Identification of the Equivalent Model of the Knowledge-Forgetting Process in Every “Forgetting Band”

Abstract

It is shown that over a fairly significant period of time, a group of scientists of Vinnytsia National Technical University under the program of the research laboratory “Problems of the Higher School” (SRL PHS), which was created by a joint order of the rector of the VNTU, Academician of the National Academy of Pedagogical Sciences of Ukraine Borys Mokin and the director of the Institute of Pedagogical Education and adult education of the National Academy of Pedagogical Sciences of Ukraine, Academician of the National Academy of Pedagogical Sciences of Ukraine Ivan Zyazyun, research was carried out of the processes of knowledge assimilation by the students of higher education institutions, which they received from teachers during lectures and practical classes in certain educational disciplines. A selection of scientific publications dedicated to the modeling of processes of forgetting information obtained by the students at lectures and practical classes, which was published during 2010-2021, is presented. It is shown that thanks to these studies, the “H. Ebbinghaus forgetting curve”, known to psychologists was initially expanded to “forgetting bands”, and the mathematical model of the process of forgetting information, proposed in L. M. Prysniakova’s monograph “Systemic analysis of personality behavior”, published in Dnipropetrovsk in 2007, supplemented by a synergistic component transformed to each of the six “forgetting bands”. A method of identifying equivalent mathematical models of the upper limits of the “forgetting bands” for people with excellent, good, average, bad and very bad memory synthesized in the previous works of the authors has been developed. Python programs to implement the developed method of identifying the upper limits of the “forgetting bands” for people with excellent, good, average, poor and very poor memory were created. An algorithm for assigning specific people to one of the “forgetting bands” defined by the authors for people with excellent, good, mediocre, bad and very bad memory is proposed.