Profil Pedagogical Content Knowledge (PCK) Guru Sekolah Dasar pada Konteks Masalah Pecahan

Mira Amelia Amri; Yurniwati; Apit Dulyapit; mahmud yunus

doi:10.37150/2tfnh947

Authors

Mira Amelia Amri Universitas Negeri Jakarta
Yurniwati Universitas Negeri Jakarta
Apit Dulyapit Universitas Negeri jakarta
mahmud yunus Universitas Negeri jakarta

DOI:

https://doi.org/10.37150/2tfnh947

Keywords:

Pedagogical Content Knowledge, Teacher, Numeracy, Fraction

Abstract

ABSTRACT: This study aims to describe the Pedagogical Content Knowledge (PCK) profile of five elementary school teachers (Master’s students in Primary Education with teaching experience, $N=5$) in analyzing contextual fraction numeracy problems. Employing a descriptive qualitative approach supported by illustrative quantitative analysis (collective case study), data were collected through case-based instruments (Vignette, CoRe, and PaP-eRs) and in-depth interviews. The findings indicate that the teachers' PCK is at a developing level (adequate), characterized by incomplete integration across dimensions. Specifically, Content Knowledge (CK) was strong in procedural aspects but weak in conceptual understanding. Knowledge of Students (KoS) could identify student errors, but the analysis of misconceptions' roots (diagnostic) remained descriptive. Instructional Strategies (KoIS) showed an initial use of visual contexts but lacked systematic planning for the transition from concrete to abstract. Knowledge of Curriculum (KoC) was the weakest aspect, with understanding tending to be administrative rather than integrative across numeracy topics. This study concludes that strengthening the teachers' PCK should focus on developing conceptual reflection and integrating PCK dimensions through case-based practices. Given the nature of this small case study, the results are not generalizable.

ABSTRAK: Penelitian ini bertujuan mendeskripsikan profil Pedagogical Content Knowledge (PCK) lima guru sekolah dasar (mahasiswa S2 Pendidikan Dasar dengan pengalaman mengajar, N=5) dalam menganalisis masalah numerasi pecahan kontekstual. Menggunakan pendekatan kualitatif deskriptif dengan dukungan kuantitatif ilustratif (studi kasus kolektif), data dikumpulkan melalui instrumen berbasis kasus (Vignette, CoRe, dan PaP-eRs) dan wawancara mendalam. Hasil penelitian menunjukkan bahwa PCK guru berada pada tingkat berkembang (cukup), ditandai oleh ketidakutuhan integrasi antar-dimensi. Secara rinci, Content Knowledge (CK) kuat pada aspek prosedural tetapi lemah pada pemahaman konseptual. Knowledge of Students (KoS) mampu mengidentifikasi kesalahan siswa, tetapi analisis akar miskonsepsi (diagnostik) masih bersifat deskriptif. Instructional Strategies (KoIS) mulai menggunakan konteks visual, namun belum sistematis dalam merancang transisi dari konkret ke abstrak. Knowledge of Curriculum (KoC) merupakan aspek terlemah, dengan pemahaman yang cenderung administratif dan belum integratif lintas topik numerasi. Penelitian ini menyimpulkan bahwa penguatan PCK guru perlu diarahkan pada pengembangan refleksi konseptual dan integrasi dimensi PCK melalui praktik berbasis kasus. Mengingat sifat studi kasus kecil ini, hasilnya tidak dapat digeneralisasi

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

Bruner, J. S. (1966). Toward a theory of instruction. Harvard University Press.

Creswell, J. W., & Poth, C. N. (2018). Qualitative inquiry and research design: Choosing among five approaches (4, Ed.). SAGE Publications.

Depaepe, F., Kunter, M., & Clarke, D. (2023). Revisiting pedagogical content knowledge: Contemporary perspectives in mathematics education. Educational Studies in Mathematics, 112(2), 175–198. https://doi.org/10.1007/s10649-022-10183-4

Depaepe, F., Verschaffel, L., & Kelchtermans, G. (2013). Pedagogical content knowledge: A systematic review of the research domain. Teaching and Teacher Education, 34, 12–25. https://doi.org/10.1016/j.tate.2013.03.001

Hill, H. C., Ball, D. L., & Schilling, S. G. (2008a). Unpacking Pedagogical Content Knowledge: Conceptualizing and Measuring Teachers’ Topic-Specific Knowledge of Students. In Journal for Research in Mathematics Education (Vol. 39, Issue 4). www.nctm.org.

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

Lamon, S. J. (2012). Teaching fractions and ratios for understanding: Essential content knowledge and instructional strategies for teachers (3, Ed.). Routledge.

Loewenberg Ball, D., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? In Journal of Teacher Education (Vol. 59, Issue 5, pp. 389–407). SAGE Publications Inc. https://doi.org/10.1177/0022487108324554

Maher, C. A., Sigley, R., & Liss, M. (2021). Teachers’ reasoning and reflective thinking in mathematics education. Springer.

Merriam, S. B., & Tisdell, E. J. (2016). Qualitative research: A guide to design and implementation (4, Ed.). Jossey-Bass.

Miles, M. B., Huberman, A. M., & Saldaña, J. (2014). Qualitative data analysis: A methods sourcebook (3, Ed.). SAGE Publications.

Mullis, I. V. S., Martin, M. O., & Foy, P. (2020). TIMSS 2019 international results in mathematics and science. TIMSS & PIRLS International Study Center, Boston College.

Ndalichako, J. L., & Mtitu, E. A. (2022). Understanding pupils’ misconceptions in addition and subtraction of fractions: A case of primary schools in Tanzania. African Educational Research Journal, 10(1), 23–34. https://doi.org/10.30918/AERJ.101.21.069

OECD Economic Outlook, Volume 2023 Issue 1 (Vol. 2023). (2023). OECD Publishing. https://doi.org/10.1787/ce188438-en

(OECD), O. for E. C. and D. (2021). OECD skills outlook 2021: Learning for life. OECD Publishing. https://doi.org/10.1787/0ae365b4-en

(OECD), O. for E. C. and D. (2023). PISA 2022 results (Volume I): The state of learning and equity in education. OECD Publishing. https://doi.org/10.1787/79913c69-en

Pantziara, M., & Philippou, G. (2012). Levels of students’ “conception” of fractions. Educational Studies in Mathematics, 79(1), 27–47. https://doi.org/10.1007/s10649-011-9338-x

Piaget, J. (1972). The psychology of the child. Basic Books.

Shulman, L. S. (1986). Knowledge Growth in Teaching. Educational Researcher, 15(2), 4–14. https://doi.org/10.2307/1175860

Sulistyo, E. T., Prasetyo, Z. K., & Aminah, N. (2022). The analysis of pre-service teachers’ PCK in numeracy: A case study. International Journal of Instruction, 15(3), 187–204. https://doi.org/10.29333/iji.2022.15311a