기초디자인 교육을 위한 수학적 제재의 모형화 연구

Abstract

This study is what considered the appearance of value as a means of basic design education in a series of process that elicits the development of prototype in mathematical material, namely, the common principle in shape creation immanent in mathematical formation, and that proceeds with making this as actual shape. As a result of analyzing a representative mathematical work, symmetry could be found as the universal principle of shape formation. The shape creation structure in formation based on symmetry was clarified to be possibly formalized as a system-based model of Cell-Unit-Structure. Also, it examined the application of mathematical principle and the formative effect according to it while making the plane and dimensional model based on a prototype. Ultimately, the development of prototype in mathematical material has proposition as the full understanding about knowledge and formative phenomenon of mathematical principle. Hence, the development of prototype can be said to promote logical thinking such as understanding a concept, classifying a type, and establishing a proper concept. However, the development of prototype is lacking merely with the understanding about concept and requires creative thinking of reconstructing phenomena such as inferring, applying, or transforming this. In this way, the development of prototype is considered to be likely able to become an educational plan available for integrating and developing students' intellectual ability and creative formative thinking into an individual's ability. The aim is to proceed with verifying effect through specific educational practice, which expresses the rhythmic structure of having correlation with modeling more originatively by employing theoretical rule, without stopping only in understanding of mathematical principle or in application of mathematical rule henceforth.