基于应用背景下概率论与数理统计教学改革的探究与实践

Exploration and Practice of Teaching Reform in Probability Theory and Mathematical Statistics Based on Application Contexts

概率论与数理统计课程公式多、理论性强、教学案例丰富、实用性广泛,其是数学理论方法与实际相结合的一门工科基础学科。通过教学实践与问卷调查,发现学生对该课程的学习兴趣不高和掌握知识能力弱,主要源于教师教学方式过于理论化、脱离实际、案例过于陈旧等。课程教学改革是高等教育的需求同时也是社会发展的需要。知识与生活相结合、与时俱进地进行案例式教学、更新教学工具及信息化教学,运用“问题–概念–知识–应用”方式教学,都能很好地解决该课程的“痛点”问题,既能活跃课堂教学氛围,又能够提高整体的教学质量,培养学生分析问题、解决问题及应用知识的能力。The course on probability theory and mathematical statistics is characterized by numerous formulas, strong theoretical foundations, a wealth of teaching cases, and extensive practical applications. It serves as a fundamental engineering discipline that combines mathematical theory with real-world applications. Through teaching practice and survey questionnaires, it has been found that students exhibit low interest in the course and weak knowledge retention, primarily due to overly theoretical teaching methods that are disconnected from practical application and outdated case studies. Reforming the course is not only a demand of higher education but also a necessity for societal development. Integrating knowledge with real-life applications, updating case studies to keep pace with the times, modernizing teaching tools, and utilizing technology in education can effectively address the “pain points” of this course. Implementing a “problem—concept—knowledge—application” teaching approach can enliven classroom dynamics while also enhancing overall teaching quality. This approach cultivates students’ abilities to analyze and solve problems and to apply their knowledge effectively.