Effectiveness Test of the PRISMA-E’xi Learning Model in Physics Learning: A Large-Scale Trial on Creative Problem Solving Across Rural, Sub-Urban, and Urban Schools

Rahma Diani; Viyanti Viyanti; Tri Jalmo; Dewi Lengkana; Hendri Noperi; Antomi  Saregar; Fredi Ganda Putra

doi:10.58524/smartsociety.v6i1.942

Authors

Rahma Diani Universitas Islam Negeri Raden Intan Lampung, Indonesia
Viyanti Viyanti Universitas Lampung, Indonesia
Tri Jalmo Universitas Lampung, Indonesia
Dewi Lengkana Universitas Lampung, Indonesia
Hendri Noperi Universitas Islam Negeri Raden Intan Lampung, Indonesia
Antomi Saregar Universitas Islam Negeri Raden Intan Lampung, Indonesia
Fredi Ganda Putra Universitas Islam Negeri Raden Intan Lampung, Indonesia

DOI:

https://doi.org/10.58524/smartsociety.v6i1.942

Keywords:

Creative problem solving, Physics learning, PRISMA-E’xi learning model, School Context (Rural–Urban)

Abstract

This study investigates the effectiveness of the PRISMA-E’xi learning model—an instructional innovation that integrates a multi-representation approach with the Engineering Design Process (EDP) in a STEM framework—to enhance senior high school students’ creative problem-solving (CPS) skills in physics. Employing a quantitative quasi-experimental design with a nonequivalent control group, the research involved 350 students from five schools representing rural, suburban, and urban regions. Students in the experimental group (n = 175) received instruction using PRISMA-E’xi, while those in the control group (n = 175) experienced conventional teaching. CPS ability was assessed through pre- and posttests aligned with six indicators: objective finding, fact finding, problem finding, idea finding, solution finding, and acceptance finding. Data were analyzed using independent t-tests, effect size (Cohen’s d), one-way ANOVA, and MANOVA with prerequisite tests for normality and homogeneity. Results revealed a highly significant improvement in CPS for the experimental group (t(342) = 17.8, p < 0.001) with a large effect size (d = 1.92). One-way ANOVA indicated no significant differences in n-gain across regions (p = 0.707), and MANOVA confirmed a strong multivariate effect of the learning model (Pillai’s Trace = 0.5027, p < 0.001) on all CPS indicators without regional interaction effects. Each instructional syntax of PRISMA-E’xi—problem exploration, representation structuring, investigative reasoning, scientific modelling, model assessment, and adaptive reflection—was found to foster specific CPS indicators, supporting critical and creative thinking as well as adaptive reasoning. Guided reflection, multi-representation analysis, and iterative solution evaluation promoted deep conceptual understanding and transferable problem-solving skills. The findings demonstrate that PRISMA-E’xi is an effective, flexible, and equitable model for improving students’ creative problem solving in physics, independent of geographic context. Despite limitations related to the quasi-experimental design, limited duration, and sample scope, the study provides robust empirical evidence that PRISMA-E’xi can serve as a scalable and innovative framework for 21st-century competency-based science education. Future research should employ randomized or longitudinal designs and explore cross-disciplinary applications to strengthen external validity and long-term impact assessment.

References

Ainsworth, S. (2008). The Educational Value of Multiple-representations when Learning Complex Scientific Concepts. In J. K. Gilbert, M. Reiner, & M. Nakhleh (Eds.), Visualization: Theory and Practice in Science Education (pp. 191–208). Springer Netherlands. https://doi.org/10.1007/978-1-4020-5267-5_9

Alabbasi, A. M. A., Hafsyan, A. S. M., Runco, M. A., & AlSaleh, A. (2021). Problem Finding, Divergent Thinking, and Evaluative Thinking Among Gifted and Nongifted Students. 44(4), 398–413.

