CONSTRUCTION OF MODELS OF STUDENTS’ BEHAVIOR BASED ON MATRIXES OF FUZZY RELATIONS CONSIDERING THEIR MOTIVATIONS TO IMPROVE SUCCESS IN LEARNING
Journal Title: Вестник Харьковского национального автомобильно-дорожного университета - Year 2019, Vol 85, Issue
Abstract
Abstract. Problem. In this article, the student behavior models are formalized, considering their motivation to improve the performance. The rele-vance of this topic is due to the need to introduce new information technologies into the education system of Ukraine, which are aimed at reforming the educational process in order to overcome the crisis in education and increase the level of professional education of university graduates. Goal. In the pro-cess of developing models, a large number of works were considered in which the problems of mathemat-ical modeling and management of the learning pro-cess were discussed, with the aim of increasing stu-dent performance. The purpose of this article is to describe the behavior patterns of students for the development of information technologies aimed at improving academic performance. Methodology. To achieve this goal, the methods of cluster analysis, fuzzy sets and production modeling were used. Clus-tering parameters were determined as a result of processing statistical data obtained experimentally. According to the results of the experiments, the stu-dents were divided into typological groups depend-ing on their performance, for this purpose a modi-fied cluster analysis method was used. Considering poorly formalized factors, this task was presented as a decision-making task under conditions of uncer-tainty. The result of clustering was presented with the help of a fuzzy function, and production models of students' behavior during the test (exam) were built. Results. As a result, 5 models of students' be-havior during the test (exam) were identified and described, and these models were formalized in the language of predicates. Matrices of fuzzy relations of students' preferences for evaluating their knowledge are built and formalized. The relations of strict preference for each model of student behavior are defined and a number of clearly non-dominant alternatives of student behavior that want to im-prove their academic performance are identified. Graphic representations of fuzzy possibilities of re-distributing students to another typological group by academic performance, depending on their be-havioral patterns, are constructed. Originality. This article proposes the production models of building up student behavior during the test (exam). Practical value. Formalization of student distribution models by typological groups depending on academic per-formance can be used in the development of an au-tomated tool for creating information technology to form individual methods of teaching students
Authors and Affiliations
V. Shevchenko, A. Kudin
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