Firstly, starting from the background of the new engineering discipline, the importance of practical teaching in higher mathematics teaching is elaborated, and it is proposed that practical teaching can promote theoretical teaching and provide support for professional training; Secondly, a diversified practical teaching system has been constructed from practical aspects such as mathematical experiments, mathematical models, and deep integration of majors; Further propose integrating digital resources into practical teaching to achieve sharing and interaction; Finally, construct a layered assessment framework for practical teaching.