Fostering the spirit of mathematical modelling in vocational education
DOI:
https://doi.org/10.7146/nomad.v30i4.164193Keywords:
mathematicsAbstract
This study explores the fostering of The Spirit of Mathematical Modelling in vocational education, within the Swedish Handicraft and Natural resource use programs. Through classroom observations, it identifies how two activities, hair colouring and sawing pattern, embody mathematical modelling aspects, highlighting collaboration, accountability, ample time, interdisciplinarity, situatedness and usefulness. The sawing pattern activity, in addition, emphasises agency, relevance, design and consultation. While fostering The Mathematical Modelling Spirit, the study notes the absence of justice and flow. It concludes by reflecting on the impact of these aspects on vocational mathematics education, their implications for career readiness and pedagogical opportunities. In addition, theoretical and methodological challenges are discussed.
References
Chih, T. (2021). Fostering collaboration in an asynchronous IBL modern geometry course. Primus: Problems, Resources & Issues in Mathematics Undergraduate Studies, 1–25. https://doi.org/10.1080/10511970.2021.1955781
Coben, D., & Weeks, K. W. (2014). Meeting the mathematical demands of the safety-critical workplace: Medication dosage calculation problem-solving for nursing. Educational Studies in Mathematics, 86(2), 253–270.
https://doi.org/10.1007/s10649-014-9537-3
Dalby, D., & Noyes, A.(2016). Locating mathematics within post-16 vocational education in England. Journal of Vocational Education & Training, 68(1), 70–86. https://doi.org/10.1080/13636820.2015.1110828
FitzSimons, G. E. (2014). Commentary on vocational mathematics education: Where mathematics education confronts the realities of people’s work. Educational Studies in Mathematics, 86(2), 291–305.
https://doi.org/10.1007/s10649-014-9556-0
FitzSimons, G. E. (2001). Is there a role for mathematical disciplinarity in productive learning for the workplace? Studies in Continuing Education, 23(2), 261–276. https://doi.org/10.1080/01580370120102000
FitzSimons, G., & Boistrup, L. (2017). In the workplace mathematics does not announce itself: Towards overcoming the hiatus between mathematics education and work. Educational Studies in Mathematics, 95(3), 329–349. https://doi.org/10.1007/s10649-017-9752-9
Frejd, P. (2018). What is the role and place of mathematics education in (Swedish) vocational education? International journal for research in mathematics education, 8(2), 16–29.
Frejd, P., & Muhrman, K. (2022). Is the mathematics classroom a suitable learning space for making workplace mathematics visible? – An analysis of a subject integrated team-teaching approach applied in different learning spaces. Journal of Vocational Education & Training, 74(2), 333–351.
https://doi.org/10.1080/13636820.2020.1760337
Frejd, P. & Vos, P. (2024). The spirit of mathematical modelling – a philosophical study on the occasion of 50 years of mathematical modeling education. Mathematics Enthusiast, 21(1), 269–300.
https://doi.org/10.54870/1551-3440.1626
Frejd, P., & Ärlebäck, J. B. (2024). Mathematical modelling in vocational mathematics education: A literature review focusing on vertical and horizontal mathematising. In H. S. Siller, V. Geiger & G. Kaiser (Eds.), Researching Mathematical Modelling Education in Disruptive Times. (pp. 127–136). Springer. https://doi.org/10.1007/978-3-031-53322-8_9
Frejd, P., Ärlebäck, J. B., & Vos, P. (2024). Fostering student’s mathematical literacy through mathematical modelling tasks. In O. H. Bolstad, S. Goodchild, & M. Goos (Eds.), International Perspectives on Teaching and Learning for Mathematical Literacy (pp. 178–203). Brill.
https://doi.org/10.1163/9789004710962_008
Jensen, C. B. (2022). Kompetansekonstruksjoner i matematikk og programfag: Utdanningsprogrammet bygg- og anleggsteknikk, videregående opplæring (Publication No. 381) [Doctoral thesis]. CRIStin.
