Regional and Gender Factors in Mastering Subject Knowledge (Using Mathematics as an Example)
https://doi.org/10.26907/esd.21.2.13
EDN: YZEQUW
Abstract
The necessity to reduce the regional educational gap and to consider gender differences in mastering mathematics underscores the relevance of this study. This research is the first to integrate both gender and regional aspects within the context of mathematics education. The aim of the study is to examine the process of students’ acquisition of mathematical concepts, taking into account gender and the conditions of secondary education (urban or rural areas).
This research is based on the APOS theory, which is grounded in constructivist principles. This theory describes the step-by-step formation of mathematical concepts through a sequence of mental constructions: Action, Process, Object, and Schema. The empirical material was obtained from a written survey conducted in 2024 among students of Kazan State University of Architecture and Civil Engineering. The study made it possible to determine the levels of mastery of mathematical concepts and to compare the frequency and nature of students’ errors in different regional groups. The analysis of errors at the APOS stages shows that students’ understanding of mathematical concepts differs depending on the conditions of their secondary education, urban or rural, and on gender. The findings contribute to understanding the impact of gender and regional differences on mastering mathematical concepts, providing university instructors and school teachers with valuable insights for improving instruction.
About the Authors
Nail TuktamyshovRussian Federation
Kazan
Tatiana Gorskaya
Russian Federation
Kazan
References
1. Arnon, I., Cottrill, J., Dubinsky, E., Oktac, A., Trigueros, S., & Weller, K. (2014). APOS Theory: A Framework for Research and Curriculum Development in Mathematics Education. Springer. https://doi.org/10.1007/978-1-4614-7966-6
2. Asare, B., & Larbi, E. (2025). Nexus between emotional intelligence and mathematics performance: the role of metacognitive awareness. Cogent Education, 12(1). https://doi.org/10.1080/2331186X.2025.2450117
3. Azizi, H., & Herman, T. (2020). Critical thinking and communication skills of 10th grade students in trigonometry. Journal of Physics: Conference Series, 1469, 012161. https://doi.org/10.1088/17426596/1469/1/012161
4. Caspi, A., & Gorsky, P. (2024). STEM career expectations across four diverse countries: motivation to learn mathematics mediates the effects of gender and math classroom environments. International Journal of STEM Education, 11, 1–15. https://doi.org/10.1186/s40594-024-00511-5
5. Chertkova, Y. D., & Egorova, M. S. (2013). Gender differences in mathematical abilities. Psikhologicheskie issledovaniya – Psychological Research, 6(31), 1–20. https://doi.org/10.54359/ps.v6i31.667
6. Chesters, J., & Cuervo, H. (2022). (In)equality of opportunity: educational attainments of young people from rural, regional and urban Australia. The Australian Educational Researcher, 49, 43–61. https://doi.org/10.1007/s13384-021-00432-0
7. Cutler White, C., & Chapman, D. D. (2024). Rural Parent Viewpoints of What Makes College Possible: A Q Methodology Study. The Rural Educator, 45(2), 43–60. https://doi.org/10.55533/26439662.1399
8. Dalinger, V. A. (2014). Typical errors of students in mathematics and their causes. Sovremennye naukojmkie tekhnologii – Modern High Technologies, 12-1, 94–97.
9. Darmaji, D., Astalini, A., Kurniawan, D., & Aldila, F. (2022). Gender and Perception: Implementation of Web-based Character Assessment in Science Learning. Journal of Educational Research and Evaluation, 6(1), 131–142. https://doi.org/10.23887/jere.v6i1.37737
10. Dubinsky, E. (2002). Reflective Abstraction in Advanced Mathematical Thinking. In D. Tall (Ed.), Advanced Mathematical Thinking (pp. 95–126). Springer. https://doi.org/10.1007/0-30647203-1_7
11. Dubinsky, E., & Mcdonald, M. A. (2001). APOS: A constructivist theory of learning in undergraduate mathematics education research. In D. Holton, M. Artigue, U. Kirchgräber, J. Hillel, M. Niss, & A. Schoenfeld (Eds.), The Teaching and Learning of Mathematics at University Level: An ICMI Study (pp. 275–282). Springer. https://doi.org/10.1007/0-306-47231-7_25
12. Girelli, L. (2023). What does gender has to do with math? Complex questions require complex answers. Journal of Neuroscience Research, 101, 679–688. https://doi.org/10.1002/jnr.25056
13. Golubovski, V. N. (2023). Sociocultural factors of vocational education upgrade. Universitetskij pedagogicheskij zhurnal – University Pedagogical Journal, 1, 10–17. https://doi.org/10.33581/2791-2892-2023-1-10-17
14. Gromova, Y. V., & Safuanov, I. S. (2014). Implementation of Geogebra courseware in teaching the concept of mathematical function. Obrazovanie i nauka – The Education and Science Journal, 4(113), 113–131. https://doi.org/10.17853/1994-5639-2014-4-113-131
15. Gumerova, F. F., Amirova, L. A., Kalimullina, G. I., Mustaev, A. F., & Gumerova, O. V. (2023). Determining conditions for improving the quality of education in rural schools with low educational outcomes. Science for Education Today, 13(1), 85–107. https://doi.org/10.15293/26586762.2301.05
16. Hadyaoui, A., & Cheniti‐Belcadhi, L. (2023). Exploring the effects of gender in skills acquisition in collaborative learning based on the ontological clustering model. Journal of Computer Assisted Learning, 40(6), 2484–2495. https://doi.org/10.1111/jcal.12852
17. Kaplunovich, I. Ya. (2017). Gender differences in the structure of visual thinking. Mezhdunarodnyj zhurnal prikladnyh i fundamental’nyh issledovanij – International Journal of Applied and Fundamental Research, 11, 295–299.
