Abstract

In this paper we give the mathematical description of the model of transferring the grades, obtained by students, based on the results of completing tasks into the assessment of the level of mastering competencies by them, the description is given of the educational activity monitoring system developed according to a mathematical model on the basis of competence-based approach, and the results of assessing its efficiency. Research goal: to reveal the interrelation between score estimates of the student and level of mastering competences and to make the process of determining the level of mastering competences automatic. The mathematical model of the grades transfer to assessing the level of mastering competences is developed in order to achieve this goal. The formulas solving this problem are presented. A study manual was created based on the developed mathematical model, which is intended for: 1) creating and maintaining reference books (teachers, students, competences, disciplines, means of estimation); 2) maintaining the online journal of students’ progress record; 3) determining the level of mastering competences in accordance with the developed algorithm; 4) maintaining the mechanism of data access restriction; 5) forming reports of the registered form of various complexity degrees. The task was solved by means of this study manual. Materials and methods: the fund of estimation means for the subject served as the material for the research, it contains data on the number of points, that a student can receive in the course of studying the subject, and direct distribution of these points for a certain kind of activity and competences which are formed in the course of studying the given subject. The journal of student’s progress is described, reflecting the received number of points in the course of studying the subject by each type of occupation. Results: Because of using the developed software program, the level of mastering each of the competences was obtained, which are formed in the course of studying a certain subject, expressed as a percentage. A number of experiments were conducted in order to obtain the research results. The results of two experiments are presented in this article. For descriptive reasons the results are also presented graphically in the chart form. Conclusions: according to the results of the conducted experiments it is possible to make a conclusion that this study manual completely satisfies the described tasks and gives the opportunity to automatically estimate not only the amount of the gained knowledge, but its quality, as well.

Highlights

  • In this paper we give the mathematical description of the model of transferring the grades, obtained by students, based on the results of completing tasks into the assessment of the level of mastering competencies by them, the description is given of the educational activity monitoring system developed according to a mathematical model on the basis of competence-based approach, and the results of assessing its efficiency

  • The mathematical model of the grades transfer to assessing the level of mastering competences is developed in order to achieve this goal

  • A study manual was created based on the developed mathematical model, which is intended for: 1) creating and maintaining reference books; 2) maintaining the online journal of students’ progress record; 3) determining the level of mastering competences in accordance with the developed algorithm; 4) maintaining the mechanism of data access restriction; 5) forming reports of the registered form of various complexity degrees

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Summary

Educational Environment

Волжский политехнический институт, (филиал) Волгоградского государственного технического университета, Волжский, Россия. Разработка системы мониторинга учебной деятельности на базе компетентностного подхода. В данной статье приведено математическое описание модели перевода баллов, полученных студентами по результатам выполнения заданий в оценку уровня усвоения ими компетенций, приведено описание разработанной согласно математической модели системы мониторинга учебной деятельности на базе компетентностного подхода, а также результаты оценки ее эффективности. The mathematical model of the grades transfer to assessing the level of mastering competences is developed in order to achieve this goal. The formulas solving this problem are presented.

Образовательная среда
Экспериментальная оценка эффективности разработанной системы
Результаты проведения второго эксперимента
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