Analisis Hambatan Epistemologi Siswa dalam Menyelesaikan Soal Pemecahan Masalah Matematis pada Materi Komposisi Fungsi

Authors

  • Nurul Fajri Ninsih Universitas Muhammadiyah Parepare
  • Nurul Afifah Universitas Muhammadiyah Parepare
  • Sriyanti Mustafa Universitas Muhammadiyah Parepare
  • Hadmal Hadmal Universitas Muhammadiyah Parepare
  • Munarti Abd Fattah SMAN 4 Parepare

DOI:

https://doi.org/10.24252/asma.v8i1.68052

Keywords:

epistemological obstacles, function composition, mathematical problem solving

Abstract

Mathematical problem-solving skills are an essential competency in mathematics education. However, students often struggle with contextual and non-routine problems due to limitations in applying their knowledge to different situations. This study aims to analyze the epistemological barriers students face in solving mathematical problems on the topic of function composition at SMAN 4 Parepare. This study employs a qualitative approach with a descriptive research design. The research subjects consisted of 31 students in Class XI Matinulu 5 at SMAN 4 Parepare, with three students selected as in-depth interview subjects based on test results and demonstrated problem-solving abilities. Data were collected through tests, observations, and interviews, then analyzed using the Miles and Huberman model, which includes data reduction, data presentation, and drawing conclusions. The results of the study indicate that epistemological barriers emerge at all stages of mathematical problem-solving, namely understanding the problem, modeling the problem, solving the problem, and evaluating the results. The barriers identified include conceptual, representational, procedural, and reflective barriers, with procedural barriers being the most dominant. The research findings also indicate that obstacles at one stage trigger the emergence of obstacles at the next stage, thereby forming a chain of interrelated obstacles. The novelty of this study lies in its analysis of epistemological obstacles based on the stages of mathematical problem-solving. The research findings are expected to serve as a foundation for designing more contextual learning experiences to minimize students’ epistemological obstacles.

Downloads

Download data is not yet available.

References

Dewanti, F., & Komala, E. (2023). Kemampuan pemahaman konsep matematika: kajian analisis hambatan epistimologi siswa SMP pada materi statistika. Wacana Akademika: Majalah Ilmiah Kependidikan, 7(1), 138–147. https://jurnal.ustjogja.ac.id/index.php/wacanaakademika/article/view/14275

Dewi, F. C., Mahani, P., & Wijayanti, D. (2021). Hambatan epistimologi siswa dalam materi persamaan eksponen. Jurnal Equation: Teori dan Penelitian Pendidikan Matematika, 4(1), 1-14. https://doi.org/10.29300/equation.v4i1.3770

Harahap, A. Y. A., Syasmita, I., Annisa, L., & Akbar, F. R. (2025). Matematika dalam perkembangan ilmu pengetahuan dan teknologi. Al-Irsyad: Jurnal Pendidikan dan Konseling, 15(1), 136–148. http://dx.doi.org/10.30829/al-irsyad.v15i1.24079

Indrawati, F. (2019). Hambatan dalam pembelajaran matematika, 62–69. https://doi.org/10.30998/simponi.v0i0.293

Indriyani, N., Putra, R. W. Y., & Andriani, S. (2025). Hambatan epistemologi siswa dalam menyelesaikan soal sistem persamaan linier tiga variabel. Pendas : Jurnal Ilmiah Guruan Dasar, 10(2), 1820–1832. https://journal.unpas.ac.id/index.php/pendas/article/view/25827

Ishak, S., Ninsih, N. F., Samad, I., Wibowo, A., & Wajdi, F. (2025). Analisis learning obstacle siswa dalam menyelesaikan soal computational thinking pada materi barisan dan deret. Jimat: Jurnal Ilmiah Matematika, 6(2), 821–842. https://doi.org/https://doi.org/10.63976/jimat.v6i2.1191

Koly, A., Leton, S. I., Gawa, M. G. M., Fernandez, A. J., Lakapu, M., & Dosinaeng, W. B. N. (2023). Analisis learning obstacle siswa dari aspek epistimologi pada pemecahan masalah matematis. Asimtot: Jurnal Kependidikan Matematika, 4(2), 153–166. https://doi.org/10.30822/asimtot.v4i2.2342

Lee, H. (2022). Pedagogical and epistemological challenges of pre-service science teachers teaching socioscientific issues. Asia-Pasific Science Educations, 8, 301–330. https://doi.org/10.1163/23641177-bja10050

Martensson, P., Kempe, U. R., & Hansson, H. (2024). Practicing variation theory beyond learning study. International Journal for Lesson & Learning Studies, 13(5), 49–60. https://doi.org/10.1108/IJLLS-01-2024-0012

