中学数学类比法教学的实践研究

发布时间：2018-09-14 12:59

【摘要】：数学方法在中学数学中的运用非常广泛,数学方法是数学知识内容的核心部分,其中最常用的方法就是类比。在数学教学中运用类比法教学可以帮助学生理解新知识,拓展学生的思维方式,提高学生的创新意识和创新能力。文章主要运用文献综述法、问卷调查法和案例分析法等研究方法,对沙雅县学生对类比推理的掌握情况以及数学教师运用类比法教学的现状进行调查,分析调查研究结果并探讨其产生原因,并通过实际的教学案例以及对教学案例的分析来探索类比法教学的实践途径。研究主要结论如下:中学生运用类比推理解决数学问题的能力还是比较低;中学数学教师对类比思想内涵的理解较为全面,但在教学中的运用方面显得不足;教师应在教学过程中多运用类比方法进行教学,培养学生的类比推理能力;教师在教学中起着至关重要的作用,所以教师必须提高自身的专业能力,深入研究教材,挖掘教材中的类比思想,从各个方面全方位、多角度地运用教学策略进行类比法教学,提高学生的创新思维。对类比法教学做的研究,期望在中学教学中,类比方法能得到数学教师的重视,提高对类比法教学重要性的认识,从而能有意识地实践类比法教学。也希望更多的老师来参与这方面的研究,使类比方法在不同的领域得以发展并完善。
[Abstract]:Mathematics method is widely used in middle school mathematics. Mathematics method is the core part of mathematics knowledge content, among which the most commonly used method is analogy. Analogical teaching in mathematics teaching can help students to understand new knowledge, expand students' thinking mode, and improve students' innovative consciousness and ability. This paper mainly uses the methods of literature review, questionnaire investigation and case analysis to investigate the students' grasp of analogical reasoning and the present situation of mathematics teachers' teaching by analogy in Shaya County. This paper analyzes the results of investigation and research and discusses the causes, and explores the practical ways of analogical teaching through the actual teaching cases and the analysis of teaching cases. The main conclusions of the study are as follows: the ability of middle school students to solve mathematical problems by analogy reasoning is still relatively low, the middle school mathematics teachers' understanding of the ideological connotation of analogy is relatively comprehensive, but the application of analogy in teaching is insufficient; In the process of teaching, teachers should use analogy method to teach and cultivate students' ability of analogical reasoning, teachers play an important role in teaching, so teachers must improve their own professional ability and deeply study teaching materials. This paper excavates the analogy thought in the teaching material, uses the teaching strategy to carry on the analogy method teaching from each aspect omni-directionally, enhances the student's innovation thought. The research on analogy teaching expects that in middle school teaching, analogy method can be paid more attention to by mathematics teachers, and the importance of analogy teaching can be improved, so that the teaching of analogy method can be practiced consciously. It is hoped that more teachers will participate in the research so that analogy methods can be developed and perfected in different fields.
【学位授予单位】：新疆师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6

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