This study aims to determine how the application of the problem-based learning model affects the learning outcomes of class X students regarding the material on systems of linear inequalities in three variables. This research is a pre-experimental one-group pretest-posttest design, with class X research subjects at Al-Hidayah Islamic High School. The instrument used is a validated system of linear inequalities in a three-variable material understanding test. The analyses used in this study are descriptive and inferential. The study found a big improvement in learning results after using the problem-based learning (PBL) method for the System of Linear Inequalities in Three Variables material, with an average score of 46.0833 before the test and 75.6667 after. The significant value of the hypothesis test is below 0.05, which means 0.00 < 0.05; thus, H0 is rejected and H1 is accepted. This study shows a significant difference in student learning outcomes when using the Problem-Based Learning (PBL) learning model.
Downloads
- Al-Thani, N. J., & Ahmad, Z. (2025). The Scope of Problem-Based Learning and Integrated Research Education for Primary Learners. In Teaching and Learning with Research Cognitive Theory (pp. 25-43). Springer, Cham. https://doi.org/10.1007/978-3-031-87544-1_2
- Anggraeni, D. M., Prahani, B. K., Suprapto, N., Shofiyah, N., & Jatmiko, B. (2023). Systematic review of problem based learning research in fostering critical thinking skills. Thinking Skills and Creativity, 49, 101334. https://doi.org/10.1016/j.tsc.2023.101334
- Anugraheni, I., Gufron, A., & Purnomo, Y. W. (2025). The impact of realistic problem-based learning on mathematical connection abilities: evidence from elementary schools in Indonesia. Cogent Education, 12(1), 2523078. https://doi.org/10.1080/2331186X.2025.2523078
- Asanre, A. A., Sondlo, A., & Abiodun, T. O. (2024). Impact of problem-based learning strategy on learning outcomes of senior secondary school student in mathematics. Journal of Advanced Sciences and Mathematics Education, 4(1), 15-23. https://doi.org/10.58524/jasme.v4i1.370
- Ati, T. P., & Setiawan, Y. (2020). Efektivitas Problem Based Learning-Problem Solving Terhadap Kemampuan Berpikir Kritis dalam Pembelajaran Matematika Siswa Kelas V. Jurnal Cendekia : Jurnal Pendidikan Matematika, 4(1), 294–303. https://doi.org/10.31004/cendekia.v4i1.209
- Aydin, Y. (2014). The effects of problem based approach on student's conceptual understanding in a university mathematics classroom. Procedia-Social and Behavioral Sciences, 152, 704-707. https://doi.org/10.1016/j.sbspro.2014.09.307
- Boye, E. S., & Agyei, D. D. (2023). Effectiveness of problem-based learning strategy in improving teaching and learning of mathematics for pre-service teachers in Ghana. Social Sciences & Humanities Open, 7(1), 100453. https://doi.org/10.1016/j.ssaho.2023.100453
- Căprioară, D. (2015). Problem solving-purpose and means of learning mathematics in school. Procedia-social and behavioral sciences, 191, 1859-1864. https://doi.org/10.1016/j.sbspro.2015.04.332
- Christina, E. N., & Adirakasiwi, A. G. (2021). Analisis Kemampuan Pemecahan Masalah Tahapan Polya Dalam Menyelesaikan Persamaan Dan Pertidaksamaan Linear Satu Variabel. JPMI: Jurnal Pembelajaran Matematika Inovatif, 4(2), 405–424. https://doi.org/10.22460/jpmi.v4i2.405-424
- Dahl, B. (2018). What is the problem in problem-based learning in higher education mathematics. European Journal of Engineering Education, 43(1), 112-125. https://doi.org/10.1080/03043797.2017.1320354
- Dalila, A. A., Rahmah, S., Liliawati, W., & Kaniawati, I. (2022). The effect of differentiated learning in problem based learning on cognitive learning outcomes of high school students. Jurnal Penelitian Pendidikan IPA, 8(4), 1820-1826. https://doi.org/10.29303/jppipa.v8i4.1839
- Greer, C. W., & Erickson, K. A. (2019). Teaching students with significant cognitive disabilities to count: Routine for achieving early counting. Teaching Exceptional Children, 51(5), 382-389. https://doi.org/10.1177/0040059919836451
- Hendriana, H., Johanto, T., & Sumarmo, U. (2018). The Role of Problem-Based Learning to Improve Students' Mathematical Problem-Solving Ability and Self Confidence. Journal on Mathematics Education, 9(2), 291-300.
