关于数学归纳法的几个问题

On Several Problems in Mathematical Deduction

数学归纳法是中学数学教学内容中的重点与难点之一。重点是因为数学归纳法使用面比较广;难点则是因为它是学生第一次接触从有限到无限的认识方式,也初步认识自然数的“后继”特征,同时涉及到的知识和技巧较多。本文讨论了数学归纳法与归纳法的关系、数学归纳法的理论依据、基本形式和教学中较多出现的现象等。

Mathematical deduction is one of key and different points in middle school mathematics teaching. It is a key point because it is widely used; it is a difficult point because it is the first time for students to contact the way of realizing finite and infinite, thus recognizing subsequence trait in natural number. It deals with various knowledge and techniques. This essay is to discuss the relationship between mathematical deduction and deduction, theoretical basis, its basic form and problems in teaching.