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反常积分教学内容设计
引用本文:陈剑军,徐涛.反常积分教学内容设计[J].数学学习,2011(6):42-44.
作者姓名:陈剑军  徐涛
作者单位:宁波大红鹰学院,浙江宁波315327
基金项目:基金项目:浙江省教学团队建设项目(JBT09056).
摘    要:考虑到反常积分教学中的几个难点环节,探索以教师为主导的教学内容设计:根据学生知识的“最近发展区”和兴趣对教学内容进行整合、补充,构架课堂教学的三个模块:引入问题、探索结论、推广创新.教学实践表明:该设计可成功引导学生逾越难点环节.

关 键 词:反常积分  敛散性  最近发展区

Teaching Redesign for Improper Integrals
CHEN Jian-Jun,XU Tao.Teaching Redesign for Improper Integrals[J].Studies In College Mathematics,2011(6):42-44.
Authors:CHEN Jian-Jun  XU Tao
Institution:(Ningbo Dahongying Univeristy, Ningbo 315327, PRC)
Abstract:Students are challenged by several key difficulties of improper integrals. This paper provides some ideas of teaching redesign which, bases on students' interests and their zones of proximal development, reorganizes teaching discussion, and conclusion/creation. Our teaching contents into three modules: introduction, practice reveals that the redesign approach has helped our students to overcome successfully the mentioned difficulties.
Keywords:improper integral  convergence and divergence  the zone of proximal development
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