一、概述数学是一门具有高度抽象性和精密逻辑性的科学。但是,由于心理特征和认知水平等因素的影响,在中学生的思维过程中常常出现不严密的现象,其主要表现在以下几个方面:概念模糊:概念在数学理论体系中,是十分重要的组成部分。它是构成推理、判断的要素。因此,概念必须被弄清,搞清概念的外延和内涵,为推理和判断奠定 I. Overview Mathematics is a highly abstract and sophisticated logic of science. However, due to the influence of psychological characteristics and cognitive level, the phenomenon of middle school students often appear in the thinking process is not rigorous, which is mainly manifested in the following aspects: Conceptual fuzzy: the concept of mathematical theory in the system, it is very important component. It is an element that constitutes reasoning and judgment. Therefore, the concept must be clarified, to find out the concept of extension and content, to reasoning and judgment laid