In this paper, the author introduces his effect work, focusing on cultivating students' innovative ability during engineering mathematics teaching. Heuristic teaching is proposed to be widely used in the basic theoretic courses To enhance the students' innovative consciousness and ability, by building mathematical labs and mathematical modeling rooms, offering the courses of "mathematical experiment and mathematical software" and "mathematical modeling", and carrying out the activities for training and competition on mathematical experiment and mathematical modeling, the basic system of mathematics curriculum are constructed to develop the students' innovative ability.