类比法教学的特点及运用研究

发布时间：2018-04-13 09:13

本文选题：类比法 + 中学数学　；参考：《温州大学》2015年硕士论文

【摘要】：数学方法论包括两种不同的研究对象:论证和猜想.论证是采取逻辑规则进行严密推理的过程,它追求的目标是无可置疑的可靠性.猜想则是模糊的、不确定的,但是猜想有时又是伟大发现的必要前提.在数学中,引发人们进行猜想的主要包括实验(试验)、类比和归纳,本研究主要聚焦类比法在教学中的运用.类比法是中学数学中一种重要的数学方法,它在教学中具有广泛运用的同时也起到了非常重要的作用.教师在数学教学中也较多地使用类比法进行教学,但是在教学中也往往会出现这样一些值得研究的问题:(1)数学教师对类比法的认识和使用情况;(2)类比法运用在教学中的优点和不足;(3)类比法在教学中的运用等.本研究主要采用文献法、比较研究法、调查法等进行.主要针对数学教学过程中使用类比法进行教学出现的问题进行分析,并为数学教师在以后的教学中如何擅于使用类比法提供一些参考性的建议,本次研究的范畴主要定位在中学数学教学.
[Abstract]:Mathematical methodology includes two different research objects: argumentation and conjecture.Argumentation is a process in which logic rules are adopted for strict reasoning, and its goal is unquestionable reliability.Conjecture is vague and uncertain, but it is sometimes a prerequisite for great discoveries.In mathematics, people's guess mainly includes experiment (experiment, analogy and induction), this study mainly focuses on the application of analogy in teaching.Analogy is an important mathematical method in middle school mathematics, which is widely used in teaching and plays a very important role at the same time.Teachers also use analogy in mathematics teaching.However, in teaching, there are also some problems worth studying: (1) Mathematics teachers' understanding and use of analogy; (2) the advantages and disadvantages of applying analogy in teaching and so on) the application of analogy in teaching and so on.This research mainly uses the literature method, the comparison research method, the investigation method and so on.This paper mainly analyzes the problems of using analogy in mathematics teaching, and provides some reference suggestions for mathematics teachers to be good at using analogy in the future teaching.The scope of this study is mainly located in middle school mathematics teaching.
【学位授予单位】：温州大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

【参考文献】