STEM-Based Teaching Module with a Realistic Mathematics Education Approach to Improve Critical Thinking Skills among Vocational High School Students in an Automotive Engineering Program

Kadir Alpan Alaydrus; Sutarto Sutarto; Saiful Prayogi

doi:10.33394/j-ps.v14i3.21001

Authors

Kadir Alpan Alaydrus Universitas Pendidikan Mandalika
Sutarto Sutarto Universitas Pendidikan Mandalika
Saiful Prayogi (Scopus ID: 57195518514); Department of Science Education, Universitas Pendidikan Mandalika

DOI:

https://doi.org/10.33394/j-ps.v14i3.21001

Keywords:

Realistic mathematics education, Critical thinking, STEM education, Vocational education, Automotive engineering

Abstract

This study aimed to examine the effectiveness of a STEM-based teaching module with a Realistic Mathematics Education (RME) approach in improving the critical thinking skills of vocational high school students in the Automotive Engineering Expertise Program. The study employed a mixed-methods approach with an explanatory sequential design. The quantitative phase was conducted through a quasi-experiment using a pretest-posttest control group design, while the qualitative phase was conducted through semi-structured interviews with mathematics teachers. The participants were 62 eleventh-grade Motorcycle Engineering students at SMK Negeri 1 Pringgabaya, consisting of 31 students in the experimental group and 31 students in the control group. The experimental group received instruction using the STEM-RME-based teaching module, whereas the control group received expository instruction. The quantitative instrument was a written test consisting of 15 multiple-choice items and 5 open-ended questions. The data were analyzed using descriptive statistics, gain scores, N-Gain, paired-samples t-test, independent-samples t-test, mixed-design ANOVA, and thematic analysis. The results showed that the mean score of the experimental group increased from 22.39 to 28.97, while that of the control group increased from 22.23 to 24.87. The mean N-Gain of the experimental group was 0.53, categorized as moderate, whereas that of the control group was 0.20, categorized as low. The paired-samples t-test showed a significant improvement in the experimental group, t(30) = 27.95, p < 0.001, and in the control group, t(30) = 7.52, p < 0.001. The independent-samples t-test showed significant differences in the posttest score, t(56.81) = 11.20, p < 0.001, gain score, t(60) = 9.30, p < 0.001, and N-Gain, t(60) = 9.64, p < 0.001. The mixed-design ANOVA revealed a significant time × group interaction, F(1,60) = 86.43, p < 0.001. The teacher interview findings indicated that students found it easier to understand mathematical concepts when the material was connected to automotive contexts, such as wheels, tires, rims, disc brakes, gears, sprockets, pulleys, and tangent lines on vehicle components. The teachers also emphasized that real-life contexts, teaching aids, modeling, discussion, and visualization helped students overcome difficulties in visualizing geometry and encouraged them to provide reasoning and check the reasonableness of their answers. Thus, the STEM-RME-based teaching module was effective in improving students’ critical thinking skills.

Author Biography

Saiful Prayogi, (Scopus ID: 57195518514); Department of Science Education, Universitas Pendidikan Mandalika

Scopus ID: 57195518514

References

Akcan, A., Yıldırım, B., Karataş, A., & Yilmaz, M. (2023). Teachers’ views on the effect of STEM education on the labor market. Frontiers in Psychology, 14. https://doi.org/10.3389/fpsyg.2023.1184730

Akmal, A., Ambiyar, A., Usmeldi, U., & Fadillah, R. (2025). Developing and assessing the impact of an integrated STEM project-based learning model in vocational education for enhanced competence and employability. Salud, Ciencia y Tecnología, 5, 1786. https://doi.org/10.56294/saludcyt20251786

Anwar, C., & Sudira, P. (2022). Literacy of vocational high school teachers majoring in automotive light vehicle engineering: The need for essential skills in the industrial revolution 4.0. Journal of Education Technology, 6(4), 625–633. https://doi.org/10.23887/jet.v6i4.46580

Atkins, L. (2023). Teaching and learning employability skills: Industry, educator, and student perspectives, by Will Tyson. Palgrave Macmillian, 2020. 180 pp., hardcover, ISBN‐13: 978‐3030587437. Sociological Inquiry, 93(4), 877–880. https://doi.org/10.1111/soin.12532

