Google Sites-Mediated Problem-Based Learning: Effects on Students’ Conceptual Understanding and Mathematical Self-Efficacy
DOI:
https://doi.org/10.61255/itej.v4i3.2400Keywords:
Conceptual Understanding, Geometric Transformation, Google Sites, Mathematical Self-Efficacy, Problem-Based Learning, 4D ModelAbstract
Background: Geometric transformations require students to connect visual, coordinate, symbolic, and matrix representations. In the participating class, procedural answers frequently concealed incomplete conceptual explanations, while many students hesitated to tackle unfamiliar tasks. An integrated digital environment was therefore designed to support the phases of problem-based learning (PBL) and opportunities to develop mathematical self-efficacy.
Aim: This study developed a PBL-based Google Sites environment for geometric transformations and examined its validity, practicality, and pre–post changes in conceptual understanding and self-efficacy.
Method: Research and development followed the Define, Design, Develop, and Disseminate (4D) model. A content expert, media expert, and practitioner validated the product. Its field trial involved 21 Grade XI students in Batam, Indonesia, over six PBL meetings using a one-group pretest–posttest design. Evidence came from validation and response forms, implementation observation, a ten-item conceptual understanding essay test (α = .874 reported for the instrument try-out), and a 16-item self-efficacy scale (α = .93 before and .85 after). Percentage scores, normalized gain, and Wilcoxon signed-rank tests were used.
Results: The environment obtained 88.61% for validity (content 93.08%, media 80.77%, practitioner 93.00%) and 93.97% for practicality (implementation 92.22%, teacher response 100%, student response 89.68%). Conceptual understanding increased from M = 66.52 to M = 87.81 (mean N-gain = 0.67; mastery 28.57% to 100%; z = 4.02, p < .001, r = .88). Self-efficacy increased from M = 45.43 to M = 59.24 (mean N-gain = 0.81; z = 4.02, p < .001, r = .88), with the largest increase in magnitude.
Conclusion: The PBL-aligned website was rated valid and practical, and both measured outcomes improved during the field trial. The absence of a comparison group limits causal attribution and wider generalization.
Abstract views: 53
,
PDF downloads: 31
Downloads
References
Aba-Oli, Z., Koyas, K., & Husen, A. (2025). Higher-order thinking skills-oriented problem-based learning interventions in mathematics: A systematic literature review. School Science and Mathematics, 125(3), 214–231. https://doi.org/10.1111/ssm.12676
Afifah, S., Tamrin, M., Salsabila, K. I., Hasanah, A., & Herman, T. (2024). Analisis kemampuan siswa pada pemahaman konsep matematis materi barisan dan deret. Jurnal Jendela Matematika, 2(1), 11–20.
Arends, R. I. (2012). Learning to teach (9th ed.). McGraw-Hill.
Arnisya, M. F., Luritawaty, I. P., & Sumartini, T. S. (2025). Pengembangan media pembelajaran matematika berbantuan Google Sites pada materi sistem persamaan linear dua variabel. Jurnal Pendidikan Matematika Universitas Lampung, 12(4), 293–304. https://doi.org/10.23960/mtk/v12i4.pp293-304
Bach, C. C., Bergqvist, E., & Jankvist, U. T. (2024). Students’ dynamic communication while transforming mathematical representations in a dynamic geometry environment. ZDM – Mathematics Education, 56, 543–557. https://doi.org/10.1007/s11858-024-01575-x
Bandura, A. (1997). Self-efficacy: The exercise of control. W. H. Freeman.
