Online course as a means of developing master's professional competencies: results of a pedagogical experiment




blended learning, online course, teacher’s e-portfolio, master students, speciality 014 Secondary Education (Mathematics), pedagogical experiment


The article proposes a solution to a scientific problem, which is to substantiate the feasibility of using online courses in the professional training of masters in the pedagogical university, to develop an online course and experimentally test its effectiveness as a means of developing the professional competencies of masters in the speciality 014~Secondary Education (Mathematics). The author used the following methods of scientific research: pedagogical experiment, observation (for systematic perception and analysis of learning activities, motivation and personal growth of students in the context of blended learning), testing (to determine the level of logical thinking and development of students’ professional competences), questionnaire (to monitor the ergonomics and efficiency of the online course and the Mathematics teacher’s e-portfolio), expert evaluation of the developed online course, and methods of mathematical statistics (for proper processing of experimental data and verification of the online course’ effectiveness). The results of the control stage of the study indicate a positive trend in the development of mathematical, information and educational, methodological, psychological and pedagogical, and professional and technological competencies of students in the experimental group. The final test of the online course was chosen as a tool for determining the level of mathematical competencies of the masters in the experimental group. The reliability of the assessment of the masters’ professional competencies was confirmed by testing the hypothesis of the normal distribution of test results according to the Shapiro-Wilk test. In addition, a close correlation between students' academic achievement level in an online course and the level of logical thinking development was substantiated using the Student’s t-test. Prospects for further research include the development of online courses on Mathematics teaching methods with an emphasis on methodical, professional, and technological competencies; a detailed study of the impact of the latest information technologies (artificial intelligence, virtual and augmented reality, web programming, etc.) on the development of students’ information and educational professional competences in distance and blended learning.


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Adinda, D., Mohib, N.: Teaching and Instructional Design Approaches to Enhance Students’ Self-Directed Learning in Blended Learning Environments. Electronic Journal of e-Learning 18(2), 162–174 (2020), DOI:

Aidoo, B., Macdonald, M.A., Vesterinen, V.M., Pétursdóttir, S., Gı́sladóttir, B.: Transforming Teaching with ICT Using the Flipped Classroom Approach: Dealing with COVID-19 Pandemic. Education Sciences 12(6), 421 (2022), URL DOI:

Conde, M.A., Rodrı́guez-Sedano, F.J., Fernández, C., Gutiérrez-Fernández, A., Fernández-Robles, L., Castejón Limas, M.: A Learning Analytics tool for the analysis of students’ Telegram messages in the context of teamwork virtual activities. In: Eighth International Conference on Technological Ecosystems for Enhancing Multiculturality, p. 719–724, TEEM’20, Association for Computing Machinery, New York, NY, USA (2021), ISBN 9781450388504, DOI:

Drushlyak, M., Semenikhina, O., Proshkin, V., Naboka, O.: Use of specialized software for the development of visual thinking of students and pupils. E-learning, vol. 12, p. 147–158, Studio NDA, Katowice–Cieszyn (2020),

Hodovaniuk, T., Makhometa, T., Tiahai, I., Medvedieva, M., Pryshchepa, S.: The Use of ICT in the Flip Teaching of Future Mathematics Teachers. In: Sokolov, O., Zholtkevych, G., Yakovyna, V., Tarasich, Y., Kharchenko, V., Kobets, V., Burov, O., Semerikov, S., Kravtsov, H. (eds.) Proceedings of the 16th International Conference on ICT in Education, Research and Industrial Applications. Integration, Harmonization and Knowledge Transfer. Volume II: Workshops, Kharkiv, Ukraine, October 06-10, 2020, CEUR Workshop Proceedings, vol. 2732, pp. 709–720, (2020), URL

Hodovaniuk, T., Makhometa, T., Tiahai, I., Mykolaiko, V.: The use of blended learning technologies in the training of future teachers of Mathematics. Collection of Scientific Papers of Uman State Pedagogical University (4), 129–135 (Dec 2021), DOI:

Hodovaniuk, T., Makhometa, T., Tiahai, I., Voznosymenko, D., Dubovyk, V.: Use of the Dynamic Mathematical Program of GeoGebra in Classes in Mathematical Disciplines in the Conditions of Blended Learning. In: Lytvynova, S., Burov, O.Y., Demeshkant, N., Osadchyi, V., Semerikov, S. (eds.) Proceedings of the VI International Workshop on Professional Retraining and Life-Long Learning using ICT: Person-oriented Approach (3L-Person 2021) co-located with 17th International Conference on ICT in Education, Research, and Industrial Applications: Integration, Harmonization, and Knowledge Transfer (ICTERI 2021), Kherson, Ukraine, October 1, 2021, CEUR Workshop Proceedings, vol. 3104, pp. 77–86, (2021), URL

Hodovaniuk, T., Vasylieva, D.: Some aspects of mathematics blended learning organization in schools. Ukrainian Pedagogical Journal (2), 105–115 (2022), DOI:

Hodovaniuk, T., Voznosymenko, D.: The value-competent approach in the professional training of future teachers of mathematics. Collection of Scientific Papers of Uman State Pedagogical University (4), 24–31 (Jan 2023), DOI:

