In recent years, the Party Central Committee has paid more attention to the ideological education of students. College teachers are constantly exploring how to implement ideological and political education in the classroom teaching process. The author designs and practices the teaching of “Course Ideological and political education” in higher mathematics. Taking the concept of derivative as an example, this paper introduces how to combine the derivative with the ideological and political education of college students through the paradigm of “Three-implicit and Three-fusional”, so as to play the role of teachers of basic courses in Ideological and political education.