HPM视角下无穷级数概念的教学设计

A Teaching Design of Series Based on the HPM Method

基于HPM视角,在"双层空间"理论框架下,探讨无穷级数的教学设计.通过介绍无穷级数理论产生的背景和历史,预见和解释学生学习困难的原因,有效地将知识空间和活动空间融合,促成学生对级数概念的深刻理解,学到比课本内容宽泛的知识,领会无穷级数的教育和文化价值.

This paper explores the infinite series of instructional design under the framework of the“double-space”theory based on the HPM perspective.We foresee and explain the causes of students’learning difficulties,integrate knowledge space and activity space effectively,promote students’profound understanding of the concept of series,and learn a broader knowledge than textbook,understand the education and cultural value of the infinite series,by introducing the background and history of the infinite series theory.