Beyond the surface: a narrative inquiry into the transformation of prospective teachers' pedagogical content knowledge for early numeracy

Authors

  • Deane Umboh Universitas Negeri Manado, Tondano, Indonesia Author
  • Jeane Kalengkongan Universitas Negeri Manado, Tondano, Indonesia Author

DOI:

https://doi.org/10.33578/jpfkip.v15i3.641-652

Keywords:

early numeracy, narrative inquiry, pedagogical content knowledge, prospective teachers

Abstract

This study explores how prospective teachers' Pedagogical Content Knowledge (PCK) for early numeracy is articulated and reconstructed across different stages of teacher education. While prior research has examined PCK development, limited attention has been given to how prospective teachers at varying stages conceptualize and integrate numeracy knowledge within practice. Addressing this gap, the study aims to compare narrative representations of PCK among prospective teachers at early, intermediate, and final stages of their preparation. Adopting a qualitative narrative inquiry approach, data were collected from six participants through in-depth interviews and classroom observations within a single semester. Rather than tracking the same individuals over time, the study contrasts developmental perspectives across stages. Data were analyzed using thematic-narrative analysis to identify patterns in how PCK is understood and enacted.The findings reveal three interconnected trajectories: (1) From Abstraction to Awareness, reflecting a shift from procedural to more conceptual understandings of numeracy; (2) Awakening the Need for Concreteness, indicating increasing recognition of the role of representations and manipulatives; and (3) Pedagogical Integration in Action, illustrating emerging alignment between content knowledge and instructional strategies. These trajectories are synthesized into a meta-narrative that highlights the role of reflection, field experiences, and dialogic engagement in shaping PCK. The study contributes to the literature by offering a stage-based narrative perspective on PCK in early numeracy, providing insights for structuring teacher education programs. However, findings are limited to a small sample within a specific institutional context and should be interpreted accordingly. Implications highlight the importance of integrating reflective practice and field-based experiences to support prospective teachers' pedagogical development.

References

Afrillia, Y. M., & Purnomo, Y. W. (2025). Pre-service teachers' beliefs in mathematics: A systematic literature review 2020–2024. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 14(2), 134–148. https://doi.org/10.33578/jpfkip-v14i2.p134-148 DOI: https://doi.org/10.33578/jpfkip-v14i2.p134-148

Ahmed, A. T., & Shogbesan, Y. O. (2023). Exploring pedagogical content knowledge of teachers: A paradigm for measuring teachers' effectiveness. Pedagogi: Jurnal Ilmu Pendidikan, 23(1), 64–73. https://doi.org/10.24036/pedagogi.v23i1.1540 DOI: https://doi.org/10.24036/pedagogi.v23i1.1540

Alghifari, G. A., Ibrahim, F., & Parhan, M. (2023). Implementation of pedagogical competence through the humanist learning perspective of Ki Hadjar Dewantara. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 12(3), 680–688. https://doi.org/10.33578/jpfkip.v12i3.9685 DOI: https://doi.org/10.33578/jpfkip.v12i3.9685

Appova, A., & Taylor, C. E. (2020). Providing opportunities to develop prospective teachers' pedagogical content knowledge. The Mathematics Enthusiast, 17(2–3), 673–724. https://doi.org/10.54870/1551-3440.1501 DOI: https://doi.org/10.54870/1551-3440.1501

Banjo, B. O. (2019). An exploration into teachers' pedagogical content knowledge (PCK) for teaching quadratic function in Grade 10 [Master's thesis, University of South Africa]. UNISA Institutional Repository. http://hdl.handle.net/10500/26248

Bezuidenhout, H. S. (2022). Associations between early numeracy and mathematics-specific vocabulary. South African Journal of Childhood Education, 12(1), Article a1191. https://doi.org/10.4102/sajce.v12i1.1191 DOI: https://doi.org/10.4102/sajce.v12i1.1191

Caine, V., Estefan, A., & Clandinin, D. J. (2019). A return to methodological commitment: Reflections on narrative inquiry. In D. J. Clandinin (Ed.), Journeys in narrative inquiry (pp. 265–277). Routledge. https://doi.org/10.4324/9780429273896-16 DOI: https://doi.org/10.4324/9780429273896-16

Dewi, I. L. K., Zaenuri, Dwijanto, & Mulyono. (2021). Identification of mathematics prospective teachers' conceptual understanding in determining solutions of linear equation systems. European Journal of Educational Research, 10(3), 1157–1170. https://doi.org/10.12973/eu-jer.10.3.1157 DOI: https://doi.org/10.12973/eu-jer.10.3.1157

Forsler, A., Nilsson, P., & Walan, S. (2024). Collective pedagogical content knowledge for teaching sustainable development. International Journal of Science and Mathematics Education, 22(6), 1197–1214. https://doi.org/10.1007/s10763-023-10421-7 DOI: https://doi.org/10.1007/s10763-023-10421-7

