EXAMINING THE RELATIONSHIP AMONG BELIEFS, PEDAGOGICAL-MATHEMATICAL KNOWLEDGE, AND EARLY NUMERACY INSTRUCTION IN PRE-SERVICE TEACHERS: AN EXPLORATORY SEQUENTIAL MIXED-METHODS STUDY

Authors

DOI:

https://doi.org/10.22437/jiituj.v10i2.54107

Keywords:

Early Numeracy, Instructional Practice, Mixed-Methods Research, Pedagogical-Mathematical Knowledge, Teacher Beliefs

Abstract

Early numeracy provides a foundation for later mathematical learning, yet early instruction often falls short of developmental expectations. This exploratory sequential mixed-methods study examined how pre-service early childhood teachers' belief orientations and pedagogical-mathematical knowledge jointly relate to instructional practice in early numeracy. In Phase I, six pre-service teachers were purposively selected and studied through interviews, lesson-plan analysis, and teaching observation. Cross-case thematic analysis identified three dominant belief orientations, namely instrumentalist, Platonist, and problem-solving, together with hybrid profiles that revealed uneven links between symbolic and contextual approaches. In Phase II, 182 pre-service teachers from three public universities in East Java completed an expert-reviewed and empirically screened 90-item questionnaire measuring belief orientation, pedagogical-mathematical knowledge, and self-reported instructional practice. The integrated regression model explained 73.4% of the variance in instructional practice (R2 = 0.734, p < .001). Both belief orientation (β = 0.328, p < .001) and pedagogical-mathematical knowledge (β = 0.568, p < .001) significantly predicted practice, with pedagogical-mathematical knowledge emerging as the stronger predictor. The integrated findings suggest that beliefs shape pedagogical direction, whereas pedagogical-mathematical knowledge determines how effectively that direction can be enacted. The study contributes to the literature by showing that the belief-practice relationship in early numeracy is best understood as an enactment issue: beliefs orient teaching, but knowledge enables meaningful classroom implementation. The findings imply that teacher education should move beyond efforts to reshape beliefs alone and invest more systematically in topic-specific pedagogical knowledge of number concepts, representations, misconceptions, and scaffolding

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Author Biography

Sri Widayati, Universitas Negeri Surabaya

Prodi : PAUD

Lektor

References

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

Baroody, A. J., & Coslick, R. T. (1998). Fostering children's mathematical power: An investigative approach to K-8 mathematics instruction. Lawrence Erlbaum Associates.

Beswick, K. (2012). Teachers' beliefs about school mathematics and mathematicians' mathematics and their relationship to practice. Educational Studies in Mathematics, 79(1), 127-147. https://doi.org/10.1007/s10649-011-9333-2

Creswell, J. W., & Plano Clark, V. L. (2018). Designing and conducting mixed methods research (3rd ed.). SAGE Publications.

Dağlı, H., & Buldur, A. (2025). Exploring the relationship between preschool teachers' pedagogical content knowledge and their self-efficacy beliefs in mathematics education. Australasian Journal of Early Childhood. Advance online publication. https://doi.org/10.1177/18369391251403183

Elmalı, F., Kılıç, M., & Aksoy, H. S. (2025). Teaching mathematics in early childhood classrooms: From beginning to end. Participatory Educational Research, 12(5), 255-274. https://doi.org/10.17275/per.25.72.12.5

Ernest, P. (1989). The impact of beliefs on the teaching of mathematics. In P. Ernest (Ed.), Mathematics teaching: The state of the art (pp. 249-254). Falmer Press.

Field, A. (2018). Discovering statistics using IBM SPSS statistics (5th ed.). SAGE Publications.

Fives, H., & Gill, M. G. (Eds.). (2021). International Handbook of Research on Teachers' Beliefs. Routledge.