18. Kondaurova, I. K., & Shapshalova, T. V. (2017). Gender approach in the teaching of mathematics at school. Baltijskij gumanitarnyj zhurnal – Baltic Humanitarian Journal, 6(1(18)), 168–171.
19. Koricich, A., Chen, X., & Hughes, R. P. (2018). Understanding the effects of rurality and socioeconomic status on college attendance and institutional choice in the United States. The Review of Higher Education, 41(2), 281–305. https://doi.org/10.1353/rhe.2018.0004
20. Kuzniak, A., & Nechache, A. (2022). Understanding mathematical work and mathematical thinking through individuals’ actions analyses: a networking approach. In CERME12: Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (pp. 2986– 2994).
21. Lebedeva, N. V., & Vilkova, K. A. (2022). Why Girls Do Not Choose STEM? Gender Differences in Motivation. Monitoring mneniya: ehkonomicheskie i social’nye issledovaniya – Monitoring of Public Opinion: Economic and Social Changes, 3, 115–135. https://doi.org/10.14515/monitoring.2022.3.1923
22. Mali, A., Martinez, P. H., Anastasakis, M., Kouvela, E., & Treffert-Thomas, S. (2022). The interplay between person and environment, cognition and emotion: Using the concept of perezhivanie in mathematics education. In CERME12: Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (pp. 3004–3012).
23. Nguyen, H. A., Hou, X., Richey, J., & McLaren, B. (2022). The impact of gender in learning with games: A consistent effect in a math learning game. International Journal of Game-Based Learning (IJGBL), 12(1), 1–29. https://doi.org/10.4018/IJGBL.309128
24. Parsons, R. (2022). Moving Out to Move Up: Higher Education as a Mobility Pathway in the Rural South. RSF: The Russell Sage Foundation Journal of the Social Sciences, 8(3), 208–229. https://doi.org/10.7758/RSF.2022.8.3.09
25. Shtyleva, L. V. (2018). What is the reason for the gender gap in mathematical education and STEM employment of Russian school graduates? Vestnik Nizhegorodskogo universiteta im. N.I. Lobachevskogo. Seriya: Social’nye nauki – Bulletin of N.I. Lobachevsky Nizhny Novgorod University, 3(51), 166–173.
26. Siyepu, S. W. (2015). Analysis of errors in derivatives of trigonometric functions. International Journal of STEM Education, 2, 16. https://doi.org/10.1186/s40594-015-0029-5
27. Şefik, Ö., Erdem Uzun, Ö., & Dost, Ş. (2021). Content Analysis of the APOS Theory Studies on Mathematics Education Conducted in Turkey and Internationally: A Meta-Synthesis Study. Necatibey Faculty of Education Electronic Journal of Science and Mathematics Education, 15(2), 404–428. https://doi.org/10.17522/balikesirnef.1020526
28. Tikhomirova, T. N., & Malykh, S. B. (2023). Gender Differences in School Achievement on Mathematics and Russian Language: Cross-cultural Study. Sibirskiy psikhologicheskiy zhurnal – Siberian journal of psychology, 87, 104–123. https://doi.org/10.17223/17267080/87/6
29. Tuktamyshov, N. K., & Gorskaya, T. Yu. (2025). Comparative Analysis of the Formation of Mathematical Concepts among Students through the Prism of APOS Theory: Urban vs. Rural. Psikhologicheskaya nauka i obrazovanie – Psychological Science and Education, 30(1), 93–104. https://doi.org/10.17759/pse.2025300107
30. Tuktamyshov, N. K., & Gorskaya, T. Yu. (2022). On the role of visualization in teaching mathematics (using an example of the concept of function). Vektor nauki Tolyattinskogo gosudarstvennogo universiteta. Seriya: Pedagogika, psikhologiya – Vector of Science of Togliatti State University. Series: Pedagogy, Psychology, 3, 51–58. https://doi.org/10.18323/2221-5662-2022-3-51-58
31. Welsh, R. O. (2025). Does Rural Mean not Urban? Reconsidering the Conceptualization and Operationalization of Rural School Districts. Urban Education, 60(6), 1530–1565. https://doi.org/10.1177/00420859241227929
32. Wood, R. M. (2023). A Review on Education differences in Urban and Rural Areas. International Research Journal of Educational Research, 14(2), 1–3. https://doi.org/10.14303/21415161.2023.254
33. Xie, F., Yang, Y., & Xiao, C. (2023). Gender-math stereotypes and mathematical performance: the role of attitude toward mathematics and math self-concept. European Journal of Psychology of Education, 38(2), 695–708. https://doi.org/10.1007/s10212-022-00631-y
34. Zahl-Thanem, A., & Blekesaune, A. (2025). Social origin and educational choices: A comparative study of rural and urban students’ school track choices in Norway. Acta Sociologica, 68(3), 389–408. https://doi.org/10.1177/00016993241305615
35. Zhilkina, L. N. (2009). Social-geographical features of education. Fundamental’nye issledovaniya – Fundamental Research, 5, 97–98.
Review
For citations:
Tuktamyshov N., Gorskaya T. Regional and Gender Factors in Mastering Subject Knowledge (Using Mathematics as an Example). Education and Self-Development. 2026;21(2):185-198. (In Russ.) https://doi.org/10.26907/esd.21.2.13. EDN: YZEQUW
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