Studying the school mathematics course based on the competence approach: Divisibility of integers (part 2)
Introduction. The article discusses the problem of improving the quality of mathematical education in secondary schools. The purpose of the study is to build school mathematics course based on the competence approach developed and refined by the author, to demonstrate what has been said using the example of the last three basic competencies of the ‘Divisibility of integers’ topic.
Materials and Methods. The basis of the methodology is the integration of the author’s consistent theory and technology about the competence approach and long-term practice in teaching this topic.
Results. The study is a continuation of the author's research, and is also aimed at improving the level of mathematical education of students with a physical and mathematical bias and children with disabilities based on a competency-based approach. Many students trained using this technology have become worthy citizens of Russia. The expediency of choosing this topic is due to the following circumstances: it causes great difficulties for teachers (not only Russian ones), students of pedagogical universities and, as a result, for high school students who lose points on the Unified State Exam.
Conclusions. The introduction of a competence-based approach into the process of studying school mathematics will help improve the quality of mathematical education and personal development of students, thereby contributing to preparing future professionals to solve the significant problem posed by the President of the country: to develop the Russian economy ahead of the foreign ones.
Competence approach; Competency; Competence; Improving the level of mathematical education of students; Integration of theory and practice
- Zhafyarov A. Z. Studying the school mathematics course based on the competence approach. Science for Education Today, 2026, vol. 16 (1), pp. 160–180. DOI: http://dx.doi.org/10.15293/2658-6762.2601.07
- Zhafyarov A. Z. Models and criteria for monitoring the quality of education. Science for Education Today, 2021, vol. 11 (4), pp. 136-154. DOI: http://dx.doi.org/10.15293/2658-6762.2104.07
- Guerrero Chanduví D. A., Girón Escobar C., Jara Gallo D., Cruz Alayza V. Analysis of the intellectual structure of scientific papers about professional competences related to organizational psychology. Procedia – Social and Behavioral Sciences, 2016, vol. 226, pp. 286-293. DOI: https://doi.org/10.1016/j.sbspro.2016.06.190
- Hašková A., Lukáčová D., Noga H. Teacher’s self-assessment as a part of quality management. Science for Education Today, 2019, vol. 9 (2), pp. 156-169. DOI: http://dx.doi.org/10.15293/2658-6762.1902.11
- Bilal, Guraya S. Y., Chen S. The impact and effectiveness of faculty development program in fostering the faculty’s knowledge, skills, and professional competence: A systematic review and meta-analysis. Saudi Journal of Biological Sciences, 2019, vol. 26, pp. 688-697. DOI: https://doi.org/10.1016/j.sjbs.2017.10.024
- Gravina E. W. Competency-based education and its effect on nursing education: A literature review. Teaching and Learning in Nursing, 2017, vol. 12 (2), pp. 117-121. DOI: https://doi.org/10.1016/j.teln.2016.11.004
- Pijl-Zieber E. M., Barton S., Konkin J., Awosoga O., Caine V. Competence and competency-based nursing education: Finding our way through the issues. Nurse Education Today, 2014, vol. 34 (5), pp. 676-678. DOI: https://doi.org/10.1016/j.nedt.2013.09.007
- Latuha O. A. Training leaders of organizations in sustainable development management. Novosibirsk State Pedagogical University Bulletin, 2018, vol. 8 (3), pp. 225-236. DOI: http://dx.doi.org/10.15293/2226-3365.1803.16
- Miranda S., Orciuoli F., Loia V., Sampson D. An ontology-based model for competence management. Data and Knowledge Engineering, 2017, vol. 107, pp. 51-66. DOI: https://doi.org/10.1016/j.datak.2016.12.001
