| 一阶常微分方程与概括总结能力 |
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| 引用本文： | 套格图桑.一阶常微分方程与概括总结能力[J].内蒙古大学学报(自然科学版),2012,43(3):319-328. |
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| 作者姓名： | 套格图桑 |
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| 作者单位： | 内蒙古师范大学数学科学学院,呼和浩特,010028 |
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| 基金项目： | 国家自然科学基金，内蒙古自治区高等学校科学研究基金，内蒙古自治区自然科学基金资助项目 |
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| 摘 要： | 数学能力的核心就是概括总结能力.以一阶非线性常微分方程为主要内容的辅助方程法,在非线性发展方程求解领域获得了显著成果.从概括总结这些研究成果的过程中得到启示,用一阶常微分方程为应用实例,在本科生的教学过程中对怎样培养学生的概括总结能力进行了研究.概括、总结能力指概括总结公式本质、计算方法本质和概念本质的能力.
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| 关 键 词： | 概括总结能力 一阶微分方程 本科教学 辅助方程法 |
First-Order Differential Equations and Ability of Summarizing |
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| Taogetusang.First-Order Differential Equations and Ability of Summarizing[J].Acta Scientiarum Naturalium Universitatis Neimongol,2012,43(3):319-328. |
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| Authors: | Taogetusang |
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| Institution: | Taogetusang(College of Mathematical Science,Inner Mongolia Normal University,Hohhot 010022,China) |
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| Abstract: | The kernel of mathematical ability is the ability of summarizing.The auxiliary method whose main parts is a first-order differential equation has obtained significant results in the solving field of nonlinear evolution equations.Based on the inspiration of the results,a first-order differential equation is taken as an application example to discuss how to train undergraduates′ ability of summarizing in teaching process.The ability of summarizing includes summarizing the nature of formula,calculation methods and concepts. |
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| Keywords: | ability of summarizing first-order differential equation undergraduate teaching auxiliary method |
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