具体的数学思维过程通常是形象思维与抽象思维这两种思维方式的相互渗透、相互结合和交替使用。形象思维与抽象思维的辩证关系主要表现在以下三个方面。首先,数学中的形象与抽象两者本身是不可绝对分割的,是相互渗透的对立统一的关系。例如,几何学中的原始概念:点、线、面,其意义是没有长、宽、高的点,没有厚度和宽度的线,没有厚度的面,以及由这种意义下的点、线、面的组成所构 Specific mathematical thinking process is usually the image of thinking and abstract thinking of these two ways of thinking of mutual penetration, mutual integration and use. The dialectical relationship between image thinking and abstract thinking is mainly manifested in the following three aspects. First of all, both the image and the abstract in mathematics are not absolutely divisible, they are mutually antagonistic and opposites. For example, the original concept of geometry: point, line, surface, the meaning is no long, wide, high point, no thickness and width of the line, no thickness of the surface, and in this sense the point, line, The composition of the surface