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在几何教学中,有目的发展学生思维,使之牢固地掌握几何知识,是几何教学的最基础任务之一。从形式逻辑的观点看,思维表现为三种基本形式:概念、判断、推理。因此,在几何思维训练教学的实施中,要按照思维的规律进行。 1.几何概念的教学 几何概念所具有的两个主要特征是,第一,几何概念所反映的是客观世界的实际模型;第二,在人的意识中形成的几何概念,同表达它的语言、图形和符号是分不开的,因此在概念教学中可以培养学生的抽象思维和形象思维。例如点的慨念的教学讲解,点是一个不定义的概念,但点可以形象的描述为“点可以代表客观事
In geometry teaching, it is one of the most basic tasks of geometry teaching to purposefully develop students’ thinking and make them master the knowledge of geometry firmly. From a formal logic point of view, thinking comes in three basic forms: concept, judgment, and reasoning. Therefore, in the implementation of the teaching of geometric thinking training, we must follow the rules of thinking. 1. The two main features of the geometric concept of teaching geometry concept are: first, the geometric concept reflects the actual model of the objective world; second, the geometric concept formed in the human consciousness, with the language of expression , graphics and symbols are inseparable, so in the concept of teaching can cultivate students’ abstract thinking and image thinking. For example, the teaching of the point of view is a concept that is not defined, but the point can be described as "points can represent objective things.