论文标题
学生在非企业和非本质学习中的表现的数学建模
Mathematical modelling of the performance of a student in non-collaborative and non-presential learning
论文作者
论文摘要
在本文中，我们提出了一个模型，以研究非授课在线课程中一位学生的知识的占用。我们根据教师班级的质量和学生的亲和力来理解会议的质量，这是在以前的会议上对下一次课程的理解有一定的影响，从而制定了随机模型。这个假设意味着该过程甚至不是马尔可夫过程。这种情况出现在举行许多不同会议的研讨会和课程中。我们为学生理解的会话数量分布得出了一些递归表达。此外，我们研究了这种分布的收敛性，并通过一些数值示例研究了这种收敛的速度。
In this paper we propose a model to study the appropriation of knowledge of one student in a non-collaborative online class. We formulate a stochastic model based on the quality of the teacher's class and the affinity of the student to understand the sessions, under the assumption that previous sessions have some influence in the understanding of the next sessions. This assumption implies that the process is not even a Markov process. This kind of situation appears in seminars and classes with many different sessions. We derive some recursive expressions for the distribution of the number of sessions that the student comprehends. Furthermore, we study the convergence of this distribution and study the speed of this convergence through some numerical examples.
