Didactical reflections on the teaching and training of mathematical modeling course at local colleges

During the last ten years mathematic education in China focuses on promoting students to develop their mathematic modeling competences. In this paper, we want to concentrate on the problem in traditional mathematical modeling course. We give a brief introduction to the current status of the course in China, and shares our experiences in teaching and training of the course at Hunan University of Arts and Science, in which the course tries to integrate the problem-solving methods such as mathematical modeling and mathematical software. Moreover, we state several suggestions on the teaching and training of mathematical modeling course.