基于案例分析的课程应用差异性研究

A Study on Differential Effects of Case-Based Analysis in Curriculum Application

摘要: 《数理统计》课程作为连接数学理论与实际应用的重要工具，在研究生科研中发挥重要作用。本研究旨在探索《数理统计》课程在研究生阶段的应用现状。首先通过问卷调查获得数据，采用CRITIC权重法计算教学质量综合得分，并探究其对研究生后续应用数理统计方法的影响；其次采用多重响应交叉表探究不同学科门类与研究生数理统计方法应用情况的差异性；最后分析目前数理统计课程教学中需要改进的方面。结果显示，教学质量在研究生后续数理统计方法应用情况中具有显著性差异；不同学科门类在数理统计应用场景、应用方法以及不常使用的原因中都存在显著性差异；在探究数理统计课程教学改进中，理论知识深入讲解与答疑需求最高。据此对现有教学模式提出改进建议。

Abstract: The “Mathematical Statistics” course serves as a vital tool for bridging mathematical theory and practical applications, playing a significant role in graduate research. The purpose of this study is to explore the current application status of the “Mathematical Statistics” course at the postgraduate level. Firstly, data were obtained through a questionnaire survey; the CRITIC weighting method was then employed to calculate a comprehensive teaching quality score and investigate its impact on graduates’ subsequent application of mathematical statistics methods. Secondly, multiple response cross-tabulation analysis was used to examine differences in the application of mathematical statistics methods across different disciplinary categories. Finally, the study analyzes aspects needing improvement in the current teaching of Mathematical Statistics. The results indicate that teaching quality exhibits significant differences concerning postgraduate students’ subsequent application of statistical methods. Significant variations exist among different disciplinary categories regarding application scenarios, methods used, and reasons for infrequent use. In exploring areas for course improvement, the demand for in-depth explanation of theoretical knowledge and enhanced question-and-answer support was highest. Based on these findings, suggestions for improving the existing teaching model are proposed.