A Brief Discussion on the Connection Issues between College and High School Mathematics Curricula—Taking Probability Theory and Mathematical Statistics as an Example

本论文聚焦大学与中学数学课程在概率论与数理统计领域的衔接问题。通过分析中学和大学阶段概率论与数理统计课程的教学内容、教学方法以及学生学习特点，探讨当前存在的衔接断层，提出优化课程内容设置、改进教学方法、加强学习指导等衔接策略，旨在帮助学生更顺利地完成从中学到大学在该学科学习的过渡，提升学习效果。This paper focuses on the connection issues between college and high school mathematics curricula in the field of probability theory and mathematical statistics. By analyzing the teaching contents, teaching methods, and learning characteristics of probability theory and mathematical statistics at the high school and college stages, this paper discusses the existing connection gaps and proposes strategies such as optimizing curriculum content settings, improving teaching methods, and strengthening learning guidance. The aim is to help students smoothly transition from high school to college in the study of this subject and enhance their learning effectiveness.