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高中新教材定积分概念教学中蕴涵的数学基本思想
引用本文:敖占一,邓鹏. 高中新教材定积分概念教学中蕴涵的数学基本思想[J]. 达县师范高等专科学校学报, 2009, 19(5): 108-109
作者姓名:敖占一  邓鹏
作者单位:西华师范大学数学与信息学院,四川,南充,637002 
摘    要:从求曲边梯形的面积和变速直线运动的路程两个实际问题出发,抽象出定积分的概念这一教学过程。剖析了蕴涵其中的分解、化归、归纳、符号、代换等数学基本思想。

关 键 词:数学思想  分解  化归  归纳  符号

Mathematical Thinking in Definite Integral Teaching in Senior High Schools
AO Zhan-yi,DENG Peng. Mathematical Thinking in Definite Integral Teaching in Senior High Schools[J]. Journal of Daxian Teachers College, 2009, 19(5): 108-109
Authors:AO Zhan-yi  DENG Peng
Affiliation:Department of Mathematics and Information;China West Normal University;Nanchong Sichuan 637002;China
Abstract:This paper has probed into how to reach a conclusion of the definition of definite integral from solving problems of area of trapezoid with curved and the journey of variable rectilinear motion in the teaching,and then analyzed the application of the basic mathematical ideas such as decomposing,division,transforming,induction,symbol and substitution.
Keywords:mathematical thinking  decomposing  transformation  induction  symbol  
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