Álvarez-Huerta, P., Muela, A., & Larrea, I. (2022). Disposition toward critical thinking and creative confidence beliefs in higher education students: The mediating role of openness to diversity and challenge. Thinking Skills and Creativity, 43, 101003. https://doi.org/10.1016/j.tsc.2022.101003

Anggraeni, D. M., Prahani, B. K., Suprapto, N., Shofiyah, N., & Jatmiko, B. (2023). Systematic review of problem based learning research in fostering critical thinking skills. Thinking Skills and Creativity, 49, 101334. https://doi.org/10.1016/j.tsc.2023.101334

Ansari, B. I., Taufiq, T., & Saminan, S. (2020). The use of creative problem solving model to develop students’ adaptive reasoning ability: Inductive, deductive, and intuitive. International Journal on Teaching and Learning Mathematics, 3(1), Article 1. https://doi.org/10.18860/ijtlm.v3i1.9439

Arifin, Z., Sukarmin, Saputro, S., & Kamari, A. (2025). The effect of inquiry-based learning on students’ critical thinking skills in science education: A systematic review and meta-analysis. Eurasia Journal of Mathematics, Science and Technology Education, 21(3), em2592. https://doi.org/10.29333/ejmste/15988

AYTEKİN, A., & TOPÇU, M. S. (2024). Improving 6th Grade Students’ Creative Problem Solving Skills Through Plugged and Unplugged Computational Thinking Approaches. Journal of Science Education and Technology, 33(6), 867–891. https://doi.org/10.1007/s10956-024-10130-y

Banda, H. J., & Nzabahimana, J. (2021). Effect of integrating physics education technology simulations on students’ conceptual understanding in physics: A review of literature. Physical Review Physics Education Research, 17(2), 023108. https://doi.org/10.1103/PhysRevPhysEducRes.17.023108

Breuninger, J. (2023). Introduction to Statistics for HCI Using Jamovi: A course for HCI practitioners and researchers on inferential statistics and Jamovi, an open-source statistics software, comparable to IBM SPSS. Extended Abstracts of the 2023 CHI Conference on Human Factors in Computing Systems, 1–2. https://doi.org/10.1145/3544549.3574164

Busnawir, B., Kiri, M., & Dara, C. (2025). The Influence of STEM-Based Learning on Students’ Critical Thinking Skills. International Journal of Educational Narratives, 3(1), Article 1.

Çavuş, E., İdil, Ş., & Dönmez, İ. (2025). Effects of a design-based research approach on fourth-grade students’ critical thinking, problem-solving skills, computational thinking, and creativity self-efficacy. International Journal of Technology and Design Education. https://doi.org/10.1007/s10798-025-09989-8

Chen, P., & Chang, Y. C. (2021). Enhancing Creative Problem Solving in Postgraduate Courses of Education Management Using Project-Based Learning. International Journal of Higher Education, 10(6), Article 6. https://doi.org/10.5430/ijhe.v10n6p11

Chen, P., & Chang, Y.-C. (2024). Incorporating creative problem-solving skills to foster sustainability among graduate students in education management. Cleaner Production Letters, 7, 100082. https://doi.org/10.1016/j.clpl.2024.100082

Chusni, M. M., Saputro, S., Surant, S., & Rahardjo, S. B. (2022). Enhancing Critical Thinking Skills of Junior High School Students through Discovery-Based Multiple Representations Learning Model. International Journal of Instruction, 15(1), 927–945. https://doi.org/10.29333/iji.2022.15153a

Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences. Lawrence Erlbaum Associates.

Connolly, P., Keenan, C., & Urbanska, K. (2018). The trials of evidence-based practice in education: A systematic review of randomised controlled trials in education research 1980–2016. Educational Research, 60(3), 276–291. https://doi.org/10.1080/00131881.2018.1493353

Constantino, I., Kojaku, S., Fortunato, S., & Ahn, Y.-Y. (2025). Representing the disciplinary structure of physics: A comparative evaluation of graph and text embedding methods. Quantitative Science Studies, 6, 263–280. https://doi.org/10.1162/qss_a_00349

Cook, T. D., Campbell, D. T., & Shadish, W. (2002). Experimental and Quasi-Experimental Designs for Generalized Causal Inference (Vol. 1195). Houghton Mifflin Boston, MA.

