DESAIN PEMBELAJARAN MATERI MATRIKS DENGAN MODEL PEMBELAJARAN PROBLEM BASED LEARNING TERHADAP PEMAHAMAN KONSEP

Authors

  • Rubayyi Aulia Universitas Wiralodra
  • Farid Gunandi Universitas Wiralodra
  • Nandang Nandang Universitas Wiralodra
  • Nono Surono SMA Negeri 2 Indramayu

DOI:

https://doi.org/10.51878/science.v5i4.4788

Keywords:

desain pembelajaran, pembelajaran berbasis masalah, pemahaman konsep, matriks

Abstract

This research was motivated by students' difficulties in understanding the concept of matrices, leading to the development of a learning design aimed at improving this understanding. The focus of this research was the development of a learning design for matrices using the Problem-Based Learning (PBL) model. The research method adopted was the 4D development model, which includes four important stages. The Define stage was conducted through interviews with mathematics teachers to analyze learning needs. The Design stage focused on designing PBL-based learning modules and supporting tools. The Develop stage involved a series of tests, including a feasibility test by experts, a practical test in the classroom, and an effectiveness test through a post-test to measure conceptual understanding. The final stage, Disseminate, was conducted by publishing the module online. The results of the study indicated that the developed learning module was deemed feasible for use (Sig. <0.05). Furthermore, the module proved practical, supported by 88% of students and 100% of observers, and significantly effective in improving students' conceptual understanding (Sig. <0.05). In conclusion, these findings confirm that implementing PBL in matrix learning can be a solution to address student learning difficulties, enabling deeper and more meaningful understanding.

ABSTRAK
Penelitian ini dilatarbelakangi oleh kesulitan siswa dalam memahami konsep materi matriks, sehingga dikembangkan sebuah desain pembelajaran yang bertujuan meningkatkan pemahaman tersebut. Fokus penelitian ini adalah pengembangan desain pembelajaran materi matriks dengan menerapkan model Problem Based Learning (PBL). Metode penelitian yang diadaptasi adalah model pengembangan 4D, yang mencakup empat tahapan penting. Tahap Define dilaksanakan melalui wawancara dengan guru matematika untuk menganalisis kebutuhan pembelajaran. Tahap Design berfokus pada perancangan modul ajar dan perangkat pendukung berbasis PBL. Tahap Develop melibatkan serangkaian pengujian, meliputi uji kelayakan oleh para pakar, uji kepraktisan di kelas, serta uji efektivitas melalui post-test untuk mengukur pemahaman konsep. Tahap akhir, Disseminate, dilakukan dengan mempublikasikan modul secara daring. Hasil penelitian menunjukkan temuan utama bahwa modul ajar yang dikembangkan dinyatakan layak digunakan (Sig. < 0,05). Selain itu, modul terbukti praktis, didukung oleh 88% siswa dan 100% observer, serta efektif secara signifikan dalam meningkatkan pemahaman konsep siswa (Sig. < 0,05). Kesimpulannya, temuan ini mengkonfirmasi bahwa penerapan PBL dalam pembelajaran matriks dapat menjadi solusi untuk mengatasi kesulitan belajar siswa, memungkinkan pemahaman yang lebih mendalam dan bermakna.

References

Agustina, M., Muslimah, M., & Gofur, A. (2025). Mengembangkan Soft Skill Siswa Melalui Model Pembelajaran Problem Based Learning (PBL) Di SMKN 3 Palangka Raya. Learning Jurnal Inovasi Penelitian Pendidikan Dan Pembelajaran, 5(3), 1473. https://doi.org/10.51878/learning.v5i3.6516

Arends, R. I. (2015). Learning To Teach. Kimberly Meriwether David.

