Learning platforms as a means of developing mathematical competence in high school students

Authors

DOI:

https://doi.org/10.15587/2519-4984.2026.350989

Keywords:

mathematical competence, learning platforms, digital learning environment, GeoGebra, Moodle, Desmos, formative assessment, activity-based approach, high school, mathematics education

Abstract

The article presents the results of a theoretical study of the pedagogical potential of educational platforms in the formation of mathematical competence of high school students. During the study, it was found that interactive visualization, dynamic modeling, adaptability of the learning environment, diagnostic testing and personalization of learning trajectories are key pedagogical capabilities of educational platforms that potentially contribute to the development of competence skills, and also create conditions for the effective use of the platform. The main of these conditions are the active direction of educational tasks, the problem-oriented nature of activity, the combination of individual and group work, the introduction of digital tools into the structure of the lesson and the actual methodological training of the teacher. During the work, the directions of the most appropriate application of educational platforms in teaching mathematics were determined, in particular, the organization of research activities, solving applied problems and supporting students' thinking and reflection. The scientific novelty of the study lies in the organization of the pedagogical potential of educational platforms in the context of the formation of mathematical competence of high school students, as well as in the theoretical substantiation of the conditions for their effective use. The results can serve as a basis for further empirical research and the development of methodological recommendations on the use of digital platforms in high school mathematics education