Aunzo, R. (2024). Advancing sustainable development goals with educational technology (pp. 65–98). https://doi.org/10.4018/979-8-3693-8242-4.ch003

Bal, N., & Kapucu, M. (2022). The effect of realistic mathematics education activities applied in secondary school 7th grade mathematics education on the development of life skills. The Eurasia Proceedings of Educational and Social Sciences, 25, 113–122. https://doi.org/10.55549/epess.1218207

Bentley, B., Sieben, R., & Unsworth, P. (2022). STEM education in Australia: Impediments and solutions in achieving a STEM-ready workforce. Education Sciences, 12(10), 730. https://doi.org/10.3390/educsci12100730

Bloomberg, L. (2024). Re-aligning higher education and employability: Stackable skills are the new currency as online education paves the way, 7(1). https://doi.org/10.65201/001c.141602

Butler, H. (2024). Predicting everyday critical thinking: A review of critical thinking assessments. Journal of Intelligence, 12(2), 16. https://doi.org/10.3390/jintelligence12020016

Carpi, A., Ronan, D., Falconer, H., & Lents, N. (2016). Cultivating minority scientists: Undergraduate research increases self-efficacy and career ambitions for underrepresented students in STEM. Journal of Research in Science Teaching, 54(2), 169–194. https://doi.org/10.1002/tea.21341

Damayanti, R., Yuliati, Y., & Kholifah, S. (2023). Can improving soft skills increase women’s employment in STEM? Devotion Journal of Research and Community Service, 4(10), 2026–2036. https://doi.org/10.59188/devotion.v4i10.574

Edo, S., & Tasik, W. (2019). Design research on applied realistic mathematics education (RME) approach in teaching math for vocational college. Jurnal Pendidikan Vokasi, 9(3), 294–306. https://doi.org/10.21831/jpv.v9i3.27839

Fathoni, A. (2020). STEM: Innovation in vocational learning. Jurnal Pendidikan Teknologi dan Kejuruan, 17(1), 33. https://doi.org/10.23887/jptk-undiksha.v17i1.22832

Fauzan, A., Musdi, E., & Yani, R. (2018). The influence of realistic mathematics education (RME) approach on students’ mathematical representation ability. https://doi.org/10.2991/icei-17.2018.3

FitzSimons, G. (2014). Commentary on vocational mathematics education: Where mathematics education confronts the realities of people’s work. Educational Studies in Mathematics, 86(2), 291–305. https://doi.org/10.1007/s10649-014-9556-0

Friedmann, E. (2018). Increasing women’s participation in the STEM industry. Journal of Social Marketing, 8(4), 442–460. https://doi.org/10.1108/JSOCM-12-2017-0086

Ghafara, S., Ambiyar, A., Giatman, M., Jalinus, N., Rizal, F., & Fadhilah, F. (2025). Development of an Android-assisted STEAM-based project-based learning model in informatics subjects at vocational high schools. Salud, Ciencia y Tecnología, 5, 1826. https://doi.org/10.56294/saludcyt20251826

Haapala, K., Raoufi, K., Kim, K., Orazem, P., Houck, C., Johnson, M., … Ward, K. (2023). Prioritizing actions and outcomes for community-based future manufacturing workforce development and education. Journal of Integrated Design and Process Science, 26(3–4), 415–441. https://doi.org/10.3233/jid-220007

Huhtala, M. (2023). Educational requirements for aviation and automotive engineering. U Porto Journal of Engineering, 9(1), 160–176. https://doi.org/10.24840/2183-6493_009-001_001396

Idris, R., & Bacotang, J. (2023). Exploring STEM education trends in Malaysia: Building a talent pool for Industrial Revolution 4.0 and Society 5.0. International Journal of Academic Research in Progressive Education and Development, 12(2). https://doi.org/10.6007/ijarped/v12-i2/16825

Karimi, H., & Piña, A. (2021). Strategically addressing the soft skills gap among STEM undergraduates. Journal of Research in STEM Education, 7(1), 21–46. https://doi.org/10.51355/jstem.2021.99

