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      • KCI등재

        변화에 의한 기하교육

        곽동애 ( Dong Ae Kwak ),기우항 ( U Hang Ki ),우경수 ( Gyung Soo Woo ) 경북대학교 과학교육연구소 1998 科學敎育硏究誌 Vol.22 No.-

        This study is on the historical view of the geometry and the associated theoretical background of related transformations. From the ancient Greek ages, the geometric teaching relating to transformations was of great importance. Generally, the geometry was developed in the following order such as the Euclidean geometry, affine geometry, and topological geometry. But in the development of space recognition, the recognition of the topological properties such as the inner and outer part, the openness and closedness, the connectedness of curves precedes the affine and Euclidean recognition in the geometric figures. In the current geometry, they usually deal the Euclidean geometry to geometric figures. In the current geometry, they usually deal the Euclidean geometry to improve the geometrical insights and the ability of arguments. But they also introduced the topological geometry such as the Mobius band, one touch drawing, the Euler`s formula. But there are no absolute truth in mathematics, so we should develop several new kinds of programs of programs containing the affine geometry and topological geometry for the students.

      • KCI등재

        변환에 의한 기하교육

        곽동애,기우항,우경수 慶北大學校 師範大學 科學敎育硏究所 1998 科學敎育硏究誌 Vol.22 No.-

        This study is on the historical view of the geometry and the associated theoretical background of related transformations. From the ancient Greek ages, the geometric teaching relating to transformations was of great importance. Generally, the geometry, was developed in the following order such as the Euclidean geometry, affine geometry, and topological geometry. But in the development of space recognition, the recognition of the topological properties such as the inner and outer part, the openness and closedness, the connectedness of curves precedes the affine and euclidean recognition in the geometric figures. In the current geometry, they usually deal the Euclidean geometry to improve the geometrical insights and the ability of arguments. But they also introduced the topological geometry such as the Mobius band, one touch drawing, the Euler's formula. But there are no absolute truth in mathematics, so we should develop several new kinds of programs containing the affine geometry and topological geometry for the students.

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