数列是高中函数主线的重要内容，蕴含着丰富的数学思想方法，应用广泛。在大学中，数列的极限，级数等内容是高等数学学习的基础。随着教学改革的不断进行，研究如何更好地进行中学数列内容与大学数列内容的衔接，对中学数列教学具有重要意义。

本文先研究了高中数列的相关内容，然后与高等数学相关数列内容进行了衔接研究。其中高中数列内容包括核心知识点的梳理，以及关于数列概念、性质、思想方法等的相关研究。在此基础上，结合高等数学中的数列的概念、斐波那契数列的性质、函数思想的相关内容进行了对比研究。

研究发现初高等数学衔接的问题为：（1）数列概念从具体到抽象存在衔接的断层。（2）数列性质证明及应用难度存在衔接的断层。（3）函数方法从明到暗存在衔接的断层。

在此基础上提出教学建议：（1）教师应具备数列相应的高等数学知识，（2）教师应仔细研究数列相关教材（3）教师应该改进教学方法（4）教师应该重视函数思想的教学。

The sequence is an important content of the main line of high school functions, containing rich mathematical thinking methods and widely used. In university, the limits and progression of sequences are the foundation of higher mathematics learning. With the continuous progress of teaching reform, it is of great significance to study how to better connect the content of middle school sequence with that of university sequence for middle school sequence teaching.

This article first studied the relevant content of high school sequence, and then conducted a connection study with the content of higher mathematics sequence. The content of high school sequence includes the sorting out of core knowledge points, as well as related research on the concept, properties, and thinking methods of sequence. On this basis, a comparative study was conducted combining the concepts of sequence in higher mathematics, the properties of Fibonacci sequence, and the related content of function ideas.

Research has found that the problem of the connection between elementary and advanced mathematics is: (1) there is a gap in the connection between the concept of sequence from concrete to abstract. (2) There is a gap in the connection between the proof of sequence properties and the difficulty of application. (3) There is a gap in the connection between light and dark in the function method.

On this basis, teaching suggestions are proposed: (1) teachers should have corresponding knowledge of higher mathematics in sequence, (2) teachers should carefully study the relevant textbooks of sequence, (3) teachers should improve teaching methods, and (4) teachers should pay attention to the teaching of function ideas.