Deehan, J., & MacDonald, A. (2023). Examining the Metropolitan and Non-metropolitan Educational Divide: Science Teaching Efficacy Beliefs and Teaching Practices of Australian Primary Science Educators. Research in Science Education, 53(5), 889–917. https://doi.org/10.1007/s11165-023-10113-w

Denny, M., Denieffe, S., & O’Sullivan, K. (2023). Non-equivalent Control Group Pretest–Posttest Design in Social and Behavioral Research. In A. L. Nichols & J. Edlund (Eds.), The Cambridge Handbook of Research Methods and Statistics for the Social and Behavioral Sciences: Volume 1: Building a Program of Research (pp. 314–332). Cambridge University Press. https://doi.org/10.1017/9781009010054.016

Diani, R., Herliantari, Hesti, Irwandani, I., Saregar, A., & Umam, Rofiqul. (2019). Search, Solve, Create, and Share (SSCS) Learning Model: The Impact on the Students Creative Problem-Solving Ability on the Concept of Substance Pressure. 9(1), 65–77.

Diani, R., Viyanti, V., Jalmo, T., Lengkana, D., & Erliana, I. (2025). Creative problem-solving assessment in fluid mechanics for senior high school students: Instrument validation and reliability analysis using the rasch model. Journal of Advanced Sciences and Mathematics Education, 5(1), 97–112. https://doi.org/10.58524/jasme.v5i1.558

Diani, R., Viyanti, V., Lengkana, D., Jalmo, T., Destiana, A., Saregar, A., & Putra, F. G. (2024). Trends, challenges, and opportunities of Multiple-Representation in Science learning: A systematic literature review. Review of Science, Mathematics and ICT Education, 18(1), Article 1. https://doi.org/10.26220/rev.4657

Diani, R., Yanti, Y., Hartati, N. S., Fujiani, D., Hasanah, I. F., & Alamsyah. (2021). Islamic Literacy-Based Physics E-Module with STEM (Science, Technology, Engineering, and Mathematics) Approach. Journal of Physics: Conference Series, 1796(1), 012098. https://doi.org/10.1088/1742-6596/1796/1/012098

Duflo, A., Kiessel, J., & Lucas, A. M. (2024). Experimental Evidence on Four Policies to Increase Learning at Scale. The Economic Journal, 134(661), 1985–2008. https://doi.org/10.1093/ej/ueae003

Eble, A., Frost, C., Camara, A., Bouy, B., Bah, M., Sivaraman, M., Hsieh, P.-T. J., Jayanty, C., Brady, T., Gawron, P., Vansteelandt, S., Boone, P., & Elbourne, D. (2021). How much can we remedy very low learning levels in rural parts of low-income countries? Impact and generalizability of a multi-pronged para-teacher intervention from a cluster-randomized trial in the Gambia. Journal of Development Economics, 148, 102539. https://doi.org/10.1016/j.jdeveco.2020.102539

ElSayary, A. (2021). Using a Reflective Practice Model to Teach STEM Education in a Blended Learning Environment. Eurasia Journal of Mathematics, Science and Technology Education, 17(2), em1942. https://doi.org/10.29333/ejmste/9699

Fiteriani, I., Diani, R., Hamidah, A., & Anwar, C. (2021). Project-based learning through STEM approach: Is it effective to improve students’ creative problem-solving ability and metacognitive skills in physics learning? Journal of Physics: Conference Series, 1796(1), 012058. https://doi.org/10.1088/1742-6596/1796/1/012058

Gutierrez-Berraondo, J., Iturbe-Zabalo, E., Arregi, N., & Guisasola, J. (2025). Influence on Students’ Learning in a Problem- and Project-Based Approach to Implement STEM Projects in Engineering Curriculum. Education Sciences, 15(5), Article 5. https://doi.org/10.3390/educsci15050534

Hallström, J., & Schönborn, K. J. (2019). Models and modelling for authentic STEM education: Reinforcing the argument. International Journal of STEM Education, 6(1), Article 1. https://doi.org/10.1186/s40594-019-0178-z

Heo, I., & Van de Schoot, R. (2020, November 2). Tutorial: Jamovi for beginners. https://doi.org/10.5281/zenodo.4008373

Hwang, W. Y., & Hu, S. S. (2013). Analysis of peer learning behaviors using multiple representations in virtual reality and their impacts on geometry problem solving. Computers and Education, 62(March), 308–319. https://doi.org/10.1016/j.compedu.2012.10.005

