STEM-integrated project-based learning: Students’ critical thinking skills in trigonometry

Authors

  • Kristoforus Nofenaris Agung Universitas Timor, Indonesia
  • Meiva Marthaulina Lestari Siahaan Universitas Timor, Indonesia
  • Rika Handayani Universitas Timor, Indonesia
  • Lailin Hijriani Universitas Timor, Indonesia

DOI:

https://doi.org/10.58524/jasme.v6i1.972

Keywords:

Critical Thinking Skills, Mixed-Method Research, Project-Based Learning, STEM-Integrated Learning, Trigonometry

Abstract

Background: This study was motivated by the importance of critical thinking skill in solving problem and making the decision. In addition, low level of students’ critical thinking skills issue in mathematics learning, particularly in trigonometry

Aims: To address this issue, a STEM-integrated Project-Based Learning (PjBL-STEM) model was implemented.

Method: This study employed a mixed-method approach combining quantitative and qualitative data. The sample consisted of 50 tenth-grade students at SMA Negeri Manufui, divided into an experimental class; 25 students and a control class; 25 students. Data were collected through a critical thinking skills test, student response questionnaires, and interviews.

Results: The results of the independent samples t-test showed a significant difference between the experimental and control classes (Sig. = 0.001 < 0.05). The mean posttest score of the experimental class (52.83) was higher than that of the control class (45.33). The N-Gain analysis indicated a low improvement category in both classes; however, the experimental class (26.29%) showed a higher increase compared to the control class (4.50%). Student responses toward the PjBL-STEM implementation were highly positive, with more than 90% agreement. Qualitative findings revealed that project-based experiences helped students recall concepts, identify reasoning errors, and reflect on problem-solving processes.

Conclusion: STEM-integrated PjBL model was effective in improving students’ critical thinking skills and fostering active, collaborative, and meaningful learning. Continuous implementation supported by structured guidance and critical thinking exercises is recommended to achieve more optimal learning outcomes.

References

Bağ, H. K., & Gürsoy, E. (2021). The Effect of Critical Thinking Embedded English Course Design to The Improvement of Critical Thinking Skills of Secondary School Learners✰. Thinking Skills and Creativity, 41, 100910. https://doi.org/10.1016/j.tsc.2021.100910

Borghi, A. M., Shaki, S., & Fischer, M. H. (2022). Abstract concepts: External influences, internal constraints, and methodological issues. Psychological Research, 86(8), 2370–2388. https://doi.org/10.1007/s00426-022-01698-4

Canonigo, A. M. (2025). Enhancing Instruction in Trigonometry: Insights from Students’ Reasoning Approaches and Processes. Mathematics Teaching Research Journal, 17(3), 120–153.

Chang, Y., Choi, J., & Şen-Akbulut, M. (2024). Undergraduate students’ engagement in project-based learning with an authentic context. Education Sciences, 14(2), 168. https://doi.org/10.3390/educsci14020168

Culver, K. C., Braxton, J., & Pascarella, E. (2019). Does teaching rigorously really enhance undergraduates’ intellectual development? The relationship of academic rigor with critical thinking skills and lifelong learning motivations. Higher Education, 78(4), 611-627. https://doi.org/10.1007/s10734-019-00361-z

Diefenderfer, H. L., Steyer, G. D., Harwell, M. C., LoSchiavo, A. J., Neckles, H. A., Burdick, D. M., Johnson, G. E., Buenau, K. E., Trujillo, E., Callaway, J. C., Thom, R. M., Ganju, N. K., & Twilley, R. R. (2021). Applying cumulative effects to strategically advance large-scale ecosystem restoration. Frontiers in Ecology and the Environment, 19(2), 108–117. https://doi.org/10.1002/fee.2274

Ferede, A. T., Ayele, M. A., Mihrka, A. A., & Arara, A. A. (2025). The impact of contextualized teaching and learning approach on students’ conceptual understanding of trigonometry. Teaching Mathematics and Its Applications: An International Journal of the IMA, hraf008. https://doi.org/10.1093/teamat/hraf008

Hussein, B. (2021). Addressing Collaboration Challenges in Project-Based Learning: The Student’s Perspective. Education Sciences, 11(8), 434. https://doi.org/10.3390/educsci11080434

Imran, M., & Almusharraf, N. (2024). Google Gemini as a next generation AI educational tool: A review of emerging educational technology. Smart Learning Environments, 11(1), 22. https://doi.org/10.1186/s40561-024-00310-z

Karaoglan Yilmaz, F. G., & Yilmaz, R. (2022). Learning Analytics Intervention Improves Students’ Engagement in Online Learning. Technology, Knowledge and Learning, 27(2), 449–460. https://doi.org/10.1007/s10758-021-09547-w

Klieger, A. (2026). Aligning STEM education with industry needs: Strategies to bridge the skills gap. Industry and Higher Education, 09504222261418077. https://doi.org/10.1177/09504222261418077

