Abstract
We offer an analysis of the mathematical modelling literature identifying local and global tendencies and the diversity of approaches to mathematical modelling. The review comprises 502 documents from two source types: articles published in relevant journals and specific books from the International Community of Teachers of Mathematical Modelling and Applications and the ICME conferences. We identify six top countries with significant numbers of publications and present relative distributions of percentages corresponding to mathematical modelling perspective, educational content, and unit of analysis (school level, job, or profession). The review shows that three countries account for half of the publications and that the educational content (mathematical or otherwise) may play a different role depending on the corresponding modelling perspective in specific countries.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Change history
10 April 2024
A correction has been published.
References
Araújo, J. L. (2010). Brazilian research on modelling in mathematics education. ZDM Mathematics Education, 42(3), 337–348.
Biembengut, M. S. (2009). 30 anos de modelagem matemática na educação brasileira: Das propostas primeiras às propostas atuais [30 years of mathematical modeling in Brazilian education: From the first proposals to the current proposals]. Alexandria: revista de educação em ciência e tecnología, 2(2), 7–32.
Blum, W., Galbraith, P. L., Henn, H., & Niss, M. (Eds.). (2007). Modelling and applications in mathematics education: The 14th ICMI Study. Springer.
Blum, W., & Niss, M. (1991). Applied mathematical problem solving, modelling, applications, and links to other subjects: State, trends and issues in mathematics instruction. Educational Studies in Mathematics, 22(1), 37–68.
Cevikbas, M., Kaiser, G., & Schukajlow, S. (2022). A systematic literature review of the current discussion on mathematical modelling competencies: State-of-the-art developments in conceptualizing, measuring, and fostering. Educational Studies in Mathematics, 109, 205–236.
English, L., Bergman, A., & Mousoulides, N. (2016). Reflections on progress in mathematical modelling research. In A. Gutiérrez, G. C. Leder, & P. Boero (Eds.), The second handbook of research on the psychology of mathematics education (pp. 383–413). Sense Publishers.
Frejd, P. (2013). Modes of modelling assessment—A literature review. Educational Studies in Mathematics, 84(3), 413–438.
Geiger, V., & Frejd, P. (2015). A reflection on mathematical modelling and applications in a field of research: Theoretical orientations and diversity. In G. A. Stillman, W. Blum, & M. S. Biembengut. (Eds.), Mathematical modelling in educational research and practice: Cultural, social and cognitive influences (pp. 161–171). Springer.
Kaiser, G., & Sriraman, B. (2006). A global survey of international perspectives on modelling in mathematics education. ZDM Mathematics Education, 38(3), 302–310.
Kawasaki, T., & Morija, S. (2011). Using modelling experiences to develop Japanese senior high school students’ awareness of the interactions between mathematics and science. In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in the teaching and learning of mathematical modelling (pp. 603–615). Springer.
Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis (2nd ed.). Sage.
Niss, M., Blum, W., & Galbraith, P. (2007). Introduction. In W. Blum, P. Galbraith, H. W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education: The 14th ICMI study (pp. 3–32). Springer.
Page, M. J., Moher, D., Bossuyt, P. M., Boutron, I., Hoffmann, T. C., Mulrow, C. D., … McKenzie, J. E. (2021). PRISMA 2020 explanation and elaboration: Updated guidance and exemplars for reporting systematic reviews. BJM. https://doi.org/10.1136/bmj.n71
Preciado Babb, A. P., Solares-Rojas, A., Peña, F., Ortiz, A., Sandoval-Rosas, M., Soriano-Velasco, R., Carrión-Vázquez, V., & Farrugia-Fuentes, M. (2018). Exploring perspectives on mathematical modelling: A literature survey. In E. Bergqvist, M. Österholm, C. Granberg, & L. Sumpter (Eds.), Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education Vol. 4 (pp. 3–10). PME.
Schukajlow, S., Kaiser, G., & Stillman, G. (2018). Empirical research on teaching and learning of mathematical modelling: A survey on the current state-of-the-art. ZDM Mathematics Education, 50(1–2), 5–18.
Stillman, G. A., & Brown, J. P. (Eds.). (2019). Lines of inquiry in mathematical modelling research in education. Springer.
Stohlmann, M. S., & Albarracín, L. (2016). What is known about elementary grades mathematical modelling. Education Research International, 2016, Article I5240683. https://doi.org/10.1155/2016/5240683
Strauss, A. L., & Corbin, J. M. (1998). Basics of qualitative research: Techniques and procedures for developing grounded theory (2nd ed.). Sage.
Toerner, G., & Arzarello, A. (2012). Grading mathematics education research journals. Newsletter of the European Mathematical Society, 86, 52–54.
Williams, S. R., & Leatham, K. R. (2017). Journal quality in mathematics education. Journal for Research in Mathematics Education, 48(4), 369–396.
Yoshimura, N. (2015). Mathematical modelling of a social problem in Japan: The income and expenditure of an electric power company. In G. Stillman, W. Blum, & M. S. Biembengut (Eds.), Mathematical modelling in education research and practice: International perspectives on the teaching and learning of mathematical modelling (pp. 251–261). Springer, Cham.
Acknowledgements
We acknowledge the support offered to this study from both the Mexican National Council of Science and Technology (CONACYT A1-S-33505) and the Canadian Social Sciences and Humanities Research Council (IGD-SSHRC 430-2019-00382).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Preciado Babb, A.P., Acuña, F.P., Rocha, Y.A.O., Rojas, A.S. (2023). Diversity of Perspectives on Mathematical Modelling: A Review of the International Landscape. In: Greefrath, G., Carreira, S., Stillman, G.A. (eds) Advancing and Consolidating Mathematical Modelling. International Perspectives on the Teaching and Learning of Mathematical Modelling. Springer, Cham. https://doi.org/10.1007/978-3-031-27115-1_3
Download citation
DOI: https://doi.org/10.1007/978-3-031-27115-1_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-27114-4
Online ISBN: 978-3-031-27115-1
eBook Packages: EducationEducation (R0)