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ARTICLE
Fostering Mathematical Minds: A Problem-Based Approach to Conquering Linear Equations
Issue Vol. 1 No. 01 (2024): Volume 01 Issue 01 --- Section Articles
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Abstract
For many students, higher-level math feels like an insurmountable wall. We started this research to find a better way to teach one of those challenging topics: Systems of Linear Equations in Three Variables (SPLTV). Our goal was to develop learning materials that didn't just teach formulas, but actively nurtured students' own logical-mathematical intelligence. Using a four-stage development model (Define, Design, Develop, Disseminate), we created a complete learning package based on the Problem-Based Learning (PBL) model for Grade X vocational students. This package included everything from teaching modules and student worksheets to learning videos and tests. To see if it worked, we gathered feedback from experts, observed the materials in action, and measured student growth with pre- and post-tests. The results were incredibly positive. Experts gave the materials a strong "Valid" rating (with scores like 3.79 and 3.82 out of 4). In the classroom, the materials proved highly practical and easy to use. Most importantly, the students thrived. We saw an 84.6% class-wide learning completion rate, and a comparison with a control group showed a statistically significant improvement (p < 0.05) in their logical thinking skills. This study shows that with the right approach, we can move beyond rote memorization and create tools that empower students to think like true problem-solvers.
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References
1. Amelia, R., Chotimah, S., & Putri, D. (2021). Pengembangan Bahan Ajar Daring Pada Materi Geometri SMP dengan Pendekatan Project Based Learning Berbantuan Software Wingeom. Jurnal Pendidikan Matematika, 05(01), 759–769.
2. Arafah, R. A. D., Kurniati, D., Lestari, N. D. S., Pambudi, D. S., & Yuliati, N. (2023). Pengembangan Perangkat Pembelajaran Matematika Model Problem Based Learning (PBL) untuk Meningkatkan Analyticity Siswa pada Materi Aritmatika Sosial. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(3), 2700. https://doi.org/10.24127/ajpm.v12i3.7533
3. Bey, A., & Asriani. (2013). Penerapan Pembelajaran Problem Solving untuk Meningkatkan Aktivitas dan Hasil Belajar Matematika pada Materi SPLDV. Jurnal Pendidikan Matematika, 4(2), 224–239.
4. Hidayatulloh, D. A., Hidayanto, E., & Irawati, S. (2024). Kecerdasan Logis Matematis dalam Menyelesaikan Masalah Kontekstual. Aksioma, 13(4), 1126–1140. https://doi.org/10.24127/ajpm.v13i4.9058
5. Husna, A., Hanggara, Y., & Agustyaningrum, N. (2020). Proses Berpikir Mahasiswa dalam Menyelesaikan Masalah Matematika Ekonomi ditinjau dari Kecerdasan Logis Matematis. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(4), 1283–1292. https://doi.org/10.24127/ajpm.v9i4.3124
6. Indah, A., Susanto, S., Suwito, A., Sunardi, S., & Pambudi, D. S. (2023). Efektivitas Model Problem Based Learning Tutor Sebaya Berbantuan Card Problem terharap Hasil Belajar Matematika. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(1), 1119. https://doi.org/10.24127/ajpm.v12i1.6728
7. Islamiah, M. A. U., Lestari, N. D. S., Pambudi, D. S., Kurniati, D., & Kristiana, A. I. (2024). Pengembangan Perangkat Ajar Berbasis Masalah Untuk Meningkatkan Kemampuan Numerasi Siswa. Indiktika : Jurnal Inovasi Pendidikan Matematika, 7(1), 19–32. https://doi.org/10.31851/indiktika.v7i1.15244
8. Jayahartwan, M., & Sudirman. (2022). Penerapan Model Pembelajaran Problem Based Learning Untuk Meningkatkan Hasil Belajar. Jurnal Pendidikan Dan Profesi Keguruan, 1(2), 102–110.
9. Kurniati, D., Harimukti, R., & Jamil, N. A. (2016). Kemampuan berpikir tingkat tinggi siswa SMP di Kabupaten Jember dalam menyelesaikan soal berstandar PISA. Jurnal Penelitian Dan Evaluasi Pendidikan, 20(2), 142–155.
10. Leonard, & Linda, N. N. (2018). Pengaruh Kecerdasan Logis-Matematis dan Kecerdasan Musikal Terhadap Higher Order Thinking Skills (HOTS). KALAMATIKA Jurnal Pendidikan Matematika, 3(2), 193–208.
11. Lestariningrum, A., & Handini, M. C. (2017). Analisis Pengembangan Kecerdasan Logis Matematis Anak Usia 5-6 Tahun Menggunakan Permainan Tradisional. JPUD - Jurnal Pendidikan Usia Dini, 11(2), 215–225.
12. Mangelep, N. O. (2017). Pengembangan Perangkat Pembelajaran Matematika pada Pokok Bahasan Lingkaran menggunakan Pendekatan PMRI dan Aplikasi Geogebra. Mosharafa, 6(2), 193–200. http://e-mosharafa.org/
13. Maryani, L., Riyadi, R., & Kurniawan, S. B. (2025). Comparison of Problem-Based Learning Model with Direct Instruction in Mathematics Learning Towards the Development of Critical Thinking Skills. International Journal of Current Science Research and Review, 08(05). https://doi.org/10.47191/ijcsrr/V8-i5-13
14. Milsan, A. L., & Wewe, M. (2019). Hubungan Antara Kecerdasan Logis Matematis Dengan Hasil Belajar Matematika. Journal of Education Technology, 2(2), 65–69.
15. Safira, A., & Nasrudin, H. (2025). Development of Problem Solving-Based Student Worksheets to Improve Students’ Science Process Skills on Reaction Rate Material. International Journal of Current Science Research and Review, 08(06). https://doi.org/10.47191/ijcsrr/V8-i6-07
16. Santoso, T., & Utomo, D. P. (2020). Pengaruh Kecerdasan Matematis-Logis dan Kemandirian Belajar terhadap Hasil Belajar Matematika. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(2), 306–315. https://doi.org/10.24127/ajpm.v9i2.2722
17. Sumargo, B. (2020). Teknik Sampling (1st ed.). UNJ Press.
18. Wulandari, S. P., Sujadi, I., & Aryuna, D. R. (2016). Profil Pemecahan Masalah SPLDV dengan Langkah Polya Ditinjau dari Kecerdasan Logis Matematis Siswa. PRISMA, Prosiding Seminar Nasional Matematika, 1(1), 724–732.
19. Yulaikhah, D., Susanto, S., & Pambudi, D. S. (2025). The Effect of Problem-Based Learning Model Assisted by Star Tree Media on Learning Outcomes on The Material of Adding Numbers 1-10 Grade One Elementary School. International Journal of Current Science Research and Review, 08(06). https://doi.org/10.47191/ijcsrr/V8-i6-26
20. Yunizar, E. D., Susanto, S., Suwito, A., Pambudi, D. S., & Kristiani, A. I. (2025). The Development of Ethnomathematics-Based Learning Materials of Sulur Godong Batik Using Digital Manipulatives on Geometry Transformation to Improve Students Creative Thinking Abilities. International Journal of Current Science Research and Review, 08(06). https://doi.org/10.47191/ijcsrr/V8-i6-01
