大学数学课程案例式教学的研究与实践

Research and Practice of Case Teaching in College Mathematics Course

案例式教学是大学数学课程取得实效的重要手段之一,案例的设计思路与原则、案例库的开发建设和案例的合理选择是影响案例教学成功与否的关键。该文阐述了在课堂教学中融入案例教学的具体实施过程,给出了具体的考核方案,通过对学生发放调查问卷发现:绝大多数学生对案例式教学持肯定态度。实践效果也表明采用案例式教学的实践组的成绩明显高于对照组的成绩,反映出案例式教学使得学生对数学方法和数学思想的理解更加深刻,解决工程实际问题和数学建模的能力得到显著提升。

Case-based teaching is one of the important means to achieve practical results in college mathematics courses.The design idea and principle of case,the development and construction of case base and the reasonable selection of case are the key that affect the success of case teaching.This question expounds the concrete implementation process of integrating case teaching into classroom teaching,and gives specific assessment plans.Through the questionnaire survey of students,it is found that the vast majority of students hold a positive attitude towards case teaching.The practical results also show that the performance of the practice group using case teaching is significantly higher than that of the control group,reflecting that the case teaching makes students have a deeper understanding of mathematical methods and mathematical ideas,and their ability to solve practical engineering problems and mathematical modeling has been significantly improved.