Fukaya, T., Fukuda, M., & Suzuki, M. (2024). Relationship between mathematical pedagogical content knowledge, beliefs, and motivation of elementary school teachers. Frontiers in Education, 8, Article 1276439. https://doi.org/10.3389/feduc.2023.1276439

Gelman, R., & Gallistel, C. R. (1978). The Child's Understanding of Number. Harvard University Press.

Grigaliūnienė, M., Lehtinen, E., Verschaffel, L., & Depaepe, F. (2025). Systematic review of research on pedagogical content knowledge in mathematics: Insights from a topic-specific approach. ZDM - Mathematics Education, 57, 777-794. https://doi.org/10.1007/s11858-025-01684-1

Hamukonda, P., & Luneta, K. (2023). Instructional Strategies used By Junior Primary Teachers in the Oshana Region of Namibia to Teach the Number Concept to Grade 1 Learners. SAGE Open, 13(2), Article 21582440231177006. https://doi.org/10.1177/21582440231177006

Hill, H. C., Ball, D. L., & Schilling, S. G. (2008). Unpacking pedagogical content knowledge: Conceptualizing and measuring teachers' topic-specific knowledge of students. Journal for Research in Mathematics Education, 39(4), 372-400.

Joaquim, A., Morais, A., Catarino, P., & Aires, A. P. (2025). Mathematical knowledge for teaching of future primary school teachers in numbers and operations: A systematic review. International Journal of Mathematical Education in Science and Technology. Advance online publication. https://doi.org/10.1080/0020739X.2025.2493957

Li, X., Maas, C., & Oppenzato, C. (2024). Investigating preschool teachers' pedagogical content knowledge of number comparison. Early Education and Development. Advance online publication. https://doi.org/10.1080/10409289.2024.2389362

Loewenberg Ball, D., & Forzani, F. M. (2011). The work of teaching and the challenge for teacher education. Journal of Teacher Education, 62(1), 17-30. https://doi.org/10.1177/0022487110383417

Orcan-Kacan, M., Dedeoglu-Aktug, N., & Alpaslan, M. M. (2023). Teachers' mathematics pedagogical content knowledge and quality of early mathematics instruction in Turkey. South African Journal of Education, 43(4), Article a2289. https://doi.org/10.15700/saje.v43n4a2289

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

Parviainen, P., Eklund, K., Koivula, M., Liinamaa, T., & Rutanen, N. (2024). Enhancing teachers' pedagogical awareness of teaching early mathematical skills: A mixed methods study of tailored professional development program. Early Education and Development. Advance online publication. https://doi.org/10.1080/10409289.2024.2336661

Satan, N., Aksakal, K., Bağdat, A., & Kayhan Altay, M. (2024). Preschool teachers' pedagogical content knowledge regarding the concept of numbers. Çukurova University Faculty of Education Journal, 53(2), 652-680. https://doi.org/10.14812/cuefd.1326946

Sella, F., Onuoha, C., Colbourne, S., & Watkin, H. (2021). The development of the cardinal knowledge of numbers. Child Development, 92(4), 1234-1250. https://doi.org/10.1111/cdev.13531

Shulman, L. S. (1987). Knowledge and teaching: Foundations of the new reform. Educational Researcher, 16(1), 1-22. https://doi.org/10.3102/0013189X016002004

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Published

2026-04-29

How to Cite

Widayati, S., Siswono, T. E. Y., Wiryanto, W., Mariana, neni, Wahyuni, M., & Ekawati, R. (2026). EXAMINING THE RELATIONSHIP AMONG BELIEFS, PEDAGOGICAL-MATHEMATICAL KNOWLEDGE, AND EARLY NUMERACY INSTRUCTION IN PRE-SERVICE TEACHERS: AN EXPLORATORY SEQUENTIAL MIXED-METHODS STUDY. Jurnal Ilmiah Ilmu Terapan Universitas Jambi, 10(2), 697–708. https://doi.org/10.22437/jiituj.v10i2.54107