The Development of GeoGebra in problem-based learning to enhance students' mathematical critical thinking skills
DOI:
https://doi.org/10.29408/jel.v12i1.33246Keywords:
critical thinking, GeoGebra, problem-based learning, three-dimensional geometryAbstract
This study is motivated by students' low critical thinking skills, particularly in three-dimensional geometry. Moreover, the limited availability of effective interactive learning media impedes the development of these skills. Three-dimensional geometry requires a more engaging and interactive approach to enhance understanding. This study aims to develop GeoGebra-based learning media within the Problem-Based Learning model to enhance students' critical thinking skills in mathematics. The research method employed is Research and Development using the ADDIE design model. The study subjects consist of eighth-grade students. The research instruments include validation sheets, practicality questionnaires, and tests. The validation results indicate that the GeoGebra validation score is reaching 95.16% (highly valid). The practicality test showed an average score of 96.09% (highly practical). The obtained N-Gain score of 0.7655 (high category) indicates an improvement in students' critical thinking abilities. The findings of this study conclude that the use of GeoGebra in PBL-based learning is effective in enhancing students' mathematical critical thinking skills and can serve as an innovative alternative for teaching three-dimensional geometry. The findings of this study have positive implications for enhancing students' critical thinking skills through the integration of interactive learning tools such as GeoGebra, which can improve engagement and understanding in mathematics.
References
Abrenica, E. C. (2025). Problem-Based Learning: A strategic intervention in enhancing critical and analytical thinking skills of middle school students in mathematics. International Journal of Research and Innovation in Social Science. 9(9), 575-580 https://doi.org/10.47772/ijriss.2025.90900050
Adeoye, M. A., Wirawan, K. A. S., Pradnyani, M. S., & Septiarini, N. I. (2024). Revolutionizing education: Unleashing the power of the ADDIE model for effective teaching and learning. Jpi (Jurnal Pendidikan Indonesia). 13(1), 202-209 https://doi.org/10.23887/jpiundiksha.v13i1.68624
Ainullah, A. N., Jampel, I. N., & Sudatha, I. G. W. (2023). Interactive learning multimedia with problem-based learning for fifth-grade elementary school students. Jurnal Ilmiah Sekolah Dasar. 7(2), 316-326. https://doi.org/10.23887/jisd.v7i2.57377
Al Ayyubi, I. I., Rohmatulloh, R., Suryana, I., & Wijaya, T. T. (2024). Improving students’ creative thinking skills assisted by GeoGebra software. Jtme. 2(1), 23-34. https://doi.org/10.33367/jtme.v2i1.4244
Amalia, D., Indiati, I., Buchori, A., & Krisnaningsih, G. (2023). Promoting mathematics problem solving ability through implementing GeoGebra-assisted problem based learning. Union Jurnal Ilmiah Pendidikan Matematika. 11(2), 275-284 https://doi.org/10.30738/union.v11i2.14756
Anzani, V., & Juandi, D. (2022). Meta-Analysis: The effect of problem-based learning assisted GeoGebra software on students mathematic ability. Jurnal Cendekia Jurnal Pendidikan Matematika. 6(2), 1900-1907. https://doi.org/10.31004/cendekia.v6i2.1425
Aparı, B., Özgen, K., & Zengin, Y. (2022). Developing students’ problem posing skills with dynamic geometry software and active learning framework. Turkish Journal of Education. 11(2), 93 – 125. https://doi.org/10.19128/turje.880173
Awaji, B., Khalil, I., & Al-Zahrani, A. (2025). A bibliometrics study of two decades of geogebra research in mathematics education. Journal of Educational and Social Research. 15(1), 130-150. https://doi.org/10.36941/jesr-2025-0011
Aydın, G. (2020). İlkokul öğretmenlerinin öğrencilerle fen, matematik, mühendislik, teknoloji (STEM) eğitimi öncesi gereksinimleri; Durum çalişmasi. Eurasian Journal of Educational Research. 88(1), 1-40. https://doi.org/10.14689/ejer.2020.88.1
