关键词: 数字化教育, 概率论与数理统计, 教学模式, 教学设计, 学堂云平台, 自主学习

Abstract: With the rapid development of information technology, the education sector is undergoing new changes, and digital education transformation has become an important trend in higher education reform. This article explores the innovation of teaching modes for probability theory and mathematical statistics courses under the background of digital education. Through the Xuetangyun platform, an efficient teaching mode is constructed, including pre class preview, classroom interaction, and post class review. The teaching methods are optimized using tools such as Rain Classroom, teaching resources are enriched, and personalized teaching is achieved. Practice has shown that this teaching model enhances students'learning interest, autonomy, and teamwork abilities, while also improving teachers'teaching efficiency and quality.

Key words: Digital education, Probability theory and mathematical statistics, Teaching mode, Instructional design, Xuetang cloud platform, Self directed learning