Advancing Mathematical Modelling Instruction: A Systematic Review of Evidence-Based Practices

Authors

  • Flor Junema C. Mabutin, PhD Ruidoso High School, USA Author
  • Gina Lapinig, PhD North Lakeland Elementary, Florida USA Author
  • Rabia Abdulrahim EdD (Cand) International Leadership of Texas (Liberty High School), USA Author
  • Ma. Pops Del Rosario, PhD (Cand) White Mountain Elementary School, USA Author
  • Flordemay D. Dupal-ag, MAEd (Cand) Eagle Lake Elementary School, Eagle Lake, Florida USA Author

Keywords:

mathematical modelling, systematic literature review, instructional design

Abstract

This study examines recent literature on the key dimensions and frameworks underlying mathematical modelling instruction. A systematic literature review (SLR) was conducted following the PRISMA protocol, involving the stages of identification, screening, eligibility, inclusion, and synthesis. Data were gathered from three major databases: ERIC, ScienceDirect, and Scopus. From an initial pool of 436 studies, 18 articles met the inclusion criteria and were analyzed in depth. The findings reveal that effective mathematical modelling instruction is built upon a balanced integration of three core dimensions: activity design, pedagogy, and assessment systems. Among these, activity design emerged as the most emphasized, particularly highlighting the importance of authentic, relevant, and open-ended tasks that promote learner engagement and critical thinking. Pedagogical practices focused on teacher facilitation and student-centered learning, while assessment systems addressed the evaluation of both cognitive and process-oriented competencies. The review also indicates that research in this field is predominantly contributed by scholars from Germany, the United States, Turkey, Australia, and Singapore, with a strong focus on secondary education contexts. These results underscore the need for more balanced development across all dimensions and expanded research in diverse educational settings.

References

Ahr, E., Cyr, S., Potvin, P., Blanc, M., Riopel, M., Masson, S., ... & Foisy, L. M. B. (2026). 25 Years Later: A Systematic Review of Mathematics and Science Integration in Primary and Secondary Education. Canadian Journal of Science, Mathematics and Technology Education, 26(2), 43.

Abuhassna, H., Adnan, M. A. B. M., & Awae, F. (2024). Exploring the synergy between instructional design models and learning theories: A systematic literature review. Contemporary Educational Technology, 16(2), ep499.

Ayari, M. A., Sellami, A., Santhosh, M. E., Naji, K. K., Al-Ali, A., & Al-Hazbi, S. M. A. (2025, December). From problems to performance: a systematic review of problem-based learning in K-12 mathematics. In Frontiers in Education (Vol. 10, p. 1731307). Frontiers Media SA.

Barnett, J. E. H., & Cleary, S. (2015). Review of evidence-based mathematics interventions for students with autism spectrum disorders. Education and training in autism and developmental disabilities, 50(2), 172-185.

Bicer, A. (2021). A Systematic Literature Review: Discipline-Specific and General Instructional Practices Fostering the Mathematical Creativity of Students. International Journal of Education in Mathematics, Science and Technology, 9(2), 252-281.

Carroll, G., & Park, S. (2026). Towards expansive model-based teaching: A systematic synthesis of modelling pedagogies in science education literature. Studies in Science Education, 62(1), 1-39.

Cevikbas, M., Kaiser, G., & Schukajlow, S. (2024). Trends in mathematics education and insights from a meta-review and bibliometric analysis of review studies. ZDM–Mathematics Education, 56(2), 165-188.

Charalambous, C. Y., & Delaney, S. (2020). Mathematics teaching practices and practice-based pedagogies: A critical review of the literature since 2000. International handbook of mathematics teacher education, 1, 355-390.

Doabler, C. T., Clarke, B., Kosty, D., Turtura, J. E., Sutherland, M., Maddox, S. A., & Smolkowski, K. (2021). Using direct observation to document “practice-based evidence” of evidence-based mathematics instruction. Journal of Learning Disabilities, 54(1), 20-35.

Eddy, S. L., Converse, M., & Wenderoth, M. P. (2015). PORTAAL: A classroom observation tool assessing evidence-based teaching practices for active learning in large science, technology, engineering, and mathematics classes. CBE—Life Sciences Education, 14(2), ar23.

Ferri, R. B. (2018). Learning how to teach mathematical modeling in school and teacher education (pp. 121-133). New York: Springer International Publishing.

Frejd, P., & Vos, P. (2024). The spirit of mathematical modeling–a philosophical study on the occasion of 50 years of mathematical modeling education. The Mathematics Enthusiast, 21(1), 269-300.

Ganesan, U. (2025). Evidence-based teaching interventions for emergent multilingual students in high school science classrooms: a literature review. Discover Education, 4(1), 41.

