3차원 기하 사고와 공간적 추론에서 예비 중등 수학교사의 표상활동에 관한 연구
A study of representing activities of preservice secondary mathematics teachers in 3D geometric thinking and spatial reasoning
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This study investigated the types of the 3D geometric thinking and spatial reasoning through theobservation of the 2D representing activities for representing the 3D geometrical objects with preservicesecondary mathematics teachers. For this purpose, the 43 sophomoric students in college of education weredivided into 10 groups and observed their group task performance on the basis of the representation they used. Observed processes were all recorded and the participants were interviewed based on the task. As a result, therole of physical object that becoming the object of geometric thinking and spatial reasoning, and diversestrategies and phenomena of the process that representing the 3D geometric figures in 2D were discovered. Furthermore, these processes of representing were assumed to be influenced by experience and study practiceof students, and various forms of representing process were also discovered in the process of small groupactivities.
Abstract
This study investigated the types of the 3D geometric thinking and spatial reasoning through theobservation of the 2D representing activities for representing the 3D geometrical objects with preservicesecondary mathematics teachers. For this purpose, the 43 sophomoric students in college of education weredivided into 10 groups and observed their group task performance on the basis of the representation they used. Observed processes were all recorded and the participants were interviewed based on the task. As a result, therole of physical object that becoming the object of geometric thinking and spatial reasoning, and diversestrategies and phenomena of the process that representing the 3D geometric figures in 2D were discovered. Furthermore, these processes of representing were assumed to be influenced by experience and study practiceof students, and various forms of representing process were also discovered in the process of small groupactivities.
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