Jaciw, A. P., Unlu, F., & Nguyen, T. (2022). A Within-Study Approach to Evaluating the Role of Moderators of Impact in Limiting Generalizations from “Large to Small.” American Journal of Evaluation, 43(1), 108–131. https://doi.org/10.1177/10982140211030552

Kaldaras, L., & Wieman, C. (2025). Directed Self Guided Learning of Blended Math-Science Sensemaking for Historically Marginalized STEM Learners (arXiv:2503.19310). arXiv. https://doi.org/10.48550/arXiv.2503.19310

Keleş, T. (2022). Investigation of high school students’ creative problem-solving attributes. Journal of Pedagogical Research, 6(4), 66–83. https://doi.org/10.33902/JPR.202215433

Kotsis, K. T. (2024). The Significance of Experiments in Inquiry-based Science Teaching. European Journal of Education and Pedagogy, 5(2), Article 2. https://doi.org/10.24018/ejedu.2024.5.2.815

Krab-Hüsken, L. E., Pei, L., de Vries, P. G., Lindhoud, S., Paulusse, J. M. J., Jonkheijm, P., & Wong, A. S. Y. (2023). Conceptual Modeling Enables Systems Thinking in Sustainable Chemistry and Chemical Engineering. Journal of Chemical Education, 100(12), 4577–4584. https://doi.org/10.1021/acs.jchemed.3c00337

Lee, J., & Didiş Körhasan, N. (2022). Effect of group type on group performance in peer-collaborated two-round physics problem solving. Physical Review Physics Education Research, 18(2), 020112. https://doi.org/10.1103/PhysRevPhysEducRes.18.020112

Li, S., & Yu, S. (2025). Transforming higher education for the knowledge economy: Enhancing creative thinking and problem-solving skills through collaborative learning. Thinking Skills and Creativity, 57, 101853. https://doi.org/10.1016/j.tsc.2025.101853

Lichtenberger, A., Kokkonen, T., & Schalk, L. (2024). Learning with multiple external representations in physics: Concreteness fading versus simultaneous presentation. Journal of Research in Science Teaching, 61(9), 2258–2290. https://doi.org/10.1002/tea.21947

Lim, C., & Han, H. (2020). Development of instructional design strategies for integrating an online support system for creative problem solving into a University course. Asia Pacific Education Review, 21(4), 539–552. https://doi.org/10.1007/s12564-020-09638-w

Lin, Y.-N., Hsia, L.-H., & Hwang, G.-J. (2025). Developing students’ creative problem-solving strategies in the context of blended sports education. British Journal of Educational Technology, 56(1), 190–207. https://doi.org/10.1111/bjet.13495

Mason, A. J., & Singh, C. (2016). Impact of guided reflection with peers on the development of effective problem solving strategies and physics learning. https://doi.org/10.1119/1.4947159

Muhamad Dah, N., Mat Noor, M. S. A., Kamarudin, M. Z., & Syed Abdul Azziz, S. S. (2024). The impacts of open inquiry on students’ learning in science: A systematic literature review. Educational Research Review, 43, 100601. https://doi.org/10.1016/j.edurev.2024.100601

Muin, A., Hanifah, S. H., & Diwidian, F. (2018). The effect of creative problem solving on students’ mathematical adaptive reasoning. Journal of Physics: Conference Series, 948(1), 012001. https://doi.org/10.1088/1742-6596/948/1/012001

Muñoz Alvarez, G., Greca, I. M., & Arriassecq, I. (2025). Problem-Based Learning as a Strategy for Teaching Physics in Technical–Professional Higher Education: A Case Study in Chile. Education Sciences, 15(8), Article 8. https://doi.org/10.3390/educsci15080941

Murphy, S. (2023). Leadership practices contributing to STEM education success at three rural Australian schools. The Australian Educational Researcher, 50(4), 1049–1067. https://doi.org/10.1007/s13384-022-00541-4

Murwaningsih, T., & Fauziah, M. (2020). The Effectiveness of Creative Problem Solving (CPS) Learning Model on Divergent Thinking Skills. International Journal of Science and Applied Science: Conference Series, 4(1), Article 1. https://doi.org/10.20961/ijsascs.v4i1.49460