Barçin, N., & Yenmez, A. A. (2023). GeoGebra software on the mathematical language developments and self-efficacy perceptions of students. International E-Journal of Educational Studies. 7(15), 682 -704. https://doi.org/10.31458/iejes.1340349
Baye, M. G., Ayele, M. A., & Wondimuneh, T. E. (2021). Implementing GeoGebra integrated with multi-teaching approaches guided by the apos theory to enhance students’ conceptual understanding of limit in ethiopian universities. Heliyon. 7(5), 1-13. https://doi.org/10.1016/j.heliyon.2021.e07012
Birgin, O., & Yazıcı, K. U. (2021). The effect of GeoGebra software–supported mathematics instruction on eighth‐grade students’ conceptual understanding and retention. Journal of Computer Assisted Learning. 37(4), 925–939. https://doi.org/10.1111/jcal.12532
Canonigo, A. M. (2024). Levering AI to enhance students’ conceptual understanding and confidence in mathematics. Journal of Computer Assisted Learning. 40(6), 3215–3229. https://doi.org/10.1111/jcal.13065
Cesaria, A., Kemal, E., & Adnan, M. (2024). Introduction english for mathematics course: What are the student difficulties and causing factors? Veles Voice of English Language Education Society. 8(1), 253–261. https://doi.org/10.29408/veles.v8i1.24924
Choi, H. K., Lee, S. H., & Yang, S. Y. (2022). Development of an integrated mobile application for lifestyle modification in women with polycystic ovarian syndrome. Journal of Clinical Nursing. 32(1), 49–57. https://doi.org/10.1111/jocn.16253
Dahal, N., Pant, B. P., Shrestha, I. M., & Manandhar, N. K. (2022). Use of GeoGebra in teaching and learning geometric transformation in school mathematics. International Journal of Interactive Mobile Technologies (Ijim). 16(08), 65–78. https://doi.org/10.3991/ijim.v16i08.29575
Dairo, O. M., Okonkwo, C. A., & Orakwe, C. U. (2024). A Review of primary school teachers’ insight into traditional instruction and activity-based learning in mathematics education. International Journal of Applied Research in Social Sciences. 6(11), 2778–2790. https://doi.org/10.51594/ijarss.v6i11.1725
Demiray, E., Işıksal, M., & Saygı, E. (2023). Components of collective argumentation in geometric construction tasks. Turkish Journal of Education. 12(1), 50–71. https://doi.org/10.19128/turje.1176981
Fang, C. Y., Zakaria, M. I., & Muslim, N. E. I. (2023). A systematic review: Challenges in implementing problem-based learning in mathematics education. International Journal of Academic Research in Progressive Education and Development. 12(3), 1261–1271. https://doi.org/10.6007/ijarped/v12-i3/19158
Fauzi, A., Rahmatih, A. N., Umar, U., & Ermiana, I. (2025). Utilization of GeoGebra software in developing mathematics learning media for geometry material for PGSD students at Mataram University. Jurnal Interaktif Warta Pengabdian Pendidikan. 5(1), 49–56. https://doi.org/10.29303/interaktif.v5i1.329
Fernandez, R., & Condori, A. P. (2023). Digital and 21st Century Competences: Challenges and difficulties in the teaching and learning of mathematics by ecuadorian teachers. Psen. 2(2), 13-24. https://doi.org/10.56831/psen-02-031
Hadi, H., Wahyudin, W., & Usdiyana, D. (2024). Improving mathematical communication skills through the GeoGebra-helped PBL and direct instruction reviewed from the level of learning independence. Prisma Sains Jurnal Pengkajian Ilmu Dan Pembelajaran Matematika Dan IPA IKIP Mataram. 12(1), 71–85. https://doi.org/10.33394/j-ps.v12i1.9689
Handayani, E. D., Kusnawati, E., Sari, N. M., Yaniawati, P., & Zulkarnaen, M. I. (2022). Implementation of GeoGebra-assisted creative problem-solving model to improve problem solving ability and learning interest students. Al-Jabar Jurnal Pendidikan Matematika. 13(1), 33–48. https://doi.org/10.24042/ajpm.v13i1.11341
Harianto, N. A., & Sudatha, I. G. W. (2024). Interactive multimedia with problem-based learning in mathematics. Journal of Education Technology. 7(4), 610–618. https://doi.org/10.23887/jet.v7i4.64656
