新工科背景下概率论与数理统计的教学改革——以随机事件为例

Teaching Reform of Probability Theory and Mathematical Statistics under the Background of New Engineering—Taking Random Events as an Example

摘要: 在新工科建设深入推进的背景下，本文探讨将探究式学习(HIBL)与成果导向教育(OBE)理念融合应用于概率论与数理统计课程的必要性与实施策略。以随机事件教学为核心案例，详细分析HIBL与OBE融合在教学目标设定、内容设计及实践环节中的具体应用，指出该融合模式可有效破解传统教学中“重理论轻应用、重计算轻思维”的困境，显著提升学生的随机思维能力、工程问题转化能力及团队协作素养。研究旨在为新工科背景下概率论与数理统计课程的教学改革提供可操作的实践路径，助力培养适应新经济、新技术需求的复合型工科人才。

Abstract: Against the backdrop of the in-depth advancement of New Engineering initiatives, this paper explores the necessity and implementation strategies for integrating the concepts of Hands-on Inquiry-Based Learning (HIBL) and Outcome-Based Education (OBE) into the course of “Probability Theory and Mathematical Statistics”. Taking the teaching of random events as a core case, it conducts a detailed analysis of the specific application of the HIBL-OBE integration in the formulation of teaching objectives, content design, and practical sessions. The paper points out that this integrated model can effectively address the dilemma in traditional teaching—“overemphasizing theory over application and computation over thinking”—and significantly enhance students’ stochastic thinking ability, ability to transform engineering problems (into mathematical models), and teamwork competence. The study aims to provide practical and actionable approaches for the teaching reform of Probability Theory and Mathematical Statistics in the context of New Engineering, thereby contributing to the cultivation of interdisciplinary engineering talents who can adapt to the demands of the new economy and new technologies.