Teaching Undergraduate Mathematics on the Internet     

Johann?EngelbrechtEmail author  Ansie?Harding 《Educational Studies in Mathematics》2005,60(2):253-266

This is Part 2 of a two-part study of how APOS theory may be used to provide cognitive explanations of how students and mathematicians might think about the concept of infinity. We discuss infinite processes, describe how the mental mechanisms of interiorization and encapsulation can be used to conceive of an infinite process as a completed totality, explain the relationship between infinite processes and the objects that may result from them, and apply our analyses to certain mathematical issues related to infinity.  相似文献   

等价无穷小的性质及其应用举例     

李涛 《吕梁高等专科学校学报》2009,25(1)

论述了等价无穷小的概念及性质,通过举例,对比了不同情况下等价无穷小的应用及其在应用过程中应注意的一些性质条件,使原本复杂的问题简单化.  相似文献   

关于无穷多个无穷小的乘积的一些思考     

黄宇晨  梁志瑶 《江西教育学院学报》2007,28(6):8-9

文章对"无穷多个无穷小的乘积不一定是无穷小"这一知识点在"高等数学"或"数学分析"的教学中如何讲授给学生进行了一些有益的探讨,并给出了一些在现有教科书及参考书中未曾见过的独创的新例子,从而丰富了教学内容。  相似文献