This research is a study of fashion design that applied formative features of formal beauty of architecture into clothing design; we focused on Gaudi's architectural style as well as Art Nouveau style that became popular from the end of the 19th century to the beginning of the 20th century. We noted that in general the simple and flat features of cloth impose a limitation on the expression of formal features in clothing design, but a unique diversity of designs can be achieved, evoking a sense of freshness by an ideal combination of flat patterns and draping. The aim of this research is to present a possibility of extending the sphere of design expression by creating threedimensional clothes with pattern-cutting skills and applications of three-dimensional patterns as well as flat patterns found in Gaudi's works of architecture that are distinguished in curvaceousness and formal beauty. As for the research method, we reviewed previous studies by making a close review of books, papers, the pictures and web sites related to this topic. We made our clothes on the basis of this theoretical consideration. We found the following points. First, by presenting a work of fashion inspired by architectural designs, we realized that formal beauty in architect can become a motive for clothing design in a broad scale by noting the formal images, decoration details, and formative features of architectural works. Second, the characteristic lines of Gaudi's architecture are suitable to be adapted for expressing the detailed lines of decoration in clothes. Third, we can express formative beauty in clothes by highlighting the variation of shapes and lines through various attempts of change in background pattern, even though there is a limitation in the availability of cloth material because we must choose pieces of cloth with right texture and thickness that can be cut and sewn appropriately to express formative beauty. Fourth, we confirmed that it was possible to create unique formative designs by a creative application of both flat and three-dimensional cutting.

본 연구의 목적은 현행 전통적인 대수 교육에 대한 대안으로 떠오르고 있는 ‘패턴에 기초한 대수 교육’의 의미와 방법을 살펴보고, 우리나라 학생들에게 적용한 결과를 바탕으로 패턴에 기초한 대수 교육으로의 관점 전환을 위한 기초 자료를 제시하는데 있다. 패턴에 기초한 대수 문제해결 과정은 일반화 전략을 개발하게 하고, 수학적인 표현 도구의 발달을 자연스럽게 이끌기 때문에 대수적인 감각을 향상시키는 데 유용한 것으로 알려져 있다. 이에 기초하여 이 연구에서도 분석의 주요 초점을 일반화 전략 및 수학적 표현 방법에 둘 것이다. 일반화 전략은 Lannin(2005)의 연구결과를 참고하여 분석했으며, 수학적 표현은 Nakahara의 표현 체계 중 시각적, 언어적, 기호적 표현을 바탕으로 분석하였다. 또한 문자를 이용하여 형식화할 수 있는지 여부까지 확인하였다.