Research on Teaching Methods of Probability Theory and Mathematical Statistics Based on Modeling Ideas

This paper delves into teaching methods for probability theory and mathematical statistics grounded in modeling concepts, to augment students’ comprehension and application of these theories through practical modeling cases. By dissecting the significance of modeling in these fields, the paper puts forth teaching approaches centered on modeling ideas, demonstrating their efficacy through practical illustrations. Additionally, the paper emphasizes the integration of hands-on modeling tasks. It encourages students to collect and analyze data independently, fostering their problem-solving skills and enhancing their engagement and participation in learning.