“概率论与数理统计”课程思政教学设计——概率的定义教学案例

Deological and Political Teaching Design of“Probability Theory and Mathematical Statistics”——A Teaching Case Study of Definition of Probability

概率论与数理统计是高校数学公共基础课中的重要课程,在新形势和新时代的课程体系下,对其进行课程思政建设意义重大。教师将辩证唯物思想和方法渗透于教学设计和教学实践中,对探讨学科本质和数学哲学,培养大学生数学思维和科研精神,显得尤为重要。结合概率论与数理统计学科特点,教师通过引入背景丰富的实际案例对课程内容和思政融入进行广泛拓展,达到提高大学生的知识能力和素质教育的目的。针对概率的定义是本课程中的第一个,也是最基本的概念。本文以概率的定义为例,探讨如何设计课程思政创新教学案例,由直观的统计定义抽象出概率的公理化定义出发,研究频率与概率所反映的偶然性和必然性之间的辩证关系,帮助学生理解课程本质和科学研究的一般过程,以便在该课程讲授初期为学生构建起整个课程的思政框架,加深概率论与数理统计课程的深度和内涵。

“Probability Theory and Mathematical Statistics”is an important course of mathematics in universities and colleges.Under the new situation and the new era of the curriculum system,it is of great significance to carry on the curriculum ideological and political construction.It is particularly important for teachers to integrate dialectical materialism into teaching design and practice,explore the nature of the subject and the philosophy of mathematics,and train the mathematical thinking and research spirit of college students.Combining with the characteristics of probability theory and mathematical statistics,teachers introduce practical cases with rich background to extensively expand the course content and ideological and political integration,so as to achieve the purpose of improving college students knowledge ability and quality education.For probability is defined as the first of this course,which is the most basic concept,based on the definition of probability as an example,discusses how to design the education innovation teaching case,by the intuitive definition abstracts the axiomatic definition of probability statistics,the frequency and probability reflects the dialectical relationship between contingency and inevitability,It helps students to understand the nature of the course and the general process of scientific research.At the beginning of the course,it constructs the ideological and political framework of the whole course for students and deepens the depth and connotation of the course of probability theory and mathematical statistics.