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类比法是人们思考与学习的基本的思维方法,在数学教学中,类比法有着非常广泛的应用,不仅在新知识的讲授方面,而且在学生解题思维方式的培养方面都经常会应用到类比的思维方法.下面我们分别看看类比法在教学中的几例应用.一、在新知识的学习方面的类比1、解一元一次不等式与解一元一次方程类比教过解一元一次方程后,再去教解一元一次不等式,老师如果能很好的将两个类比起来进行教学,就会感到轻松很多,因为解一元一次不等式与解一元一次方程有许多共通的地方,其思维的方式基本相同,学生在原有的基础上只需要再注意不等号的方向就可以了,例如:
Analogy is the basic thinking method of thinking and learning. In analog teaching, analogy has a very wide range of applications, not only in the teaching of new knowledge, but also in the development of students’ problem-solving way of thinking are often applied to the analogy The following way we look at the analogy in teaching a few examples of applications.An analogy in the study of new knowledge 1, solution of a unitary inequality and solution A dollar analogy teach a dollar equation, and then To teach a one-time inequality, the teacher can feel a lot easier if he or she is good at teaching the two analogues, because there is much in common between the one-time inequality solution and the one-time one-way equation, and the way of thinking is basically the same, Students on the basis of the original only need to pay attention to the direction of the inequality on it, for example: