Development of STMP Model: A Basis of Integrating Positive Education in Mathematics
Keywords:
library research; mathematics education; PERMA model; positive education; STMP modelAbstract
This study aimed to develop a theoretical and practical model for integrating positive education based on existing theories related to pedagogical practices, human values and peace education. The STMP (Student, Teacher, Method, and Positive Education) model was developed as a framework for incorporating positive education into mathematics instruction through collaborative and active learning for students. Each of the components in the framework is closely interconnected, working together to create a comprehensive model. The development of the framework was based on a thorough analysis of various relevant literature within the field of positive behavioural systems, ensuring that it is grounded in established research and best practices. The STMP serves as a guide for teachers in integrating positive and moral education concepts into the mathematics curriculum and in designing specific activities in the classroom. Findings of the STMP model suggest that it would be a guiding principle for teachers implementing positive education interventions by ensuring an engaging classroom practice. The STMP model supports the Commission on Higher Education (CHED) of the Philippines with its Memorandum Order No. 42, Series of 2021, which outlines guiding principles and practices on peace as well as positive education. As the framework is still in its developmental stage, further research is recommended to refine its components and explore its effectiveness on a broader scale.
https://doi.org/10.26803/ijlter.24.8.3
References
Alford, Z., & White, M. A. (2016). Positive school psychology: Evidence-based approaches in positive education (p. 93). https://doi.org/10.1007/978-94-017-9667-5_5
Aragón, E., Menacho, I., Navarro, J. I., & Aguilar, M. (2024). Teaching strategies, cognitive factors and mathematics. Heliyon. https://doi.org/10.1016/j.heliyon.2024.e29831a
Arenas, J., Cabotaje, J. P., Agao-agao, A. M., Samson, C., & Sam, S. (2024). The moderating role of positive education to the relationship of level of anxiety and academic achievement in mathematics. Edelweiss Applied Science and Technology, 8(5), 429–441. https://doi.org/10.55214/25768484.v8i5.1698
Basch, C. E. (2011). Healthier students are better learners: A missing link in school reforms to close the achievement gap. Journal of School Health, 81(10), 593–598. https://doi.org/10.1111/j.1746-1561.2011.00632.x
Benoit, V., & Gabola, P. (2021). Effects of positive psychology interventions on the well-being of young children: A systematic literature review. International Journal of Environmental Research and Public Health, 18(22), 12065. https://doi.org/10.3390/ijerph182212065Boaler, J. (2013). The Impact of a Positive Mindset on Mathematics Learning. FORUM 55(1):143 https://doi.org/10.2304/forum.2013.55.1.143
Camacho-Morles, J., Slemp, G. R., Pekrun, R., Loderer, K., Hou, H., & Oades, L. G. (2021). Activity achievement emotions and academic performance: A meta-analysis. Motivation and Emotion. https://doi.org/10.1007/s10648-020-09585-3
Dossey, J.A., & Funke, J., (2016). Canadian and United States Students' Performances on the OECD's PISA 2012 Problem-Solving Assessment. Canadian Journal of Science, Mathematics and Technology Education, https://doi.org/10.1080/14926156.2015.1119332
Duan, W., & Bu, H. (2017). The role of character strengths in predicting life satisfaction, psychological well-being, and academic achievement. Journal of Happiness Studies, 18(6), 1755–1773. https://doi.org/10.1007/s10902-016-9789-3
Fredrickson, B. L. (2004). The broaden-and-build theory of positive emotions. Philosophical Transactions of the Royal Society B: Biological Sciences, 359(1449), 1367–1377. https://doi.org/10.1098/rstb.2004.1512 “
Fredrickson, B. L. (2001). The role of positive emotions in positive psychology: The broaden-and-build theory of positive emotions. American Psychologist, 56(3), 218-226. https://doi.org/10.1037//0003-066x.56.3.218
Gulam, A. J. B., & Arenas, J. C. (2024). Mathematics performance and Polya’s method in problem solving. World Journal of Advanced Research and Reviews, 23(3), 2156-2162. https://doi.org/10.30574/wjarr.2024.23.3.2873
