The Impact of PBL-Based E-Learning on Critical Thinking and Mathematical Communication in Ethnomathematics-Based Pythagorean Learning

Main Article Content

Ayun Rahayu Lestariningsih
Rusijono Rusijono
Fajar Arianto

Abstract

The integration of Problem-Based Learning (PBL) and e-learning represents an instructional approach that has the potential to foster higher-order thinking by actively engaging students in structured problem-solving activities. This study examines the impact of combining e-learning with the PBL model and an ethnomathematics approach on eighth-grade students’ critical thinking and mathematical communication skills in learning the Pythagorean Theorem. A quasi-experimental design with a non-equivalent control group was implemented involving Grade 8 students at SMP Negeri 4 Madiun. Participants were divided into an experimental group, which received ethnomathematics-based PBL supported by e-learning, and a control group, which was taught using conventional instructional methods. Data were collected through pretests and posttests measuring critical thinking and mathematical communication skills, and the differences between groups were analyzed using inferential statistical techniques. The findings reveal that the integration of e-learning within an ethnomathematics-oriented PBL framework has a significant and positive effect on students’ critical thinking and mathematical communication skills, thereby demonstrating its effectiveness in promoting higher-order thinking in mathematics education.

Article Details

Section

Articles

How to Cite

The Impact of PBL-Based E-Learning on Critical Thinking and Mathematical Communication in Ethnomathematics-Based Pythagorean Learning. (2026). Educenter : Jurnal Ilmiah Pendidikan, 5(1), 51-61. https://doi.org/10.55904/bshnnb31

References

Abdillah, R., Susiswo, & Susanto, H. (2022). Komunikasi Matematis Siswa pada Materi Teorema Pythagoras ditinjau dari Gaya Belajar Siswa. Jurnal Cendekia: Jurnal Pendidikan Matematika, 7(1), 84–97.

Arani, S. M. N. (2025). Enhancing communication and reducing anxiety: The role of problem-based learning in EFL learners’ psychological development. Ampersand, 15(June), 100245. https://doi.org/10.1016/j.amper.2025.100245

Arifatunnisak, & Susilo, B. E. (2023). Systematic literature review: pembelajaran matematika berbasis e-learning untuk meningkatkan literasi matematis siswa Indonesia. Symmetry: Pasundan Journal of Research in Mathematics Learning and Education, 8(2), 213–229. https://doi.org/https://doi.org/10.23969/symmetry.v8i2.10552

Aulia, A., Serang, Y., Javanisa, I., Dayarana, A., & Silalahi, K. (2025). Does ChatGPT-enhanced collaborative learning foster critical thinking in education ? A Bloom ’ s Taxonomy perspective. Computers and Education Open, 9(November), 100316. https://doi.org/10.1016/j.caeo.2025.100316

Benítez-chavira, L. A., & Z, R. A. (2026). Impact of problem-based learning on the development of nursing care management skills is , PhD. 21, 70–75. https://doi.org/10.1016/j.teln.2025.08.001

Betu, F. S. (2023). Efektivitas Strategi Pembelajaran Inkuiri: Sebuah Tawaran dalam Desain Tujuan Pembelajaran Pendidikan Agama Katolik dan Budi Pekerti pada Capaian Pembelajaran Pribadi Peserta Didik Fase E. SAPA - Jurnal Kateketik Dan Pastoral, 8(1), 61–69. https://doi.org/10.53544/sapa.v8i1.406

Cao, C., Li, Y., Zhao, L., & Li, Y. (2025). New inequality in equality: An empirical study on the effects of device and physical environment appropriateness divide on E-learning outcomes. Technological Forecasting and Social Change, 219(June), 124256. https://doi.org/10.1016/j.techfore.2025.124256

Choifah, C., Suyitno, A., Pendidikan, E. P.-J. C. J., & 2022, undefined. (2022). Systematic Literature Review: Upaya Meningkatkan Kemampuan Berpikir Kreatif pada Pembelajaran Matematika. J-Cup.Org, 7(2).

