数学建模思想在交通运筹学课程教学中的应用研究

Applying the Mathematical Modeling Thought to the Course Teaching of Transportation Operations Research

摘要: 为了在交通运筹学课程教学过程中增加学生对知识的掌握和学习兴趣，并培养学生的数学建模思想和能力，设计了将数学建模思想引入相关课程教学的具体方法步骤。通过比较分析数学建模和交通运筹学的内容，明确了两者之间存在内在关联关系。以数学建模的基本框架为基础，提出了在交通运筹学教学中应用建模思想的8个步骤。在上述步骤方法中明确了课堂内外活动的内容差异与联系，并对活动采取的形式，如集体讨论和分组协作，予以说明。通过一个具体案例进一步解释了方法的实际操作，证实方法的有效性。研究表明：在交通运筹学的教学过程中引入数学建模思想，不仅可以实现学生对教学内容的深入理解和增加后续学习兴趣，而且可以有效培养学生的数学建模思想，增强学生的实际数学建模能力。

Abstract: In order to increase students’ knowledge mastery and interest in learning and cultivate students’ thinking and ability of mathematical modeling in the course teaching of transportation operations research, specific steps of method are designed to introduce the thinking of mathematical modeling into the teaching of relevant course. By comparing and analyzing the contents of mathematical modeling and traffic operations research, it is clarified that there is internal correlation between them. Based on the basic framework of mathematical modeling, this paper proposed eight steps of applying modeling idea in the course teaching of transportation operations research. In the above steps, the content differences and connections of activities inside and outside the classroom are clarified, and the forms of activities, such as group discussion and group collaboration, are explained. The practical operation of the method is further explained through a specific case, and the validity of the method is verified. The research shows that the introduction of mathematical modeling in the teaching process of transportation operations research can not only realize students’ deep understanding of the teaching content and increase their interest in following study, but also effectively cultivate students’ thought of mathematical modeling and increase their ability of practical mathematical modeling.