Modeling the Optimal Distribution of Lecture and Practical Lesson Components
DOI:
https://doi.org/10.52575/2687-0932-2024-51-4-864-872Keywords:
learning quality, competencies, topics, study hours, experts, linear programming problem, matrix gameAbstract
The relevance of the research is due to the need to automate the educational process in the context of the transition to digital educational technologies. The problem of optimizing the distribution of study hours between lectures and practical classes is among the most important ones in the management of the educational process. The allocation of study time should be consistent with the competencies that need to be mastered when studying a section of an academic course. The purpose of this article is to develop a mathematical model for the optimal distribution of the components of a lecture and a practical lesson. The novelty of the work lies in the application of the mathematical modeling method to solve the problem under consideration. When building a mathematical model, the linear programming method is used. The target function of the task is the sum of products of study hours fractions by their coefficients of significance for building the competency. The limitations are determined by the available fund of study hours for the implementation of a given competency on a specific topic. A visual algorithm for the geometric solution of the problem by reducing it to a matrix game has been developed. The main result of the work is a mathematical model that allows achieving an optimal balance between the number of study hours allocated for assimilating the components of a lecture and practical training. This model takes into account the required level of competencies to be built in students.
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Алтунин А.Е., Семухин М.А. 2003. Модели и алгоритмы принятия решений в нечетких условиях. Тюмень: изд-во ТГУ, 352 с.
Болгова Е.В., Касаткина Т.И., Кузьменко Р.В., Москаленко А.Г. 2019. Математическое моделирование и оптимизация расчета учебной нагрузки профессорско-преподавательского состава кафедры. Вестник Воронежского института ФСИН России, 1: 39–50.
Ганичева А.В. 2012. Модель менеджмента качества учебных планов. Качество. Инновации. Образование, 4 (83): 37–41.
Ганичева А.В., Ганичев А.В. 2023. Математические методы и модели учебного процесса: монография. Тверь: Тв ГТУ, 160 с.
Григоревская Л.П., Григоревский Л.Б. 2007. Поиск критериев оптимального содержания обучения на лекционном и практическом занятиях. Сибирский педагогический журнал, 11: 54–66.
Карпачев А.А., Стародубцев П.А., Бакланов Е.Н. 2015 Инварианты учебных планов высших учебных заведений. Интернет-журнал «НАУКОВЕДЕНИЕ», 7(2). DOI: 10.15862/50PVN215.
Касаткина Т.И. Болгова Е.В. Россихина Л.В. Кузьменко Р.В. 2020. Подход к математическому моделированию распределения учебной нагрузки профессорско-преподавательского состава кафедры на основе теории множеств. Моделирование, оптимизация и информационные технологии, 8(1): 19 DOI: 10.26102/2310-6018/202.
Касаткина Т.И., Болгова Е.В., Россихина Л.В., Кузьменко Р.В., Дмитриев Е.В., Душкин А.В. 2019. Математическая модель оптимизации образовательного процесса для информационно-управляющей системы. Промышленные АСУ и контроллеры, 5: 33–43.
Харитонов И.М. 2011. Моделирование процесса построения учебного плана на основе формализованного представления учебной дисциплины. Открытое образование, 2-1: 21–32.
Шикульский М.И., Евсина Е.М., Кравченкова Т.П. 2022. Разработка математической модели распределения фонда стимулирующих выплат с учетом рейтинговых оценок профессорско-преподавательского состава высшего учебного заведения // Инженерно-строительный вестник Прикаспия: научно-технический журнал, 1 (39): 157–163.
Bronov S.A., Stepanova E.A., Panikarova N.F. Pichkovskaya S.Y. 2020 Structural control system for the educational program Based on Information Technology Proc. Int. Conf. on Economic and Social Trends for Sustainability of Modern Society, 1: 286–293.
Bronov S.A., Stepanova E.A., Pichkovskaya S.Y., Sheluhin A.V., Panikarova N.F. 2019. Information technology in the educational program design. Proc. Int. Conf. Conference on Applied Physics, Information Technologies and Engineering-APITECH-2019 (Krasnoyarsk: SibGU), 33066.
Ganicheva A.V. 2016 Optimization Models of Components of Educational Process British Journal of Mathematics & Computer Science, 14 (5): 1–11.
García M.J., Escribano Otero J.J., Carracedo F.S., Millán E., González J. 2010. Optimization of Faculty Time-Management: Some Practical Ideas. International Journal of Engineering Education, 34(5): 1467–1478.
Gutgarts R.D. 2020. Practical aspects of project-based learning in the study of the discipline “Developing information systems”. Business Informatics, 14(1): 51–61.
Levshina N.I., Sannikova L.N., Abramzon T.E., Stepanova N.A., Velikanova S.S. 2020. Control and Analytical Activity of Teachers in the Educational Institution. International Journal of Innovation, Creativity and Change, 12 (2): 725–733.
Orlov A.I. 2023. About mathematical, statistical and instrumental methods of economy and management of science Polythematic Online Scientific. Journal of Kuban State Agrarian University, 186: 173–194.
Orlov A.I. 2023. Controlling of economic and mathematical methods Polythematic Online Scientific. Journal of Kuban State Agrarian University, 190: 70–80.
Orlov A.I. 2023. Mathematical model of optimal management of the learning process Polythematic Online. Scientific Journal of Kuban State Agrarian University, 185: 106–118.
Souza M., Moreira R., Figueiredo E. 2019 Students perception on the use of project-based learning in software engineering education. Proc. Int. Conf. of the XXXIII Brazilian Symposium on Software Engineering (SBES 2019), Salvador, Bahia, Brazil, 537–546.
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