Studi kasus kesulitan siswa dalam mengonstruksi model matematika pada materi SPLDV

Authors

  • Muhammad Ridha Program Program Studi Pendidikan Matematika, Fakultas Pendidikan Matematika dan Ilmu Pengetahuan Alam, Universitas Pendidikan Indonesia, Bandung, Indonesia https://orcid.org/0009-0008-4188-4419
  • Khairunnisa Program Studi Pendidikan Matematika, Fakultas Keguruan dan Ilmu Pendidikan, Universitas Syiah Kuala, Banda Aceh, Indonesia

DOI:

https://doi.org/10.30872/primatika.v15i1.5458

Keywords:

Kesulitan belajar, Matematisasi, Pemodelan matematika, SPLDV, Soal cerita

Abstract

Penelitian ini mengkaji secara mendalam kesulitan yang dialami siswa kelas IX dalam mengonstruksi model matematika untuk soal cerita pada materi Sistem Persamaan Linear Dua Variabel (SPLDV). Melalui pendekatan kualitatif dengan desain studi kasus, data dikumpulkan menggunakan tes tertulis dan wawancara mendalam terhadap partisipan yang dipilih secara purposive sampling. Temuan utama menunjukkan bahwa kesulitan fundamental siswa tidak terletak pada pemahaman literal teks, melainkan pada tahap matematisasi, yakni kegagalan mentransformasikan informasi naratif menjadi sistem persamaan yang valid. Analisis lebih lanjut mengidentifikasi tiga akar masalah: (1) hambatan epistemologis yang berkaitan dengan pemahaman sifat abstrak aljabar; (2) hambatan didaktis akibat dominasi pengajaran prosedural; dan (3) faktor psikologis seperti kecemasan terhadap matematika. Sebagai implikasi, penelitian ini merekomendasikan pergeseran paradigma pedagogis menuju pembelajaran kontekstual (CTL) yang berfokus pada pemodelan, integrasi teknologi sebagai jembatan kognitif, serta penguatan dukungan sistemik melalui asesmen berbasis proses dan pengembangan profesional guru yang berkelanjutan.

Downloads

Download data is not yet available.

References

Blanton, M., Brizuela, B. M., Stephens, A., Knuth, E., Isler, I., Gardiner, A. M., Stroud, R., Fonger, N. L., & Stylianou, D. (2018). Implementing a Framework for Early Algebra. In C. Kieran (Ed.), Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds (pp. 27–49). Springer International Publishing. https://doi.org/10.1007/978-3-319-68351-5_2

Bouncken, R. B., Czakon, W., & Schmitt, F. (2025). Purposeful sampling and saturation in qualitative research methodologies: Recommendations and review. Review of Managerial Science. https://doi.org/10.1007/s11846-025-00881-2

Creswell, J. W., & Poth, C. N. (2018). Qualitative Inquiry and Research Design: Choosing Among Five Approaches (4th ed.). SAGE Publications.

Hussein, Y. F. (2022). Conceptual Knowledge and Its Importance in Teaching Mathematics. Middle Eastern Journal of Research in Education and Social Sciences, 3(1), 50–65. https://doi.org/10.47631/mejress.v3i1.445

Imamah, N., & Khofya Haqiqi, A. (2022). Efektivitas Penerapan Model Contextual Teaching and Learning terhadap Pemahaman Konsep Matematis pada Materi SPLDV. CIRCLE : Jurnal Pendidikan Matematika, 2(02), 100–112. https://doi.org/10.28918/circle.v2i02.5280

Inci, A. M., Peker, B., & Kucukgencay, N. (2023). Realistic Mathematics Education. In O. Cardak & S. A. Kiray (Eds.), Current Studies in Educational Disciplines 2023, 66-83. ISRES Publishing.

Jupri, A., & Drijvers, P. (2016). Student Difficulties in Mathematizing Word Problems in Algebra. EURASIA Journal of Mathematics, Science and Technology Education, 12(9). https://doi.org/10.12973/eurasia.2016.1299a

Moss, D. L., Boyce, S., & Lamberg, T. (2019). Representations and Conceptions of Variables in Students’ Early Understandings of Functions. International Electronic Journal of Mathematics Education, 15(2). https://doi.org/10.29333/iejme/6257

National Governors Association Center for Best Practices & Council of Chief State School Officers. (2010). Common Core State Standards for Mathematics.

NCTM. (2018). Catalyzing Change in High School Mathematics: Initiating Critical Conversations. Reston, VA: NCTM

OECD. (2023). PISA 2022 Assessment and Analytical Framework. OECD. https://doi.org/10.1787/dfe0bf9c-en

Rohmani, D., Rosmaiyadi, R., & Husna, N. (2020). Analisis Kemampuan Pemecahan Masalah Matematis Ditinjau dari Gaya Kognitif Siswa pada Materi Pythagoras. Variabel, 3(2), 90–102. https://dx.doi.org/10.26737/var.v3i2.2401

Sakellariou, C. (2022). The reciprocal relationship between mathematics self-efficacy and mathematics performance in US high school students: Instrumental variables estimates and gender differences. Frontiers in Psychology, 13, 941253. https://doi.org/10.3389/fpsyg.2022.941253

Schoenfeld, A. H. (2016). Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint). Journal of Education, 196(2), 1–38. https://doi.org/10.1177/002205741619600202

Sopanda, L., Sari, S. K. N., & Mardiana, M. (2022). Integrasi Geogebra dan Problem-Based Learning dalam Meningkatkan Pemahaman Konsep Materi SPLDV. Juwara Jurnal Wawasan dan Aksara, 2(1), 25–36. https://doi.org/10.58740/juwara.v2i1.36

Utami, N. S., & Jupri, A. (2021). Students’ structure sense ability in solving quadratic equation problems. Journal of Physics: Conference Series, 1806(1), 012061. https://doi.org/10.1088/1742-6596/1806/1/012061

Wati, S., Fitriana, L., & Mardiyana. (2018). Students’ difficulties in solving linear equation problems. Journal of Physics: Conference Series, 983, 012137. https://doi.org/10.1088/1742-6596/983/1/012137

Downloads

Published

2025-12-05

How to Cite

Ridha, M., & Khairunnisa, K. (2025). Studi kasus kesulitan siswa dalam mengonstruksi model matematika pada materi SPLDV. Primatika : Jurnal Pendidikan Matematika, 14(2), 301–308. https://doi.org/10.30872/primatika.v15i1.5458

Issue

Section

Articles