A Conceptual Framework for Implementing a Problem-Solving Based Mathematics Curriculum in Vocational Education
DOI:
https://doi.org/10.59175/pijed.v4i2.766Keywords:
Curriculum Implementation, Learning Strategy, Mathematics Curriculum, Problem-Solving, Vocational EducationAbstract
This study is a conceptual investigation aimed at developing a theoretical framework for implementing a problem-solving based mathematics curriculum in Intermediate Vocational Schools (SMK). The study is motivated by the need to bridge the gap between conventional mathematics learning approaches and the demands of the industrial world, which require students to possess critical, creative, and adaptive thinking skills. The research employed a systematic literature analysis using reputable international sources indexed in Scopus from 2015 to 2025. The synthesis of the literature reveals five key components of effective implementation strategies: (1) strengthening teacher capacity in designing problem solving oriented learning, (2) developing contextual instructional designs, (3) ensuring strong industry relevance, (4) applying competence-based and sustainable evaluation, and (5) fostering institutional support for innovation. The resulting conceptual framework provides theoretical contributions to the development of vocational mathematics curricula and offers practical guidance for teachers in designing learning activities aligned with the needs of the world of work.
References
Anderson, L. W., & Krathwohl, D. R. (2019). A taxonomy for learning, teaching, and assessing: A revision of Bloom's taxonomy of educational objectives. Longman.
Clements, D.H., & Sarama, J. (2021). Learning and teaching early mathematics: The learning trajectories approach (2nd ed.). Routledge. https://doi.org/10.4324/9780429027838
Hasan, M., & Yasin, M. (2021). Challenges in implementing problem-based learning in vocational education. Journal of Technical Education and Training, 13 (2), 42–50. https://doi.org/10.30880/jtet.2021.13.02.004
Henderson, J. (2021). Conceptual research design: A framework for theoretical studies. Educational Research Review, 34, 1–12. https://doi.org/10.1016/j.edurev.2021.100409
Jabareen, Y. (2009). Building a conceptual framework: Philosophy, definitions, and procedures. International Journal of Qualitative Methods, 8 (4), 49–62. https://doi.org/10.1177/160940690900800406
Lee, S., & Kim, J. (2022). Integrating mathematics and industry-based learning in vocational schools. International Journal of STEM Education, 9 (1), 55–67. https://doi.org/10.1186/s40594-022-00321-3
Marzano, R. J. (2020). The new art and science of teaching: A comprehensive framework for effective instruction. Solution Tree Press.
Miles, M.B., Huberman, A.M., & Saldaña, J. (2019). Qualitative data analysis: A methods sourcebook (4th ed.). SAGE Publications.
OECD. (2020). OECD skills strategy 2020: Skills to shape a better future. OECD Publishing. https://doi.org/10.1787/9789264313835-en
OECD. (2023). Skills outlook 2023: Learning for life. OECD Publishing. https://doi.org/10.1787/2aaf074f-en
Ornstein, A.C., & Hunkins, F.P. (2018). Curriculum: Foundations, principles, and issues (8th ed.). Pearson.
Park, S., & Shin, H. (2022). Relevance of problem-solving in vocational education: Industrial perspectives. International Journal of Educational Development, 90 , 102578. https://doi.org/10.1016/j.ijedudev.2022.102578
Polya, G. (2004). How to solve it: A new aspect of mathematical methods. Princeton University Press.
Rahmawati, D. (2022). The impact of problem-based learning on students' higher-order thinking skills in mathematics. Eurasian Journal of Mathematics, Science and Technology Education, 18 (4), em2102. https://doi.org/10.29333/ejmste/12058
Savery, J.R. (2021). An overview of problem-based learning: Definitions and distinctions. Interdisciplinary Journal of Problem-Based Learning, 15 (2), 1–20. https://doi.org/10.14434/ijpbl.v15i2.30213
Setiawan, R., Pramono , T., & Hidayati , N. (2021). Teacher readiness in implementing problem-solving-based curriculum in Indonesian vocational schools. International Journal of Instruction, 14 (4), 60–74. https://doi.org/10.29333/iji.2021.1445a
Snyder, H. (2019). Literature review as a research methodology: An overview and guidelines. Journal of Business Research, 104, 333–339. https://doi.org/10.1016/j.jbusres.2019.07.039
Tan, L., & Lim, J. (2023). Problem-solving and employability skills in vocational mathematics. Journal of Vocational Education Research, 48 (1), 85–102. https://doi.org/10.1080/13636823.2023.2105123
Tanujaya , B., & Mumu, J. (2023). Challenges in developing higher-order thinking skills in Southeast Asian vocational education. Asia-Pacific Education Researcher, 32 (2), 13–24. https://doi.org/10.1007/s40299-022-00674-5
Torraco, R. J. (2016). Writing integrative literature reviews: Using the past and present to explore the future. Human Resource Development Review, 15 (4), 404–428. https://doi.org/10.1177/1534484316671606
Trigo, F. (2024). Teaching mathematics through problem-solving: A practical approach for vocational contexts. European Journal of Educational Studies, 9 (1), 1–8. https://doi.org/10.46827/ejes.v9i1.5170
Tynjälä, P. (2022). Perspectives on vocational education and learning: Integrating theory, practice, and reflection. Vocational Education Review, 40 (1), 1–12. https://doi.org/10.1007/s12186-022-09310-4
UNESCO. (2020). Reimagining our futures together: A new social contract for education. UNESCO Publishing. https://unesdoc.unesco.org/ark:/48223/pf0000379707
Widodo, A. (2021). Enhancing students' HOTS through problem-solving in mathematics learning. Journal of Education and Learning, 15 (3), 87–95. https://doi.org/10.11591/edulearn.v15i3.19925
Wijaya, A., Retnawati , H., & Yamtinah , S. (2020). Students' mathematical problem-solving ability in vocational schools. Horizons of Education, 39 (4), 1075–1086. https://doi.org/10.21831/cp.v39i4.32812
World Bank. (2022). World development report 2022: The changing nature of work and education. World Bank Publications. https://doi.org/10.1596/978-1-4648-1758-0
Zhao, Z., & Lu, X. (2018). The role of vocational curriculum in promoting work readiness: A Chinese perspective. Journal of Vocational Education and Training, 70 (2), 230–247. https://doi.org/10.1080/13636820.2018.1437061
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