NOVEL APPROACHES FOR TEACHING MATHEMATICAL MODELING TO PRESERVICE TEACHERS: A SYSTEMATIC REVIEW
Abstract
This systematic review examines innovative approaches to teaching mathematical modeling to preservice mathematics teachers, emphasizing its role in bridging abstract mathematical theory and real-world application. The study aims to synthesize empirical research published between 2015 and 2024 to identify effective pedagogical strategies, assess their instructional outcomes, and address implementation challenges. The review follows PRISMA 2020 guidelines and includes 126 peer-reviewed studies selected through systematic searches across ERIC, Scopus, JSTOR, Web of Science, and Google Scholar. Thematic analysis revealed a strong transition from traditional problem-solving to context-based modeling instruction supported by approaches such as project-based learning, inquiry-based learning, technology-enhanced learning, flipped classrooms, and interdisciplinary integration. Key outcomes include enhanced modeling competencies, improved critical thinking, increased engagement, and reduced anxiety among preservice teachers. The review also identifies persistent barriers including limited modeling experience, mathematics anxiety, and resistance to pedagogical change. Proposed solutions involve curriculum redesign, professional development, and technology integration. The study concludes that embedding authentic, interdisciplinary modeling experiences into teacher education programs strengthens preservice teachers’ instructional readiness and fosters meaningful mathematics learning. These findings support the strategic incorporation of innovative and reflective teaching approaches to advance modeling competencies in future educators.
Kajian sistematis ini mengkaji pendekatan-pendekatan inovatif dalam pengajaran pemodelan matematika kepada calon guru matematika, dengan menekankan peran pemodelan dalam menjembatani teori matematika yang abstrak dengan penerapannya di dunia nyata. Studi ini bertujuan untuk mensintesis hasil-hasil penelitian empiris yang diterbitkan antara tahun 2015 hingga 2024 guna mengidentifikasi strategi pedagogis yang efektif, mengevaluasi hasil instruksionalnya, serta mengungkap tantangan dalam penerapannya. Kajian ini menggunakan panduan PRISMA 2020 dan menganalisis 126 artikel terpilih yang diperoleh dari basis data ERIC, Scopus, JSTOR, Web of Science, dan Google Scholar. Analisis tematik menunjukkan adanya pergeseran yang kuat dari pendekatan pemecahan masalah tradisional menuju pengajaran berbasis konteks yang melibatkan model matematika. Strategi-strategi seperti pembelajaran berbasis proyek, pembelajaran berbasis inkuiri, pembelajaran berbasis teknologi, kelas terbalik, serta integrasi lintas disiplin terbukti meningkatkan keterampilan pemodelan, pemikiran kritis, keterlibatan belajar, serta mengurangi kecemasan matematika pada calon guru. Kajian ini juga mengidentifikasi berbagai hambatan yang dihadapi, seperti keterbatasan pengalaman dalam pemodelan, resistensi terhadap inovasi pedagogis, dan minimnya pelatihan profesional. Solusi yang diusulkan mencakup perancangan ulang kurikulum, pengembangan profesional, dan integrasi teknologi dalam pembelajaran. Kajian ini menyimpulkan bahwa pengintegrasian pengalaman pemodelan matematika yang autentik dan lintas disiplin dalam program pendidikan guru mampu meningkatkan kesiapan instruksional calon guru dan mendorong pembelajaran matematika yang bermakna. Temuan ini mendukung perlunya penerapan strategi pengajaran inovatif dan reflektif dalam memperkuat kompetensi pemodelan di kalangan pendidik masa depan.
