Analysis of existing mathematical models for assessing the competencies of higher education students

Objective. The purpose of the work is to determine the features of mathematical models for implementing the competence-based assessment approach. It is necessary to identify which parameters are appropriate to use in the mathematical model, the methodology for their determination, and at what stage the final assessment of competencies is formed. Method. The study is based on the theoretical and information analysis of mathematical models for assessing competencies. Result. The development of a mathematical model for assessing competencies requires taking into account factors, including the labor intensity of the academic discipline, class attendance, participation in Olympiads, conferences, etc. It has been established that competence assessment does not always depend on only one area of knowledge, but is interdisciplinary and includes not only knowledge, abilities and skills, but takes into account the influence of the social, information and intellectual environment. The study showed the prospects of applying the theory of latent variables. Conclusion. The scientific review allows developing a new mathematical model for the competence-based approach to mastering the curriculum. To modernize the competence-based approach, it is necessary to collect information on the extracurricular activities of the student. The result of the competency assessment will be a competency map, formed during the semester or course.

1. Bychkovskaya Y.A. The current state of the problem of ensuring the assessment of competencies of students of higher education. System analysis in science and education.2023;4:142-147. (In Russ)

2. Makushkina L.A., Fadeeva M.V. Development of a system for monitoring educational activities based on a competence-based approach. Open education.2017;3:29-38. (In Russ)

3. Mikhailenko T.S. A competence-based approach to assessing the quality of student learning outcomes. Scientific and methodological electronic journal "Concept". 2014; 22:51-55. (In Russ)

4. Zimnaya I.A. Competence and competence in the context of a competence-based approach in education. Foreign languages at school.2012.6:2-10. (In Russ)

5. Rybanov A.A., Makushkina L.A. Technology for determining the weighting coefficients of the complexity of distance learning topics based on the Saati algorithm. Open and distance education.2016.1:69-79. (In Russ)

6. Bratyshchenko V.V. A model with latent parameters for assessing competencies. New information technologies in education and science. Russian State Vocational Pedagogical University.2017;2:46-51(In Russ)

7. Bratischenko V.V. Keshikov K.A. Assessment of university students' competencies based on current academic performance data. Modern problems of vocational education: experience and solutions.2016;1:163-167(In Russ)

8. Bratischenko V.V. Assessment of the formation of competencies according to current academic performance. Actual issues of agrarian science.2018;28:31-37(In Russ)

9. Berestneva O.G., Marukhina O.G., Abunavas H.A. Algorithmic and software support of the information system for assessing the competence of students of a technical university. Proceedings of Tomsk Polytechnic University.2006;7:240-245 (In Russ)

10. Berestneva O.G., Sharopin K.A., Marukhina O.V. Expert system for assessing the competence of graduates of a technical university. Artificial intelligence.2004;4:264-267. (In Russ)

11. Berestneva O.G., Ivanov V.T., Ivankina L.I., Sharopin K.A. Complex of psychophysiological examination of students. Purpose, structure, results. Proceedings of Tomsk Polytechnic University.2003;306(2):57-63. (In Russ)

12. Borzykh V.E., Shalkina T.N., Nikolaeva D.R. Method of mathematical modeling of the process of evaluating professional competencies of university graduates. Problems of science and education.2015;1(1): 106-120. (In Russ)

13. Askerov E.M., Rudinsky I.D. Automation of multi-criteria assessment of professional competencies of future specialists. Informatization of education and science.2008;3(7):82-89. (In Russ)

14. Popov G.V., Zabegalina T.V. Assessment of professional competencies. Methods of management and quality.2007;6:40-43. (In Russ)

15. Skorev, M.M., Oleinikova N.S. Qualification pit: theoretical and methodological approaches. Science and education: economy and economics; entrepreneurship; law and management.2020;.2(111):23-25. (In Russ)

16. Miroshnikov V.V., Mitroshenkova E. A. Automated system for assessing and monitoring the level of competence development by students: organizational and methodological support. Bulletin of the Bryansk State Technical University.2019;1(74):77-84. (In Russ)

17. Miroshnikov V.V., Mitroshenkova E. A. The system of monitoring the quality of student education with a competence-based approach. Bulletin of the Bryansk State Technical University.2015;2:152-160. (In Russ)

18. Rodionov A.V. Using cognitive modeling methods to build a competence-oriented educational process Theoretical and applied aspects of modern science.2015;(1):19-24. (In Russ)

19. Tigina M.A. Algorithm for assessing the level of competence formation. Bulletin of the Moscow State Unitary Enterprise named after Ivan Fedorov.2014. 3:248-252. (In Russ)

20. Litvinov V.A. On the issue of assessing the formation of students' competencies during intermediate and final attestation. Modern education.2019.1:85-91 (In Russ)