Köy Okullarında Görev Yapan Sınıf Öğretmenlerinin Matematiksel Yetkinlik Algıları ve Mesleki İhtiyaçları

Öz

Matematiksel yetkin bireylerin yetiştirilmesi, matematik öğretiminde yetkin öğretmenlerle mümkündür. Bu bağlamda, öğretmenlerin matematiksel yetkinliği nasıl algıladıklarını ve buna yönelik ihtiyaçlarının neler olduğunu belirlemek önem taşımaktadır. Bu çalışmada, Türkiye’deki köy okullarında görev yapan sınıf öğretmenlerinin matematiksel yetkin bir öğrenciyi nasıl tanımladıkları ve bu öğrencileri yetiştirmek için matematik öğretimine yönelik mesleki ihtiyaçları incelenmiştir. Araştırmaya, mesleğinin ilk beş yılında olan ve farklı köy okullarında görev yapan 167 sınıf öğretmeni katılmıştır. Veriler, açık uçlu sorulardan oluşan bir anketle toplanmış ve içerik analizi ile Chi-square analizi kullanılarak incelenmiştir. Bulgular, öğretmenlerin matematiksel yetkinliği, alanyazındaki matematiksel yeterlilikler ile bu yeterlilikler için önkoşul olabilecek diğer nitelikler üzerinden tanımladıklarını göstermektedir. Ayrıca, öğretmenlerin mesleki ihtiyaçlarının, matematik öğretimine yönelik profesyonel yeterliklerin ötesinde, köy okulu bağlamına özgü farklı unsurları içeren diğer ihtiyaçlar üzerine yoğunlaştığı belirlenmiştir. Chi-square analizi, matematiksel yetkinlik tanımları ile mesleki ihtiyaçlar arasında anlamlı bir ilişki olduğunu ortaya koymaktadır. Bu öğretmenlerin köy okullarının koşullarından önemli ölçüde etkilendiği ve matematiksel yetkinlik çalışmalarında bağlamın mutlaka göz önüne alınması gerektiği sonucuna varılmıştır.

Anahtar Kelimeler

• Matematiksel yetkinlik
• sınıf öğretmenleri
• mesleki yetkinlik
• mesleki ihtiyaçlar
• köy okulları

Mathematical Competency Perceptions and Professional Needs of Primary School Teachers in Rural Schools

Öz

Developing mathematically competent individuals is achievable with competent teachers in teaching mathematics. In this context, understanding how teachers conceptualise mathematical competency and identifying their related professional needs is crucial. This study investigates how primary school teachers working in rural schools in Türkiye define a mathematically competent student and the professional needs they have regarding mathematics instruction to nurture such students. A total of 167 primary school teachers, within the first five years of their careers and working in different rural schools, participated in the study. Data were collected via an open-ended questionnaire and analyzed using content analysis and Chi-square analysis. Findings indicate that teachers define mathematical competency based on the mathematical competencies outlined in the literature as well as additional attributes that may serve as prerequisites for these competencies. Moreover, the teachers' professional needs extend beyond the professional competencies for mathematics instruction to include distinct needs specific to the rural school context. Chi-square analysis revealed a significant relationship between teachers' definitions of mathematical competency and their professional needs. These results suggest that these teachers are considerably influenced by the conditions of rural schools and underscore the necessity of considering context in efforts to develop mathematical competency.

Anahtar Kelimeler

• Mathematical competence
• novice teachers
• professional competence
• professional needs
• rural schools