References
Anitha, D., & Kavitha, D. (2023). Improving problem-solving skills through technology assisted collaborative learning in a first year engineering mathematics course. Interactive Technology and Smart Education, 20(4), 534–553. doi:10.1108/ITSE-03-2022-0030
Aris, N. (2024). Design and development research (ddr) approach in designing design thinking chemistry module to empower students’ innovation competencies. Journal of Advanced Research in Applied Sciences and Engineering Technology, 44(1), 55–68. doi:10.37934/araset.44.1.5568
Badreddin, O., Rahad, K., Forward, A., & Lethbridge, T. C. (2021). The evolution of software design practices over a decade: A long term study of practitioners. The Journal of Object Technology, 20(2), 1. doi:10.5381/jot.2021.20.2.a1
Baker, C. K., & Galanti, T. M. (2017). Integrating stem in elementary classrooms using model-eliciting activities: Responsive professional development for mathematics coaches and teachers. International Journal of Stem Education, 4(1), 10. doi:10.1186/s40594-017-0066-3
Bantilan, V. M., Valera, J. S., Lazaro, N. J., & Limos-Galay, J. A. (2024). Teachers’ anxiety and self-efficacy as correlates to their performance in san jose north district. International Journal of Research Studies in Educational Technology, 8(2). doi:10.5861/ijrset.2024.8015
Beier, M. E., Kim, M. H., Saterbak, A., Leautaud, V., Bishnoi, S., & Gilberto, J. M. (2019). The effect of authentic project‐based learning on attitudes and career aspirations in stem. Journal of Research in Science Teaching, 56(1), 3–23. doi:10.1002/tea.21465
Carrillo-Yañez, J., Climent, N., Montes, M., Contreras, L. C., Flores-Medrano, E., Escudero-Ávila, D., . . . Muñoz-Catalán, M. C. (2018). The mathematics teacher’s specialised knowledge (MTSK) model. Research in Mathematics Education, 20(3), 236–253. doi:10.1080/14794802.2018.1479981
Charitaki, G., Vretudaki, H., & Kypriotaki, M. (2024). Assessing mathematics teaching efficacy profiles in kindergarten: The impact of special educational needs, school climate, responsibility for student achievement, self-efficacy and locus of control. doi:10.31219/osf.io/2gtqh
Costado Dios, M. T., & Piñero Charlo, J. C. (2024). Mathematical anxiety among primary education degree students in the post-pandemic era: A case study. Education Sciences, 14(2), 171. doi:10.3390/educsci14020171
Dinglasan, J. K. L., Caraan, D. R. C., & Ching, D. A. (2023). Effectiveness of realistic mathematics education approach on problem-solving skills of students. International Journal of Educational Management and Development Studies, 4(2), 64–87. doi:10.53378/352980
Dunphy, E. (2010). Exploring young children’s (mathematical) thinking: Preservice teachers reflect on the use of the one-to-one interview. International Journal of Early Years Education, 18(4), 331–347. doi:10.1080/09669760.2010.531610
Edelen, D., Bush, S. B., Simpson, H., Cook, K. L., & Abassian, A. (2020). Moving toward shared realities through empathy in mathematical modeling: An ecological systems theory approach. School Science and Mathematics, 120(3), 144–152. doi:10.1111/ssm.12395
Edo, H., Vivian, M., Asare, B., & Arthur, Y. D. (2024). Pre-service teachers’ mathematics achievement, attitude, and anxiety: The moderative role of pre-service teachers’ interest in the learning process. Pedagogical Research, 9(2), Article em0192. doi:10.29333/pr/14192
Eustachio Colombo, P., Patterson, E., Lindroos, A. K., Parlesak, A., & Elinder, L. S. (2020). Sustainable and acceptable school meals through optimization analysis: An intervention study. Nutrition Journal, 19(1), 61. doi: 10.1186/s12937-020-00579-z
Fitriyah, M., Suratno, S., Prastiti, T. D., Dafik, , & Hobri, . (2020). The effectiveness of the combined of inquiry and experimental learning models on student cognitive learning outcomes about the properties of light. Journal of Physics: Conference Series, 1563(1), Article 012057. doi:10.1088/1742-6596/1563/1/012057
Furner, J. M. (2024). The best pedagogical practices for teaching mathematics revisited: Using math manipulatives, children’s literature, and GeoGebra to produce math confident young people for a stem world. Pedagogical Research, 9(2), Article em0193. doi:10.29333/pr/14194
Galimova, E. G., Prokopyev, A. I., Aytuganova, J. I., Zakharova, V. L., Shindryaeva, N. N., & Kolomoets, E. N. (2024). Examining the relationships among anxiety associated with teaching science, interest in science, and self-efficacy. Eurasia Journal of Mathematics, Science and Technology Education, 20(5), Article em2447. doi:10.29333/ejmste/14578
Gresham, G. (2018). Preservice to inservice: Does mathematics anxiety change with teaching experience? Journal of Teacher Education, 69(1), 90–107. doi:10.1177/0022487117702580
Gülşen Turgut, İ., & Bakır, N. Ş. (2025). Different predictors of high school students’ mathematics achievement. Psychology in the Schools, 62(2), 457–474. doi:10.1002/pits.23333
Gürbüz, R., & Çalik, M. (2021). Intertwining mathematical modeling with environmental issues. Problems of Education in the 21st Century, 79(3), 412–424. doi:10.33225/pec/21.79.412
Hair, J. F., Hult, G. T. M., Ringle, C. M., & Sarstedt, M. (2022). A primer on partial least squares structural equation modeling (PLS-SEM) (3rd ed.). Sage Publications.