Harwyandani, L. P., & Suyono. (2023). Development of argumentation skills test instruments on buffer solutions in daily life. Jurnal Penelitian Pendidikan IPA. 9(12), 10705–10714. https://doi.org/10.29303/jppipa.v9i12.4725
Hidayat, W., Rohaeti, E. E., Hamidah, I., & Putri, R. I. I. (2023). How can android-based trigonometry learning improve the math learning process? Frontiers in Education, 7. 7(1101161), 1-13. https://doi.org/10.3389/feduc.2022.1101161
Ishartono, N., Nurcahyo, A., Waluyo, M., Razak, R. A., Sufahani, S. F., & Hanifah, M. (2022). GeoGebra-based flipped learning model: an alternative panacea to improve students’ learning independency in online mathematics learning. Jramathedu (Journal of Research and Advances in Mathematics Education). 7(3), 178–196. https://doi.org/10.23917/jramathedu.v7i3.18141
Muslim, N. E. I., Zakaria, M. I., & Fang, C. Y. (2023). A systematic review of GeoGebra in mathematics education. International Journal of Academic Research in Progressive Education and Development. 12(3), 1192–1203. https://doi.org/10.6007/ijarped/v12-i3/19133
Jahudin, J., & Siew, N. M. (2023). Infusion of polya and digital bar model: An algebraic thinking module for seventh graders. Problems of Education in the 21st Century. 81(4), 481–500. https://doi.org/10.33225/pec/23.81.481
Ke, F., Dai, C., West, L., Pan, Y., & Xu, J. (2023). Using mathematizing supports for applied problem solving in a game-based learning environment. Journal of Educational Computing Research. 62(2), 248-280. https://doi.org/10.1177/07356331231206990
Lailiyah, F., & Marlena, N. (2024). How is the basics of marketing e-module developed in vocational high schools? Jurnal Pendidikan Teknologi Dan Kejuruan. 30(1), 98–111. https://doi.org/10.21831/jptk.v30i1.66686
Lee, Y. (2022). Promoting social and emotional learning competencies in science, technology, engineering, and mathematics project‐based mathematics classrooms. School Science and Mathematics. 289(114417), 1–11 https://doi.org/10.1111/ssm.12557
Lingefjärd, T., & Ghosh, J. B. (2022). Enhancing students mathematical thinking using applets. Journal of Mathematics and Science Teacher. 2(2), em015. https://doi.org/10.29333/mathsciteacher/12318
Majaga, L., Rochaminah, S., Hasbi, M., & Baharuddin, B. (2024). Analysis of students’ critical thinking in problems solving on curved-sided spherical figures. Numerical Jurnal Matematika Dan Pendidikan Matematika. 8(1), 147–156. https://doi.org/10.25217/numerical.v8i1.4541
Masjudin, M. (2024). Strengthening 21st century skills through an independent curriculum in mathematics education in indonesia: Challenges, potential, and strategies. International Journal of Applied Science and Sustainable Development (IJASSD), 6(2), 92–113. https://doi.org/10.36733/ijassd.v6i2.9087
Masjudin, M., Abidin, Z., Kurniawan, A., Pujilestari, P., Astuti, S. H., & Yuliyanti, S. (2025). Development of inquiry-based learning tools to enhance students’ learning interest and conceptual understanding in mathematics. Jurnal Penelitian Dan Pengkajian Ilmu Pendidikan: E-Saintika, 9(2), 379–404. https://doi.org/10.36312/e-saintika.v9i2.2987
Murnaka, N. P., Satria, S., Haryanti, H., & Indira, E. W. M. (2023). Problem based learning learning model for improving the mathematical problem solving ability of grade viii students of SMPN 1 Damar. Mathline Jurnal Matematika Dan Pendidikan Matematika. 8(1), 234–245. https://doi.org/10.31943/mathline.v8i1.360
Noverianto, B., Agoestanto, A., Dewi, N. R., & Mariani, S. (2024). Meta analysis: The effect of the GeoGebra applet-assisted discovery learning model on students’ mathematical problem solving ability in geometry material. Mathline Jurnal Matematika Dan Pendidikan Matematika. 9(2), 331–346. https://doi.org/10.31943/mathline.v9i2.604
Nu’man, M. (2025). The impact of islamic integrative math problems with science, technology, engineering, and mathematics (STEM) education framework to improve critical thinking skills. Eduprof Islamic Education Journal. 7(1), 1–19. https://doi.org/10.47453/eduprof.v7i1.288