Kaynakça

1. Bayrak, M., & Öztürk, M. K. (2024). Köy okullarındaki fiziki ve alt yapı yetersizliğinin eğitime yansıması ile ilgili öğretmen görüşleri. TURAN: Stratejik Araştırmalar Merkezi Dergisi, 16(64), 167–174. https://doi.org/10.15189/1308-8041
2. Blömeke, S., Gustafsson, J.-E., & Shavelson, R. J. (2015). Beyond dichotomies: Competence viewed as a continuum. Zeitschrift für Psychologie, 223(1), 3–13. https://doi.org/10.1027/2151-2604/a000194
3. Blömeke, S., Kaiser, G., König, J., & Jentsch, A. (2020). Profiles of mathematics teachers’ competence and their relation to instructional quality. ZDM Mathematics Education, 52, 329–342. https://doi.org/10.1007/s11858-020-01128-y
4. Buchholtz, N., Kaiser, G., & Schwarz, B. (2023). The evolution of research on mathematics teachers’ competencies, knowledge and skills. In A. Manizade, N. Buchholtz & K. Beswick (Eds.), The evolution of research on teaching mathematics: International perspectives in the digital era (pp. 55–90). Springer International Publishing.
5. Çelikdemir, K. (2020). Kırsal ve kentsel bölgelerdeki eğitsel farklılıklar. (TEDMEM) https:// ted mem.org/mem-notlari/degerlendirme/kirsal-kentsel-bolgelerdeki-egitsel-farkliliklar.
6. Çevikbas, M., König, J., & Rothland, M. (2024). Empirical research on teacher competence in mathematics lesson planning: recent developments. ZDM Mathematics Education, 56, 101–113. https://doi.org/10.1007/s11858-023-01487-2
7. Desoete, A., & De Craene, B. (2019). Metacognition and mathematics education: An overview. ZDM Mathematics Education, 51, 565–575. https://doi.org/10.1007/s11858-019-01060-w
8. Echazarra, A., & Radinger, T. (2019). Learning in rural schools: Insights from PISA, TALIS and the literature. OECD Education Working Papers, 196, OECD Publishing, https://doi.org/10.1787/8b1a5cb9-en