Broda, M. D., Ross, E., Sorhagen, N., & Ekholm, E. (2023). Exploring control-value motivational profiles of mathematics anxiety, self-concept, and interest in adolescents. Frontiers in Psychology, 14, Article 1140924. https://doi.org/10.3389/fpsyg.2023.1140924
Cevikbas, M., & Kaiser, G. (2023). Can flipped classroom pedagogy offer promising perspectives for mathematics education on pandemic-related issues? A systematic literature review. ZDM – Mathematics Education, 55, 177–191. https://doi.org/10.1007/s11858-022-01388-w
Ciung, M. V., Istiqomah, I., & Taufiq, I. (2022). Pengembangan media pembelajaran matematika berbasis Google Sites pada materi deret aritmatika. Circle: Jurnal Pendidikan Matematika, 2(1), 41–50. https://e-journal.uingusdur.ac.id/circle/article/view/332
Demedts, F., Reynvoet, B., Sasanguie, D., & Depaepe, F. (2022). Unraveling the role of math anxiety in students’ math performance. Frontiers in Psychology, 13, Article 979113. https://doi.org/10.3389/fpsyg.2022.979113
Dreher, A., Wang, T.-Y., Feltes, P., Hsieh, F.-J., & Lindmeier, A. (2024). High-quality use of representations in the mathematics classroom: A matter of the cultural perspective?. ZDM – Mathematics Education, 56, 965–980. https://doi.org/10.1007/s11858-024-01597-5
Engelbrecht, J., & Borba, M. C. (2024). Recent developments in using digital technology in mathematics education. ZDM – Mathematics Education, 56, 281–292. https://doi.org/10.1007/s11858-023-01530-2
Fitrianingsih, N., Apriliana, S., Ilmi, A. K., & Fakhriyana, D. (2024). Systematic literature review: Self-efficacy terhadap kemampuan pemahaman konsep matematis. El Banar: Jurnal Pendidikan dan Pengajaran, 7(2), 1–14. https://doi.org/10.54125/elbanar.v7i02.260
Fritz, C. O., Morris, P. E., & Richler, J. J. (2012). Effect size estimates: Current use, calculations, and interpretation. Journal of Experimental Psychology: General, 141(1), 2–18. https://doi.org/10.1037/a0024338
Gentner, N. M., Respondek, L., & Seufert, T. (2024). Effects of short- and long-term prompting in learning journals on strategy use, self-efficacy, and learning outcomes. Instructional Science, 52, 919–950. https://doi.org/10.1007/s11251-024-09671-x
Giberti, C., Arzarello, F., Bolondi, G., & Demo, H. (2022). Exploring students’ mathematical discussions in a multi-level hybrid learning environment. ZDM – Mathematics Education, 54, 403–418. https://doi.org/10.1007/s11858-022-01364-4
Gurmu, F., Tuge, C., & Hunde, A. B. (2024). Effects of GeoGebra-assisted instructional methods on students’ conceptual understanding of geometry. Cogent Education, 11(1), Article 2379745. https://doi.org/10.1080/2331186X.2024.2379745
Hake, R. R. (1998). Interactive-engagement versus traditional methods: A six-thousand-student survey of mechanics test data for introductory physics courses. American Journal of Physics, 66(1), 64–74. https://doi.org/10.1119/1.18809
Hardita, F., Zakiah, N. E., & Solihah, S. (2024). Kemampuan pemahaman konsep matematis siswa pada materi persegi dan persegi panjang. Proceeding GAMMA-NC, 4(1), 128–138. https://jurnal.unigal.ac.id/GAMMA-NC/article/download/15072/pdf
Hartmann, L.-M., Krawitz, J., & Schukajlow, S. (2021). Create your own problem! When given descriptions of real-world situations, do students pose and solve modelling problems?. ZDM – Mathematics Education, 53, 919–935. https://doi.org/10.1007/s11858-021-01224-7
Hernández de la Hera, J. M., Morales-Rodríguez, F. M., Rodríguez-Gobiet, J. P., & Martínez-Ramón, J. P. (2023). Attitudes toward mathematics/statistics, anxiety, self-efficacy and academic performance: An artificial neural network. Frontiers in Psychology, 14, Article 1214892. https://doi.org/10.3389/fpsyg.2023.1214892