Julie, C., & Mudaly, V. (2007). Mathematical modelling of social issues in school mathematics in South Africa. In W. Blum, P. Galbraith, H-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education: The 14th ICMI study. (pp. 503–510). Springer. https://doi.org/db7pqn
Kokkinos, J. (2009). Does prior-to-school mathematics exist in practice? Paper presented at the Third International Conference on Science and Mathematics Education (CoSEMEd), Penang, Malaysia.
LaCroix, L. (2014). Learning to see pipes mathematically: Preapprentices’ mathematical activity in pipetrades training. Educational Studies in Mathematics, 86(2), 157–176. http://dx.doi.org/10.1007/s10649-014-9534-6
Mouwitz, L. (2013). Rationality of practice and mathematical modelling: Connections, conflicts, and codifications, In G. A. Stillman, G. Kaiser, W. Blum, & J. P. Brown (Eds.), Teaching mathematical modelling: Connecting to research and practice (pp. 563–572). Springer.
Muhrman, K. (2016). Inget klöver utan matematik: En studie av matematik i yrkesutbildning och yrkesliv (Publication No. 194) [Doctoral thesis], Linköpings universitet.
Robson, C. (2002). Real world research: a resource for social scientists and practitioner-researchers (2. ed.). Blackwell.
Ryan, R. M., & Deci, E. L. (2002). Overview of self-determination theory: An organismic-dialectical perspective. In E. L. Deci & R. M. Ryan (Eds.), Handbook of self-determination research (pp. 3–33). University of Rochester Press.
Skog, L. (2013). Characterization of sawlogs using industrial X-ray and 3D scanning [Doctoral thesis], Luleå University of Technology.
Skolverket. (2012). The subject syllabus for mathematics. Retrieved from https://www.skolverket.se/download/18.4fc05a3f164131a74181063/1535372298267/Mathematics-swedish-school.pdf
Skolverket. (2022). Virkeslära 100p. Retrieved from https://www.skolverket.se/undervisning/gymnasieskolan/laroplan-program-och-amnen-i-gymnasieskolan/gymnasieprogrammen/amne?url=907561864%2Fsyllabuscw%2Fjsp%2Fsubject.htm%3FsubjectCode%3DSKG%26courseCode%3DSKGVIR0%26date%3D2024-05-05%26tos%3Dgy&sv.url=12.5dfee44715d35a5cdfa92a3#anchor_SKGVIR0
Skovsmose, O. (1994). Towards a philosophy of critical mathematics education. Kluwer. http://dx.doi.org/10.1007/978-94-017-3556-8
Strässer, R. (2007). Everyday instruments: On the use of mathematics. In W. Blum, P. L. Galbraith, H.-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education: The 14th ICMI Study (pp. 171–178). Springer.
Strässer, R. (2000). Mathematical means and models from vocational contexts. A German perspective. In A. Bessot & J. Ridgway (Eds.), Education for mathematics in the workplace (pp. 65–80). Kluwer.
Sundtjønn, T. P. (2021). Opportunities and challenges when students work with vocationally connected mathematics tasks (Publication No. 309) [Doctoral thesis]. CRIStin.
The Swedish Research Council. (2021). Matematikundervisning på yrkesprogram: Kontextens betydelse för elevers motivation och studieresultat (2021-04619).
Wake, G. (2007). Considering workplace activity from a mathematical modelling perspective. In W. Blum, P. L. Galbraith, H.-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education (pp. 395–402). Springer.
Wake, G. (2014). Making sense of and with mathematics: The interface between academic mathematics and mathematics in practice. Educational Studies in Mathematics, 86(2), 271–290. https://doi.org/10.1007/s10649-014-9540-8
Wedege, T. (2000). Mathematics knowledge as a vocational qualification. In A. Bessot & J. Ridgway (Eds.), Education for mathematics in the workplace (pp. 127–136). Kluwer.
Williams, J. S., & Wake, G. D. (2007). Black boxes in workplace mathematics. Educational Studies in Mathematics, 64(3), 317–343.
Downloads
Published
How to Cite
Issue
Section
License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.