Astuthi, Y. (2025). Pengembangan E-Modul Berdiferensiasi Terintegrasi Kompetensi Sosial Emosional Untuk Meningkatkan Kemampuan Bernalar Kritis Dan Kemampuan Kolaboratif. Science Jurnal Inovasi Pendidikan Matematika Dan IPA, 4(4), 565. https://doi.org/10.51878/science.v4i4.4087

Basir, M. A. et al. (2022). How Students Use Cognitive Structures To Process Information In The Algebraic Reasoning? European Journal Of Educational Research, 11(2), 821–834. https://doi.org/10.12973/eu-jer.11.2.821

Bedregal-Alpaca, N. et al. (2020). Problem Based Learning With Information And Communications Technology Support: An Experience In The Teaching-Learning Of Matrix Algebra. International Journal Of Advanced Computer Science And Applications, 11(3), 125–130. https://doi.org/10.14569/ijacsa.2020.0110315

Boyi, M. A., & Rahayuningsih, S. (2025). Analisis Berpikir Kritis Siswa Dalam Mengerjakan Soal Turunan Fungsi Aljabar. Science Jurnal Inovasi Pendidikan Matematika Dan IPA, 5(3), 1266. https://doi.org/10.51878/science.v5i3.6672

Devyanti, M., & Andriani, A. E. (2025). Pengaruh Desain Pembelajaran Problem Based Learning Dan Project Based Learning Terhadap Hasil Belajar IPAS. Science Jurnal Inovasi Pendidikan Matematika Dan IPA, 5(3), 1276. https://doi.org/10.51878/science.v5i3.6674

Dina, A. S. (2025). Systematic Literature Review: Strategi Pembelajaran Terintegrasi Dengan STEAM (Science, Technology, Engineering, Art, Mathematics) Dan Tantangannya. Science Jurnal Inovasi Pendidikan Matematika Dan IPA, 5(2), 658. https://doi.org/10.51878/science.v5i2.5162

Fadhilah, N., & Yerimadesi, Y. (2025). Validitas Dan Praktikalitas E-Modul Interaktif Asam Basa Berbasis Guided Discovery Learning Untuk Fase F SMA. Science Jurnal Inovasi Pendidikan Matematika Dan IPA, 5(2), 918. https://doi.org/10.51878/science.v5i2.5712

Farrell, F., & Carr, M. (2019). The Effect Of Using A Project-Based Learning (PBL) Approach To Improve Engineering Students’ Understanding Of Statistics. Teaching Mathematics And Its Applications, 38(3), 135–145. https://doi.org/10.1093/teamat/hrz005

Fredriksen, H. (2021). Exploring Realistic Mathematics Education In A Flipped Classroom Context At The Tertiary Level. International Journal Of Science And Mathematics Education, 19(2), 377–396. https://doi.org/10.1007/s10763-020-10053-1

Gunawan, G. et al. (2020). Improving Students’ Problem-Solving Skills Using Inquiry Learning Model Combined With Advance Organizer. International Journal Of Instruction, 13(4), 427–442. https://doi.org/10.29333/iji.2020.13427a

Hasanah, U. et al. (2024). E-Modul Barisan Dan Deret Sebagai Sarana Peningkatan Kemampuan Berpikir Kritis Matematis. Science Jurnal Inovasi Pendidikan Matematika Dan IPA, 4(3), 182. https://doi.org/10.51878/science.v4i3.3128

Hulu, Y. et al. (2024). Pengaruh Kemampuan Literasi Matematika Terhadap Hasil Belajar Siswa SMA Swasta Santu Xaverius Gunungsitoli. Science Jurnal Inovasi Pendidikan Matematika Dan IPA, 4(4), 338. https://doi.org/10.51878/science.v4i4.3493

Johnson, J. M., & Khoshgoftaar, T. M. (2019). Survey On Deep Learning With Class Imbalance. Journal Of Big Data, 6(1). https://doi.org/10.1186/s40537-019-0192-5

Kazunga, C., & Bansilal, S. (2020). An APOS Analysis Of Solving Systems Of Equations Using The Inverse Matrix Method. Educational Studies In Mathematics, 103(3), 339–358. https://doi.org/10.1007/s10649-020-09935-6