Otuma, N. V., Kati, R., & Wasike, D. (2022). Specialised mathematical english as a resource of learning secondary school mathematics: A case study in l2 classrooms. International Journal of Research and Innovation in Social Science. 6(11), 107-115. https://doi.org/10.47772/ijriss.2022.61107
OECD. (2023). PISA 2022 results (Volume I). The state of learning and equity in education. https://doi.org/10.1787/53f23881-en
Padilah, E. B., Imswatama, A., & Balkist, P. S. (2025). Analysis of junior high school students critical thinking skills in solving contextual-based problems. Union Jurnal Ilmiah Pendidikan Matematika. 13(1), 122–131. https://doi.org/10.30738/union.v13i1.18726
Negara, H. R. P., Wahyudin, W., Nurlaelah, E., & Herman, T. (2022). Improving students’ mathematical reasoning abilities through social cognitive learning using GeoGebra. International Journal of Emerging Technologies in Learning (Ijet). 17(18), 118–135. https://doi.org/10.3991/ijet.v17i18.32151
Pratiwi, F. R., Hendriana, H., Supriatna, T., & Putra, H. D. (2025). Enhancing students’ mathematical critical thinking skills through STEM learning on junior high school. (Jiml) Journal of Innovative Mathematics Learning. 8(2), 202–210. https://doi.org/10.22460/jiml.v8i2.23894
Purbaningrum, M., & Mahmudi, A. (2024). The effect of GeoGebra-assisted problem-based learning on students’ mathematical literacy skills and learning motivation. Al-Ishlah Jurnal Pendidikan. 16(2), 1337–1350. https://doi.org/10.35445/alishlah.v16i2.4620
Rahman, O. R., Usman, U., & Johar, R. (2021). Improving high school students’ critical thinking ability in linear programming through problem based learning assisted by GeoGebra. Journal of Physics Conference Series. 1882(1), 012070. https://doi.org/10.1088/1742-6596/1882/1/012070
Rezat, S., Fan, L., & Pepin, B. (2021). Mathematics textbooks and curriculum resources as instruments for change. ZDM. 53(6), 1189–1206. https://doi.org/10.1007/s11858-021-01309-3
Rokan, N., Elmania, P., Sihombing, F. G., Hasibuan, A. M., & Rizqi, N. R. (2023). Development of problem-based learning-based mathematics with the assistance of GeoGebra applications to improve students’ mathematical concepts understanding ability. Jurnal Eduscience. 10(2), 451–467. https://doi.org/10.36987/jes.v10i2.4584
Sadewi, S. W., & Kamaludin, A. (2023). Development of powtoon web apps assisted colloid system material animation video to increase students’ interest in learning. Jurnal Pendidikan Kimia. 15(2), 130–139. https://doi.org/10.24114/jpkim.v15i2.46666
Saepuloh, D., Sabur, A., Lestari, S., & Mukhlishoh, S. (2021). Improving students’ critical thinking and self-efficacy by learning higher order thinking skills through problem based learning models. Jpi (Jurnal Pendidikan Indonesia). 10(3), 495–504. https://doi.org/10.23887/jpi-undiksha.v10i3.31029
Saleh, A., Phillips, T., Hmelo‐Silver, C. E., Glazewski, K., Mott, B., & Lester, J. C. (2022). A learning analytics approach towards understanding collaborative inquiry in a problem‐based learning environment. British Journal of Educational Technology. 51(5), 1505–1526. https://doi.org/10.1111/bjet.13198
Samosir, N., & Salayan, M. (2023). The influence of problem-based learning with the assistance of GeoGebra on student mathematical problem-solving ability. Edumaspul - Jurnal Pendidikan. 7(2), 5093–5099. https://doi.org/10.33487/edumaspul.v7i2.6977
Samura, A. O., & Darhim. (2023). Improving mathematics critical thinking skills of junior high school students using blended learning model (BLM) in GeoGebra assisted mathematics learning. International Journal of Interactive Mobile Technologies (Ijim). 17(2), 101–117. https://doi.org/10.3991/ijim.v17i02.36097
Sebsibe, A. S., & Abdella, N. (2025). The effect of GeoGebra integrated instruction on students’ learning of the quadratic function concept. F1000research. 14(671), 1-22. https://doi.org/10.12688/f1000research.163113.1
