Teacher beliefs about mathematics instruction and teaching practices in Croatian primary schools
Josipa Čuka 1 * ,
Maja Cindrić 1 * More Detail
1 Sveučilište u Zadru, Zadar, CROATIA
* Corresponding Author
EUR J SCI MATH ED, Volume 13, Issue 4, pp. 433-448.
https://doi.org/10.30935/scimath/17512
Published: 04 December 2025
OPEN ACCESS 8 Views 3 Downloads
ABSTRACT
This study explores the relationship between primary school teachers’ beliefs about mathematics instruction and their actual teaching practices in Croatian classrooms. Specifically, it examines whether teachers’ instructional approaches align with their beliefs, particularly in the context of traditional versus non-traditional pedagogical models. A total of 246 primary school teachers across Croatia participated in an online survey consisting of four sections: demographic data, beliefs about mathematics instruction, their teaching practices, and preferred teaching scenarios for selected mathematics topics. Beliefs and practices were classified using a five-level scale from traditional to non-traditional, based on Raymond’s (1997) framework. Quantitative data were analyzed using factor analysis, Spearman’s rank correlation, and Kruskal-Wallis tests. By categorizing teacher beliefs and teaching practices from traditional to non-traditional models, this study offers insight into the complexities of instructional implementation. Notably, it highlights that although teachers have non-traditional, student-centered beliefs and problem-based learning, their actual teaching is often grounded in traditional approaches–revealing a persistent belief-practice gap. The finding that more experienced teachers are more likely to adopt non-traditional practices challenges common assumptions and adds to our understanding of instructional change. Additionally, experienced teachers were more likely to implement non-traditional practices than their less experienced peers. External factors, such as class size and school location, adds depth to the belief-practice discourse by emphasizing that external factors can moderate instructional change. This research not only reinforces the significance of teacher cognition in educational reform but also underscores the need for targeted professional development and systemic support to bridge the belief-practice divide in mathematics teaching.
CITATION
Čuka, J., & Cindrić, M. (2025). Teacher beliefs about mathematics instruction and teaching practices in Croatian primary schools.
European Journal of Science and Mathematics Education, 13(4), 433-448.
https://doi.org/10.30935/scimath/17512
REFERENCES
- Abelson, R. P. (1979). The differences between belief and knowledge systems. Cognitive Science, 3(4), 355–366. https://doi.org/10.1016/S0364-0213(79)80013-0
- Angel-Cuervo, Z.-M., Briceño-Martínez, J.-J., & Bernal-Ballén, A. (2024). Validation of a questionnaire to evaluate mathematics teachers’ beliefs about mathematics, teaching, and learning. Eurasia Journal of Mathematics, Science and Technology Education, 20(5), Article em2435. https://doi.org/10.29333/ejmste/14447
- Archer, J. (1999) Teachers’ beliefs about successful teaching and learning in mathematics. Paper presented at the combined Annual Meeting of the Australian Association for Research in Education and the New Zealand Association for Research in Education, Melbourne, Australia. https://eric.ed.gov/?id=ED453077
- Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5), 389–407. https://doi.org/10.1177/0022487108324554
- Bandura, A. (1986). Social foundations of thought and action: A social cognitive theory. Prentice-Hall, Inc.
- Brown, C. A. (1986). The study of the socialization to teaching of a beginning secondary mathematics teacher [PhD thesis, University of Georgia].
- Buchmann, M., & Schwille, J. (1983). Education: The overcoming of experience. American Journal of Education, 92(1), 30–51. https://doi.org/10.1086/443721
- Calderhead, J. (1988). The contribution of field experiences to student primary teachers’ professional learning. Research in Education, 40(1), 33–49. https://doi.org/10.1177/003452378804000104
- Calderhead, J. (1996). Teachers: Beliefs and knowledge. In D. Berliner, & R. Calfee (Eds.), Handbook of educational psychology (pp. 709–725). Prentice Hall International.
- Calderhead, J., & Robson, M. (1991). Images of teaching: Student teachers’ early conceptions of classroom practice. Teaching and Teacher Education, 7(1), 1–8. https://doi.org/10.1016/0742-051X(91)90053-R
- Campbell, P. F., & Malkus, N. N. (2014). The mathematical knowledge and beliefs of elementary mathematics specialist-coaches. ZDM, 46(2), 213–222. https://doi.org/10.1007/s11858-013-0559-6
- Clark, C. M. (1988). Asking the right questions about teacher preparation: Contributions of research on teacher thinking. Educational Researcher, 17(2), 5–12. https://doi.org/10.3102/0013189X017002005
- Clark, C. M., & Peterson, P. L. (1986). Teachers’ thought processes. In M. C. Wittrock (Ed.), Handbook of research on teaching (pp. 255–296). Macmillan.
- Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Lawrence Erlbaum Associates.
- Dewey, J. (1933). How we think. D.C. Health and Co.
- Eisenhart, M., Shrum, J., Harding, J., & Cuthbert, A. (1988). Teacher beliefs: Definitions, findings, and directions. Educational Policy, 2, 51–70. https://doi.org/10.1177/0895904888002001004
- Ernst, P. (1989). The knowledge, beliefs and attitudes of the mathematics teacher: A model. Journal of Education for Teaching, 15(10), 13–33. https://doi.org/10.1080/0260747890150102
- Fazio, R. H. (1986). How do attitudes guide behavior? In R. M. Sorrentino, & E. T. Higgins (Eds.), The handbook of motivation and cognition: Foundations of social behavior (pp. 204–243). Guilford Press.
- Feiman-Nemser, S., & Remillard, J. (1996). Perspectives on learning to teach. In F. Murray (Ed.), The teacher educator’s handbook: Building a knowledge base for the preparation of teachers (pp. 63–91). Jossey-Bass.
- Fennema, E., & Franke, M. L. (1992). Teachers’ knowledge and its impact. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 147–164). Macmillan.
- Fishbein, M., & Ajzen, I. (1975). Belief, attitude, intention and behavior: An introduction to theory and research. Addison-Wesley.
- Furinghetti, F., & Pehkonen, E. (2002). Rethinking characterizations of beliefs. In G. Leder, E. Pehkonen, & G. Torner (Eds.), Beliefs: A hidden variable in mathematics education (pp. 39–57). Kluwer. https://doi.org/10.1007/0-306-47958-3_3
- Goodman, J. (1988). Constructing a practical philosophy of teaching: A study of preservice teachers’ professional perspectives. Teaching and Teacher Education, 4, 121–137. https://doi.org/10.1016/0742-051X(88)90013-3
- Haney, J. J., Czerniak, C. M., & Lumpe, A. T. (1996). Teacher beliefs and intentions regarding the implementation of science education reform strands. Journal of Research in Science Teaching, 33(9), 971–993. https://doi.org/10.1002/(SICI)1098-2736(199611)33:9<971::AID-TEA2>3.0.CO;2-S
- Hart, L. E. (1989). Describing the affective domain: Saying what we mean. In D. B. McLeod, & V. M. Adams (Eds.), Affect and mathematical problem solving: A new perspective (pp. 37–48). Springer. https://doi.org/10.1007/978-1-4612-3614-6_3
- Hoy, A. W., Davis, H., & Pape, S. J. (2006). Teacher knowledge and beliefs. In P. A. Alexander, & P. H. Winne (Eds.), Handbook of educational psychology (pp. 715–737). Lawrence Erlbaum Associates Publishers.
- Kagan, D. (1992). Implications of research on teacher belief. Educational Psychologist, 27(1), 65–90. https://doi.org/10.1207/s15326985ep2701_6
- Kaplan, R. (1991). Teacher beliefs and practices: A square peg in a square hole. In Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.
- Kasa, Y., Areaya, S., & Woldemichael, M. (2024). Mathematics teachers’ beliefs about mathematics, its teaching, and learning: The case of five teachers. Pedagogical Research, 9(2), Article em0191. https://doi.org/10.29333/pr/14172
- Leinhardt, G. (1990). Capturing craft knowledge in teaching. Educational Researcher, 19(2), 18–25. https://doi.org/10.3102/0013189X019002018
- Li, R., Cevikbas, M., & Kaiser, G. (2024). Mathematics teachers’ beliefs about their roles in teaching mathematics: Orchestrating scaffolding in cooperative learning. Educational Studies in Mathematics, 117, 357–377. https://doi.org/10.1007/s10649-024-10359-9
- Little, J. W. (2003). Inside teacher community: Representations of classroom practice. Teachers College Record, 105(6), 913–945. https://doi.org/10.1177/016146810310500601
- Metzger, S. A., & Wu, M.-J. (2008). Commercial teacher selection instruments: The validity of selecting teachers through beliefs, attitudes, and values. Review of Educational Research, 78(4), 921–940. https://doi.org/10.3102/0034654308323035
- Mišurac, I. Z., Cindrić, M., & Pejić, M. (2013). Readiness of primary teachers to apply contemporary math teaching. In Mathematics teaching for the future (pp. 282–297).
