类比思维在高等数学中的应用

The Application of Analogical Thinking in Higher Mathematics

类比法是指一类事物所具有的某种属性,可以推测与其类似的事物也具有这种属性的推理方法。类比法是数学研究中最基本的创新思维形式。在数学中,采用类比法有助于学生对基本知识的理解和掌握,用已学知识和新知识进行类比,更容易地接受新知识巩固旧知识,并且无形中培养了学生的类比思维。

Method of Analogy is a inference method that if one kind of thing has some attribute, a similar thing also has such attribute can be conjectured. Method of Analogy is the most basic innovation thinking form in Mathematics study. In Mathematics, the Method of Analogy is helpful for students to understand and master the basic knowledge, use the old knowledge and new knowledge to make analogy so that the students can accept new knowledge more easily and consolidate old knowledge, and cultivate students＂ Analogical thinking imperceptibly.