| 泛函分析中定理教学的改革尝试 |
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| 引用本文： | 文开庭.泛函分析中定理教学的改革尝试[J].数学教育学报,2006,15(3):99-101. |
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| 作者姓名： | 文开庭 |
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| 作者单位： | 毕节学院,数学系,贵州,毕节,551700 |
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| 基金项目： | 致谢：衷心感谢恩师吕传汉教授和项昭教授对本文的悉心指导! |
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| 摘 要： | 泛函分析中的定理可分为3类：内容和证法都重要的定理，重要定理的引理、推论及过渡性质、例题性质的定理，重要定理的明显的等价性定理和枝叶性定理．泛函分析的教学过程应包含6个环节：指导预习，复习引入，形成假说，校正推证，反思回顾，复习巩固．
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| 关 键 词： | 泛函分析 教学改革 教学方法 |
| 文章编号： | 1004-9894（2006）03-0099-03 |
| 收稿时间： | 2006-03-01 |
| 修稿时间： | 2006-03-01 |
Reform Tries at Teaching and Learning of Theorems in Functional Analysis |
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| WEN Kai-ting.Reform Tries at Teaching and Learning of Theorems in Functional Analysis[J].Journal of Mathematics Education,2006,15(3):99-101. |
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| Authors: | WEN Kai-ting |
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| Institution: | Department of Mathematics, Bijie College, Guizhou Bijie 551700, China |
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| Abstract: | By the example of the teaching and learning of Hahn-Banach theorems, combining teaching reality and the research achievement concerned modern education theory, this paper introduced the reform tries at teaching method of theorems in functional analysis, put forward three categories of the theorems and six links in the course of the theorems teaching in this curriculum, guiding preparing lessons before class, review and introduction, forming hypotheses, rectifying and reasoning, retrospect, review and consolidation. |
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| Keywords: | functional analysis teaching reform teaching method |
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