Harmini, T., Sudibyo, N. A., & Suprihatiningsih, S. (2022). The effect of the flipped classroom learning model on students’ learning outcome in multivariable calculus course. AlphaMath, 8(1), 72. doi:10.30595/alphamath.v8i1.10854
Hochmuth, R., Peters, J., Rønning, F., & Winsløw, C. (2025). Modelling mathematics for educational research and practice: A comparison of two theoretical approaches. Educational Studies in Mathematics, 118(2), 153–168. doi:10.1007/s10649-024-10368-8
Hopkins, M., Spillane, J. P., Jakopovic, P., & Heaton, R. M. (2013). Infrastructure redesign and instructional reform in mathematics. The Elementary School Journal, 114(2), 200–224. doi:10.1086/671935
Jazuli, L. O. A., Solihatin, E., & Syahrial, Z. (2019). The effect of brain based learning strategies and project based learning on mathematics learning outcomes in students of the kinesthetic learning style group. International Journal of Engineering and Advanced Technology, 8(6s3), 373–377. doi:10.35940/ijeat.F1064.0986S319
Juandi, D., Kusumah, Y. S., Tamur, M., Perbowo, K. S., Siagian, M. D., Sulastri, R., & Negara, H. R. P. (2021). The effectiveness of dynamic geometry software applications in learning mathematics: A meta-analysis study. International Journal of Interactive Mobile Technologies (Ijim), 15(02), 18. doi:10.3991/ijim.v15i02.18853
Kabir, S., & Jalali, T. K. (2021). Linking real-life situation with content of school mathematics at secondary level: Exploring current practice and challenge in Bangladesh. Journal of Education and Practice. doi:10.7176/JEP/12-3-19
Kandemir, M. A., & Eryilmaz, N. (2025). Innovative approaches in mathematical modeling: Harnessing technology for teaching second degree equations to Future Mathematics Educators in Türkiye. Social Sciences & Humanities Open, 11, Article 101281. doi:10.1016/j.ssaho.2025.101281
Karali, Y. (2021). Interdisciplinary approach in primary school mathematics education. Education Quarterly Reviews, 4(4). doi:10.31014/aior.1993.04.04.382
Kathotia, V., O’Brien, K., & Solomon, Y. (2021). Just mathematics? Fostering empowering and inclusive mathematics classrooms with Realistic Mathematics Education. In D. Kollosche (Ed.), Exploring new ways to connect. Proceedings of the Eleventh International Mathematics Education and Society Conference, 2. Tredition. doi:10.5281/zenodo.5414524
Kurniadi, E., Suganda, V. A., & Harini, B. (2022). The pedagogical content knowledge dimensions of mathematics teacher in mathematics modeling learning. Prima: Jurnal Pendidikan Matematika. Prima Publishing, 6(2), 90. doi:10.31000/prima.v6i2.5381
Laurens, T., Batlolona, F. A., Batlolona, J. R., & Leasa, M. (2017). How does realistic mathematics education (rme) improve students’ mathematics cognitive achievement? Eurasia Journal of Mathematics, Science and Technology Education, 14(2). doi:10.12973/ejmste/76959
Lewis, Z. H., Hansen, K., Narasaki-Jara, M., Killick, L., Kwon, M., Chase, L., & Lemez, S. (2022). Embedding diversity, equity, and inclusion into a kinesiology curriculum: A detailed report of a curriculum redesign. Social Sciences, 11(7), 271. doi:10.3390/socsci11070271
Li, T., Liu, M., & Gong, K. (2024). Chinese pre-university teachers’ foreign language anxiety, teaching anxiety, and teacher self-efficacy. International Journal of Teacher Education and Professional Development, 7(1), 1–19. doi:10.4018/IJTEPD.343516
Lo, C. K., & Hew, K. F. (2021). Student engagement in mathematics flipped classrooms: Implications of journal publications from 2011 to 2020. Frontiers in Psychology, 12, Article 672610. doi:10.3389/fpsyg.2021.672610
