课程思政元素融入高等数学的教学研究--以数列极限为例

Ideological and Political Elements of the Curriculum are Integrated into the Teaching Research of Advanced Mathematics——Take the Limit of the Sequence as an Example

高等数学是大学教育的公共基础课,在高等数学中进行课程思政,对于培养学生积极探索的科学精神和优秀的品质具有重要意义。文章以数列的极限为例,通过古诗、"割圆术"和"截丈"问题,引出数列极限概念,激发学生的民族自豪感和爱国热情;通过数列极限的推导,培养学生勤奋刻苦,不怕困难的精神;通过数列极限在连续复利问题的应用,培养学生的自我约束意识和合理理财能力。本案例以寓教于乐的方式,将课程思政元素与高等数学相结合,充分发挥教师教书育人的作用,促进学生全面发展。

Higher mathematics is a public basic course of university education.It is of great significance to cultivate students’scientific spirit and excellent quality to perform ideological and political courses in higher mathematics.Taking the limit of number series as an example,this paper introduces the concept of the limit of number series and stimulates students’national pride and patriotic enthusiasm through the problems of ancient poetry,“cutting circle”and“cutting a stick”.Through the derivation of the limit of sequence,the students are trained to be diligent and not afraid of difficulties.Through the application of sequence limit in continuous compound interest problem,students’self-restraint consciousness and reasonable financial management ability are cultivated.This case combines the ideological and political elements of the curriculum with advanced mathematics in the way of teaching and entertainment,so as to give full play to the role of teachers in teaching and promoting the all-round development of students.