中学数学中构造法解题的思维模式及教育价值

摘要

在中学数学范围内,构造法是一种较为常见、富有特点的解题方法,其非常规性与创造性的思维特点受到一定的认同.构造法解题的4类思维模式包括:考虑特殊情形、联想与关联、命题转换和间接构造.在中学数学教育中融入构造法解题,具备一定的基础.将构造法解题渗透于教学实践中,有拓宽思维、培养创造力的特殊意义和教育价值.%Constructive method was a commonly used method, with its distinctive feature, in high school mathematical problem solving. The unconventionality and creativeness of thinking in applying constructive method was generally recognized. This paper put forward 4 kinds of thinking patterns in utilizing constructive method, including consideration of special cases, association and connection, propositional transformation, and indirect construction, which were illustrated by a further example. It had a certain basis to integrate the problem solving by constructive method into high school mathematics education. The instructional practice would be of educational significance in expanding students' thinking and forstering their creativity.