[1]朱爱东,王洪福,田莲花,等.如何在数理方法教学中培养学生综合运用知识的能力——以留数定理在傅里叶级数展开问题中的应用为例[J].延边大学学报(自然科学版),2014,40(02):163-166.
ZHU Aidong,WANG Hongfu,TIAN Lianhua,et al.On fostering students’ capacity of synthetically utilizing knowledge in teaching of the methods of mathematical physics—Taking the application of residue theorem in Fourier series expansion for example[J].Journal of Yanbian University,2014,40(02):163-166.
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ZHU Aidong,WANG Hongfu,TIAN Lianhua,et al.On fostering students’ capacity of synthetically utilizing knowledge in teaching of the methods of mathematical physics—Taking the application of residue theorem in Fourier series expansion for example[J].Journal of Yanbian University,2014,40(02):163-166.
如何在数理方法教学中培养学生综合运用知识的能力——以留数定理在傅里叶级数展开问题中的应用为例
《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N]
卷:
第40卷
期数:
2014年02期
页码:
163-166
栏目:
应用科学研究
出版日期:
2014-06-20
- Title:
- On fostering students’ capacity of synthetically utilizing knowledge in teaching of the methods of mathematical physics—Taking the application of residue theorem in Fourier series expansion for example
- 分类号:
- O411.1-4
- 文献标志码:
- A
- 摘要:
- 培养学生对知识的融会贯通、综合运用的能力是数学物理方法教学的重要教学目的之一.通过运用留数定理方法求解一类复杂周期函数R(cos x,sin x)的傅里叶级数展开问题与常见的解题方法的比较,说明了知识点融合对学生理解和掌握数学物理方法以及对学习后续课程的重要影响.教师在数学物理方法教学中应注重知识点的有机融合和注重培养学生综合运用知识的能力,并提出数学物理方法教学应以培养学生的发散性思维方式和对知识的综合运用能力为首要目的.
- Abstract:
- The most important teaching aim of the methods of mathematical physics is to foster students’ capacity in synthetically utilizing knowledge. By using the residue theorem to solve the problem of Fourier series expansion for a type of complicate periodical function, and comparing with the common method, we discuss the organic integration of the knowledge points in the lesson “methods of mathematical physics”, as well as fostering the students’ capacity of synthetically utilizing knowledge. The important effects of the organic integration of the knowledge points on grasping this course and learning the other subsequent courses are illustrated. Moreover, we propose the ideas that the lesson of methods of mathematical physics should aim at fostering the divergent thinking mode and the ability of synthetically utilizing knowledge.
参考文献/References:
[1] 梁昆淼,刘法,廖国庆.数学物理方法[M].4版.北京:高等教育出版社,2010:1-375.
[2] 姚端正,梁家宝.数学物理方法[M].3版.北京:科学出版社,2010:1-340.
[3] 胡嗣柱,倪光炯.数学物理方法[M].2版.北京:高等教育出版社,2002:1-359.
[4] 斯颂乐,徐世良,高永椿,等.数学物理方法习题解答[M].天津:天津科学技术出版社,1982:145-146.
[5] 苗明川,龚云,任正.数学物理方法全程导学及习题全解[M].北京:中国时代经济出版社,2011:75-76.
备注/Memo
收稿日期: 2013-10-15作者简介: 朱爱东(1968—),女,博士,教授,研究方向为量子信息与量子光学.
更新日期/Last Update:
2014-06-20