Herset, M., El Ghami, M., & Bjerke, A. H. (2023). The effect of level-marked mathematics tasks on students’ self-efficacy: An experimental study. Frontiers in Psychology, 14, Article 1116386. https://doi.org/10.3389/fpsyg.2023.1116386
Hidayat, A., & Firmanti, P. (2024). Navigating the tech frontier: A systematic review of technology integration in mathematics education. Cogent Education, 11(1), Article 2373559. https://doi.org/10.1080/2331186X.2024.2373559
Hmelo-Silver, C. E. (2004). Problem-based learning: What and how do students learn?. Educational Psychology Review, 16(3), 235–266. https://doi.org/10.1023/B:EDPR.0000034022.16470.f3
Holenstein, M., Bruckmaier, G., & Grob, A. (2022). How do self-efficacy and self-concept impact mathematical achievement? The case of mathematical modeling. British Journal of Educational Psychology, 92(1), 155–174. https://doi.org/10.1111/bjep.12443
Jäder, J., & Johansson, H. (2025). Exploring students’ conceptual understanding through mathematical problem solving: Students’ use of and shift between different representations of rational numbers. Research in Mathematics Education. https://doi.org/10.1080/14794802.2025.2456840
Jannah, M., Apriandi, D., & Andari, T. (2024). Pengembangan media pembelajaran berbasis Google Site interaktif untuk meningkatkan adversity quotient matematis siswa. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 13(1), 293–303. https://doi.org/10.24127/ajpm.v13i1.8330
Johdi, H., Gunawan, G., Ayub, S., & Kosim, K. (2024). The effectiveness of interactive Google Sites-based learning media on students’ conceptual understanding. Indonesian Journal of STEM Education, 6(2), 55–62. https://journal.publication-center.com/index.php/ijse/article/view/1638
Kilpatrick, J., Swafford, J., & Findell, B. (Eds.). (2001). Adding it up: Helping children learn mathematics. National Academy Press. https://doi.org/10.17226/9822
Koponen, T., Aro, T., Peura, P., Leskinen, M., Viholainen, H., & Aro, M. (2021). Benefits of integrating an explicit self-efficacy intervention with calculation strategy training for low-performing elementary students. Frontiers in Psychology, 12, Article 714379. https://doi.org/10.3389/fpsyg.2021.714379
Krawitz, J., Meyer-Jenßen, L., Krausmüller, K., & Rakoczy, K. (2026). Problem posing and motivation: The effects of posing and solving one’s own modelling problems on autonomy, competence, relatedness, and self-efficacy. ZDM – Mathematics Education, 58, 621–636. https://doi.org/10.1007/s11858-025-01762-4
Kristanto, I., & Afifah, D. S. N. (2022). SIJAMET (Sijago Matematika): Media pembelajaran berbasis Google Sites pada materi peluang. JKPM (Jurnal Kajian Pendidikan Matematika), 8(1), 63–74. https://doi.org/10.30998/jkpm.v8i1.14076
Lenz, K., Reinhold, F., & Wittmann, G. (2024). Transitions between conceptual and procedural knowledge profiles: Patterns in understanding fractions and indicators for individual differences. Learning and Individual Differences, 116, Article 102548. https://doi.org/10.1016/j.lindif.2024.102548
Mannan, A. M. K., Bajuri, M. R., Abdul Rahim, S. S., & Abdullah, N. A. (2026). How do digital tools support metacognition in mathematics learning? A systematic review of research on GeoGebra and problem-solving. Educational Research Review, 52, Article 100827. https://doi.org/10.1016/j.edurev.2026.100827
Mustika, G. S., Astuti, D., Aprilia, A., & Yuliandari, Y. (2024). Implementasi model problem-based learning berbantuan Google Sites untuk meningkatkan kemampuan pemahaman konsep siswa pada materi fungsi kuadrat. Jurnal Inovasi Pembelajaran Matematika, 3(1), 23–39. https://journal.rafandhapress.com/jipm/article/view/98
Navarro, M., Larrain, M., & Pezoa, J. (2025). Internal structure of a scale of sources of self-efficacy in mathematics among middle-school students. International Journal of Educational Research, 134, Article 102771. https://doi.org/10.1016/j.ijer.2025.102771