Geraghty, E. (2021). Designing a professional development series for educators on the benefits of mathematical manipulatives for elementary students' understanding and mindset [Capstone project, Hamline University]. DigitalCommons@Hamline. https://digitalcommons.hamline.edu/hse_cp/691

Gultom, C. I., & Mampouw, H. L. (2019). Analisis pedagogical content knowledge guru dan calon guru pada pembelajaran matematika. Jurnal Cendekia: Jurnal Pendidikan Matematika, 3(1), 149–163. https://doi.org/10.31004/cendekia.v3i1.91 DOI: https://doi.org/10.31004/cendekia.v3i1.91

Korthagen, F. A. J. (2017). A foundation for effective teacher education: Teacher education pedagogy based on situated learning. In D. J. Clandinin & J. Husu (Eds.), The SAGE handbook of research on teacher education (Vol. 2, pp. 528–544). SAGE Publications. https://doi.org/10.4135/9781526402042.n30 DOI: https://doi.org/10.4135/9781526402042.n30

Kurudirek, A., Karim, B., Sarhang, D., & Tulqin, S. (2025). Math misconceptions: Mistakes, misunderstanding, and confusion. Educenter: Jurnal Ilmiah Pendidikan, 4(1), 16–25. https://doi.org/10.55904/educenter.v4i1.1322 DOI: https://doi.org/10.55904/educenter.v4i1.1322

Liu, Y., Peng, P., & Yan, X. (2025). Early numeracy and mathematics development: A longitudinal meta-analysis on the predictive nature of early numeracy. Journal of Educational Psychology, 117(6), 863–883. https://doi.org/10.1037/edu0000925 DOI: https://doi.org/10.1037/edu0000925

Nanda, A., & Rani, R. (2025). Exploring the proficiency of basic mathematical facts among primary mathematics teachers. Asian Journal for Mathematics Education, 4(1), 31–55. https://doi.org/10.1177/27527263241307975 DOI: https://doi.org/10.1177/27527263241307975

Ningsih, S. Y., Turmudi, & Juandi, D. (2020). Pedagogical content knowledge (PCK) profile of prospective teachers in mathematics learning. Journal of Physics: Conference Series, 1521(3), Article 032057. https://doi.org/10.1088/1742-6596/1521/3/032057 DOI: https://doi.org/10.1088/1742-6596/1521/3/032057

Özpınar, İ., & Arslan, S. (2022). Investigation of basic mathematical knowledge of preservice maths teachers: Procedural or conceptual? International Journal of Mathematical Education in Science and Technology, 53(8), 2115–2132. https://doi.org/10.1080/0020739X.2020.1867915 DOI: https://doi.org/10.1080/0020739X.2020.1867915

Scheffelaar, A., Janssen, M., & Luijkx, K. G. (2021). The story as a quality instrument: Developing an instrument for quality improvement based on narratives of older adults receiving long-term care. International Journal of Environmental Research and Public Health, 18(5), Article 2773. https://doi.org/10.3390/ijerph18052773 DOI: https://doi.org/10.3390/ijerph18052773

Schön, D. A. (2017). The reflective practitioner: How professionals think in action. Routledge. https://doi.org/10.4324/9781315237473 DOI: https://doi.org/10.4324/9781315237473

Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14. https://doi.org/10.3102/0013189X015002004 DOI: https://doi.org/10.3102/0013189X015002004

Sikhwari, M. G., & Feza, N. N. (2024). Manipulatives: Mediators of mathematics development for foundation phase learners. African Perspectives of Research in Teaching and Learning, 8(2), 63–78. http://hdl.handle.net/10386/4740 DOI: https://doi.org/10.70875/v8i2article6

Skagerlund, K., Östergren, R., Västfjäll, D., & Träff, U. (2019). How does mathematics anxiety impair mathematical abilities? Investigating the link between math anxiety, working memory, and number processing. PLOS ONE, 14(1), Article e0211283. https://doi.org/10.1371/journal.pone.0211283 DOI: https://doi.org/10.1371/journal.pone.0211283

Stovner, R. B., & Klette, K. (2022). Teacher feedback on procedural skills, conceptual understanding, and mathematical practices: A video study in lower secondary mathematics classrooms. Teaching and Teacher Education, 110, Article 103593. https://doi.org/10.1016/j.tate.2021.103593 DOI: https://doi.org/10.1016/j.tate.2021.103593

Tangkin, W. P. (2022). Analisis microteaching tahap pembukaan pada mahasiswa PGSD dalam mata kuliah PSAP Matematika SD. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 11(4), 1185–1193. https://doi.org/10.33578/jpfkip.v11i4.9091 DOI: https://doi.org/10.33578/jpfkip.v11i4.9091

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Published

2026-06-30

Issue

Section

Original research

How to Cite

Deane Umboh, & Jeane Kalengkongan. (2026). Beyond the surface: a narrative inquiry into the transformation of prospective teachers’ pedagogical content knowledge for early numeracy. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 15(3), 641-652. https://doi.org/10.33578/jpfkip.v15i3.641-652