数学教育学报2011，Vol.20Issue(5)：20-23,4.
HPM视角下的数学教学设计：以椭圆为例
Teaching Mathematics from the Viewpoint of HPM： the Case of the Ellipse
摘要
Abstract
The teaching design from the viewpoint of HPM is mainly based on the genetic principle,which asks for a topic to be taught according to its reconstructed history.In this paper,the history of the concept of the ellipse is examined and reconstructed.Based on the reconstructed history,the genetic approach to its teaching is designed and practiced in a senior middle school in Shanghai.Senior middle school students＇ opinions on this approach is investigated through a questionnaire survey.It is found that students have no difficulty in understanding the derivation of the focal-radii property of the ellipse by means of the Dandelin sphere and the teaching design based on the history of mathematics is more preferable than that based on the textbook.关键词
椭圆/椭圆的定义/椭圆的方程/发生教学法/旦德林球Key words
ellipse/definition of the ellipse/the equation of an ellipse/genetic approach to teaching/the Dandelin sphere分类
社会科学引用本文复制引用
汪晓勤,王苗,邹佳晨..HPM视角下的数学教学设计：以椭圆为例[J].数学教育学报,2011,20(5):20-23,4.基金项目
上海市2008年度教育科学研究项目——数学史与数学教育关系研究 （）