Mustafa, F., Nguyen, H. T. M., & Gao, X. (Andy). (2024). The challenges and solutions of technology integration in rural schools: A systematic literature review. International Journal of Educational Research, 126, 102380. https://doi.org/10.1016/j.ijer.2024.102380

Nguyện, L. C., Hoa, H. Q., & Hien, L. H. P. (2025). Integrating design thinking into STEM education: Enhancing problem-solving skills of high school students. Eurasia Journal of Mathematics, Science and Technology Education, 21(4), em2611. https://doi.org/10.29333/ejmste/16084

Nurrijal, Setyosari, P., Kuswandi, D., & Ulfa, S. (2023). Creative Problem Solving Process Instructional Design in the Context of Blended Learning in Higher Education. Electronic Journal of E-Learning, 21(2), Article 2. https://doi.org/10.34190/ejel.21.2.2653

Orulebaja, Y., Owolabi, O., & Akintoye, H. (2021). Effects of Multiple representations and Problem- solving learning strategies on Physics students’ problem-solving abilities. International Journal for Innovation Education and Research, 9, 350–365. https://doi.org/10.31686/ijier.vol9.iss4.3045

Pedaste, M., Mäeots, M., Siiman, L. A., de Jong, T., van Riesen, S. A. N., Kamp, E. T., Manoli, C. C., Zacharia, Z. C., & Tsourlidaki, E. (2015). Phases of inquiry-based learning: Definitions and the inquiry cycle. Educational Research Review, 14, 47–61. https://doi.org/10.1016/j.edurev.2015.02.003

Phillips, J. A., McCallum, J. E., Clemmer, K. W., & Zachariah, T. M. (2016). A Problem-Solving Framework to Assist Students and Teachers in STEM Courses (arXiv:1607.07853). arXiv. https://doi.org/10.48550/arXiv.1607.07853

Polanin, J. R., Austin, M., Taylor, J. A., Steingut, R. R., Rodgers, M. A., & Williams, R. (2024). Effects of the 5E Instructional Model: A Systematic Review and Meta-Analysis. AERA Open, 10, 23328584241269866. https://doi.org/10.1177/23328584241269866

Richardson, J. T. E. (2011). Eta squared and partial eta squared as measures of effect size in educational research. Educational Research Review, 6(2), 135–147. https://doi.org/10.1016/j.edurev.2010.12.001

Ritter, S. M., & Mostert, N. (2017). Enhancement of Creative Thinking Skills Using a Cognitive-Based Creativity Training. Journal of Cognitive Enhancement, 1(3), 243–253. https://doi.org/10.1007/s41465-016-0002-3

Rojas Apaza, R., Paredes, R. P., Arpi, R., Quispe Lino, C. N., & Chura-Zea, E. (2024). Urban-rural gap in education performance in Peruvian public institutions during 2018: An analysis using the Oaxaca-Blinder decomposition. Frontiers in Education, 9. https://doi.org/10.3389/feduc.2024.1394938

Rosengrant, D. (2006). Case Study: Students’ Use of Multiple Representations in Problem Solving. AIP Conference Proceedings, 818, 49–52. https://doi.org/10.1063/1.2177020

Ryan, A., Prieto-Rodriguez, E., Miller, A., & Gore, J. (2024). What can Implementation Science tell us about scaling interventions in school settings? A scoping review. Educational Research Review, 44, 100620. https://doi.org/10.1016/j.edurev.2024.100620

Shepherd, M. A., & Richardson, E. J. (2024). Opting for open-source? A review of free statistical software programs. Teaching Statistics, 46(1), 53–63. https://doi.org/10.1111/test.12360

Siantuba, J., Nkhata, L., & de Jong, T. (2023). The impact of an online inquiry-based learning environment addressing misconceptions on students’ performance. Smart Learning Environments, 10(1), 22. https://doi.org/10.1186/s40561-023-00236-y

Sirnoorkar, A., Bergeron, P. D. O., & Laverty, J. T. (2023). Sensemaking and scientific modeling: Intertwined processes analyzed in the context of physics problem solving. Physical Review Physics Education Research, 19(1), 010118. https://doi.org/10.1103/PhysRevPhysEducRes.19.010118

