一些高等数学知识在中小学数学中的体现  

Higher mathematical knowledge embodied in elementary mathematics

作　　者：何立官[1] 晏燕雄[2] 

机构地区：[1]重庆师范大学数学学院,重庆400047 [2]重庆教育学院数学系,重庆400067

出　　处：《重庆教育学院学报》2012年第3期78-79,107,共3页Journal of Chongqing College of Education

基　　金：重庆市科委自然科学基金计划资助项目(cstc2011jjA00020);重庆教委科技项目(KJ110609);重庆教育学院院级教改项目(JG201230)

摘　　要：高等代数和数学分析是高校数学专业学生的基础课程之一。同学们普遍感到这些课程抽象,不易理解,且应用性不强,似乎对中小学数学教育没有实质性帮助。本文主要介绍坐标变换公式,哥西-施瓦兹不等式(Cauchy-Schwarz)在中小数学中的体现,以期对广大数学专业学生有所帮助,从而改变他们对高等数学的认识。Higher Algebra and Mathematical Analysis are fundamental courses for the college students of mathematics specialty. But most of the students think that these courses are difficult to understand and useless to elementary mathematics teaching. In view of these issues, this article introduces the knowledge like Coordinate Transformation formula, Cauchy-Schwarz inequality embodied in elementary mathematics so as to help the students have a better understanding of higher mathematics.

关 键 词：高等数学 初等数学 坐标变换公式 哥西-施瓦兹不等式 

分 类 号：O411.1[理学—理论物理]