• Title/Summary/Keyword: APOS Theory

### Gifted Middle School Students' Genetic Decomposition of Congruent Transformation in Dynamic Geometry Environments (역동적 기하 환경에서 중등 영재학생들의 합동변환 활동에 대한 발생적 분해)

• Yang, Eun Kyung;Shin, Jaehong
• Journal of Educational Research in Mathematics
• /
• v.25 no.4
• /
• pp.499-524
• /
• 2015
• In the present study, we propose four participating $8^{th}$ grade students' genetic decomposition of congruent transformation and investigate the role of their dragging activities while understanding the concept of congruent transformation in GSP(Geometer's Sketchpad). The students began to use two major schema, 'single-point movement' and 'identification of transformation' simultaneously in their transformation activities, but they were inclined to rely on the single-point movement schema when dealing with relatively difficult tasks. Through dragging activities, they could expand the domain and range of transformation to every point on a plane, not confined to relevant geometric figures. Dragging activities also helped the students recognize the role of a vector, a center of rotation, and an axis of symmetry.

### Analysis on Kandinsky's work as a case study of Art Therapy (미술치료모델로서의 작품분석연구 - 칸딘스키작품을 중심으로)

• 방경란
• Archives of design research
• /
• v.17 no.2
• /
• pp.383-392
• /
• 2004
• Analysis on Kandinsky's Work as a Case Study of Art Therapy. This study attempts to analyze a work of W. Kandinsky, who placed great emphasis on the relationship between the form and the color of an object, from the viewpoint of art therapy. Most papers related with fine art work analysis approach it from the aesthetical point of view and there are few attempts to interpret art works in terms of art therapy. This study tries to present a new angle to the studies of art therapy Practiced up to now and research is made on its potentiality. With an analysis on the relationship between human psychology, and color and form that convey visual language, research is made on the feasibility of art therapeutic methods through the approaches based on color psychology, Gestalt theory and perception psychology. The final purpose of this study is to apply the results to the development of illustrations, education program for children, and educational instruments and toys that will promote children's healthy emotional growth based on the color psychology and the form psychology of human being. As an initial study, a piece of Kandinsky's work, titled ' CERCLES DANS CERCLE', is analyzed as a case study of art therapy both from theoretical standpoint and from the viewpoint of art therapy. Through this effort, it can be utilized as a new case study of art therapy that will influence human emotion positively and lead to healthful emotional catharsis.