Imamyartha, D., Widiati, U., Anugerahwati, M., Hamat, A.: Moodle and Telegram to Develop Students’ Language Performance and Knowledge Co-Construction in Technology-Enhanced CLIL. Studies in English Language and Education 10(2), 863–883 (2023), DOI:

Kaluhin, R.: Competence model of master in specialty 014 Secondary Education (Mathematics). Bulletin of the Cherkasy Bohdan Khmelnytsky National University. Series “Pedagogical Sciences” (3), 116–122 (2021), URL

Kaluhin, R.: Electronic constructor of stereometric problems. Naukovi zapysky molodykh vchenykh (10) (2022), ISSN 2617-2666, URL

Kaluhin, R.: A roadmap for online course development to blended learning of master students. Physical and Mathematical Education 35(3), 33–40 (2022), DOI:

Kuzminska, O.: Portfolio Oleny Kuzminskoi (2024), URL

Lorenz, P., König, L.: Engaging students through messaging applications in foreign language learning. Journal of Applied Learning and Teaching 6(2), 241–251 (2023), DOI:

Lovianova, I.: Robocha prohrama navchalnoi dystsypliny “Metodyka navchannia matematyky u profilnii shkoli” (2023), URL

Lovianova, I.: Metodychni studii Iryny Lovianovoi (2024), URL

Lovianova, I., Kaluhin, R., Kovalenko, D., Rovenska, O., Krasnoshchok, A.: Development of logical thinking of high school students through a problem-based approach to teaching mathematics. Journal of Physics: Conference Series 2288(1), 012021 (2022), DOI:

Lysenko, I.: Organization of distance and blended learning on the Moodle platform. Research Notes. Series “Psychology and Pedagogy Research (Nizhyn Mykola Gogol State University)” (2), 79–88 (2023), DOI:

Mahdiuon, R., Salimi, G., Raeisy, L.: Effect of social media on academic engagement and performance: Perspective of graduate students. Education and Information Technologies 25(4), 2427–2446 (2020), DOI:

Makhometa, T., Tiahai, I.: Innovative technologies for the training of future teachers of Mathematics: current trends and practice of implementation. Science and Technology Today (3(17)), 360–369 (2023), DOI:

Martyniuk, O., Martyniuk, O., Pankevych, S., Muzyka, I.: Educational direction of STEM in the system of realization of blended teaching of Physics. Educational Technology Quarterly 2021(3), 347–359 (2021), DOI:

Mintii, I.: Blended learning for teacher training: benefits, challenges, and recommendations. Educational Dimension 9, 1–12 (2023), DOI:

Nungu, L., Mukam, E., Nsabayezu, E.: Online collaborative learning and cognitive presence in mathematics and science education. Case study of university of Rwanda, college of education. Education and Information Technologies 28(9), 10865–10884 (2023), DOI:

Omar, A., Harb, F.E., Al-Shredi, N., Ethelb, H.: Exploration of EFL Freshman Law Students’ Attitudes on Telegram Messenger Usability in a Legal Terminology Course. Theory and Practice in Language Studies 12(12), 2519–2526 (2022), DOI:

Rashevska, N., Kiianovska, N.: Improving blended learning in higher technical education institutions with mobile and cloud-based ICTs. Educational Dimension 9, 13–31 (2023), DOI:

Rudenko, Y., Naboka, O., Korolova, L., Kozhukhova, K., Kazakevych, O., Semenikhina, O.: Online Learning with the Eyes of Teachers and Students in Educational Institutions of Ukraine. TEM Journal 10, 922–931 (2021), DOI:

Semerikov, S., Vakaliuk, T., Mintii, I., Didkivska, S.: Challenges facing distance learning during martial law: results of a survey of Ukrainian students. Educational Technology Quarterly 2023(4), 401–421 (2023), DOI:

Sitak, I., Vlasenko, K., Kondratyeva, O., Lovianova, I., Chumak, O.: Methodological approach for developing online courses: a case study. Educational Technology Quarterly 2023(4), 436–457 (2023), DOI:

Spirin, O.M., Pinchuk, O.P.: Tsyfrova transformatsiia osvitnikh seredovyshch: osnovni napriamy ta zavdannia naukovo-pedahohichnykh doslidzhen. In: Innovatsiini transformatsii v suchasnii osviti: vyklyky, realii, stratehii. Zbirnyk materialiv V Vseukrainskoho vidkrytoho naukukovo-praktychnoho onlain-forumu, p. 187–190, Natsionalnyi tsentr “Mala akademiia nauk Ukrainy”, Kyiv (2023), URL

Topolnyk, Y.: Metodychni rekomendatsii z vykorystannia zasobiv informatsiino-komunikatsiinoi pidtrymky naukovo-pedahohichnykh doslidzhen: dlia zdobuvachiv stupeniv vyshchoi osvity “mahistr” i “doktor filosofii” v haluzi znan “Osvita»”. Vyd-vo B. I. Matorina, Sloviansk (2018)

Vakaliuk, T.: Portfolio Tetiany Vakaliuk (2024), URL






How to Cite

Kaluhin, R.Y., 2024. Online course as a means of developing master’s professional competencies: results of a pedagogical experiment. Educational Dimension [Online]. Available from: [Accessed 14 April 2024].
Received 2024-01-17
Accepted 2024-02-13
Published 2024-02-24

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