The Influence of Collaborative Learning on Students' Misconceptions about Polynomials

Maifa Munsyaila Putri, Nizlel Huda, Syaiful Syaiful, Kamid Kamid

Abstract


Misconceptions in polynomial material pose a significant issue in mathematics education, hindering students’ conceptual understanding. This study aims to examine the effect of collaborative learning on students’ misconceptions regarding polynomials in Grade XI at SMA Negeri 14 Kota Jambi. The research employed a quasi-experimental nonequivalent control-group design involving 57 students: 28 in the experimental group and 29 in the control group. The research instrument was a diagnostic test in the form of essay items, validated by subject matter experts, and administered as both a pretest and a posttest to measure misconceptions in polynomial operations, polynomial division, and the factors and roots of polynomial equations. Data were analyzed using descriptive statistics, gain scores, and an independent sample t-test. The results indicated that collaborative learning was highly effective in reducing student misconceptions. The experimental group showed a 42.3% reduction in misconception scores (from 71.29 to 41.14), while the control group experienced only a 12.2% decrease (from 70.93 to 62.24). Hypothesis testing revealed a highly significant difference (p < 0.001) with a very large effect size (Cohen’s d = 8.848). All students in the experimental group reached the low misconception category, whereas all students in the control group remained in the moderate category. Therefore, collaborative learning was proven to be more effective than conventional instruction in addressing students’ misconceptions


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Abdullah, A. H., Julius, E., Mokhtar, M., & Abd Rahman, S. N. S. (2018). Using Cooperative Learning to Overcome Students’ Misconceptions about Fractions. NeuroQuantology, 16(11). https://doi.org/10.14704/nq.2018.16.11.1699

Ernawati, E., Farida, F., & Anggoro, B. S. (2019). Analisis Miskonsepsi Matematis: Dampak Strategi Pembelajaran Predict Discuss Explain Observe Discuss Explain. Desimal: Jurnal Matematika, 2(3), 259–269. https://doi.org/https://doi.org/10.24042/djm.v2i3.4862

Fatmanissa, N., Siswono, E., Yuli, T., & Lukito, A. (2024). Utilizing Decision-making Task: Students’ Mathematical Justification in Collaborative Problem Solving. Avances de Investigación En Educación Matemática, 26.

Firmansyah, F. F., Yudianto, E., Febriyanto, E. Y., Sulihah, N. T., & Budianto, T. R. (2025). Proses Metakognisi dalam Interaksi Siswa pada Diskusi Kelompok. Jurnal Cendekia: Jurnal Pendidikan Matematika, 9(2). https://doi.org/https://doi.org/10.31004/cendekia.v9i2.3964

Fitriani, F., & Maemonah, M. (2022). Perkembangan Teori Vygotsky Dan Implikasi Dalam Pembelajaran Matematika Di Mis Rajadesa Ciamis. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 11(1), 35. https://doi.org/10.33578/jpfkip.v11i1.8398

Fraenkel, J., Wallen, N., & Hyun, H. (1993). How to Design and Evaluate Research in Education 10th ed. McGraw-Hill Education.

Husain, R. (2020). Penerapan Model Kolaboratif Dalam Pembelajaran Di Sekolah Dasar. E-Prosiding Pascasarjana Universitas Negeri Gorontalo, 1(2012), 12–21.

Mujib, A. (2017). Identifikasi miskonsepsi mahasiswa menggunakan CRI pada mata kuliah kalkulus II. Mosharafa: Jurnal Pendidikan Matematika, 6(2), 181–192.

Murni, A. (2019). Metakognisi Dalam Pembelajaran Matematika. Jurnal Prinsip Pendidikan Matematika, 1(2), 1–14. https://doi.org/10.33578/prinsip.v1i2.23

Nesher, P. (1987). Towards an instructional theory: The role of student’s misconceptions. For the Learning of Mathematics, 7(3), 33–40.