- Muhtarom, M., Juniati, D., & Siswono, T. Y. E. (2017). Consistency and inconsistency of prospective teachers’ beliefs in mathematics, teaching, learning and problem solving. AIP Conference Proceedings, 1868(1), Article 050014. https://doi.org/10.1063/1.4995141
- MZO. (2019). Republika Hrvatska Ministarstvo Znanosti i Obrazovanja [Republic of Croatia Ministry of Science and Education]. MZO. https://mzo.gov.hr/istaknute-teme/odgoj-i-obrazovanje/nacionalni-kurikulum/predmetni-kurikulumi/matematika/746
- Nespor, J. (1987). The role of beliefs in the practice of teaching. Journal of Curriculum Studies, 19(4), 317–328. https://doi.org/10.1080/0022027870190403
- Nisbett, R., & Ross, L. (1980). Human inference: Strategies and shortcomings of social judgment. Prentice Hall.
- Pajares, M. F. (1992). Teachers’ beliefs and educational research: Cleaning up a messy construct. Review of Educational Research, 62(3), 307–332. https://doi.org/10.3102/00346543062003307
- Philipp, A. (2007). Mathematics teachers’ beliefs and affect. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 257–315). National Council of Teachers of Mathematics.
- Pintrich, P. (1990). Implications of psychological research on student learning and college teaching for teacher education. In W. Houston (Ed.), Handbook of research on teacher education (pp. 826–857). Macmillan.
- Radišić, J., Buchholtz, N., Yang-Hansen, K., Liu, X., & Kaarstein, H. (2024). Do teachers’ beliefs about the nature and learning of mathematics affect students’ motivation and enjoyment of mathematics? Examining differences between boys and girls across six countries. European Journal of Psychology of Education, 39, 1587–1613. https://doi.org/10.1007/s10212-024-00809-6
- Raymond, A. M. (1997). Inconsistency between a beginning elementary school teacher’s mathematics belief’s and teaching practice. Journal for Research in Mathematics Education, 28(5), 550–576. https://doi.org/10.5951/jresematheduc.28.5.0550
- Richardson, V. (1996). The role of attitudes and beliefs in learning to teach. In J. Sikula (Ed.), Handbook of research on teacher education (pp. 102–119). Macmillan.
- Richardson, V., & Anders, P. L. (1994). A theory of change. In A. Lieberman (Ed.), Teacher change and the staff development process: A case in reading instruction (pp. 199–216). Taylor & Francis Ltd.
- Rokeach, M. (1968). Beliefs, attitudes and values: A theory of organization and change. Jossey-Bass.
- Shulman, L. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14. https://doi.org/10.3102/0013189X015002004
- Skott, J. (2015). Towards a participatory approach to ‘beliefs’ in mathematics education. In B. Pepin, & B. Roesken-Winter (Eds.), From beliefs to dynamic affect systems in mathematics education (pp. 3–23). Springer. https://doi.org/10.1007/978-3-319-06808-4_1
- Sun, D., & Zhang, Q. (2024). Evolution of teachers’ teaching beliefs about mathematics in a teacher education program. Behavioral Sciences, 14(10), Article 934. https://doi.org/10.3390/bs14100934
- Taylor, P. (1990). The influence of teacher beliefs on constructivist teaching practice [Paper presentation]. The Annual Meeting of the American Educational Research Association.
- Thompson, A. G. (1984). The relationship of teachers’ conceptions of mathematics and mathematics teaching to instructional practice. Educational Studies in Mathematics, 15, 105–127. https://doi.org/10.1007/BF00305892
- Tobin, K., & McRobbie, C. J. (1996). Cultural myths as constraints to the enacted science curriculum. Science Education, 80(2), 223–241. https://doi.org/10.1002/(SICI)1098-237X(199604)80:2<223::AID-SCE6>3.0.CO;2-I
- Turner, J. C., Christensen, A., & Meyer, D. K. (2009). Teachers’ beliefs about student learning and motivation. In L. J. Saha, & A. G. Dworkin (Eds.), International handbook of research on teachers and teaching (pp. 361–371). Springer. https://doi.org/10.1007/978-0-387-73317-3_23
- Wilkins, J. (2008). The relationship among elementary teachers’ content knowledge, attitudes, beliefs, and practices. Journal of Mathematics Teacher Education, 11, 139–164. https://doi.org/10.1007/s10857-007-9068-2