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数学思想在高等数学教学中的实证研究
引用本文:郭慧莹,张国志. 数学思想在高等数学教学中的实证研究[J]. 边疆经济与文化, 2006, 0(8): 127-129
作者姓名:郭慧莹  张国志
作者单位:哈尔滨师范大学,教育技术学院,黑龙江,哈尔滨,150080;哈尔滨理工大学,应用科学学院,黑龙江,哈尔滨,150080
摘    要:在高等数学中常用的数学思想有:极限思想、化归思想、数形结合思想、关系映射反演思想(RMI原则)、整体与局部思想、推理思想、函数思想.在教学中有意识地进行数学思想的渗透、提炼和归纳,对提高学生的数学能力有着显著的作用.

关 键 词:高等数学  数学思想  教学  实证研究
文章编号:1672-5409(2006)08-0127-03
收稿时间:2006-01-16
修稿时间:2006-01-16

The real diagnosis studies of the mathematics thought in the higher mathematics teaching
GUO Hui-ying,ZHANG Guo-zhi. The real diagnosis studies of the mathematics thought in the higher mathematics teaching[J]. The Border Economy and Culture, 2006, 0(8): 127-129
Authors:GUO Hui-ying  ZHANG Guo-zhi
Abstract:This article summarized some mathematics thoughts which are commonly used in higher mathematics.Such as(limit) thought,transfomation thought,the thought of combine of number and shape,relational mapping inversion thought((RMI principle)),the thought of entirety and part,inference thought and function thought.After the real diagnos is studies,we indicate that consciously carrying on osmosis,refinement and induction of mathematics thought in higher mathematics teaching is remarkably helpful to improve students' mathematic ability.
Keywords:the higher mathematics   mathematics thought   teaching   real diagnosis studies
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