La Braca, F., & Kalman, C. S. (2021). Comparison of labatorials and traditional labs: The impacts of instructional scaffolding on the student experience and conceptual understanding. Physical Review Physics Education Research, 17(1), 010131. https://doi.org/10.1103/PhysRevPhysEducRes.17.010131

Le, H. C., Nguyen, V. H., & Nguyen, T. L. (2023). Integrated STEM approaches and associated outcomes of K-12 student learning: A systematic review. Education Sciences, 13(3), 297. https://doi.org/10.3390/educsci13030297

Marshall, T., Keville, S., Cain, A., & Adler, J. R. (2022). Facilitating reflection: A review and synthesis of the factors enabling effective facilitation of reflective practice. Reflective Practice, 23(4), 483–496. https://doi.org/10.1080/14623943.2022.2064444

Mystakidis, S., Christopoulos, A., & Pellas, N. (2022). A systematic mapping review of augmented reality applications to support STEM learning in higher education. Education and Information Technologies, 27(2), 1883–1927. https://doi.org/10.1007/s10639-021-10682-1

Neumann, T. (2021). Does it pay for new firms to be green? An empirical analysis of when and how different greening strategies affect the performance of new firms. Journal of Cleaner Production, 317, 128403. https://doi.org/10.1016/j.jclepro.2021.128403

Nussbaum, E. M. (2021). Critical integrative argumentation: Toward complexity in students’ thinking. Educational Psychologist, 56(1), 1–17. https://doi.org/10.1080/00461520.2020.1845173

Obeng, B. A., Banson, G. M., Owusu, E., & Owusu, R. (2024). Analysis of senior high school students’ errors in solving trigonometry. Cogent Education, 11(1), 2385119. https://doi.org/10.1080/2331186X.2024.2385119

Osakwe, I., Chen, G., Fan, Y., Rakovic, M., Singh, S., Lim, L., van der Graaf, J., Moore, J., Molenaar, I., Bannert, M., Whitelock-Wainwright, A., & Gašević, D. (2024). Towards prescriptive analytics of self-regulated learning strategies: A reinforcement learning approach. British Journal of Educational Technology, 55(4), 1747–1771. https://doi.org/10.1111/bjet.13429

Owusu, R., Bonyah ,Ebenezer, & and Arthur, Y. D. (2023). The Effect of GeoGebra on University Students’ Understanding of Polar Coordinates. Cogent Education, 10(1), 2177050. https://doi.org/10.1080/2331186X.2023.2177050

Romero Ariza, M., Quesada Armenteros, A., & Estepa Castro, A. (2024). Promoting critical thinking through mathematics and science teacher education: The case of argumentation and graphs interpretation about climate change. European Journal of Teacher Education, 47(1), 41–59. https://doi.org/10.1080/02619768.2021.1961736

Shvarts, A. (2025). From Movement to Mathematics: A Systemic Theory of Higher Order Cognition and Its Development. Human Development, 302–327. https://doi.org/10.1159/000548604

Sun, Z., & Theussen, A. (2023). Assessing negotiation skill and its development in an online collaborative simulation game: A social network analysis study. British Journal of Educational Technology, 54(1), 222–246. https://doi.org/10.1111/bjet.13263

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

Ubah, I. (2022). Pre-service mathematics teachers’ semiotic transformation of similar triangles: Euclidean geometry. International Journal of Mathematical Education in Science and Technology, 53(8), 2004–2025. https://doi.org/10.1080/0020739X.2020.1857858

Umam, K., & Susandi, A. D. (2022). Critical Thinking Skills: Error Identifications on Students’ with APOS Theory. International Journal of Evaluation and Research in Education, 11(1), 182–192.

van Loon, M., & Laninga-Wijnen, L. (2025). A short-term longitudinal study linking adolescents’ metacognition, learning, and social friendship networks. Journal of Research on Adolescence, 35(3), e70072. https://doi.org/10.1111/jora.70072

Wijnia, L., Noordzij, G., Arends, L. R., Rikers, R. M. J. P., & Loyens, S. M. M. (2024). The Effects of Problem-Based, Project-Based, and Case-Based Learning on Students’ Motivation: A Meta-Analysis. Educational Psychology Review, 36(1), 29. https://doi.org/10.1007/s10648-024-09864-3

Williamson, E. (2023). The effectiveness of project-based learning in developing critical thinking skills among high school students. European Journal of Education, 1(1), 1-11.

Wipulanusat, W., Panuwatwanich, K., Stewart, R. A., & Sunkpho, J. (2020, March). Applying mixed methods sequential explanatory design to innovation management. In The 10th International Conference on Engineering, Project, and Production Management (pp. 485-495). Singapore: Springer Singapore. https://doi.org/10.1007/978-981-15-1910-9_40

Zeynivandnezhad, F., Saralar-Aras, I., & Halai, A. (2024). A refined framework for qualitative content analysis of mathematics textbooks. Eurasia Journal of Mathematics, Science and Technology Education, 20(3), em2412. https://doi.org/10.29333/ejmste/14284

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Published

2026-02-17