数列极限定义的一种分层次讲解方法  

A Hierarchical Teaching Method about Definition of Sequence Limit

作　　者：刘建强[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《兰州文理学院学报（自然科学版）》2015年第5期99-102,共4页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：宁夏自然基金(NZ12116)

摘　　要：数列极限的定义是高等数学以及数学分析课程开篇阶段的一个重点,它对数列极限概念的理解、函数极限的定义及理解乃至整个高等数学、数学分析课程都起到至关重要的作用,对讲好它有重要意义.然而,它又是一个难点,涉及变量多、逻辑复杂、与中学数学思维方式上的不同等等,都增加了学生接受和理解的困难.这里给出了数列极限定义的一种分层次讲解方法,不要求学生一次掌握,在学生分层次掌握时,不至于每次看到整个定义而产生恐惧和烦躁心理,更容易理解和把握.The definition of sequence limit is a key point at the beginning of Higher Mathematics or Mathematical Analysis.It is essential to the understanding of the sequence limit,the definition of function limit and even to the whole course in Higher Mathematics and Mathematical Analysis.Thus it is worth paying special attention.It is,however,difficult to explain to students since it refers to so many variables and complicated logic,which are different in the way of thinking from high school mathematics and so on.These make it even difficult for students to accept and understand.Here a hierarchical teaching method is suggested,by which students don＇t have to understand the whole definition of sequence at one time,but need only to accept one or several layers at each time.By this method the anxiety of students can be avoided as it is made easier to understand and grasp.

关 键 词：数列极限 Ε-N语言 分层次讲解 

分 类 号：O13[理学—数学]