Negara, F. P., Abidin, Z., & Faradiba, S. S. (2023). Meningkatkan self-efficacy matematika siswa melalui pembelajaran berbasis masalah. Jurnal Cendekia: Jurnal Pendidikan Matematika, 7(1), 455–466. https://doi.org/10.31004/cendekia.v7i1.1943
Noverlika, R., Mujahidawati, M., & Falani, I. (2024). Pengembangan media pembelajaran Wegos (Web Google Sites) berbasis problem-based learning untuk meningkatkan kemampuan pemecahan masalah matematis siswa. Jurnal Pendidikan MIPA, 14(2), 365–372. https://doi.org/10.37630/jpm.v14i2.1524
Nst, M. B., Surya, E., & Khairani, N. (2023). Pengaruh model problem-based learning terhadap kemampuan pemecahan masalah matematika dan self-efficacy siswa. Jurnal Cendekia: Jurnal Pendidikan Matematika, 7(2), 1533–1544. https://doi.org/10.31004/cendekia.v7i2.2291
Pakih, S. M., Sugandi, A. I., & Zanthy, L. S. (2025). Penerapan model pembelajaran problem-based learning berbantuan Google Sites untuk meningkatkan kemampuan pemahaman matematis siswa SMP. JPMI: Jurnal Pembelajaran Matematika Inovatif, 8(5), 583–598. https://journal.ikipsiliwangi.ac.id/jpmi/article/view/28938
Rahmafani, E. A., & Sulistyaningrum, H. (2025). Pengembangan media pembelajaran interaktif berbantuan Google Sites untuk meningkatkan pemahaman konsep siswa SMP. Jurnal Cendekia: Jurnal Pendidikan Matematika, 9(3), 1238–1249. https://doi.org/10.31004/cendekia.v9i3.4363
Říčan, J., Chytrý, V., & Medová, J. (2022). Aspects of self-regulated learning and their influence on the mathematics achievement of fifth graders in the context of four different proclaimed curricula. Frontiers in Psychology, 13, Article 963151. https://doi.org/10.3389/fpsyg.2022.963151
Riyanto, H. W., Degeng, I. N. S., & Sitompul, N. C. (2025). The effect of Google Sites on elementary students’ conceptual understanding in mathematics. Jurnal Teknologi Pendidikan: Jurnal Penelitian dan Pengembangan Pembelajaran, 10(4), 840–850. https://doi.org/10.33394/jtp.v10i4.18212
Sakellariou, C. (2022). The reciprocal relationship between mathematics self-efficacy and mathematics performance in US high school students: Instrumental variables estimates and gender differences. Frontiers in Psychology, 13, Article 941253. https://doi.org/10.3389/fpsyg.2022.941253
Sánchez, E., García-Ríos, V. N., & Sepúlveda, F. (2024). Development of high school students’ conceptions of sampling distribution in the context of learning significance tests with technology. Educational Studies in Mathematics, 117, 215–238. https://doi.org/10.1007/s10649-024-10330-8
Shimizu, Y. (2025). Relation between mathematics self-efficacy, mathematics anxiety, behavioural engagement, and mathematics achievement in Japan. Psychology International, 7(2), Article 36. https://doi.org/10.3390/psycholint7020036
Sihombing, B., Zamsiswaya, & Sawaluddin. (2024). Model pengembangan 4D (Define, Design, Develop, dan Disseminate) dalam pembelajaran pendidikan Islam. Journal of Islamic Education El Madani, 4(1), 11–19. https://doi.org/10.55438/jiee.v4i1.135
Stovner, R. B., & Klette, K. (2022). Teacher feedback on procedural skills, conceptual understanding, and mathematical practices: A video study in lower secondary mathematics classrooms. Teaching and Teacher Education, 110, Article 103593. https://doi.org/10.1016/j.tate.2021.103593
Street, K. E. S., Malmberg, L.-E., & Schukajlow, S. (2024). Students’ mathematics self-efficacy: A scoping review. ZDM – Mathematics Education, 56, 265–280. https://doi.org/10.1007/s11858-024-01548-0
Sudianto, S., & Ramdiani, R. (2024). SLR: Pengaruh model PBL terhadap kemampuan matematis dan sikap siswa. Polinomial, 3(1), 36–44. https://doi.org/10.56916/jp.v3i1.864
