摘要
本文研究了基于非完全逻辑范式的无穷级数的教学问题。首先,提出了非完全逻辑范式的概念,然后利用非完全逻辑范式探索了几种幂级数的展开方法。所给出的这些方法视角新颖、运算简便,既可以帮助学生深刻地理解级数的相关知识,更重要的是能够激励学生的创新意识、发展他们的创新能力。最后探讨了傅里叶级数的教学问题。
This paper deals with the teaching problems of infinite series based on non-fully logic model.Firstly,the conception of non-fully logic model is proposed.Secondly,by non-fully logic model,several approaches of the power series expansion are given.The presented approaches are novel and easy to operate.These approaches can not only help students to deepen understanding the related knowledge of series,but more importantly,they can stimulate students′innovation consciousness and develop their innovation ability.Finally,the teaching problem of Fourier series is investigated.
作者
王以忠
WANG Yi-zhong(Department of Basic Courses,Shandong University of Science and Technology,Taian,Shandong 271021)
出处
《牡丹江大学学报》
2019年第8期136-140,共5页
Journal of Mudanjiang University
基金
山东省教育科学规划课题资助项目(YBS15002)
关键词
非完全逻辑
范式
无穷级数
创新
non-fully logic
model
infinite series
innovation
作者简介
王以忠(1963-),男,山东菏泽人,山东科技大学副教授,研究生导师,博士,研究方向:大学数学课程论与随机系统控制理论