Abstract: The mixed teaching mode of higher mathematics can effectively expand students'knowledge vision and cultivate students'comprehensive ability, but there are some problems at present, such as deviation from the goal of learning activities, backward update of textbooks and insufficient system innovation, which lead to insufficient training of students'application ability. In order to solve the above problems, it is necessary to clarify the learning objectives and stimulate the students'innovative thinking. Therefore, this paper proposes three teaching reform measures: adopting DELC deep learning route, deeply processing knowledge, carrying out situational teaching, and expanding knowledge after class. These reforms help students to study independently and cooperatively, explore new learning methods and problem-solving approaches, and at the same time, teachers can adjust teaching strategies and methods in time to promote teaching mode optimization.

Key words: New engineering, Advanced mathematics, Mixed, Teaching mode, Reform, Situational teaching