Lu, X., & Kaiser, G. (2022). Creativity in students’ modelling competencies: Conceptualisation and measurement. Educational Studies in Mathematics, 109(2), 287–311. doi:10.1007/s10649-021-10055-y
Lyon, J. A., & Magana, J. (2020). Computational thinking in higher education: A review of the literature. Computer Applications in Engineering Education, 28(5), 1174–1189. doi:10.1002/cae.22295
Maass, K., Swan, M., & Aldorf, A.-M. (2017). Mathematics teachers’ beliefs about inquiry-based learning after a professional development course–an international study. Journal of Education and Training Studies, 5(9), 1. doi:10.11114/jets.v5i9.2556
Moreno-Guerrero, A.-J., Rondón García, M., Martínez Heredia, N., & Rodríguez-García, A.-M. (2020). Collaborative learning based on harry potter for learning geometric figures in the subject of mathematics. Mathematics, 8(3), 369. doi:10.3390/math8030369
Nardi, M. D., French, E., & Jones, J. B. (2020). Savings after retirement: A survey. Annual Review of Economics, 12, 409–438. doi:10.1146/annurev-economics-022620-031127
Natalija, B., Lavicza, Z., Fenyvesi, K., & Milinković, D. (2019). Developing primary school students’ formal geometric definitions knowledge by connecting origami and technology. International Electronic Journal of Mathematics Education, 15(2). doi:10.29333/iejme/6266
Olawale, B. E., & Hendricks, W. (2024). Mathematics teachers’ self-efficacy beliefs and its relationship with teaching practices. Eurasia Journal of Mathematics, Science and Technology Education, 20(1), Article em2392. doi:10.29333/ejmste/14123
Page, M. J., McKenzie, J. E., Bossuyt, P. M., Boutron, I., Hoffmann, T. C., Mulrow, C. D., . . . Moher, D. (2021). The PRISMA 2020 statement: An updated guideline for reporting systematic reviews. BMJ, 372, n71. doi:10.1136/bmj.n71
Septian, A. (2022). Student’s mathematical connection ability through GeoGebra assisted project-based learning model. Jurnal Elemen, 8(1), 89–98. doi:10.29408/jel.v8i1.4323
Slavin, R. E., & Lake, C. (2008). Effective programs in elementary mathematics: A best-evidence synthesis. Review of Educational Research, 78(3), 427–515. doi:10.3102/0034654308317473
Su, Y.-S., Cheng, H.-W., & Lai, C.-F. (2022). Study of virtual reality immersive technology enhanced mathematics geometry learning. Frontiers in Psychology, 13, Article 760418. doi:10.3389/fpsyg.2022.760418
Suib, A. F., Ghazali, P. L., Alias, N., Mohamed, M. A., & Abdul Halim, B. (2024). An approach of fuzzy Delphi method (fdm) to develop the risk management index in special education mathematics. Contemporary Mathematics, 2913–2925. doi:10.37256/cm.5320243545
Tamur, M., Juandi, D., & Adem, A. M. G. (2020). Realistic mathematics education in Indonesia and recommendations for future implementation: A meta-analysis study. JTAM | Jurnal Teori Dan Aplikasi Matematika, 4(1), 17. doi:10.31764/jtam.v4i1.1786
Vinogradova, M. (2021). Interdisciplinary connections in teaching mathematical and environmental disciplines to students. E3S Web of Conferences, 258, Article 10013. doi:10.1051/e3sconf/202125810013
Wahono, B., Lin, P.-L., & Chang, C.-Y. (2020). Evidence of stem enactment effectiveness in Asian student learning outcomes. International Journal of Stem Education, 7(1). doi:10.1186/s40594-020-00236-1
Wang, J., Mao, Y., Li, J., Xiong, Z., & Wang, W.-X. (2015). Predictability of road traffic and congestion in urban areas. PLOS One, 10(4), Article e0121825. doi:10.1371/journal.pone.0121825
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