Design of Linear and Affine Transformations in Dynamic Geometry Software

• Main Authors: Bing-Cheng Weng, 翁秉承
• Other Authors: 張鈞法
• Format: Others
• Language: zh-TW
• Published: 2009
• Online Access: http://ndltd.ncl.edu.tw/handle/84479067086602601365

碩士 === 國立臺灣師範大學 === 資訊工程研究所 === 98 === Educationists hope that dynamic geometry software tool can apply instruction on courses, above all advanced math. If the software designs well, it will be useful for proofing math theorems and solving questions. In order to these thoughts, we dicuss a research theme how to design a dynamic geometry software on linear and affine transformation.The software’s benefit is that we not only control translation matrix very simply, but also look its result instantly. By the method, students can conjecture the relation between linear translation and SVD and then realize their geometry principle. Finally, catching on affine transformation property. Moreover, we use game principle to design the software. We hope we may increase study interest and their motivation by combining teaching with video game.