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浸润数学文化的极限概念案例教学
引用本文:张晓光,王新霞,王春,任秋萍,张亚平. 浸润数学文化的极限概念案例教学[J]. 高师理科学刊, 2016, 0(4): 53-58. DOI: 10.3969/j.issn.1007-9831.2016.04.015
作者姓名:张晓光  王新霞  王春  任秋萍  张亚平
作者单位:黑龙江科技大学 理学院,黑龙江 哈尔滨,150022
基金项目:黑龙江省高等教育教学改革项目(JG2013010493);黑龙江省高等教育学会“十二五”高等教育科研项目(14G106);黑龙江科技大学教学研究项目(JY14-133)
摘    要:在高等数学教学中浸润数学文化是培养大学生良好数学素养的有效手段.将诗歌、数学史以及具有数学文化背景的具体案例引入数列极限概念教学,再应用类比法进行函数极限概念教学,有利于降低极限概念的抽象度,提升学生的数学素养.

关 键 词:数学素养  数学文化  极限  案例教学  类比法

The case teaching of limit concept infiltrated with mathematical culture
ZHANG Xiao-guang;WANG Xin-xia;WANG Chun;REN Qiu-ping;ZHANG Ya-ping. The case teaching of limit concept infiltrated with mathematical culture[J]. Journal of Science of Teachers'College and University, 2016, 0(4): 53-58. DOI: 10.3969/j.issn.1007-9831.2016.04.015
Authors:ZHANG Xiao-guang  WANG Xin-xia  WANG Chun  REN Qiu-ping  ZHANG Ya-ping
Affiliation:ZHANG Xiao-guang;WANG Xin-xia;WANG Chun;REN Qiu-ping;ZHANG Ya-ping;School of Science,Heilongjiang University of Science and Technology;
Abstract:Infiltrating mathematical culture into the teaching of higher mathematics is an effective means to cultivate students' good mathematical accomplishment.Introducingpoetry,mathematics historyinto the sequence limitconcept teachingtogether with specific cases with mathematical culture background,thenusing analogy method for the function limitconceptteaching,will helpto reduce theabstract degree oflimit concept,andenhance students' mathematical accomplishment.
Keywords:mathematical accomplishment  mathematical culture  limit  case teaching  analogism
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