统计方法在研究微积分与后续课程相关性中的应用与实证分析

着眼于本科生后期专业课程的学习效果,探讨微积分课程学习效果的有效性.以北京理工大学某经管类专业全部学生大一大二两学年的学习成绩为依据,分析微积分课程学习与后续理科课程学习的相关性,提出评估微积分课程学习效果的量化指标θ值的概念,并基于回归分析和相关性分析给出其算法.在实例分析中,通过研究,发现学生微积分课程学习效果的好坏会影响他们对后续相关课程的学习,同时也发现学生将微积分知识运用到间接相关科目的能力比运用到直接相关的科目的能力薄弱.

Statistical Analysis in the Empirical Study of the Impact That Calculus Has on Other Follow-Up Courses

In this paper,we study the effectiveness of Calculus instruction from the perspective of students' performance in their latter study in other related courses.We collect the scores of a class of students from the college of management and economy,Beijing Institute of Technology,and based on these data,we research into the correlation between the students' performance in Calculus and that in other courses.Furthermore,we propose an indicatorθwhich represents the effectiveness of instruction in Calculus,and present algorithms to calculate it.It is demonstrated in our empirical study that a good master of calculus contributes to the study of the follow-up courses,and while the instruction in Calculus is effective,students show weaker capacity in applying calculus to indirect-related courses.