基于灰色关联分析的高等数学教学效果影响因素统计研究

Statistical Study on the Influencing Factors of Higher Mathematics Teaching Effectiveness Based on Grey Relational Analysis

摘要: 随着高校对高等数学教学质量的要求不断提高，如何有效提升学生的学习效果成为教学改革的重点方向。高等数学作为众多理工科专业的基础课程，其教学效果受多种因素影响，如教学方式、学生的学习习惯、课堂参与度等。为了探讨这些因素与教学效果之间的关系，本研究基于灰色关联分析模型，收集了200名学生的教学数据，进行量化分析。研究结果表明，教学方式、自主学习能力和课堂参与度是影响高等数学教学效果的主要因素。通过灰色关联分析，找出了不同因素对教学效果的影响程度，并为教学方式的优化提供了数据支撑。最终，针对研究结果提出了有助于提高高等数学教学质量的改进建议。

Abstract: With the increasing demand for higher mathematics teaching quality in universities, how to effectively improve students’ learning outcomes has become a key direction of teaching reform. As a fundamental course in many science and engineering majors, the teaching effectiveness of advanced mathematics is influenced by various factors, such as teaching methods, students’ learning habits, classroom participation, etc. In order to explore the relationship between these factors and teaching effectiveness, this study collected teaching data from 200 students based on the grey relational analysis model and conducted quantitative analysis. The research results indicate that teaching methods, self-learning ability, and classroom participation are the main factors affecting the effectiveness of higher mathematics teaching. Through grey relational analysis, the impact of different factors on teaching effectiveness was identified, providing data support for optimizing teaching methods. Finally, improvement suggestions were proposed based on the research results to enhance the quality of higher mathematics teaching.