9. Eurydice. (2022). Teachers and education staff. https://eurydice.eacea.ec.europa.eu/national-education-systems/Türkiye/conditions-service-teachers-working-early-childhood-and-school
10. Geraniou, E., Jankvist, U. T., Elicer, R., Tamborg, A. L., & Misfeldt, M. (2024). Towards a definition of “mathematical digital competency for teaching”. ZDM–Mathematics Education, 56, 625–637. https://doi.org/10.1007/s11858-024-01585-9
11. Hall, J. N., & Ryan, K. E. (2011). Educational Accountability: A Qualitatively Driven Mixed-Methods Approach. Qualitative Inquiry, 17(1), 105–115. https://doi.org/10.1177/1077800410389761
12. Højgaard, T. (2025). Enhancing mathematical modelling competency through textbook design. American Journal of Education and Learning, 10(2), 95–116. https://doi.org/10.12973/ejmse.6.2.127
13. Højgaard, T., & Sølberg, J. (2023). Fostering competence: a narrative case study of developing a two-dimensional curriculum in Denmark. Journal of Curriculum Studies, 55(2), 223–250, https://doi.org/10.1080/00220272.2023.2196570
14. Huntly, H. (2008). Teachers’ work: Beginning teachers’ conceptions of competence. The Australian Educational Researcher, 35(1), 125–145. https://doi.org/10.1007/BF03216878
15. Jankvist, U. T., Geraniou, E., Pedersen, M. K., Bach, C. C., & Gregersen, R. M. (2022). Mathematical competencies in the digital era: An introduction. In U. T. Jankvist, & E. Geraniou (Eds.), Mathematics education in the digital era, (pp. 1–12). Springer.
16. Kaiser, G., & König, J. (2019). Competence measurement in (mathematics) teacher education and beyond: Implications for policy. Higher Education Policy, 32, 597–615. https://doi.org/10.1057/s41307-019-00139-z
17. Kaşkaya, A., Ünlü, İ., & Kılıç, M. F. (2025). Making meaning of rural teaching: A phenomenological study of teachers' daily life experiences. International Journal of Educational Development, 117, 103341. https://doi.org/10.1016/j.ijedudev.2025.103341
18. Kilpatrick, J. (2020). Competency frameworks in mathematics education. In S. Lerman (Ed.), Encyclopedia of mathematics education (pp. 110–113). Springer.
19. KODA. (2019). Öğretmen gözünden köy okulları ve köy öğrencileri; avantajlar, problemler ve çözüm önerileri (Rural schools and rural students from the teacher’s perspective; advantages, problems and solution suggestions). https://kodegisim.org/wp-content/uploads/2022/03/O%CC%88g%CC%86retmen-Go%CC%88zu%CC%88nden-Ko%CC%88y-Okullari-ve-Ko%CC%88y-O%CC%88g%CC%86rencileri.pdf
20. KODA. (2023). 2021-2022 faaliyet raporu (2021-2022 activity report). https://kodegisim.org/wp-content/uploads/2023/05/2021-2022-faaliyet-raporu.pdf
21. Kuckartz, U. (2019). Qualitative text analysis: a systematic approach. In: Kaiser G, Presmeg N (Eds.) Compendium for early career researchers in mathematics education (pp. 181–197). Springer International Publishing.
22. Lee, J., & Santagata, R. (2020). A longitudinal study of novice primary school teachers’ knowledge and quality of mathematics instruction. ZDM Mathematics Education,, 52(2), 295–309. https://doi.org/10.1007/s11858-019-01123-y
23. Manizade, A., Buchholtz, N., & Beswick K. (2023). The research on mathematics teaching and planning: Theoretical perspectives and implications of teachers’ pre-post classroom activities. In A. Manizade, N. Buchholtz & K. Beswick (Eds.), The evolution of research on teaching mathematics: International perspectives in the digital era (pp. 1–18). Springer International Publishing.
24. Niss, M. (2003). Mathematical competencies and the learning of mathematics: The Danish KOM project. In A. Gagatsis, & S. Papastavridis (Eds.), 3rd Mediterranean conference on mathematical education (pp. 115–124). Hellenic Mathematical Society and Cyprus Mathematical Society.
25. Niss, M. (2015). Mathematical competencies and PISA. In K. Stacey & R. Turner (Eds.), Assessing mathematical literacy: The PISA experience (pp. 35–56). Springer.
26. Niss, M., & Højgaard, T. (2011). Competencies and mathematical learning—Ideas and inspiration for the development of mathematics teaching and learning in Denmark. Roskilde University Press. English translation of Danish original (2002).
27. Niss, M., & Højgaard, T. (2019). Mathematical competencies revisited. Educational Studies in Mathematics, 102(1), 9–28. https://doi.org/10.1007/s10649-019-09903-9
28. Niss, M., & Jankvist, U. T. (2023). On the mathematical competencies framework and its potentials for connecting with other theoretical perspectives. In U.T. Jankvist & E. Geraniou (Eds.), Mathematical competencies in the digital era (pp. 15–38). Springer. https://doi.org/10.1007/978-3-031-10141-0_2
29. OECD. (2021). Delivering quality education in rural communities. In Delivering quality education and health care to all: Preparing regions for demographic change (pp. 55–86). OECD Publishing.
30. Philipp, R. A. (2007). Mathematics teachers’ beliefs and affect. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 257–315). Information Age Publishing.
31. Radisic, J. (2023). Student mathematics learning activities. In A. Manizade, N. Buchholtz & K. Beswick (Eds.), The evolution of research on teaching mathematics: International perspectives in the digital era (pp. 197–223). Springer International Publishing.
32. Rhinesmith, E., Anglum, J. C., Park, A., & Burrola, A. (2023). Recruiting and retaining teachers in rural schools: A systematic review of the literature. Peabody Journal of Education, 98(4), 347–363. https://doi.org/10.1080/0161956X.2023.2238491
33. Rocha, H., & Babo, A. (2024). Problem-solving and mathematical competence: A look to the relation during the study of linear programming. Thinking Skills and Creativity, 51, Article 101461. https://doi.org/10.1016/j.tsc.2023.101461
34. Şahin, A., Soylu, D., & Jafari, M. (2022). Professional development needs of teachers in rural schools. Iranian Journal of Educational Sociology, 7(1), 219-225. https://doi.org/10.61838/kman.ijes.7.1.22
35. Sancar, R., Atal, D., & Deryakulu, D. (2021). A new framework for teachers’ professional development. Teaching and Teacher Education, 101, 103305. https://doi.org/10.1016/j.tate.2021.103305
36. Santagata, R., & Yeh, C. (2016). The role of perception, interpretation, and decision making in the development of beginning teachers’ competence. ZDM Mathematics Education, 48(1), 153–165. https://doi.org/10.1007/s11858-015-0737-9
37. Stigler, J. W., & Miller, K. F. (2018). Expertise and expert performance in teaching. In K. A. Ericsson, R. R. Hoffman, A. Kozbelt, & A. M. Williams (Eds.), The Cambridge handbook of expertise and expert performance (2nd ed., pp. 431–452). Cambridge University Press. https://doi.org/10.1017/9781316480748.024
38. Weinert, F. E. (1999). Concepts of competence. OECD project definitions and selection of competencies: theoretical and conceptual foundations (DeSeCo). Neuchâtel.
39. Yang, X., & Kaiser, G. (2022). The impact of mathematics teachers’ professional competence on instructional quality and students’ mathematics learning outcomes. Current Opinion in Behavioral Sciences, 48, 101225.