The education and contest of mathematical modeling are considered to be one of the effective means for improving college students’ qualities, and one of the cut-in points for the teaching reform in college mathematics. We concentrate on the problem in traditional mathematical modeling course and share our experiences in teaching and training of the course at Hunan University of Arts and Science. Moreover, we state several suggestions on the teaching and contest of mathematical modeling course.%数学建模课程的教学与竞赛，能够培养学生的综合素质，特别是创新能力。基于此，系统地阐述了数学建模课程的现状，以及当前地方性院校数学建模教学与竞赛中存在的一些问题，总结了湖南文理学院数学建模课程培训的经验，针对性地提出了一些具体的改进措施。
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