Author Biography

Valentyn Ryndiuk, Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University

PhD Student

Department of Algebra and Methods of Teaching Mathematics

References

  1. Ministerstvo osvity i nauky Ukrainy. (2016). Nova ukrainska shkola: kontseptualni zasady reformuvannia serednoi osvity. Kyiv. Available at: https://mon.gov.ua/storage/app/media/zagalna%20serednya/nova-ukrainska-shkola-compressed.pdf
  2. Pro deiaki pytannia derzhavnykh standartiv povnoi zahalnoi serednoi osvity (2020). Postanova Kabinetu Ministriv Ukrainy No. 898. 30.09.2020. Available at: https://zakon.rada.gov.ua/laws/show/898-2020-%D0%BF
  3. Cherepukhin, M. (2025). The use of the online calculator «GeoGebra» in mathematics lessons. Rozvytok profesiinoi osvity v umovakh viiny, povoiennoho vidnovlennia ta yevropeiskoi intehratsii Ukrainy, 777–783. Available at: https://conference.ivet.edu.ua/index.php/1/article/download/545/519/1540
  4. Khrushch, L., Lototskyi, V. (2019). Application of the geogebra program for the organization of educational and cognitive pupil’s activities. Mountain School of Ukrainian Carpaty, 20, 19–27. https://doi.org/10.15330/msuc.2019.20.19-27
  5. Husak, L., Radzihovska, L., Hrynchuk, T. (2024). Using the geogebra environment in the mathematical trainingof economic students. Modern Information Technologies and Innovation Methodologies of Education in Professional Training Methodology Theory Experience Problems, 70, 24–34. https://doi.org/10.31652/2412-1142-2023-70-24-34
  6. Hoyles, C. (2018). Transforming the mathematical practices of learners and teachers through digital technology. Research in Mathematics Education, 20 (3), 209–228. https://doi.org/10.1080/14794802.2018.1484799
  7. Engelbrecht, J., Borba, M. C. (2023). Recent developments in using digital technology in mathematics education. ZDM – Mathematics Education, 56 (2), 281–292. https://doi.org/10.1007/s11858-023-01530-2
  8. Digital Education Action Plan (2021–2027): Resetting education and training for the digital age (2020). European Commission. Available at: https://education.ec.europa.eu/sites/default/files/document-library-docs/deap-factsheet-sept2020_en.pdf
  9. Gurmu, F., Tuge, C., Hunde, A. B. (2024). Effects of GeoGebra-assisted instructional methods on students’ conceptual understanding of geometry. Cogent Education, 11 (1). https://doi.org/10.1080/2331186x.2024.2379745
  10. Selimi, A., Saracevic, M., Useini, A. (2020). Impact of Using Digital Tools in High School Mathematics: A Case Study in North Macedonia. Universal Journal of Educational Research, 8 (8), 3615–3624. https://doi.org/10.13189/ujer.2020.080838
  11. Drijvers, P. H. M.; Cho, S. J. (Ed.) (2015). Digital technology in mathematics education: Why it works (or doesn’t). Selected Regular Lectures from the 12th International Congress on Mathematical Education. Springer, 135–151. http://doi.org/10.1007/978-3-319-17187-6_8
  12. Hoyles, C., Lagrange, J.-B. (Eds.) (2010). Mathematics Education and Technology – Rethinking the Terrain. Springer, 450. http://doi.org/10.1007/978-1-4419-0146-0
  13. Psycharis, S., Chalatzoglidis, G., Kalogiannakis, M. (2013). Moodle as a learning environment in promoting conceptual understanding for secondary school students. Eurasia Journal of Mathematics, Science and Technology Education, 9 (1), 11–21. http://doi.org/10.12973/eurasia.2013.912a
  14. Tong, D. H., Uyen, B. P., Diem Kieu, H. T., Ngan, L. K. (2021). The effectiveness of using GeoGebra software in mathematics classrooms: A case study of teaching continuous functions in high schools. Journal of Hunan University Natural Sciences, 48 (9), 256–268. Available at: https://jonuns.com/index.php/journal/article/view/742
  15. Munyaruhengeri, J. P. A., Umugiraneza, O., Ndagijimana, J. B., Hakizimana, T. (2025). Exploring Teachers’ Perceptions of GeoGebra’s Usefulness for Learning Limits and Continuity: A Gender Perspective. Social Sciences & Humanities Open, 11, 101412. https://doi.org/10.1016/j.ssaho.2025.101412
  16. Pavlova, N. (2024). Tsyfrove osvitnie seredovyshche u konteksti tsyfrovizatsii osvity. SCIENTIA. Zagreb, 72–75. Available at: https://previous.scientia.report/index.php/archive/article/view/1988
  17. Bykov, V. Yu., Burov, O. Yu. (2020). Digital learning environment: new technologies and requirements for knowledge students. Suchasni informatsiini tekhnolohii ta innovatsiini metodyky navchannia v pidhotovtsi fakhivtsiv: metodolohiia, teoriia, dosvid, problemy, 55, 11–25. https://doi.org/10.31652/2412-1142-2020-55-11-22
  18. Matiash, O., Ryndiuk, V. (2025). Using digital learning platforms in mathematics education: the experience of Denmark. Scientific innovations and advanced technologies, 2 (42), 1503–1514. https://doi.org/10.52058/2786-5274-2025-2(42)-1503-1514
  19. Matiash, O., Panasenko, O., Horiashyn, A. (2023). Learning platforms in the training of future mathematics teachers: analysis of foreign experience. ScienceRise: Pedagogical Education, 4 (55), 9–14. https://doi.org/10.15587/2519-4984.2023.284676
  20. Matiash, O., Ryndiuk, V. (2023). Teaching mathematics with the use of digital learning platforms: analysis of foreign experience. Physical and Mathematical Education, 38 (3), 43–49. https://doi.org/10.31110/2413-1571-2023-038-3-006
  21. Ryndiuk, V. (2024). Teaching mathematics using digital learning platforms: analysis of local experience. Dydaktyka Matematyky: Teoriia, Dosvid, Innovatsii, 1, 72–80. https://doi.org/10.31652/3041-2277-2024-1-72-80

Published

2026-02-26

How to Cite

Ryndiuk, V. (2026). Learning platforms as a means of developing mathematical competence in high school students. ScienceRise: Pedagogical Education, (1 (66), 4–10. https://doi.org/10.15587/2519-4984.2026.350989

Issue

Section

Pedagogical Education