A Study of Learning Ellipse with Dynamic Linked Multiple Representations Windows

• Main Authors: Tsay, Jyh-Ren, 蔡志仁
• Other Authors: Tso, Tai-Yih
• Format: Others
• Language: zh-TW
• Published: 2000
• Online Access: http://ndltd.ncl.edu.tw/handle/61965092889608537024

碩士 === 國立臺灣師範大學 === 數學研究所 === 88 === This study initially investigated the learning processes of high-school students and how they represent elliptical concepts and interlink them. The results were used to develop computer based instructional tools. The way in which these tools affected the student’s representations was then studied. The research was in two parts: Initially nine student volunteers participated in the study; each was given diagnostic teaching. It was found that the main external representations of elliptical concepts are verbal, graphical, structural, formulaic, and locus representation. Students were found to have different ways to develop their elliptical concepts, according to their initial knowledge. When students could represent the problem and their related ideas in terms of graphical representation, then they could develop links between different representations, and could thus solve problems more easily. In the second part of the research two high school classes were compared. A computer-based dynamic linked multiple representation Windows learning environment was used to teach one class. The results showed that students could make significant progress when taught in this way. The progress scores of the experimental group were higher than the control group, but this was not statistically significant. It was found that the experimental group tended to employ graphical representation as their main representation and use it to integrate the other representations. This paper analyses high school instruction for teaching elliptical concepts, looking in particular at the process by which students construct multiple elliptical representations. It also gives insights into the design of computer-based dynamic linked multiple representation Windows learning environments