and measurement area 3. Congruence of figures, 4. Symmetry of figures, and 6. Areas and weight. Protocols were analyzed with numbering, comment, coding and categorizing processes. This study is an qualitative exploratory research held toward three teachers of 5th grade for problem solving activities analysis in problem presenting method, opportunity to providing method to solve problems and teachers' behavior in problem solving activities. Following conclusions were obtained through this study. First, problem presenting method, opportunity providing method to solve problems and teachers' behavior in problem solving activities were categorized in various types. Second, Effective problem presenting methods for understanding in mathematics problem solving activities are making problem solving method questions or explaining contents of problems. Then the students clearly recognize problems to solve and they can conduct searches and exploratory to solve problems. At this point, the students understood fully what their assignments were and were also able to search for methods to solve the problem. Third, actual opportunity providing method for problem solving is to provide opportunity to present activities results. Then students can experience expressing what they have explored and understood during problem solving activities as well as communications with others. At this point, the students independently completed their assignments, expressed their findings and understandings in the process, and communicated with others. Fourth, in order to direct the teachers' changes in behaviors towards a positive direction, the teacher must be able to firmly establish himself or herself as a teaching figure in order to promote students' independent actions.

수학 교실에서 가치 있는 수학적 과제는 학생들에게 수학적 아이디어를 제공하고 지적으로 흥미를 갖고 도전해 보게 한다. 최근 수학적 과제에 대한 중요성은 여러 측면에서 강조되고 있다. 특히 과제에 따라 학생들의 수업 참여도가 달라지고 수업 시간의 활동이 결정된다는 연구 결과와 학습 기회는 학생들이 참여하는 과제의 사고 수준과 사고 종류에 의해 결정된다는 주장은 교수 학습 과정에서의 과제의 중요성을 한층 더 부각시키고 있다. 이에 본 연구는 다양하고 실제적인 과제 제시 및 해결 활동에 대한 구체적인 이해를 위하여 연구자의 개입이 없는 자연스러운 교실 상황 내에서 교수 학습 활동을 관찰하고자 한다. 교수 학습 활동에서 나타나는 교사의 과제 제시 방법, 과제 해결을 위한 기회 제공 방법, 과제 해결 시 나타나는 교사의 행동을 분석하여 각 관점에 따른 교사의 행동 유형을 분류해 보고, 이를 통해 수학적 소양과 수학적 힘을 신장시킬 수 있는 학생 중심의 개혁적인 수학 교실 수업 실현을 위한 기초적인 정보를 제공하고자 하는데 그 목적이 있다.