统计学专业“随机过程”的教学改革与实践
Teaching Reform and Practice of “Stochastic Processes” for Undergraduate Students Majoring in Statistics
DOI: 10.12677/ae.2025.1581410, PDF,    科研立项经费支持
作者: 刘瑞平*:北京信息科技大学理学院,北京;关 蓉:中央财经大学统计与数学学院,北京
关键词: 统计学专业随机过程以学生为中心课程思政在线互动Statistics Major Stochastic Process Student-Centered Curriculum Ideological Education Online Interaction in Class
摘要: 随机过程作为统计学专业本科生的一门专业必修课正在不断发展和完善。以学生为中心,基于课程内容与传统教材逻辑丰富教学案例,激发学生主动学习;引导学生亲自刻画日常生活中的随机过程,合理运用在线教学平台,增强课堂互动;在基本教学内容的基础上,适度拓展,提升学生的思辨意识;授课过程中将课程思政元素自然融入。优化课程考核方式,满足多样化学习需求,提升学生的质疑精神及专业素养。最终建设一门具有亲和力、创新性的本科生随机过程课程。
Abstract: As a compulsory professional course for undergraduate students majoring in statistics, “Stochastic Processes” is constantly developing and improving. Focusing on students, attracting students to take the initiative to learn, enriching teaching cases based on course content and traditional textbook logic; guide students to personally depict the stochastic processes in daily life and enhance classroom interaction with the help of online teaching platform; expand and improve students’ critical awareness appropriately on the basis of the basic teaching content; integrate the ideological and political elements naturally into the teaching process; optimize course assessment methods and meet diversified learning needs to enhance students’ questioning spirit and professionalism. Finally, a “Stochastic Processes” course that is approachable and innovative can be established.
文章引用:刘瑞平, 关蓉. 统计学专业“随机过程”的教学改革与实践[J]. 教育进展, 2025, 15(8): 105-111. https://doi.org/10.12677/ae.2025.1581410

参考文献

[1] Bartlett, M. (1978) An Introduction to Stochastic Processes: With Special Reference to Methods and Applications. CUP Archive.
[2] Bosq, D. and Nguyen, H.T. (2013) A Course in Stochastic Processes: Stochastic Models and Statistical Inference. Springer Science & Business Media.
[3] Skiadas, C.H. (2010) Advances in Data Analysis. Springer.
[4] 张波, 商豪, 邓军. 应用随机过程[M]. 第5版. 北京: 中国人民大学出版社, 2020.
[5] 修建娟, 柴勇, 关键, 等. “随机过程及应用”创新性教学的几点思考[J]. 高等教育研究学报, 2017, 40(3): 112-115.
[6] 周宏安. 面向理工科研究生的随机过程课程教学改革研究[J]. 黑龙江科学, 2022(19): 152-154.
[7] 陈建华, 李海燕, 张榆锋, 等. “随机过程”精品课程建设与教学改革探索[J]. 中国科技信息, 2010(18): 283-284.
[8] 夏元清, 戴荔, 闫莉萍, 等. 教育部来华留学研究生英语授课品牌课程建设方法探究——以“随机过程理论及应用”为例[J]. 学位与研究生教育, 2019(12): 42-45.
[9] 王沁, 郑海涛, 唐家银. 以学生为中心的“随机过程”教学改革探索[J]. 教育教学论坛, 2023(46): 69-72.
[10] 刘秀芹, 马亮, 李娜. 案例教学在《应用随机过程》中的探索和实践[J]. 大学数学, 2015, 31(2): 105-109.
[11] 董迎辉, 梁雪. 浅谈《随机过程》教学中的课程思政[J]. 教育进展, 2022, 12(2): 448-452.