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Develo** Conscious Citizens Through Mathematical Modelling

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Researching Mathematical Modelling Education in Disruptive Times

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Abstract

This study aimed to explore prospective mathematics teachers’ approaches to a mathematical modelling task focusing on water waste and how it affected their thoughts and attitudes regarding water use. Data were collected in an elective course on mathematical modelling for teachers through classroom videos, written group reports, individual reflection papers, and field notes. The findings revealed that the participants increased their civic consciousness and sense of action regarding water waste by working on the task and discussing the mathematical models that emerged. The applicability of mathematical modelling tasks for develo** conscious citizens is discussed considering the ideas of prospective mathematics teachers and relevant research literature.

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References

  • Aguirre, J. M., Anhalt, C. O., Cortez, R., Turner, E. E., & Simic-Muller, K. (2019). Engaging teachers in the powerful combination of mathematical modeling and social justice: The Flint water task. Mathematics Teacher Educator, 7(2), 7–26.

    Article  Google Scholar 

  • Barbosa, J. C. (2006). Mathematical modelling in classroom: A socio-critical and discursive perspective. ZDM-Mathematics Education, 38(3), 293–301.

    Article  Google Scholar 

  • Borromeo Ferri, R. (2006). Theoretical and empirical differentiations of phases in the modelling process. ZDM-Mathematics Education, 38(2), 86–95.

    Article  Google Scholar 

  • Doerr, H. M., & Lesh, R. (2011). Models and modelling perspectives on teaching and learning mathematics in the twenty-first century. In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling: ICTMA 14 (pp. 247–268). Springer.

    Google Scholar 

  • English, L. D., & Gainsburg, J. (2016). Problem solving in a 21st-century mathematics curriculum. In L. D. English & D. Kirshner (Eds.), Handbook of international research in mathematics education (pp. 313–335). Routledge.

    Google Scholar 

  • Julie, C., & Mudaly, V. (2007). Mathematical modelling of social issues in school mathematics in South Africa. In W. Blum, P. L. Galbraith, H. W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education: The 14th ICMI study (pp. 503–510). Springer.

    Chapter  Google Scholar 

  • Jung, H., & Magiera, M. T. (2023). Connecting mathematical modeling and social justice through problem posing. Mathematical Thinking and Learning, 25(2), 232–251.

    Article  Google Scholar 

  • Kaiser, G., & Sriraman, B. (2006). A global survey of international perspectives on modelling in mathematics education. ZDM-Mathematics Education, 38(3), 302–310.

    Article  Google Scholar 

  • Lesh, R., Cramer, K., Doerr, H. M., Post, T., & Zawojewski, J. S. (2003). Model development sequences. In R. Lesh & H. M. Doerr (Eds.), Beyond constructivism: Models and modeling perspectives on mathematics problem solving, learning, and teaching (pp. 3–33). Lawrence Erlbaum.

    Chapter  Google Scholar 

  • Maass, K., Doorman, M., Jonker, V., & Wijers, M. (2019). Promoting active citizenship in mathematics teaching. ZDM-Mathematics Education, 51, 991–1003.

    Article  Google Scholar 

  • Mischo, C., & MaaĂź, K. (2013). The effect of teacher beliefs on student competence in mathematical modeling—An intervention study. Journal of Education and Training Studies, 1(1), 19–38.

    Article  Google Scholar 

  • Orey, D. C., & Rosa, M. (2007). A dimensĂŁo crĂ­tica da modelagem matemática: Ensinando para a eficiĂŞncia sĂłciocrĂ­tica (A critical dimension of mathematical modeling: Teaching for social-critical efficiency). Horizontes, 25(2), 197–206.

    Google Scholar 

  • Rosa, M., & Orey, D. C. (2015). Socio-critical dimension of mathematical modelling. In G. A. Stillman, W. Blum, & M. S. Biembengut (Eds.), Mathematical modelling in education research and practice: Cultural, social and cognitive influences (pp. 385–395). Springer.

    Chapter  Google Scholar 

  • Stillman, G. A., Brown, J. P., Faragher, R., Geiger, V., & Galbraith, P. (2013). The role of textbooks in develo** a socio-critical perspective on mathematical modelling in secondary classrooms. In G. A. Stillman, G. Kaiser, W. Blum, & J. P. Brown (Eds.), Teaching mathematical modelling: Connecting to research and practice (pp. 361–371). Springer.

    Chapter  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics and Science Education, Middle East Technical University, Ankara, Turkey

    Cagla Adiguzel, Cagla Adiguzel, Bulent Cetinkaya & Ayhan Kursat Erbas

Authors
  1. Cagla Adiguzel
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  2. Bulent Cetinkaya
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  3. Ayhan Kursat Erbas
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Corresponding author

Correspondence to Cagla Adiguzel .

Editor information

Editors and Affiliations

  1. Institut für Mathematik, Universität Würzburg, Würzburg, Germany

    Hans-Stefan Siller

  2. Inst Learning Sciences and Teacher Educ., Australian Catholic University, Brisbane CBD, QLD, Australia

    Vince Geiger

  3. Didaktik der Mathematik, Universität Hamburg, Hamburg, Hamburg, Germany

    Gabriele Kaiser

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Adiguzel, C., Cetinkaya, B., Erbas, A.K. (2024). Develo** Conscious Citizens Through Mathematical Modelling. In: Siller, HS., Geiger, V., Kaiser, G. (eds) Researching Mathematical Modelling Education in Disruptive Times. International Perspectives on the Teaching and Learning of Mathematical Modelling. Springer, Cham. https://doi.org/10.1007/978-3-031-53322-8_40

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  • DOI: https://doi.org/10.1007/978-3-031-53322-8_40

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-53321-1

  • Online ISBN: 978-3-031-53322-8

  • eBook Packages: EducationEducation (R0)

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