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数学知识一环套一环,之间存在着紧密的联系,新知识其实就是旧知识点的发展运用,是一种引申。因此,新知识是对旧知识的一种回顾,对旧知识的理解掌握是学习新知识的基础。这其中,类比的方法成为新旧知识联系的纽带,它既加强了知识间的纵向沟通,同时又鲜明地展示了知识的获取过程,能够形成清晰的知识脉络,能够把新知识纳入原有认知结构中。类比法在初中数学教学中占据重要地位,在数学知识中,许多对概念、定理、法则的运用方法都是通过类比法得到的。下面我就根据自己这些年的教学实践,谈几点教学中运用类比的做法。
There is a close relationship between a set of mathematical knowledge and a new one. In fact, the new knowledge is the development and application of the old knowledge points, which is an extension. Therefore, new knowledge is a review of old knowledge, understanding and mastery of old knowledge is the basis for learning new knowledge. Among them, the method of analogy has become a link between the old and the new knowledge, which not only strengthens the vertical communication between knowledge, but also clearly shows the process of obtaining knowledge, can form a clear knowledge, and can incorporate new knowledge into the original cognition Structure. Analogy occupies an important position in junior high school mathematics teaching. In mathematical knowledge, many methods of applying concepts, theorems and rules are obtained by analogy. Here I am based on their own teaching practice these years, talk about teaching the use of analogy approach.