基于“CBL PBL”模式的《概率论与数理统计》课程教学案例设计

Curriculum Teaching Case Design Based on the “Probability and Mathematical Statistics” Based on the “CBL PBL” Model

摘要: 《概率论与数理统计》是大学数学的一门教育必修课，是专业课学习的基石和工具。而提高知识的实用性是培养应用型高校人才的关键。为增强教学的应用性，本文充分将数学理论和农业实际案例结合起来，以“协方差”为例，采取“CBL PBL”的教学模式，以农业案例为导向承接问题驱动，利用主成分分析这一数据降维算法结合数学软件的辅助分析案例，得出结论，从而提高学生的数学建模能力和知识运用能力，实现了学习的内化。

Abstract: “Probability Theory and Mathematical Statistics” is a compulsory course for college mathematics, and is the cornerstone and tools for professional courses. And improving the practicality of knowledge is the key to cultivating application-oriented college talents. In order to enhance the application of teaching, this article fully combines mathematical theory with actual agricultural cases, taking “covariance” as an example and adopting the “CBL PBL” teaching model. This article guided by agricultural cases and driven by problems, the teaching method uses principal component analysis, a data dimension reduction algorithm, combined with mathematical software to assist in analyzing cases and draw conclusions, thereby improving students’ mathematical modeling ability and knowledge application ability, achieving internalization of learning.