Huang, J., Tang, Y., He, W., & Li, Q. (2019). Singapore’s school excellence model and student learning: evidence from PISA 2012 and TALIS 2013. Asia Pacific Journal of Education, 39(1), 96-112. https://doi.org/10.1080/02188791.2019.1575185
Jaffe, E. (2020). Mindset in the classroom: Changing the way students see themselves in mathematics and beyond. The Clearing House: A Journal of Educational Strategies, Issues and Ideas, 93(5), 255–263. https://doi.org/10.1080/00098655.2020.1802215
Johnson, R. T., & Johnson, D. W. (2008). Active learning: Cooperation in the classroom. The annual report of educational psychology in Japan, 47, 29-30. https://doi.org/10.5926/arepj1962.47.0_29
Kovacevic, L., Trajkovic, M., Mijatovic, L., Popovic-Citic, B., Bukvic, L., Kovacevic, M., Marinkovic, P. A., & Radulovic, M. (2024). The relationship between teachers’ disciplinary practices and school bullying and students’ satisfaction with school: The moderated mediation effects of sex and school belonging. PLOS ONE, 19(5), Article e0303466. https://doi.org/10.1371/journal.pone.0303466
Kovich, M.K., Simpson, V.L., Foli, K.J. et al. Application of the PERMA Model of Well-being in Undergraduate Students. Int. Journal of Com. WB 6, 1–20 (2023). https://doi.org/10.1007/s42413-022-00184-4
Kucuksuleymanoglu, R. (2025). Resilience in lifelong learning for individuals. In Resilience, adaptability, and cultural awareness within the educational landscape (pp. 69–96). IGI Global. https://doi.org/10.4018/979-8-3693-6040-8.ch00
Mitchell, M. M., & Bradshaw, C. P. (2013). Examining classroom influences on student perceptions of school climate: The role of classroom management and exclusionary discipline strategies. Journal of School Psychology, 51(5), 599-610. https://doi.org/10.1016/j.jsp.2013.05.005
Mukhlis, H., Hariri, H., Riswandi, R., Haenilah, E. Y., Sunyono, S., Maulina, D., & Fitriadi, F. (2024). A current study of psychological well-being in educational institutions: A systematic literature review. Journal of Education and Learning, 18(2), 382–390. https://doi.org/10.11591/edulearn.v18i2.21136
Nario-Galace, J. (2020). Peace education in the Philippines: Measuring impact. The Journal of Social Encounters, 4(2), 96–102. https://doi.org/10.69755/2995-2212.1057
Norrish, Jacolyn M., (2015). Positive Education: The Geelong Grammar School Journey, Oxford Positive Psychology Series (Oxford, 2015; online edn, OxfordAcademic. https://doi.org/10.1093/acprof:oso/9780198702580.001.0001,
Parcon, B. S., Alum, J. G., Nilong, J. B. D., Maulana, S. S., Manalao, A. M., Miagar, N. A., Arenas, J. C., & Cabotaje, J. P. A. (2025). Teachers’ performance and experiences: An explanatory mixed method design in individual performance commitment and review form compliance. Multidisciplinary Science Journal, 7(8). https://doi.org/10.31893/multiscience.2025365
Pulla, V. (2014). (7) Grounded Theory Approach in Social Research. http://doi:10.20896/saci. v2i3.93
Seligman, M. E. P., Steen, T. A., Park, N., & Peterson, C. (2005). Positive psychology progress: empirical validation of interventions. American Psychologist, 60(5), 410-421. https://doi:10.1037/0003-066X.60.5.410
Solis, M., Vaughn, S., Swanson, E., & McCulley, L. (2012). Collaborative models of instruction: The empirical foundations of inclusion and co?teaching. Psychology in the Schools, 49(5), 498-510. https://doi.org/10.1002/pits.21606
Suldo, S. M., Thalji, A., & Ferron, J. (2019). Longitudinal academic outcomes predicted by early adolescents' anxiety and positive and negative affect: A person-centered approach. School Psychology Quarterly, 34(4), 488–498. https://doi.org/10.1080/17439760.2010.536774
Zhao, Y., Gengfeng, N., Hanchao, H., Guang, Z., Liying, X., Kaiping, P., & Feng, Y. (2019). Growth mindset and grit in academic achievement: The mediating role of learning motivations in students. Frontiers in Psychology, 9, Article 456. https://doi.org/10.3389/fpsyg.2018.02007
Zewude, G. T., & Maria, H. (2022). The role of positive psychological capital in the prediction of teachers’ well-being mediated through motivation: A review of literature. Athens Journal of Health & Medical Sciences, 9(4). https://doi.org/10.30958/ajhms.9-4-4
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Copyright (c) 2025 Joel Arenas, John Paul Cabotaje, Rolly James Cheng, Saima Maulana, Linang Monir, Solayha Sam

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