Milyawati, L., Balkist, P. S., & Lukman, H. S. (2022). Pengembangan desain didaktis untuk mengatasi epistimology obtacle pada materi fungsi komposisi. De Fermat: Jurnal Pendidikan Matematika, 5(1), 10-17. https://doi.org/10.36277/defermat.v5i1.332

Muslim, R. I., Utomo, U., Wuryani, M. T., & Primadoni, A. B. (2025). Penerapan pembelajaran reflektif melalui jurnal belajar matematika untuk memperkuat keterkaitan antar langkah dalam pemecahan masalah. Lambda: Jurnal Ilmiah Pendidikan MIPA dan Aplikasinya, 5(2), 429–438. https://doi.org/10.58218/lambda.v5i2.1429

OECD. (2023). PISA 2022 Results (Volume I and II) - Country Notes: Indonesia.

Olteanu, C., & Jonsson, M. (2026). Visualisation as a didactical and reflective tool in preservice teachers ’ work with arithmetic word problems. International Journal for Lesson & Learning Studies, 15(5), 66–88. https://doi.org/10.1108/IJLLS-11-2025-0302

Parawansa, F. A., & Siswanto, R. D. (2021). Hambatan epistemologi siswa dalam menyelesaikan aritmatika sosial berdasarkan gaya belajar dan perbedaan gender. Jurnal Cendekia: Jurnal Pendidikan Matematika, 5(3), 2532–2547. https://doi.org/10.31004/cendekia.v5i3.784

Rahmi, L., & Yulianti, K. (2022). Learning obstacles yang dihadapi siswa dalam memahami topik relasi dan fungsi. Jurnal Pembelajaran Matematika Inovatif, 5(4), 929–940. https://doi.org/10.22460/jpmi.v5i4.10917

Safari, Y., & Nurhida, P. (2024). Pentingnya pemahaman konsep dasar matematika dalam pembelajaran matematika. Karimah Tauhid: Karya Ilmiah Mahasiswa Bertauhid, 3(9), 9817–9824. https://doi.org/10.30997/karimahtauhid.v3i9.14625

Sari, D. N. (2025). Analisis hambatan belajar dalam kemampuan representasi matematis siswa materi statistika SMA. (Skripsi, UIN Raden Intan Lampung). Repository UIN Raden Intan Lampung.

Siagian, M. D., Suryadi, D., Nurlaelah, E., & Prabawanto, S. (2022). Investigation of secondary students ’ epistemological obstacles in the inequality concept. Mathematics Teaching Research Journal, 14(4), 106–128. https://eric.ed.gov/?id=EJ1361657

Sidik, G. S., Suryadi, D., & Turmudi, T. (2021). Learning obstacle on addition and subtraction of primary school students : analysis of algebraic thinking. Hindawi: Eduactional Research International, Issue 1. https://doi.org/10.1155/2021/5935179

Strømskag, H. (2024). Complementary dimensions of the theory of didactic situations in mathematics and the theory of social interactionism : Synthesizing the Topaze effect and the funnel pattern. Journal of Mathematical Behavior, 76, 101194. https://doi.org/10.1016/j.jmathb.2024.101194

Ulfa, N., Jupri, A., & Turmudi, T. (2021). Analisis hambatan belajar pada materi pecahan. Research and Development Journal of Education, 7(2), 226–236. https://doi.org/http://dx.doi.org/10.30998/rdje.v7i2.8509

Vieira, I., Baelo, R., & Peres, P. (2026). Analysis of current didactic models in digital education: A systematic literature review. International Journal of Educational Research Open, 10, 100540. https://doi.org/10.1016/j.ijedro.2025.100540

Yolanita, C., & Ruswendi, A. (2024). Analisis kesulitan belajar matematika di sekolah dasar. Jurnal Pendidikan Dasar Flobamorata, 5(3), 464–470. https://doi.org/https://doi.org/10.51494/jpdf.v5i3.1464

Published

2026-05-30

How to Cite

Ninsih, N. F., Afifah, N., Mustafa, S., Hadmal, H., & Fattah, M. A. (2026). Analisis Hambatan Epistemologi Siswa dalam Menyelesaikan Soal Pemecahan Masalah Matematis pada Materi Komposisi Fungsi. Al Asma : Journal of Islamic Education, 8(1), 84–102. https://doi.org/10.24252/asma.v8i1.68052

Issue

Section

Artikel

Similar Articles

1 2 3 4 5 6 7 > >> 

You may also start an advanced similarity search for this article.