- Juniati, H., & Jamaan, E. Z. (2024). Problem-based learning in improving critical mathematical thinking skills: Independent curriculum teaching module. Al-Jabar: Jurnal Pendidikan Matematika, 15(2), 493-503. https://doi.org/10.24042/ajpm.v15i2.23788
- Laamena, C. M., Mataheru, W., & Hukom, F. F. (2021). Perbedaan Hasil Belajar Siswa Kelas Viii Smp Menggunakan Model Problem Based Learning (Pbl) Berbantuan Aplikasi Swishmax Dan Model Pembelajaran Konvensional Pada Materi Prisma Dan Limas. BAREKENG: Jurnal Ilmu Matematika Dan Terapan, 15(1), 029–036. https://doi.org/10.30598/barekengvol15iss1pp029-036
- Lutfiyah, L., & Sulisawati, D. N. (2019). Efektivitas pembelajaran matematika menggunakan media berbasis e-learning. Jurnal Pendidikan Matematika: Judika Education, 2(1), 58-65.
- Maass, K., Geiger, V., Ariza, M. R., & Goos, M. (2019). The role of mathematics in interdisciplinary STEM education. Zdm, 51(6), 869-884. https://doi.org/10.1007/s11858-019-01100-5
- Mangaroska, K., Sharma, K., Gašević, D., & Giannakos, M. (2022). Exploring students’ cognitive and affective states during problem solving through multimodal data: Lessons learned from a programming activity. Journal of Computer Assisted Learning, 38(1), 40–59. https://doi.org/10.1111/jcal.12590
- Muzaini, M., Hasbi, M., Ernawati, E., & Kristiawati, K. (2022). The Empowerment of Problem-Based Learning Models to Improve Students’ Quantitative Reasoning. Formatif: Jurnal Ilmiah Pendidikan MIPA, 12(1). http://dx.doi.org/10.30998/formatif.v12i1.8502
- Ogunsola, O. A., Adelana, O. P., & Adewale, K. A. (2021). Effect of problem-based learning approach on students’ academic performance in senior secondary mathematics. Journal of Science and Mathematics Letters, 9(2), 75-85.
- Rézio, S., Andrade, M. P., & Teodoro, M. F. (2022). Problem-based learning and applied mathematics. Mathematics, 10(16), 2862. https://doi.org/10.3390/math10162862
- Shishigu, A., Hailu, A., & Anibo, Z. (2017). Problem-based learning and conceptual understanding of college female students in physics. Eurasia Journal of Mathematics, Science and Technology Education, 14(1), 145-154. https://doi.org/10.12973/ejmste/78035
- Usman, P. M., Tintis, I., & Nihayah, E. F. K. (2022). Analisis Kemampuan Pemecahan Masalah Matematika Siswa dalam Menyelesaikan Sistem Persamaan Linear Tiga Variabel. Jurnal Basicedu, 6(1), 664-674. https://doi.org/10.31004/basicedu.v6i1.1990
- van Velzen, J. H. (2016). Evaluating the suitability of mathematical thinking problems for senior high-school students by including mathematical sense making and global planning. The curriculum journal, 27(3), 313-329. https://doi.org/10.1080/09585176.2016.1174140
- Wardani, I. S., & Fiorintina, E. (2023). Building Critical Thinking Skills of 21st Century Students through Problem Based Learning Model. JPI (Jurnal Pendidikan Indonesia), 12(3), 461-470. https://doi.org/10.23887/jpiundiksha.v12i3.58789
- Wilder, S. (2015). Impact of problem-based learning on academic achievement in high school: a systematic review. Educational Review, 67(4), 414-435. https://doi.org/10.1080/00131911.2014.974511
Copyright (c) 2025 Yolanda Pradinata Citra Dewi, Aswar Anas, Lutfiyah Lutfiyah

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Most read articles by the same author(s)