Sirnoorkar, A., & Laverty, J. T. (2023). Theoretical exploration of task features that facilitate student sensemaking in physics (arXiv:2302.11478). arXiv. https://doi.org/10.48550/arXiv.2302.11478

Strat, T. T. S., Henriksen, E. K., & Jegstad, K. M. (2024). Inquiry-based science education in science teacher education: A systematic review. Studies in Science Education. https://www.tandfonline.com/doi/abs/10.1080/03057267.2023.2207148

Subramaniam, R. C., Borse, N., Allen, W., Sirnoorkar, A., Morphew, J. W., Rebello, C. M., & Rebello, N. S. (2025). Applying a STEM Ways of Thinking Framework for Student-generated Engineering Design-based Physics Problems (arXiv:2503.05957). arXiv. https://doi.org/10.48550/arXiv.2503.05957

Sulistiani, Suyatna, A., & Rosidin, U. (2024). Pembelajaran Berdiferensiasi Berbantuan LKPD Bermuatan STEM pada Materi Energi Alternatif untuk Meningkatkan Keterampilan Proses Sains dan Creative Problem Solving. Jurnal Penelitian Pendidikan IPA, 10(1), Article 1. https://doi.org/10.29303/jppipa.v10i1.5253

Sun, M., Wang, M., & Wegerif, R. (2020). Effects of divergent thinking training on students’ scientific creativity: The impact of individual creative potential and domain knowledge. Thinking Skills and Creativity, 37, 100682. https://doi.org/10.1016/j.tsc.2020.100682

Tan, C. Y. (2024). Socioeconomic Status and Student Learning: Insights from an Umbrella Review. Educational Psychology Review, 36(4), 100. https://doi.org/10.1007/s10648-024-09929-3

Thornhill-Miller, B., Camarda, A., Mercier, M., Burkhardt, J.-M., Morisseau, T., Bourgeois-Bougrine, S., Vinchon, F., El Hayek, S., Augereau-Landais, M., Mourey, F., Feybesse, C., Sundquist, D., & Lubart, T. (2023). Creativity, Critical Thinking, Communication, and Collaboration: Assessment, Certification, and Promotion of 21st Century Skills for the Future of Work and Education. Journal of Intelligence, 11(3), 54. https://doi.org/10.3390/jintelligence11030054

Winarto, W., Cahyono, E., Sumarni, W., Sulhadi, S., Wahyuni, S., & Sarwi, S. (2022). Science Teaching Approach Ethno-SETSaR to improve pre-service teachers’ creative thinking and problem solving skills. Journal of Technology and Science Education, 12(2), Article 2. https://doi.org/10.3926/jotse.1367

Woods, P. J., & Copur-Gencturk, Y. (2024). Examining the role of student-centered versus teacher-centered pedagogical approaches to self-directed learning through teaching. Teaching and Teacher Education, 138, 104415. https://doi.org/10.1016/j.tate.2023.104415

Zahl-Thanem, A., & Rye, J. F. (2024). Spatial inequality in higher education: A growing urban–rural educational gap? European Sociological Review, 40(6), 1067–1081. https://doi.org/10.1093/esr/jcae015

Zhai, N., Huang, Y., Ma, X., & Chen, J. (2023). Can reflective interventions improve students’ academic achievement? A meta-analysis. Thinking Skills and Creativity, 49, 101373. https://doi.org/10.1016/j.tsc.2023.101373

Zhang, L., & Ma, Y. (2023). A study of the impact of project-based learning on student learning effects: A meta-analysis study. Frontiers in Psychology, 14. https://doi.org/10.3389/fpsyg.2023.1202728

Zhao, L., Cao, C., Li, Y., & Li, Y. (2022). Determinants of the digital outcome divide in E-learning between rural and urban students: Empirical evidence from the COVID-19 pandemic based on capital theory. Computers in Human Behavior, 130, 107177. https://doi.org/10.1016/j.chb.2021.107177

Zuhri, R. S., Wilujeng, I., & Haryanto. (2023). Multiple Representation Approach in Elementary School Science Learning: A Systematic Literature Review. International Journal of Learning, Teaching and Educational Research, 22(3), Article 3.