Li, Q. et al. (2021). Relations Between Students’ Mathematics Anxiety And Motivation To Learn Mathematics: A Meta-Analysis. Educational Psychology Review, 33(3), 1017–1049. https://doi.org/10.1007/s10648-020-09589-z

Mardiah, A. et al. (2024). Pengembangan Modul Ajar Matematika Berbasis Problem Based Learning Pada Materi Rasio Untuk Memfasilitasi Kemampuan Pemecahan Masalah Matematis Fase D Kelas VII SMP. Jurnal Absis Jurnal Pendidikan Matematika Dan Matematika, 6(2), 922. https://doi.org/10.30606/absis.v6i2.2332

Marchelina, S., & Yerimadesi, Y. (2024). Validitas Dan Praktikalitas Modul Bentuk Molekul Berbasis Project Based Learning Terintegrasi Augmented Reality Untuk Fase F SMA. Science Jurnal Inovasi Pendidikan Matematika Dan IPA, 4(4), 410. https://doi.org/10.51878/science.v4i4.3429

Ngereja, B. et al. (2020). Does Project-Based Learning (PBL) Promote Student Learning? A Performance Evaluation. Education Sciences, 10(11), 1–15. https://doi.org/10.3390/educsci10110330

Noresti, I., & Silalahi, T. M. (2023). Penerapan Model Problem-Based Learning Untuk Meningkatkan Hasil Belajar Peserta Didik Pada Materi Matriks Di Kelas XI. Jurnal Penelitian, Pendidikan Dan Pengajaran: JPPP, 4(3), 200–208. https://doi.org/10.30596/jppp.v4i3.16415

Rehman, N. et al. (2024). Project-Based Learning As A Catalyst For 21st-Century Skills And Student Engagement In The Math Classroom. Heliyon, 10(23), e39988. https://doi.org/10.1016/j.heliyon.2024.e39988

Savery, J. (2006). Overview Of Problem-Based Learning: Definition And Distinction Interdisciplinary. Journal Problem-Based Learning, 1(1), 9–20. https://doi.org/10.7771/1541-5015.1002

Safira, R., & Iryani, I. (2025). Pengaruh Penggunaan E-Modul Larutan Penyangga Berbasis Masalah Terhadap Hasil Belajar Peserta Didik Fase F SMA. Science Jurnal Inovasi Pendidikan Matematika Dan IPA, 5(3), 1304. https://doi.org/10.51878/science.v5i3.6548

Sundari, R. D. et al. (2023). Pengembangan Perangkat Pembelajaran Berbasis Problem Based Learning (PBL) Pada Materi Matriks Untuk Meningkatkan Kemampuan Representasi Matematis Siswa Kelas XI IPA SMAN 1 Bukit Batu. Journal Of Research In Science And Mathematics Education (J-RSME), 2(1), 25–35. https://doi.org/10.56855/jrsme.v2i1.253

Trianto. (2024). Model Pembelajaran Terpadu: Konsep, Strategi, Dan Implementasinya Dalam Kurikulum Tingkat Satuan Pendidikan (KTSP). Bumi Aksara.

Downloads

Published

2025-11-17

How to Cite

Aulia, R., Gunandi, F., Nandang, N., & Surono, N. (2025). DESAIN PEMBELAJARAN MATERI MATRIKS DENGAN MODEL PEMBELAJARAN PROBLEM BASED LEARNING TERHADAP PEMAHAMAN KONSEP . SCIENCE : Jurnal Inovasi Pendidikan Matematika Dan IPA, 5(4), 1870-1881. https://doi.org/10.51878/science.v5i4.4788

Issue

Section

Articles

Most read articles by the same author(s)

Obs.: This plugin requires at least one statistics/report plugin to be enabled. If your statistics plugins provide more than one metric then please also select a main metric on the admin's site settings page and/or on the journal manager's settings pages.