Geiger, V., Galbraith, P., Niss, M., & Delzoppo, C. (2022). Developing a task design and implementation framework for fostering mathematical modelling competencies. Educational Studies in Mathematics, 109(2), 313-336.

Halawa, F., Madathil, S. C., Gittler, A., & Khasawneh, M. T. (2020). Advancing evidence-based healthcare facility design: a systematic. Health care management science, 23, 453-480.

Hallström, J., & Schönborn, K. J. (2019). Models and modelling for authentic STEM education: Reinforcing the argument. International Journal of STEM education, 6(1), 22.

He, A., Yuan, W., Lee, L. S., & Tian, T. (2025). AI-driven predictive models for optimizing mathematics education technology: Enhancing decision-making through educational data mining and meta-analysis. Smart Learning Environments, 12(1), 1-42.

Hodara, M. (2011). Reforming mathematics classroom pedagogy: Evidence-based findings and recommendations for the developmental math classroom (assessment of evidence series).

King, S. A., Lemons, C. J., & Davidson, K. A. (2016). Math interventions for students with autism spectrum disorder: A best-evidence synthesis. Exceptional children, 82(4), 443-462.

Knogler, M., Hetmanek, A., & Seidel, T. (2022). Determining an evidence base for particular fields of educational practice: A systematic review of meta-analyses on effective mathematics and science teaching. Frontiers in Psychology, 13, 873995.

Mafarja, N., Rahim, S. S. A., & Zulnaidi, H. (2026). Enhancing Mathematical Thinking Among Pre-Service Mathematics Teachers: A Systematic Literature Review. Sage Open, 16(2), 21582440261445506.

Meylani, R. (2025). A critical glance at technology’s role in mathematics education for a sustainable future: Advancing sdg 4-quality education through a systematic review and qualitative synthesis. Journal of Lifestyle and SDG’S Review, 5(2), 32-47.

Radzi, N. M., & Mahmud, M. S. (2025). Inclusive Mathematics Pedagogy: A Systematic Literature Review of Practices, Innovations, and Equity in Primary Schools. International Journal of Learning, Teaching and Educational Research, 24(3), 29-54.

Siller, H. S., Geiger, V., & Kaiser, G. (2024). Researching mathematical modelling education in disruptive times—An introduction. In Researching mathematical modelling education in disruptive times (pp. 3-11). Cham: Springer Nature Switzerland.

Sofroniou, A. (2025). Advancing conceptual understanding: a meta-analysis on the impact of digital technologies in higher education mathematics. Education Sciences, 15(11).

Spooner, F., Knight, V. F., Browder, D. M., & Smith, B. R. (2012). Evidence-based practice for teaching academics to students with severe developmental disabilities. Remedial and Special Education, 33(6), 374-387.

Spooner, F., Root, J. R., Saunders, A. F., & Browder, D. M. (2019). An updated evidence-based practice review on teaching mathematics to students with moderate and severe developmental disabilities. Remedial and Special Education, 40(3), 150-165.

Sukackė, V., Guerra, A. O. P. D. C., Ellinger, D., Carlos, V., Petronienė, S., Gaižiūnienė, L., ... & Brose, A. (2022). Towards active evidence-based learning in engineering education: A systematic literature review of PBL, PjBL, and CBL. Sustainability, 14(21), 13955.

Taja-on, E. P., Roble, D. B., & Lomibao, L. S. (2024). Mathema Asclepius: A systematic review of mathematics shaping medical frontiers. Journal of Innovations in Teaching and Learning, 4(1), 37-43.

Vickrey, T., Rosploch, K., Rahmanian, R., Pilarz, M., & Stains, M. (2015). Based implementation of peer instruction: A literature review. CBE—Life Sciences Education, 14(1), es3.

Vorsah, R. E., & Tamakloe, T. A. (2025). Exploring Science & Mathematics Models through AI Technology to Advance High School Education Right. International Journal of Advance Research Publication and Reviews, 2(4), 185-206.

Wang, M., Effendi, M., Matore, E. M., & Rosli, R. (2025). Analytical thinking in mathematics: A systematic literature review on research types and content. International Journal of Instruction, 18(4), 153-176.

Downloads

Published

2026-05-09

How to Cite

Mabutin, F. J., Lapinig, G., Abdulrahim, R., Del Rosario, M. P., & Dupal-ag, F. (2026). Advancing Mathematical Modelling Instruction: A Systematic Review of Evidence-Based Practices. International Multidisciplinary Journal of Research for Innovation, Sustainability, and Excellence (IMJRISE), 4(1), 64-75. https://risejournals.org/index.php/imjrise/article/view/1658