Kelly, J., Gielstra, D., Oberding, T., Bruno, J., & Hadley, S. (2023). Uniting academia and industry to bridge the skills gap: Incorporating industry advisory councils in curriculum-to-careers programmatic mapping in undergraduate environmental science programs. Industry and Higher Education, 38(2), 112–123. https://doi.org/10.1177/09504222231175413

Komura, K. (2018). Professional masters’ STEM graduate education programs to develop a business-savvy workforce (pp. 815–829). https://doi.org/10.4018/978-1-5225-3153-1.ch042

Kurniawan, R., Jaedun, A., Mutohhari, F., & Kusuma, W. (2021). The absorption of vocational education graduates in the automotive sector in the industrial world. Journal of Education Technology, 5(3). https://doi.org/10.23887/jet.v5i3.35365

Lim, C., & Wong, W. (2025). Enhancing automotive engineering education in vocational schools through virtual reality. https://doi.org/10.1117/12.3066245

Melawati, Y., Rochmiyati, R., & Nurhanurawati, N. (2022). A needs analysis of HOTS-based assessment instruments for elementary school mathematics learning. Asian Journal of Educational Technology, 1(2), 90–95. https://doi.org/10.53402/ajet.v1i2.41

Meri, E., Navas, A., & Malo, E. (2023). “If she can, all of you can”: Violence as a restoration of the male mandate in vocational education training. Societies, 13(10), 218. https://doi.org/10.3390/soc13100218

Morales‐Doyle, D. (2017). Students as curriculum critics: Standpoints with respect to relevance, goals, and science. Journal of Research in Science Teaching, 55(5), 749–773. https://doi.org/10.1002/tea.21438

Nguyen, T., Thảo, T., Ngo, H., Hoang, N., Tran, T., Pham, H., … Bui, V. (2020). Realistic mathematics education in Vietnam: Recent policies and practices. International Journal of Education and Practice, 8(1), 57–71. https://doi.org/10.18488/journal.61.2020.81.57.71

Onwusa, S., & Asuai, P. (2025). Bridging vocational and technical education with industry needs: Advancing careers and sustainability in automobile technology. DJERD, 22(1), 286–303. https://doi.org/10.61448/djerd22127

Osatis, C., & Asavanirandorn, C. (2022). An exploring human resource development in small and medium enterprises in response to electric vehicle industry development. World Electric Vehicle Journal, 13(6), 98. https://doi.org/10.3390/wevj13060098

O’Dea, M., Cosby, A., Manning, J., McDonald, N., & Harreveld, B. (2024). Rural research and development corporations’ connection to agricultural industry–school partnerships. Education Sciences, 14(3), 271. https://doi.org/10.3390/educsci14030271

Parilla, E., & Evangelista, J. (2025). From campus to career: A qualitative exploration of graduate employability and workforce readiness in Ilocos Norte. Advanced Qualitative Research, 3(1), 62–77. https://doi.org/10.31098/aqr.v3i1.2818

Perez‐Felkner, L., Gholami, Z., & Xian-feng, W. (2025). Public financing of STEM education: Research evidence and policy recommendations. Policy Insights from the Behavioral and Brain Sciences, 12(2), 177–185. https://doi.org/10.1177/23727322251360330

Rosvall, P., Hjelmér, C., & Lappalainen, S. (2016). Staying in the comfort zones: Low expectations in vocational education and training mathematics teaching in Sweden and Finland. European Educational Research Journal, 16(4), 425–439. https://doi.org/10.1177/1474904116669154

Rothman, M., & Sisman, R. (2016). Internship impact on career consideration among business students. Education + Training, 58(9), 1003–1013. https://doi.org/10.1108/ET-04-2015-0027

Rulyansah, A. (2023). The perceptions of critical thinking and inclusive practice among primary school teachers. Jurnal Basicedu, 7(1), 171–188. https://doi.org/10.31004/basicedu.v7i1.4593

Siregar, R., Suryadi, D., Prabawanto, S., & Mujib, A. (2022). Improving student learning: Mathematical reasoning ability through a realistic mathematic education. Aksioma: Jurnal Program Studi Pendidikan Matematika, 11(4), 2698. https://doi.org/10.24127/ajpm.v11i4.6250

