The Effects of an Inquiry-Based Learning Model Emphasizing Self-Regulation (4P-SRI Model) on Mathematical Problem-Solving Ability and Learning Achievement in Mathematical Processes and Basic Financial Calculation for Diploma Students
Main Article Content
Abstract
This study employed a quasi-experimental research design. The purposes of this research were: 1) to compare students' mathematical problem-solving abilities in mathematical processes and basic financial computation before and after implementing the 4P-SRI Model; 2) to compare academic achievement and mathematical problem-solving abilities between the group taught using the 4P-SRI Model and the group taught through conventional instruction; and 3) to investigate the self-regulated learning skills of students taught via the 4P-SRI Model. The sample consisted of 60 associate degree students at Buriram Community College during the first semester of the 2025 academic year, spanning two classrooms. The sample was obtained through cluster random sampling, followed by a pre-test to ensure comparable prior knowledge between the two groups. Subsequently, simple random sampling was used to assign one class as the experimental group (n=30), which received instruction through the 4P-SRI Model, and the other as the control group (n=30), which received conventional instruction. The research instruments included: 1) lesson plans based on the 4P-SRI Model; 2) conventional lesson plans; 3) a mathematical problem-solving ability test (reliability = 0.89); 4) an academic achievement test (reliability = 0.92); and 5) a self-regulated learning skills assessment scale. Data were analyzed using descriptive statistics, including mean ($\bar{x}$) and standard deviation (S.D.), as well as inferential statistics, specifically the t-test for dependent samples and the t-test for independent samples. The results showed that 1. Students taught with the 4P-SRI Model had significantly higher post-test scores for mathematical problem-solving ability compared to their pre-test scores at the .05 level of significance. 2. The experimental group demonstrated significantly higher mathematical learning achievement and mathematical problem-solving ability than the control group at the .05 level of significance. 3. Students taught with the 4P-SRI Model exhibited self-regulated learning skills across all three aspects (metacognitive, motivational, and behavioral) at a "Very High" level.
Article Details

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
References
Artigue, M., & Blomhøj, M. (2013). Conceptualizing inquiry-based education in mathematics. ZDM –Mathematics Education, 45(6), 797–810. https://doi.org/10.1007/s11858-013-0541-1 (Revisited 2021)
Boonsong, C. (2022). The relationship between self-regulation and attitude towards mathematics of lower secondary school students. Journal of Mathematics Education, 8(1), 45-60. [in Thai]
Broadbent, J., & Poon, W. L. (2015). Self-regulated learning strategies & academic achievement in online higher education learning environments: A systematic review. The Internet and Higher Education, 27, 1–13. https://doi.org/10.1016/j.iheduc.2015.04.007
Bruner, J. S. (1961). The act of discovery. Harvard Educational Review, 31(1), 21–32.
Cleary, T. J., & Kitsantas, A. (2017). Motivation and self-regulated learning analysis of low-achieving students during a mathematics intervention program. Contemporary Educational Psychology, 51, 217–228. https://doi.org/10.1016/j.cedpsych.2017.08.006
Dewey, J. (1938). Experience and education. Kappa Delta Pi.
Dorier, J. L., & Maass, K. (2020). Inquiry-based learning in mathematics and science education. In L. Leite, E.
Viau, & A. S. Afonso (Eds.), Teaching and Learning in a Networked World (pp. 123–145). Springer.
Hmelo-Silver, C. E., Duncan, R. G., & Chinn, C. A. (2007). Scaffolding and achievement in problem-based and inquiry learning: A response to Kirschner, Sweller, and Clark (2006). Educational Psychologist, 42(2), 99-107.
Jittayasoathon, S. (2020). The development of problem solving ability using inquiry-based learning. Journal of Education, 31(2), 45-58. [in Thai]
Khammanee, T. (2019). Instructional science: Knowledge for effective learning process management (23rd ed.). Chulalongkorn University Press. [in Thai]
Kilpatrick, J., Swafford, J., & Findell, B. (Eds.). (2001). Adding it up: Helping children learn mathematics. National Academy Press.
Kirschner, P. A., Sweller, J., & Clark, R. E. (2006). Why minimal guidance during instruction does not work: An analysis of the failure of constructivist, discovery, problem-based, experiential, and inquiry-based teaching. Educational Psychologist, 41(2), 75-86.
