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数学分析对中学数学教学的影响

时间:2017-08-11 数学毕业论文 我要投稿

数学分析对中学数学教学的影响

摘要
                                  
广大师范类数学本科生认为大学学习数学分析对今后中学数学教学工作无任何帮助,针对这种思想,我从数学分析对1个中学数学教师素质的影响提出了自己的看法,然后讨论数学教师在中学教学中如何培养学生的猜想与创新能力﹑逻辑思维能力﹑数学建模能力等数学素质,使数学教育真正地走向素质教育.同时论文将数学分析与中学数学相对比,从不同角度阐述了数学分析的观点﹑思想在中学数学中的体现.运用这些观点、思想看待中学数学中的1些问题,师范类数学本科生会对中学数学理解得更加深刻﹑透彻.
关键词:素质;思想方法;逻辑思维能力;创新;猜想 

Mathematics analysis to mathematic influence in senior school

ABSTRACT

A large number of the undergraduate of mathematics department think universitys study of mathematics have no effect on the senior school mathematics teaching work, aiming at this kind of thought, I put forward my own viewpoint about the influence to teachers’ character by studying the mathematics analysis ;Then I discussed how to improve the students character. At the same time the thesis compared mathematics analysis with mathematics in senior school, expatiating the application of mathematics analysis’ standpoint and thought in senior school. The passage explained that the teachers’ understanding to the knowledge of senior school would be more deep and clear by making use of the standpoints and thoughts of mathematics analysis. The thesis compared the solution methods of senior school with the ones of mathematics analysis, letting person’s feeling have sudden realization.
Key words: Character; thought method; logic thought ability; creative; guess n

目   录

中文标题----------------------------------------------------------------(1)
中文摘要﹑关键词--------------------------------------------------------(1)
英文标题----------------------------------------------------------------(1)
英文摘要﹑关键词---------------------------------------------------------(1)
前言--------------------------------------------------------------------(2)
正文--------------------------------------------------------------------(3)
§1 数学分析对师范类数学本科生数学素质的培养-------------------------------(3)
1.1加强思想方法的教学,培养学生猜想创新的能力------------------------------(3)
     1.1.1局部化思想-----------------------------------------------------(5)
     1.1.2变量与函数的思想-----------------------------------------------(5)
  1.2重视知识的发现、形成过程,培养学生逻辑思维能力------------------------(7)
      1.3重视数学应用,培养学生解决实际问题的能力--------------------------(9)
§2 数学分析的原理和方法在中学数学中的应用---------------------------------(10)
2.1凸函数与凹函数的相关应用-----------------------------------------------(10)
2.2积分的应用------------------------------------------------------------(12)
2.3连续函数的介值性定理与中学奥赛数学--------------------------------------(13)
2.4函数图像与性质的拓展---------------------------------------------------(15)
§3 结束语---------------------------------------------------------------(17)

参考文献------------------------------------------------------------------(19)
致谢----------------------------------------------------------------------(20)

【包括:毕业论文、任务书】

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