- Hoiriyah Hoiriyah, Aswar Anas, Dwi Noviani Sulisawati, Analysis of Junior High School Students' Mathematical Disposition Through Congklak Games in Working on Story Problems , ETDC: Indonesian Journal of Research and Educational Review : Vol. 4 No. 3 (2025): June
- Farida Isnaini, Eric Dwi Putra, Lutfiyah Lutfiyah, Reflective Abstraction of Students of Middle School with Disabilities in Solving Mathematical Problems , ETDC: Indonesian Journal of Research and Educational Review : Vol. 4 No. 3 (2025): June
- Siti Khotimatul Hidayah, Lutfiyah Lutfiyah, Marsidi Marsidi, Ethnomathematical Exploration of the Wiwitan Methik Pari Ritual Culture , ETDC: Indonesian Journal of Research and Educational Review : Vol. 4 No. 4 (2025): September
Similar Articles
- Hasfiana Hasfiana, Arifuddin Ahmad, Muh. Sabir Maidin, Wasathiyah Values in the Hadith and Their Implementation in Education , ETDC: Indonesian Journal of Research and Educational Review : Vol. 5 No. 1 (2025): December
- Shinta Wulandari, Arief Ertha Kusuma, Ridwan Ridwan, Suciati Suciati, Rusmansyah Rusmansyah, REACT Contextual Approach: Effective Numeracy Teaching for Future Mathematics Teachers , ETDC: Indonesian Journal of Research and Educational Review : Vol. 3 No. 3 (2024): June
- Andi Najamuddin, Mansur Mansur, Fatmawati Fatmawati, The Implementation of Moral Values in Islamic Learning: Overview The Teachings of the Khalwatiyah Samman Order , ETDC: Indonesian Journal of Research and Educational Review : Vol. 3 No. 4 (2024): September
- Hasan Basri, Utilization of Virtual Reality: Transforming Spiritual Experiences in Hajj Ritual Learning in High Schools and Tour Travel , ETDC: Indonesian Journal of Research and Educational Review : Vol. 5 No. 1 (2025): December
- Amiruddin Amiruddin, Syahrun Adzim, Anwar Sadat Malik, Nurhidayanti Badru, Interactional Feedback on English Proficiency: Grammatical Awareness , ETDC: Indonesian Journal of Research and Educational Review : Vol. 1 No. 3 (2022): June
- Samsuddin Samsuddin, The Urgency of Islamic Legal Education: Shaping the Character of Individuals with Ethics and Justice , ETDC: Indonesian Journal of Research and Educational Review : Vol. 3 No. 1 (2023): December
- Rostina Andi Suparman, Amra Ariyani, Nurul Asma, Improving Text Descriptive Writing Skills In Middle-School Students: Investigating Image Media , ETDC: Indonesian Journal of Research and Educational Review : Vol. 3 No. 1 (2023): December
- Erviana Nur Laili, Dwi Noviani Sulisawati, Nur Hidayatin, Ethnomathematics of Geometric Transformation in Knitting Mosaic Patterns with Terrazzo Motifs , ETDC: Indonesian Journal of Research and Educational Review : Vol. 4 No. 4 (2025): September
- Muh. Hikmah Wahyudi, Ahmad Ridha Jafar, Street Vendor Strategies for Increasing Income from a Sharia Economic Law Perspective , ETDC: Indonesian Journal of Research and Educational Review : Vol. 2 No. 1 (2022): December
- Rudhi Rudhi, Muhammad Sakti Tahir, Herianti Herianti, Logic and Faith in for Strengthening the Islamic Education Curriculum: An Analysis of the Thought of Classical Scholars , ETDC: Indonesian Journal of Research and Educational Review : Vol. 4 No. 4 (2025): September
<< < 29 30 31 32 33 34 35 36 37 38 > >>
You may also start an advanced similarity search for this article.


















