数学三个世界理论涉及概念—具体化、过程—符号化、公理——形式化,以此理论为依据可以分析数学概念的认知层次.《等差数列前n项和》是高中数学中的重点教学内容,以此为课例,采用联结主义教学模式进行教学实践分析并与传统的讲授法、发现法教学进行比较,获得具有一定价值的教学启示. Mathematical world theory involves the concept of three-specific, process-symbolic, axiom-formal, based on this theory can analyze the mathematical concept of cognitive level. “The arithmetic progression of the first n and” is in high school mathematics Focus on the content of teaching, as a case study, using the teaching mode of connectionist analysis of teaching practice and traditional teaching law, found that teaching compared to obtain a certain value of teaching enlightenment.