Improving Mathematics Learning Outcomes in Systems of Linear Equations in Two Variables Using the Problem-Based Learning Model

Rahmat Rahmat; Ismail Djakaria; Novianita Achmad

doi:10.55657/rmns.v5i2.319

Improving Mathematics Learning Outcomes in Systems of Linear Equations in Two Variables Using the Problem-Based Learning Model

Authors

Rahmat Rahmat Department of Mathematics Education, Universitas Negeri Gorontalo, Bone Bolango 96554, Indonesia
Ismail Djakaria Department of Statistics, Universitas Negeri Gorontalo, Bone Bolango 96554, Indonesia
Novianita Achmad Department of Mathematics, Universitas Negeri Gorontalo, Bone Bolango 96554, Indonesia

DOI:

https://doi.org/10.55657/rmns.v5i2.319

Keywords:

Learning Outcomes, Problem-Based Learning, Systems of Linear Equations in Two Variables, Classroom Action Research

Abstract

This study aims to improve students' mathematics learning outcomes on Systems of Linear Equations in Two Variables (SLETV) through the implementation of the Problem-Based Learning (PBL) model. This type of research is Classroom Action Research (CAR) conducted at SMP Negeri 1 Suwawa during the even semester of the 2024/2025 academic year, with 31 eighth-grade students (class VIII-B) as subjects. The research took place in a single cycle consisting of four meetings (three learning process meetings and one final test meeting). The instruments used included Lesson Plans, Student Worksheets, observation sheets for teacher and student activities, and learning achievement tests. Observation results indicated that the percentage of teacher activity in the "good" and "very good" categories increased from 63.6% in Meeting 1 to 90.9% in Meeting 3, with an overall average of 75.7%. The percentage of student activity in the "good" and "very good" categories increased from 59.1% in Meeting 1 to 90.9% in Meeting 3, with an overall average of 77.2%. Learning test results showed that among the 25 students who took the evaluation, 19 students achieved mastery (76%), thereby meeting the established classical success indicator (>= 75%). Thus, the application of the PBL model is effective in improving students' mathematics learning outcomes on SLETV.

Downloads

Download data is not yet available.

References

Berikut adalah daftar referensi yang telah diketik kembali dengan rapi, menyambungkan pemutusan baris, serta merapikan format DOI dan judul:

[1] C. E. Hmelo-Silver, “Problem-based learning: What and how do students learn?” Educational Psychology Review, vol. 16, no. 3, pp. 235–266, 2004, doi: 10.1023/B:EDPR.0000034022.16470.f3.

[2] D. E. Allen, R. S. Donham, and S. A. Bernhardt, “Problem-based learning,” New Directions for Teaching and Learning, no. 128, pp. 21–29, 2011, doi: 10.1002/tl.465.

[3] A. Dorimana, A. Uworwabayeho, and G. Nizeyimana, “Enhancing upper secondary learners’ problem-solving abilities using problem-based learning in mathematics,” International Journal of Learning, Teaching and Educational Research, vol. 21, no. 8, pp. 235–252, 2022, doi: 10.26803/ijlter.21.8.14.

[4] F. Dochy, M. Segers, P. V. den Bossche, and D. Gijbels, “Effects of problem-based learning: A meta-analysis,” Learning and Instruction, vol. 13, no. 5, pp. 533–568, 2003, doi: 10.1016/S0959-4752(02)00025-7.

[5] Hidayati, Z. Abidin, and B. I. Ansari, “Improving students’ mathematical communication skills and learning interest through problem based learning model,” Journal of Physics: Conference Series, vol. 1460, no. 1, 2020, doi: 10.1088/1742-6596/1460/1/012047.

[6] S. Zamir, Z. Yang, H. Wenwu, and U. Sarwar, “Assessing the attitude and problem-based learning in mathematics through PLS-SEM modeling,” PLoS ONE, vol. 17, no. 5, 2022, doi: 10.1371/journal.pone.0266363.

[7] W. Malmia et al., “Problem-based learning as an effort to improve student learning outcomes,” International Journal of Scientific and Technology Research, vol. 8, no. 9, pp. 1140–1143, 2019.

[8] E. Báró, “The effect of problem-based learning on students’ learning outcomes,” Annales Mathematicae et Informaticae, vol. 60, pp. 178–189, 2024, doi: 10.33039/ami.2024.04.002.

[9] Masriah, S. Utaminingsih, and S. Utomo, “The influence of problem based learning model on mathematics learning outcomes in elementary school students,” AIP Conference Proceedings, vol. 2733, no. 1, 2023, doi: 10.1063/5.0140515.

[10] H. Damayanti and Susiswo, “Applying problem based learning to improve students’ math problem-solving skills on system of linear equations with two variables,” AIP Conference Proceedings, vol. 3049, no. 1, 2024, doi: 10.1063/5.0194913.

[11] V. Mustafa, T. J. Zenku, E. Iseni, and S. Rexhepi, “Comparison of solving systems of linear equations with two variables with classic methods and application software,” International Electronic Journal of Mathematics Education, vol. 21, no. 1, 2026, doi: 10.29333/iejme/17836.

[12] A. R. Sakinah, C. Hiltrimartin, Y. Hartono, and Indaryanti, “High school students’ mathematical modeling skills in problem-based learning (PBL),” Journal of Physics: Conference Series, vol. 1480, no. 1, 2020, doi: 10.1088/1742-6596/1480/1/012041.

[13] A. S. Hidayat and D. Haryanto, “The application of problem based learning model to improve mathematical cognitive skill and students engagement toward curved-face three-dimensional objects in IX grade of SMP Laboratorium Percontohan UPI,” Journal of Physics: Conference Series, vol. 1280, no. 4, 2019, doi: 10.1088/1742-6596/1280/4/042037.

[14] D. H. J. M. Dolmans, W. D. Grave, I. H. A. P. Wolfhagen, and C. P. M. V. D. Vleuten, “Problem-based learning: Future challenges for educational practice and research,” Medical Education, vol. 39, no. 7, pp. 732–741, 2005, doi: 10.1111/j.1365-2929.2005.02205.x.

[15] R. P. Lainata, I. W. Damai, and A. Pesik, “Development of two variable linear equation system learning development with a problem-based learning model,” Journal of Physics: Conference Series, vol. 1968, no. 1, 2021, doi: 10.1088/1742-6596/1968/1/012052.

[16] S. Selfiani, T. Machmud, R. Resmawan, and Y. Ismail, “Pengaruh model problem based learning terhadap kemampuan berpikir kreatif matematis siswa pada materi kubus dan balok,” RMNS, vol. 1, no. 2, 2022, doi: 10.55657/rmns.v1i2.66.

[17] S. Arikunto, Prosedur Penelitian Suatu Pendekatan Praktik. Jakarta: Rineka Cipta, 2021.

[18] S. Kemmis, R. McTaggart, and R. Nixon, The Action Research Planner: Doing Critical Participatory Action Research. Singapore: Springer, 2014, doi: 10.1007/978-981-4560-67-2.

[19] A. Sudijono, Pengantar Evaluasi Pendidikan. Jakarta: Rajawali Pers, 2018.

Downloads

Published

31-07-2026

How to Cite

[1]

R. Rahmat, I. Djakaria, and N. Achmad, “Improving Mathematics Learning Outcomes in Systems of Linear Equations in Two Variables Using the Problem-Based Learning Model”, Res. Math. Nat. Sci., vol. 5, no. 2, pp. 76–82, Jul. 2026.