本文从“数学教学是数学活动的教学”的基本观点出发,运用格式塔学派和现代认知心理学“完形”、“组块”等原理,在感知与认知两水平上探讨了几何概念的学习、几何问题的解决及几何命题的发现和发现法教学,以期能为改善目前几何教学中单纯强调逻辑思维而忽视非逻辑训练的状况提供一些理论依据。 This paper starts from the basic point of view of “Mathematics teaching is the teaching of mathematics activities” and uses Gestalt school and modern cognitive psychology “conformity” and “group building” principles to explore geometric concepts at both cognitive and cognitive levels. The study of learning, the solution of geometric problems, and the discovery and discovery teaching of geometric propositions, in order to provide some theoretical basis for improving the current emphasis on logical thinking and ignore the non-logical training.