System Transformation of the Mathematical Model for the Process of Forgetting the Knowledge Obtained by a Student at Lecture and the Method of its Identification

Abstract

Systematic transformation of the mathematical model for the process of forgetting the knowledge obtained at the lectures was carried out by an “excellent students” (with a high level of memory) with reference to the “bands of forgetting” characteristic for this category of students; obtained by “intermediate students” (with good memory) with an attachment to the “bands of forgetting” characteristic of this category of students; obtained by mediocre students (with the same median level of memory) with an attachment to the category of “bands of forgetting” characteristic of this category; obtained by students with a grade point average lower than average but able to receive a satisfactory grade in the process of no more than two examinations with an attachment to the student's “bands of forgetting” category; and those obtained by poorly performing students who must either be deducted or retained for a student with a “bands of forgetting” characteristic of this category.

System-transformed mathematical model is implemented in relative time and contains three basic parameters, one of which characterizes the rate of forgetting by the student of the information obtained at the lecture, the second characterizes the synergistic component that slows down the process of forgetting, and the third characterizes that component of the received information that remains in student’s memory forever.

On the basis of the least squares criterion, a method of identification of a systematically transformed mathematical model for the process of forgetting the knowledge obtained at the lectures by students of the categories listed above was implemented using computational structures tied to the corresponding “bands of forgetting”, through which an iterative method of obtaining optimal estimates is realized above.