Dayanti, R., Yanto, Y., & Luthfiana, M. (2024). Systematic Literature Review: Desain Lembar Kerja Siswa (LKS) Berbasis Problem Based Learning (PBL) Pada Materi Lingkaran. 3(1), 6–15. https://doi.org/https://doi.org/10.56916/jp.v3i1.855

de la Tribonnière, X., Favennec, P., Picot, M. C., Macioce, V., Aouinti, S., Clément, P., Pommier, M., & Nicon, L. (2025). Evaluation of a large-scale E-learning program on emotional regulation Tipi® for hospital workers and teachers in France during the COVID−19 pandemic. Preventive Medicine Reports, 58(6), 1–9. https://doi.org/10.1016/j.pmedr.2025.103208

Dehghanzadeh, S., & Moaddab, F. (2026). The effects of nursing care planning through concept mapping on nursing students’ critical thinking skills. International Journal of Africa Nursing Sciences, 24(December 2025), 1–8. https://doi.org/10.1016/j.ijans.2025.100945

Fianingrum, F., Pujiastuti, H., & Fathurrohman, M. (2023). Disposisi Berpikir Kritis Matematis dalam Pembelajaran Matematika: Systematic Literature Review. JIIP-Jurnal Ilmiah Ilmu Pendidikan, 6(1), 543–548. https://doi.org/https://doi.org/10.54371/jiip.v6i1.1341

Firdaus, A., Nisa, L. ., & Nadhifah, N. (2019). Kemampuan berpikir kritis siswa pada materi barisan dan deret berdasarkan gaya berpikir. Kreano, Jurnal Matematika Kreatif-Inovatif, 10(1), 68–77.

Gafur, A. (2024). Evaluasi Kemampuan Mahasiswa Pendidikan Jarak Jauh. Journal of Science and Social Research, 7(1), 78–86.

Halim, A. ., & Halim, N. Y. . (2024). Exploring the integration and impact of google sites in teaching and learning: a structured scoping review. 5(1), 110–124. https://doi.org/https://doi.org/10.55197/qjssh.v5iSI1.569

Hidayah Mohamed, N. A. (2025). Teaching pharmacology in China: challenges faced by students and lecturer in the new era. Journal of University Medical and Dental College, 16(4), 1198–1204. https://doi.org/10.37723/jumdc.v16i4.1022

Ibrahim, R. K., & Hendy, A. (2025). The role of digital mind maps in boosting creativity and critical thinking among nursing students : a quasi-experimental study. 000. https://doi.org/10.1016/j.teln.2025.10.026

Indriani, R. P., Sigit, D. V., & Miarsyah, M. (2023). Meta-analisis: Pengaruh media e-learning terhadap Keterampilan berpikir kritis dan kreatif. Cetta: Jurnal Ilmu Pendidikan, 6(1), 58–71. https://doi.org/10.37329/cetta.v6i1.1862

Islanda, E., & Darmawan, D. (2023). Pengembangan Google Sites sebagai media pembelajaran untuk meningkatkan prestasi belajar siswa. Jurnal Teknodik, 27(1), 51–62.

Koço˘glu, A., & Kanadli, S. (2025). The effect of problem-based learning approach on learning outcomes : A second-order meta-analysis study. Educational Research Review Journal, 48(May). https://doi.org/10.1016/j.edurev.2025.100690

Kurnia, T., Pujiastuti, H., & Fathurrohman, M. (2023). Kemampuan Pemecahan Masalah Matematis dengan Pendekatan Metakognitif: Systematic Literature Review. IIP-Jurnal Ilmiah Ilmu Pendidikan, 6(1), 616–622. https://doi.org/https://doi.org/10.54371/jiip.v6i1.1398

Lin, P., & Chang, Y. (2025). Nurse Education in Practice Short-term effects of team-based learning on self-directed learning , cooperative learning , and critical thinking among nursing students studying medical-surgical nursing. Nurse Education in Practice, 89(May), 104618. https://doi.org/10.1016/j.nepr.2025.104618

Liu, L., Yi, S., Li, X., Li, Y., & Zhang, Q. (2025). The impact of a novel debrie fi ng framework on nursing students ’ critical-thinking disposition : a quasi-experimental study. 000, 6–11. https://doi.org/10.1016/j.teln.2025.11.008

Marfu’ah, S., Zaenuri, Z., & Masrukan, M. (2022). Model Pembelajaran Matematika untuk Meningkatkan Kemampuan Penalaran Matematis Siswa. RISMA, Prosiding Seminar Nasional Matematik, 5(1), 50–54.

Maridi, M., Suciati, S., & Permata, B. M. (2019). Peningkatan Keterampilan Komunikasi Lisan dan Tulisan melalui Model Pembelajaran Problem Based Learning pada Siswa Kelas X SMA Improvement of Oral and Written Communication Skills through Problem Based Learning Model for High School Students. Jurnal Pendidikan Biologi, 12(2), 182–187. https://doi.org/10.20961/bioedukasi-uns.v

Meiliati, R., Mubarak, I., & Salido, A. (2026). Social Sciences & Humanities Open Exploration problem-based learning in mathematics learning in higher education : A bibliometric review. 13(November 2025).

