| 数学教学中的类比推理 |
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| 引用本文： | 黄波.数学教学中的类比推理[J].衡阳师范学院学报,1994(6). |
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| 作者姓名： | 黄波 |
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| 摘 要： | 针对数学教学中只注重演绎论证的现状,用实例说明了类比推理是进行发现性数学思维的有效方法;列举数学分析、复变函数、矢量分析等教学中大量可作类比的材料和“用类比推导定理”“用类比寻找习题解法”两教学实例,阐述了类比推理能培养学生举一反三、触类旁通地独立分析问题和解决问题．是数学中进行再创造的主要方法;通过对微分中值定理六种证法思维共性和异性的分析对比,指出了类比教学应因材施教,教师应能广泛而有效地运用类比推理于教学之中,以培养学生创造性思维能力。
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| 关 键 词： | 数学教学 类比推理 创造性思维能力 |
THE REASONING FROM ANALOGY IN MATHEMATIC TEACHING |
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| Huang Bo.THE REASONING FROM ANALOGY IN MATHEMATIC TEACHING[J].journal of Hengyang Normal University,1994(6). |
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| Authors: | Huang Bo |
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| Abstract: | In view of the existing situation that only the deductive inference is paid attention to,this thesis illustrates with examples that reasoning from analogy is an efficient way to practiSe creative mathematic thought; enumerates a lot of analogable mathematic materials,such as mathematic analysis,function of a complex yiarable,vector analysis and cites two examples of "deducing the orems by analogy"and "finding keys to the execies by analogy"; and elaborates that reasoning form analogy is a key method to recreste in mathematics,it can make the students obtain the abil ity to analyse and sowe the problems individually and the ability to judge the whole from one part . Through the analysis and contrast of the similarities and defferences in the thought of defferen tial mean,the thesis points out that students should be taught in accordance with their aptitude and the teachers should be able to apply the reasoning from analogy in mathematic teaching wide Iy and efficiently to develop their capability of creative thought. |
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| Keywords: | mathematic teaching reasoning from analogy capability of creative thought |
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