정다면체 문제 해결 과정에서 나타나는 고등학교 학생들의 심상에 관한 사례연구
A case study on high school students’ mental image in the process of solving regular polyhedron problems
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The purpose of this study is to analyze how high school students form and interpret the mental image inthe process of solving regular polyhedron problems. For this purpose, a set of problems about the regularpolyhedron’s vertex is developed on the base of the regular polyhedron’s duality and circulation. and applied to2 students of the 12th graders in D high school. After 2 hours of teaching and learning and another 2 hours ofmental image-analysis process, the following research findings are obtained. Fisrt, a student who recorded medium high-level grade in the national scholastic test can build the dynamicimage or the patten image in the process of solving regular polyhedron’s vertex problems by utilizing the 3Dgeometry program. However, the other student who recorded low-level grade can build the concrete-pictorialimage. Second, pattern image or dynamic image can help students solve the regular polyhedron’s vertex problemsby proper transformation of informations and the mental images while the concrete-pictorial image does nothelp. Hence, it is recommended that the mathematics teachers should develop teaching and learning materialsabout the regular polyhedron’s duality and circulation and also give students suitable questions to build thevarious mental images.
Abstract
The purpose of this study is to analyze how high school students form and interpret the mental image inthe process of solving regular polyhedron problems. For this purpose, a set of problems about the regularpolyhedron’s vertex is developed on the base of the regular polyhedron’s duality and circulation. and applied to2 students of the 12th graders in D high school. After 2 hours of teaching and learning and another 2 hours ofmental image-analysis process, the following research findings are obtained. Fisrt, a student who recorded medium high-level grade in the national scholastic test can build the dynamicimage or the patten image in the process of solving regular polyhedron’s vertex problems by utilizing the 3Dgeometry program. However, the other student who recorded low-level grade can build the concrete-pictorialimage. Second, pattern image or dynamic image can help students solve the regular polyhedron’s vertex problemsby proper transformation of informations and the mental images while the concrete-pictorial image does nothelp. Hence, it is recommended that the mathematics teachers should develop teaching and learning materialsabout the regular polyhedron’s duality and circulation and also give students suitable questions to build thevarious mental images.
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