Mursalin, Fonna, M., Muliana, Ali, M., Setiawan, & Armita, D. (2025). The Role of Teacher Communication in Mathematics Learning: A Literature Review. Electronic Journal of Education, Social Economics and Technology, 6(1), 66–75. https://doi.org/https://doi.org/10.33122/ejeset.v6i1.414

Nabilah, S., Pujiastuti, H., & Syamsuri. (2023). Systematic Literature Review : Literasi Numerasi dalam pembelajaran Matematika, Jenjang, Materi, Model dan Media Pembelajaran. IIP-Jurnal Ilmiah Ilmu Pendidikan, 6(4). https://doi.org/https://doi.org/10.54371/jiip.v6i4.1448

Ningsih, A. K., Kariadinata, R., & Nuraida, I. (2021). Peningkatan kemampuan komunikasi matematis siswa dengan pembelajaran berbasis etnomatematika. Lentera: Jurnal Ilmiah Kependidikan, 16(1), 20–35.

Nisa’, F. Z., & Rayungsari, M. (2024). Efektivitas Model Pembelajaran Matematika di Sekolah Menengah Atas. Polinomial: Jurnal Pendidikan Matematika, 3(2), 99–106. https://doi.org/https://doi.org/10.56916/jp.v3i2.892

Ovtšarenko, O. (2025). Innovative techniques for e-learning log data processing: Trends and methods. Journal of Innovation and Knowledge, 10(5). https://doi.org/10.1016/j.jik.2025.100765

Pratidina, D. A., & Novaliyosi, N. (2024). Penggunaan Bahan Ajar atau Media terhadap Kemampuan Literasi Numerasi Siswa : Systematic Literature Review. Jurnal Cendekia : Jurnal Pendidikan Matematika, 8(1), 879–889. https://doi.org/10.31004/cendekia.v8i1.2502

Primasari, R. . (2024). Development of E-learning to Improve Mathematical Problem Solving. Jurnal Riset Pendidikan Matematika Jakarta, 6(1), 45–62. https://doi.org/https://doi.org/10.21009/jrpmj.v6i1.43824

Putri, N. N. Y. C., & Wiarta, I. W. (2024). E-Book Interaktif Berbasis Problem Based Learning untuk Pembelajaran IPAS di Sekolah Dasar: Kelayakan dan Efektivitas. Jurnal Media Dan Teknologi Pendidikan, 4(3), 402–409. https://doi.org/10.23887/jmt.v4i3.74483

Rahmah, S., Suriansyah, A., & Rafianti, W. R. (2024). Analisis Literature Review : Pengaruh Model Problem Based Learning Terhadap Hasil Belajar pada Pembelajaran Matematika di Sekolah Dasar. Jurnal Penelitian Multidisiplin, 2(4), 2290–2297. https://doi.org/https://doi.org/10.60126/maras.v2i4.633

Ran, L. (2025). Enhancing specific critical thinking skills among EFL learners through computer-assisted interactive reading model in a CALL environment: An investigation of learner perceptions and performance. Thinking Skills and Creativity, 58. https://doi.org/10.1016/j.tsc.2025.101948

Ribawa, I. G. A., Gading, I. K., & Agustiana, I. G. A. T. (2024). Problem Based Learning Berbantuan Media Videoscribe Meningkatkan Sikap Ilmiah dan Hasil Belajar IPA di Sekolah Dasar. Jurnal Media Dan Teknologi Pendidikan, 4(2), 98–109. https://doi.org/10.23887/jmt.v4i2.63486

Roshal, J. A., Lund, S., L’Huillier, J. C., Silvestri, C., Woodward, J. M., Gan, C., Moreci, R., Hoagland, D. L., McDermott, C. E., Anand, A., Everling, K., Klimberg, V. S., & Perez, A. (2025). Out of Touch: A Nationwide Mixed-Methods e-Learning Needs Assessment of General Surgery Residents. Journal of Surgical Education, 82(6), 103514. https://doi.org/10.1016/j.jsurg.2025.103514

Rudolphi-Solero, T., Bajos-Ariza, F., Lorenzo-Álvarez, R., Domínguez-Pinos, D., Ruiz-Gómez, M. J., & Sendra-Portero, F. (2025). Problem-based learning in radiology achieves similar results in classroom and metaverse settings. Insights into Imaging, 16(1). https://doi.org/10.1186/s13244-025-01987-7

Saputri, L., Rahmadona, I., Aulia, N., & Sinulingga, S. P. B. (2023). Pengaruh model pembelajaran Problem Based Learning terhadap kemampuan berpikir Kritis dan komunikasi matematis peserta didik SMP. Jurnal Serunai Matematika, 15(1), 15–20.

