Abstract: In the process of teaching reform in colleges and universities, the application of online and offline hybrid teaching mode is a new direction. This kind of teaching mode combines the traditional education and teaching methods with network teaching. The application of this teaching mode in higher mathematics teaching in colleges and universities can not only improve the teaching quality, but also stimulate students' learning enthusiasm, which is very helpful to cultivate students' ability to analyze and solve problems. This paper first expounds the concept of online and offline hybrid teaching mode, on this basis, discusses the construction of online and offline hybrid teaching mode, and finally studies the practice of online and offline hybrid teaching mode. It is hoped that this paper can provide some reference for the application of online and offline hybrid teaching mode in higher mathematics teaching.

Key words: Advanced mathematics, Online and offline mixed teaching, Mode construction