| 数学方法论在高等数学教学中的作用 |
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| 引用本文： | 侯学萍.数学方法论在高等数学教学中的作用[J].平原大学学报,2006,23(5):80-83. |
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| 作者姓名： | 侯学萍 |
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| 作者单位： | 河南师范大学,数学与信息科学学院,河南,新乡,453007 |
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| 摘 要： | 数学方法论是提高数学教学质量的有效工具,将数学方法论应用于概念教学中,展示概念的形成过程,用类比与联想揭示概念之间的联系、异同,注重概念体系的建立;将数学方法论应用于定理教学中,充分暴露如何用类比、归纳、演绎以及形象思维探索新证法的过程;将数学方法论用于解题教学,在讲解典型例题和习题时向学生传授常用的解题方法。从而达到帮助学生形成正确的数学观念和优秀的数学精神。
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| 关 键 词： | 数学方法论 高等数学 数学教学 思想方法 |
| 文章编号： | 1008-3944（2006）05-0080-04 |
| 收稿时间： | 2006-04-27 |
| 修稿时间： | 2006-06-12 |
The Function of Mathematics Methodology in Advanced Mathematics Teaching |
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| HOU Xue-ping.The Function of Mathematics Methodology in Advanced Mathematics Teaching[J].Journal of Pingyuan University,2006,23(5):80-83. |
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| Authors: | HOU Xue-ping |
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| Abstract: | The mathematics methodology is the effective tool to improve mathematical teaching quality,It can show formative process of conception to apply mathematics methodology to conception teaching,It can also reveal the relation and difference among conceptions by analogy and association and pays attention to the establishment of conception system.It can expose sufficiently the process of how to explore new methods by analogy,induction,deduction and visual thinking to apply mathematics methodology to theorem teaching.By applying mathematics methodology to teaching of solving questions,the methods in common use can be imparted to students while typical praxises and exercises are explained.So as to help students form right mathematical ideas and excellent mathematical spirit. |
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| Keywords: | mathematics methodology advanced mathematics mathematics teaching anamnesis method |
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