10. Pushkarev Y. V., Pushkareva E. A. Digital transformations of the education system: Trends, problems, and priorities of personal development (A critical review). Science for Education Today, 2025, vol. 15 (6), pp. 71-96. DOI: http://dx.doi.org/10.15293/2658-6762.2506.04
11. Pushkareva E. A., Pushkarev Y. V. Cognitive-reflexive personality development: Evaluating the impact of the changing information and educational environment. Science for Education Today, 2024, vol. 14 (6), pp. 128-154. DOI: http://dx.doi.org/10.15293/2658-6762.2406.06
12. Brevik L. M., Gudmundsdottir G. B., Lund A., Strømme T. A. Transformative agency in teacher education: Fostering professional digital competence. Teaching and Teacher Education, 2019, vol. 86, pp. 102875. DOI: https://doi.org/10.1016/j.tate.2019.07.005
13. Instefjord E. J., Munthe E. Educating digitally competent teachers: A study of integration of professional digital competence in teacher education. Teaching and Teacher Education, 2017, vol. 67, pp. 37-45. DOI: https://doi.org/10.1016/j.tate.2017.05.016
14. Zhafyarov A. Z. Competence approach: Consistent theory and technology. Science for Education Today, 2019, vol. 9 (2), pp. 81-95. DOI: http://dx.doi.org/10.15293/2658-6762.1902.06
15. Cheetham G., Chivers G. The reflective (and competent) practitioner: A model of professional competence which seeks to harmonise the reflective practitioner and competence-based approaches. Journal of European Industrial Training, 1998, vol. 22 (7), pp. 267-276. DOI: https://doi.org/10.1108/03090599810230678
16. Rezgui K., Mhiri H., Ghédira K. Ontology-based e-Portfolio modeling for supporting lifelong competency assessment and development. Procedia Computer Science, 2017, vol. 112, pp. 397-406. DOI: https://doi.org/10.1016/j.procs.2017.08.041
17. Gadušova Z., Hašková A., Szarszoi D. Teachers` competences evaluation: Case study. Science for Education Today, 2020, vol. 10 (3), pp. 164-177. DOI: http://dx.doi.org/10.15293/2658-6762.2003.09
18. Lauermann F., König J. Teachers’ professional competence and wellbeing: Understanding the links between general pedagogical knowledge, self-efficacy and burnout. Learning and Instruction, 2016, vol. 45, pp. 9-19. DOI: https://doi.org/10.1016/j.learninstruc.2016.06.006
19. Stefanutti L., de Chiusole D. On the assessment of learning in competence based knowledge space theory. Journal of Mathematical Psychology, 2017, vol. 80, pp. 22-32. DOI: https://doi.org/10.1016/j.jmp.2017.08.003
20. Bergsmann E., Schultes M.-Th., Winter P., Schober B., Spiel Ch. Evaluation of competence-based teaching in higher education: From theory to practice. Evaluation and Program Planning, 2015, vol. 52, pp. 1-9. DOI: https://doi.org/10.1016/j.evalprogplan.2015.03.001
21. Judrups J., Zandbergs U., Arhipova I., Vaisnore L. Architecture of a competence – based human resource development solution. Procedia Computer Science, 2015, vol. 77, pp. 184-190. DOI: https://doi.org/10.1016/j.procs.2015.12.382
22. Schipper T., Goei S. L., de Vries S., van Veen K. Professional growth in adaptive teaching competence as a result of Lesson Study. Teaching and Teacher Education, 2017, vol. 68, pp. 289-303. DOI: https://doi.org/10.1016/j.tate.2017.09.015
23. Zhafyarov A. Z. Criteria for studying dependent and independent samples in the field of education. Science for Education Today, 2022, vol. 12 (3), pp. 69-91. DOI: http://dx.doi.org/10.15293/2658-6762.2203.04
24. Zhafyarov A. Zh. Refined and supplemented author's criterion for the study of dependent and independent samples in the field of experimental sciences (with the focus on education). Science for Education Today, 2023, vol. 13 (2), pp. 123-144. DOI: http://dx.doi.org/10.15293/2658-6762.2302.06










