新文科背景下概率论与数理统计课堂教学实践探索

Exploration on Classroom Teaching Practice of Probability Theory and Mathematical Statistics Under the Background of New Liberal Arts

摘要: 新文科背景下，为培养应用型人才的需要，概率论与数理统计已成为财经类院校的一门非常重要的数学基础课。概率论与数理统计的传统教学模式往往偏重于对理论的解释，学生在学习过程中经常因知识的繁琐、概率模型的抽象复杂，导致所学的内容不成体系，模型不能具象，动手实践能力缺乏，概率统计思维难以达成。鉴于此，在教学中，我们从教师主导性和调动学生主体性方面进行实践探索，以建构主义理论为框架，将“5W + H”思辨导学、AI动态可视化与Excel深度模拟实验三者有机整合。让学生灵活、灵动地掌握课程内容，同时培养提高独立思考、自主学习、创新实践能力。

Abstract: In the context of the new liberal arts education, Probability and Statistics has been an important foundational course in finance and economics colleges to meet the needs of cultivating applied talents. The traditional teaching model of Probability and Statistics often places excessive emphasis on explaining theories. During the learning process, students frequently struggle with the cumbersome nature of the knowledge and the abstract complexity of probability models. As a result, they fail to form a systematic understanding of the content learned, cannot visualize the models concretely, lack hands-on practical skills, and are unable to develop probabilistic and statistical thinking. In view of this, taking constructivist theory as the framework, this study organically integrates the “5W + H” critical thinking guided learning, AI dynamic visualization, and Excel in-depth simulation experiments. It enables students to grasp course content flexibly and proficiently, while fostering and enhancing their abilities in independent thinking, autonomous learning, and innovative practice.