Tempelaar, D., Bátori, A., & Giesbers, B. (2024). Understanding self-regulation strategies in problem-based learning through dispositional learning analytics. Frontiers in Education, 9, Article 1382771. https://doi.org/10.3389/feduc.2024.1382771
Thiagarajan, S., Semmel, D. S., & Semmel, M. I. (1974). Instructional development for training teachers of exceptional children: A sourcebook. Leadership Training Institute/Special Education, University of Minnesota. https://files.eric.ed.gov/fulltext/ED090725.pdf
Uegatani, Y., Otani, H., Shirakawa, S., & Ito, R. (2024). Real and illusionary difficulties in conceptual learning in mathematics: Comparison between constructivist and inferentialist perspectives. Mathematics Education Research Journal, 36, 895–915. https://doi.org/10.1007/s13394-023-00478-6
Usher, E. L., & Pajares, F. (2008). Sources of self-efficacy in school: Critical review of the literature and future directions. Review of Educational Research, 78(4), 751–796. https://doi.org/10.3102/0034654308321456
Valori, G., Albanese, V., Adamuz-Povedano, N., & Gómez-Torres, E. (2024). Effectiveness of paper folding and GeoGebra on students’ geometric thinking and visualization. International Journal of Education in Mathematics, Science and Technology, 12(5), 1395–1414. https://eric.ed.gov/?id=EJ1452836
Vessonen, T., Hellstrand, H., Kurkela, M., Aunio, P., & Laine, A. (2025). The effectiveness of mathematical word problem-solving interventions among elementary schoolers: A systematic review and meta-analysis. International Journal of Educational Research, 132, Article 102642. https://doi.org/10.1016/j.ijer.2025.102642
Vogelsanger-Holenstein, M., Schukajlow, S., & Bruckmaier, G. (2025). Mathematical modelling and self-efficacy: Immediate and long-lasting effects of teaching mathematical modelling with a solution plan. ZDM – Mathematics Education, 57, 489–502. https://doi.org/10.1007/s11858-025-01674-3
Wang, L., Peng, F., & Song, N. (2022). The impact of students’ mathematical attitudes on intentions, behavioral engagement, and mathematical performance in the China’s context. Frontiers in Psychology, 13, Article 1037853. https://doi.org/10.3389/fpsyg.2022.1037853
Waseso, K., Fitriasari, P., & Isroqmi, A. (2022). Inovasi media pembelajaran matematika interaktif berbasis Google Sites. AKSIOMA: Jurnal Matematika dan Pendidikan Matematika, 13(2), 301–314. https://doi.org/10.26877/aks.v13i2.12018
Yang, Z., Yang, X., Wang, K., Zhang, Y., Pei, G., & Xu, B. (2021). The emergence of mathematical understanding: Connecting to the closest superordinate and convertible concepts. Frontiers in Psychology, 12, Article 525493. https://doi.org/10.3389/fpsyg.2021.525493
Yu, W., Zhou, S., & Zhou, Y. (2023). Measuring mathematics self-efficacy: Multitrait-multimethod comparison. Frontiers in Psychology, 14, Article 1108536. https://doi.org/10.3389/fpsyg.2023.1108536
Zakariya, Y. F. (2021). Self-efficacy between previous and current mathematics performance of undergraduate students: An instrumental variable approach to exposing a causal relationship. Frontiers in Psychology, 11, Article 556607. https://doi.org/10.3389/fpsyg.2020.556607
Zakariya, Y. F. (2022). Improving students’ mathematics self-efficacy: A systematic review of intervention studies. Frontiers in Psychology, 13, Article 986622. https://doi.org/10.3389/fpsyg.2022.986622
Živković, M., Pellizzoni, S., Doz, E., Cuder, A., Mammarella, I., & Passolunghi, M. C. (2023). Math self-efficacy or anxiety? The role of emotional and motivational contribution in math performance. Social Psychology of Education, 26, 579–601. https://doi.org/10.1007/s11218-023-09760-8
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Yumiati, Risna Helmi, Endang Wahyuningrum

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
