“数列极限夹逼准则”微课教学设计  

Design of Micro-lecture Teaching of"Squeeze Criterion for Sequence Limits"

作　　者：郑琴[1] 张晴霞[1] 陈亚丽[1] ZHENG Qin;ZHANG Qing-xia;CHEN Ya-li(College of Science,Southwest Petroleum University,Chengdu,Sichuan 610500,China)

机构地区：[1]西南石油大学理学院,四川成都610500

出　　处：《教育教学论坛》2020年第32期279-281,共3页Education And Teaching Forum

基　　金：2018年西南石油大学项目“‘移动互联网+’背景下基于泛在学习视角的生态课堂建设”;2018年西南石油大学项目“高等数学课程思政示范课程”。

摘　　要：以高等数学课程中的“数列极限夹逼准则”知识点为例,针对微课教学独特的教学设计方式,通过对引例的分析和解决,激发学生战胜困难的决心,让学生感受探索知识、解决问题的乐趣,培养学生学习数学知识的兴趣;着重从分析教学目标、分解重难点入手,针对有限项的和及无穷项的和两种情形,提出通过放缩得到参照数列的几种方案,对有限项和的缩小项进行重点阐述,提出合理的缩小方案;使学生可以通过微课学习了解数列极限夹逼准则的思想来源、背景及蕴含的数学文化和思想方法,并学会用此定理计算数列极限。Taking"squeeze criterion for sequence limits’of advanced mathematics as an example,and in view of the unique way of teaching design of micro-lecture,this paper analyzed the cited cases in order to motivated the students to overcome difficulties,so that students can feel the fun of exploration and solving problems,and develop their interest in learning mathematical knowledge.This paper focuses on analyzing the teaching objectives and decomposing the important and difficult points.Aiming at the two situations of the sum of finite items and the sum of infinite items,several schemes for obtaining the reference sequence by scaling are proposed.This article focuses on the finite items and the reduction items,and proposes a reasonable reduction plan.Through the micro-lecture,students can understand the source of thought,background,and the mathematical culture and thinking methods behind the"Squeeze Criterion for Sequence Limits",and learn to use this theorem to calculate the limit of a sequence of numbers.

关 键 词：微课 夹逼准则 教学设计 

分 类 号：G642[文化科学—高等教育学]