Seftiana, G., Lestari, N., Isnawan, M. G., & Rusmayadi, Muh. (2024). Utilization of GeoGebra software in mathematics learning: A literature systematic review. Polyhedron Int. J. Math. Educ. 2(1), 156–163. https://doi.org/10.59965/pijme.v2i1.95
Shanley, L., Clarke, B., Kosty, D., Turtura, J., Cook, M., Sutherland, M., & Smolkowski, K. (2025). Examining mathematics intervention effects on domain general skills: are mathematics gains associated with improved domain general skills? Journal of Educational Psychology. 117(6), 884–897. https://doi.org/10.1037/edu0000937
Sihombing, W. R., Sepdikasari Dirgantoro, K. P., & Bonyah, E. (2025). Application of GeoGebra-assisted problem-based learning model to strengthen the learning interest of eighth grade junior high school students. Gradient. 2(02), 72–80. https://doi.org/10.56855/gradient.v2i02.1742
Sutama, S., Fuadi, D., Narimo, S., Nur Hafida, S. H., Novitasari, M., Anif, S., Prayitno, H. J., Sunanih, S., & Adnan, M. (2022). Collaborative mathematics learning management: critical thinking skills in problem solving. International Journal of Evaluation and Research in Education (Ijere). 11(3), 1015–1027. https://doi.org/10.11591/ijere.v11i3.22193
Tawfik, A. A., Gish-Lieberman, J. J., Gatewood, J., & Arrington, T. L. (2021). How K-12 teachers adapt problem-based learning over time. Interdisciplinary Journal of Problem-Based Learning. 15(1), 1–18. https://doi.org/10.14434/ijpbl.v15i1.29662
Tucker, C. B., Byrd, K., Gossen, D., & Morrison, K. Y. (2024). Teacher self-efficacy and preparedness for integrating STEM education using a project-based learning approac. Journal of Research in Science Mathematics and Technology Education. 7(SI), 43–59. https://doi.org/10.31756/jrsmte.313si
Utomo, D. P. (2021). An analysis of the statistical literacy of middle school students in solving TIMSS problems. International Journal of Education in Mathematics Science and Technology, 9(2), 181–197. https://doi.org/10.46328/ijemst.1552
Wardani, I. U., Putu Arnyana, I. B., & Suastra, I. W. (2022). The application of PBL model in efforts to improve scientific reasoning skills of elementary school students. Kappa Journal. 6(2), 423–432. https://doi.org/10.29408/kpj.v6i2.7640
Warsitasari, W. D., & Rofiki, I. (2023). Utilizing GeoGebra for solving economic mathematics problems: Promoting logical reasoning in problem-based learning. Aksioma Jurnal Program Studi Pendidikan Matematika. 12(3), 3445–3456. https://doi.org/10.24127/ajpm.v12i3.7300
Widiana, I. W. (2022). Performance and project assessment in science learning. Jurnal Pendidikan Dan Pengajaran. 55(2), 231–241. https://doi.org/10.23887/jpp.v55i2.48942
Yanto, A. D., Wijaya, W., & Kohar, A. W. (2023). Critical thinking of students with high and low mathematics efficacy PISA problem: A case of algebraic task. J. Math. Pedagogy (JoMP). 3(2), 68–80. https://doi.org/10.26740/jomp.v3n2.p68-80
Yerizon, Y., Arnawa, I. M., Fitriani, N., & Tajudin, N. M. (2022). Constructing calculus concepts through worksheet based problem-based learning assisted by GeoGebra software. Hightech and Innovation Journal. 3(3), 282–296. https://doi.org/10.28991/hij-2022-03-03-04
Yerizon, Y., Arnellis, A., Tasman, F., & Widjaja, W. (2023). Enhancing junior high school students’ reasoning of linear equations using GeoGebra software. International Journal of Interactive Mobile Technologies (Ijim). 17(18), 16–32. https://doi.org/10.3991/ijim.v17i18.41441
Ziatdinov, R., & Valles, J. (2022). Synthesis of modeling, visualization, and programming in geogebra as an effective approach for teaching and learning STEM topics. Mathematics. 10(3), 398. https://doi.org/10.3390/math10030398
Σπατιώτη, Α. Γ., Kazanidis, I., & Pange, J. (2023). Educational design and evaluation models of the learning effectiveness in e-learning process: A systematic review. Turkish Online Journal of Distance Education. 24(4), 318–347. https://doi.org/10.17718/tojde.1177297
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