Novianto, A., Fitriani, N., Deniswa, A. S., Izzati, M. H., Firdaus, F., Ningrum, N., & Dewi, R. C. (2024). Analisis Kesulitan Belajar Matematika dalam Penerapan Kurikulum Merdeka di Sekolah Dasar. Jurnal Ilmiah Kependidikan, 12(2), 946–960. https://doi.org/10.20961/jkc.v12i2.88914

Nurhaswinda, N., Rahman, A., Mahdi, M., Zahara, J., & Isamadola, I. (2025). Peran Logika Matematika dalam Pemecahan Masalah Sehari-hari. Cahaya Pelita: Jurnal Pendidikan Dan Kebudayaan, 1(2), 56–60. https://jurnal.cahayapublikasi.com/index.php/cp/article/view/31/27

Oktafiani, I. S., Muhtarom, Y., & Ahdad, M. M. (2022). Pembelajaran Kolaboratif dalam Meningkatkan Kemampuan Belajar Matematika di Madrasah Aliyah Miftahul Jannah Selatbaru Kabupaten Bengkalis. Annual Conference on Islamic Early Childhood Education (ACIECE), 6, 227–234. https://conference.uin-suka.ac.id/index.php/aciece/article/view/916

Putri, J. H., Diva, D. F., Dalimunthe, N. F., Melani Prasiska, & Irani, A. R. (2024). Miskonsepsi dalam Pembelajaran Matematika : Sebuah Tinjauan Literatur terhadap Penelitian-Penelitian Terbaru. JagoMIPA: Jurnal Pendidikan Matematika Dan IPA, 4, 580–589. https://doi.org/https://doi.org/10.53299/jagomipa.v4i3.749

Rahayu, W. I., & Yuhana, Y. (2023). Miskonsepsi dalam Pelajaran Matematika Materi FPB dan KPK pada Siswa Kelas IV Sekolah Dasar. Pendas: Jurnal Ilmiah Pendidikan Dasar, 08, 5926–5936. https://journal.unpas.ac.id/index.php/pendas/article/view/11988

Rahmawati, S., Aini, L. N., Junaedi, I., & Kurniasih, A. W. (2025). Systematic Literature Review : Implementasi Pembelajaran Kolaboratif Terhadap Pemecahan. PRISMA, Prosiding Seminar Nasional Matematika. 8(5), 338–345. https://journal.unnes.ac.id/sju/index.php/prisma/

Sangaji, J., & Lukmana, D. A. (2023). Analisis kesalahan siswa dalam menyelesaikan masalah polinomial di SMP Negeri 10 Kota Ternate. Jurnal Ilmiah Wahana Pendidikan, 9(3), 265–280. https://doi.org/10.5281/zenodo.7625113

Shimizu, Y., & Kang, H. (2025). Research on classroom practice and students’ errors in mathematics education: a scoping review of recent developments for 2018-2023. ZDM – Mathematics Education, 57(4), 695–710. https://doi.org/10.1007/s11858-025-01704-0

Siregar, R. M. R., & Dewi, I. (2022). Peran Matematika dalam Kehidupan Sosial Masyarakat. Scaffolding: Jurnal Pendidikan Islam Dan Multikulturalisme, 4(3), 77–89. https://doi.org/https://doi.org/10.37680/scaffolding.v4i3.1888

Situmorang, D. Y. (2024). Efektivitas pembelajaran kolaboratif berbasis teknologi dalam meningkatkan hasil belajar siswa. Jurnal Teknologi Pendidikan, 3(1), 146-151. https://doi.org/10.56854/tp.v3i1.231

Sofiyah, K., Nasution, N. E., Amelia, A., & Hutagalung, L. A. (2025). Pengaruh Kesadaran Siswa Terhadap Pentingnya Matematika dalam Karir di Era Digital dan Ekonomi Berbasis Pengetahuan. Aliansi: Jurnal Hukum, Pendidikan Dan Sosial Humaniora, 2(1), 111–118. https://doi.org/https://doi.org/10.62383/aliansi.v2i1.673

Sugiyono, D. (2013). Metode Penelitian Pendidikan Pendekatan Kuantitatif, Kualitatif dan R&D. Alfabeta.

Sun, B. (2024). Examining Junior High School Students’ Collaborative Knowledge Building: Based on the Comparison of High-Low Performance Groups' Mathematical Problem-Solving. In Y. Cao (Ed.), Students’ Collaborative Problem Solving in Mathematics Classrooms: An Empirical Study (pp. 19–51). Springer Nature Singapore. https://doi.org/10.1007/978-981-99-7386-6_2

Wei, Y., Soderstrom, N. C., Meade, M. L., & Scott, B. G. (2024). Metacognition About Collaborative Learning: Students’ Beliefs Are Inconsistent with Their Learning Preferences. Behavioral Sciences, 14(11). https://doi.org/10.3390/bs14111104




DOI: http://dx.doi.org/10.24014/juring.v8i4.37566

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