Sari, D. M., Widyantoro, A., & Octavia, S. (2021). Primary School in the Time of Covid-19: Parents’ Engagement in Students’ Online Learning. Jurnal Pendidikan Dan Pengajaran, 54(2), 207. https://doi.org/10.23887/jpp.v54i2.35805

Sarnoko, Asrowi, Gunarhadi, & Usodo, B. (2024). an Analysis of the Application of Problem Based Learning (Pbl) Model in Mathematics for Elementary School Students. Jurnal Ilmiah Ilmu Terapan Universitas Jambi, 8(1), 188–202. https://doi.org/10.22437/jiituj.v8i1.32057

Segara, N. B., Suprijono, A., & Setyawan, K. G. (2021). The Influence of E-Learning towards Students’ Heutagogy Skills in Higher Education. Jurnal Pendidikan Dan Pengajaran, 54(2), 286. https://doi.org/10.23887/jpp.v54i2.33128

Siswanto, E., & Meiliasari, M. (2024). Kemampuan Pemecahan Masalah pada Pembelajaran Matematika: Systematic Literature Review. Jurnal Riset Pembelajaran Matematika Sekolah, 8(1), 45–59.

Solihah, F. (2023a). Efektivitas Penggunaan Konten e-Learning Berbantuan Moodle Terintegrasi Model Pembelajaran PBL dalam Meningkatkan Kemampuan Komunikasi Matematis. Empiricism Journal, 4(1), 181–191. https://doi.org/10.36312/ej.v4i1.1104

Solihah, F. (2023b). Efektivitas Penggunaan Konten e-Learning Berbantuan Moodle Terintegrasi Model Pembelajaran PBL dalam Meningkatkan Kemampuan Komunikasi Matematis The Effectiveness of Using Moodle-Assisted e-Learning Content Integrated with PBL Learning Models in Improving. Empiricism Journal, 4(1), 181–191.

Sterz-Burdack, V., Walter, T., Eberhardt, A., Hoffmann, U., & Jud, A. (2025). Improving diagnostic and administrative coding of child maltreatment – evaluation of an e-learning course for health professionals. Child Protection and Practice, 7(March), 100231. https://doi.org/10.1016/j.chipro.2025.100231

Strouse, G. A., Newland, L. A., & Mourlam, D. J. (2019). Educational and Fun? Parent Versus Preschooler Perceptions and Co-Use of Digital and Print Media. AERA Open, 5(3), 1–14. https://doi.org/10.1177/2332858419861085

Sudianto, & Ramdiani, R. (2024). Systematic Literature Review: Pengaruh Model Problem Based Learning terhadap Kemampuan Matematis dan Sikap Siswa. Polinomial: Jurnal Pendidikan Matematika, 3(1), 36–44. https://doi.org/https://doi.org/10.56916/jp.v3i1.864

Sudiartini, N. N., & Margunayasa, I. G. (2023). Peranan poster edukasi sebagai media belajar interaktif materi IPA pada siswa sekolah dasar: tinjauan sistematik. Jurnal Ilmiah Pendidikan Dasar, 09(1), 1503–1513.

Sulistifa, A., Purnomo, E. ., & Prihaswati, M. (2023). Systematic Literature Review Kemampuan Pemecahan Masalah Matematis dalam HOTS. JIIP-Jurnal Ilmiah Ilmu Pendidikan, 6(1), 616–622. https://doi.org/https://doi.org/10.30605/proximal.v8i3.5836

Syafitri, E., Armanto, D., & Rahmadani, E. (2021). Aksiologi kemampuan berpikir kritis: kajian tentang manfaat dari kemampuan berpikir kritis. Ournal of Science and Social Research, 4(3), 320–325.

Tian, J., & Zhang, R. (2025). Acta Psychologica Learners ’ AI dependence and critical thinking : The psychological mechanism of fatigue and the social buffering role of AI literacy. Acta Psychologica, 260(September), 105725. https://doi.org/10.1016/j.actpsy.2025.105725

Wang, H., Xie, Y. D., Li, X. Y., Liu, Q., Chen, J., Wang, X. Q., Wang, J., Luo, D., Yang, B. X., Fang, Y. X., & Li, T. (2025). Clinical Simulation in Nursing Bridging the theory-practice gap : A simulation-based crossover study on competency and critical thinking in transitioning new nurses. Clinical Simulation in Nursing, 109, 101854. https://doi.org/10.1016/j.ecns.2025.101854

Zhai, X., Wang, Y., Liang, L., Wang, K., Pei, F., & Fu, E. Y. (2025). Personalized e-learning resource recommendation using multimodal-enhanced collaborative filtering. Knowledge-Based Systems, 319(April), 113605. https://doi.org/10.1016/j.knosys.2025.113605