本文基于本科院校工程数学课程的教学现状,将讨论式教学法的理论应用到工程数学课程的教学之中,根据教学实践提出了课堂随时性讨论、课后延伸性讨论和章节总结式讨论三种应用模式,激发学生对工程数学课程的学习兴趣,促进大学生主动思考、合作探究能力的提升,提高本科院校工程数学课程的教学质量。Based on the current teaching situation of engineering mathematics courses in undergraduate colleges and universities, this paper applies the theory of discussion-based teaching methods to the teaching of engineering mathematics courses. According to teaching practice, three application models are proposed: random discussion in class, extended discussion after class, and summary discussion of chapters. These models aim to stimulate students’ interest in learning engineering mathematics, promote their ability to think independently and cooperate in exploration, and improve the teaching quality of engineering mathematics courses in undergraduate colleges and universities.