Sterling, A., Thompson, M., Wang, S., Kusimo, A., Gilmartin, S., & Sheppard, S. (2020). The confidence gap predicts the gender pay gap among STEM graduates. Proceedings of the National Academy of Sciences, 117(48), 30303–30308. https://doi.org/10.1073/pnas.2010269117

Sugiarto, T., Zalinus, N., Refdinal, R., Purwanto, W., & Arif, A. (2022). Kompetensi lulusan SMK program studi teknik otomotif sesuai dengan tuntutan revolusi industri 4.0: Kajian literatur. AEEJ Journal of Automotive Engineering and Vocational Education, 3(2), 131–138. https://doi.org/10.24036/aeej.v3i2.158

Suwanto, F., Wijaya, A., Aprisal, A, Fauzi, A., & Tobondo, Y. (2023). Realistic mathematics textbook toward the students’ mathematical generalization skills. Mosharafa: Jurnal Pendidikan Matematika, 12(2), 291–300. https://doi.org/10.31980/mosharafa.v12i2.784

Suyitno, S., Kamin, Y., Jatmoko, D., Nurtanto, M., & Sunjayanto, E. (2022). Industrial apprenticeship model based on work-based learning for pre-service teachers in automotive engineering. Frontiers in Education, 7. https://doi.org/10.3389/feduc.2022.865064

Swafford, M. (2018). STEM education at the nexus of the 3-circle model. Journal of Agricultural Education, 59(1), 297–315. https://doi.org/10.5032/jae.2018.01297

Tafakur, T., Hadi, S., Arifin, Z., & Munadi, S. (2024). The role of industrial internships in developing work self-efficacy for automotive engineering students. Journal of Technical Education and Training, 16(2). https://doi.org/10.30880/jtet.2024.16.02.006

Tsakeni, M. (2022). STEM education practical work in remote classrooms: Prospects and future directions in the post-pandemic era. Journal of Culture and Values in Education, 5(1), 144–167. https://doi.org/10.46303/jcve.2022.11

Villán-Vallejo, A., Zitouni, A., García-Llamas, P., Fernández‐Raga, M., Suárez-Corona, A., & Álvarez, R. (2022). Soft skills and STEM education: Vision of the European university EURECA-PRO. BHM Berg- und Hüttenmännische Monatshefte, 167(10), 485–488. https://doi.org/10.1007/s00501-022-01275-7

Wagino, W. (2025). Enhancing vocational teacher competencies and student critical thinking through digital technology integration in hydraulic and pneumatic systems training. Community Empowerment, 10(9), 1880–1885. https://doi.org/10.31603/ce.14798

Wannapiroon, P., Nilsook, P., Techakosit, S., & Kamkhuntod, S. (2021). STEM literacy of students in vocational education. International Journal of Technology in Education and Science, 5(4), 527–549. https://doi.org/10.46328/ijtes.253

Warsito, W., Siregar, N., Gumilar, A., & Rosli, R. (2023). STEM for the 21st century: Building a stronger workforce for the digital age. Mosharafa: Jurnal Pendidikan Matematika, 12(4), 879–894. https://doi.org/10.31980/mosharafa.v12i4.1199

Yao, C., & Tuliao, M. (2019). Soft skill development for employability. Higher Education, Skills and Work-Based Learning, 9(3), 250–263. https://doi.org/10.1108/HESWBL-03-2018-0027

Yuan, X., & Zainudin, Z. (2025). Integrating career planning and guidance to foster career readiness: A conceptual perspective on student development. Journal of Digitainability Realism & Mastery (DREAM), 4(05), 8–26. https://doi.org/10.56982/dream.v4i05.310

Zakaria, E., & Syamaun, M. (2017). The effect of realistic mathematics education approach on students’ achievement and attitudes towards mathematics. Mathematics Education Trends and Research, 2017(1), 32–40. https://doi.org/10.5899/2017/metr-00093

Zavala-Parrales, A., Meléndez-Anzures, F., Peréz-Suarez, S., & Domínguez, Á. (2025). Driving gender equality in the automotive industry: A review of educational strategies. Frontiers in Education, 10. https://doi.org/10.3389/feduc.2025.1474864