Kittiveerawong, N. (2021). Development of a mathematics instructional model based on self-regulated learning to promote learning discipline of secondary school students. Journal of Expert Teacher, 5(3), 201-218. [in Thai]
Lazonder, A. W., & Harmsen, R. (2016). Meta-analysis of inquiry-based learning: Effects of guidance. Review of Educational Research, 86(3), 681–718. https://doi.org/10.3102/0034654315618836
Makanong, A. (2014). Mathematics: Teaching and learning. Academic Document and Textbook Center, Faculty of Education, Chulalongkorn University. [In Thai]
Makar, K., & Fielding-Wells, J. (2018). Inquiry in mathematics education. In S. Lerman (Ed.), Encyclopedia of Mathematics Education (pp. 1–7). Springer. https://doi.org/10.1007/978-3-319-77487-9_81-4
Nanthawicha, T. (2023). A comparison of mathematics learning achievement between inquiry-based learning and conventional method on geometry for grade 8 students. Journal of Education and Learning Innovation, 3(2), 112-128. [in Thai]
National Research Council. (2000). Inquiry and the national science education standards: A guide for teaching and learning. National Academy Press.
OECD. (2019). OECD Future of Education and Skills 2030: OECD learning compass 2030. OECD Publishing.
Office of the Education Council. (2019). State of Thai education 2018/2019: Education reform in the digital era. Prikwarn Graphic. [in Thai]
Panadero, E. (2017). A review of self-regulated learning: Six models and four directions for research. Frontiers in Psychology, 8, Article 422. https://doi.org/10.3389/fpsyg.2017.00422
Phankrueabut, W. (2021). Inquiry-based learning management with dynamic geometry technology to develop geometric thinking skills in secondary education. Journal of Educational Technology and Innovation, 7(4), 134-150. [in Thai]
Phuangphlap, N. (2022). Effects of 5E inquiry learning activities on statistical reasoning ability of grade 9 students. Journal of Educational Research, Faculty of Education, Srinakharinwirot University, 17(1), 89-104. [in Thai]
Plaengprasopchok, S. (2020). Development of a mathematics instructional model using analytical inquiry to enhance problem-solving skills for upper secondary school students. Journal of Mathematics Education, 12(2), 1-18. [in Thai]
Pólya, G. (1957). How to solve it: A new aspect of mathematical method (2nd ed.). Princeton University Press.
Promwong, C. (2013). Efficiency testing of media or instructional packages. Silpakorn University Journal of
Social Sciences, Humanities, and Arts, 5(1), 7–20. (in Thai).
Rivet, A. E., & Krajcik, J. S. (2021). Contextualizing instruction to support self-regulated expressions of learning
in science and mathematics. Journal of the Learning Sciences, 30(1), 120–135.
Savin-Baden, M., & Major, C. H. (2004). Foundations of problem-based learning. Open University Press.
Schoenfeld, A. H. (1985). Mathematical problem solving. Academic Press.
Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 334–370). Macmillan.
Schunk, D. H., & DiBenedetto, M. (2020). Motivation and self-regulation in maritime and mathematics education. International Journal of Educational Research, 103, 101621. https://doi.org/10.1016/j.ijer.2020.101621
Sindhu-udom, A. (2021). The results of learning management based on self-regulation affecting learning achievement. Academic Journal of Education, 15(1), 89-102. [in Thai]
Suriya, P. (2023). Effects of using learning logs to enhance self-regulation in mathematical problem solving
of grade 6 students. Journal of Education, Rajabhat University, 4(1), 77-92. [in Thai]
Susaorat, P. (2020). Research and development of self-regulated learning skills of students in the education innovation zone: A case study of Rayong Province. Journal of Learning Innovation and Research, 10(2), 15-32. [in Thai]
Veenman, M. V. J. (2017). Learning to self-monitor and self-regulate. In R. Mayer & P. Alexander (Eds.),
Handbook of Research on Learning and Instruction (2nd ed., pp. 197–218). Routledge.
Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Harvard University Press.
Wongwanich, S., Sujiva, S., & Chaowattanagun, K. (2019). Evaluation of inquiry-based learning achievement in Thai school contexts: Impact on mathematics anxiety and motivation. Research Report funded by National Budget, Chulalongkorn University. [in Thai]
World Economic Forum. (2020). The future of jobs report 2020. World Economic Forum.
Zimmerman, B. J. (2002). Becoming a self-regulated learner: An overview. Theory into Practice, 41(2), 64-70.
Zimmerman, B. J., & Moylan, A. R. (2009). Self-regulation: Where metacognition and motivation intersect. In
D. J. Hacker, J. Dunlosky, & A. C. Graesser (Eds.), Handbook of Metacognition in Education (pp. 299–315). Routledge. (Updated 2021)
Zimmerman, B. J., & Schunk, D. H. (Eds.). (2011). Handbook of self-regulation of learning and performance. Routledge.