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Abstract

This chapter presents partial results of a qualitative case study involving five students from a rural educational institution. The students, motivated by making sense of mathematics beyond the classroom, chose topics for the mathematical modelling of coffee farming. They detected some variables found in the cultural practice of coffee growing and then limited the modelling problem so some of their beliefs began to emerge. Results show that some students’ beliefs about culture or contextual knowledge did not remain static throughout the study.

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References

  • Araújo, J. D. L. (2009). Uma abordagem Sócio-Crítica da modelagem matemática: A perspectiva da educação matemática crítica. ALEXANDRIA Revista de Educação em Ciência e Tecnologia, 2(2), 55–68.

    Google Scholar 

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

    Article  Google Scholar 

  • Berrío, M. (2012). Elementos que intervienen en la construcción que hacen los estudiantes frente a los modelos matemáticos. El caso del cultivo de café. Unpublished master’s degree dissertation. Universidad Nacional de Colombia.

    Google Scholar 

  • Blomhøj, M. (2004). Mathematical modelling - a theory for practice. In B. Clarke (Ed.), International perspective on learning and teaching mathematics (pp. 145–159). Göteborg: National Center for Mathematics Education.

    Google Scholar 

  • Blum, W., & Borromeo Ferri, R. (2009). Mathematical modelling: Can it be taught and learnt? Journal of Mathematical Modelling and Application, 1(1), 45–58.

    Google Scholar 

  • Borba, M., & Villarreal, M. (2005). Humans-with-media and the reorganization of mathematical thinking. New York: Springer.

    Google Scholar 

  • Busse, A., & Kaiser, G. (2003). Context in application and modelling—an empirical approach. In Q.-X. Ye, W. Blum, S. K. Houston, & Q.-Y. Jiang (Eds.), Mathematical modelling in education and culture: ICTMA 10 (pp. 3–15). Chichester: Horwood.

    Chapter  Google Scholar 

  • Christiansen, I. (1999). Reflexiones críticas sobre modelos matemáticos en la clase: Sueño o realidad? Revista EMA, 5(1), 29–50.

    Google Scholar 

  • Creswell, J. W. (2008). Educational research. Planning, conducting, and evaluating quantitative and qualitative research. Upper Saddle River: Pearson, Prentice Hall.

    Google Scholar 

  • D’ Ambrosio, U. (2005). Sociedade, cultura, matemática e seu ensino. Educação e Pesquisa, 31(1), 99–120.

    Article  Google Scholar 

  • D’ Ambrosio, U. (2009). Mathematical modeling: Cognitive, pedagogical, historical and political dimensions. Journal of Mathematical Modelling and Application, 1(1), 89–98.

    Google Scholar 

  • Ministerio de Educación Nacional. (2006). Estándares Básicos de Competencia. Bogotá-Colombia: Cooperativa Editorial Magisterio.

    Google Scholar 

  • Muñoz, L., Londoño, S., Jaramillo, C., & Villa-Ochoa, J. A. (2014). Contextos auténticos y la producción de modelos matemáticos escolares. Revista Virtual Universidad Católica del Norte, 42, 48–62.

    Google Scholar 

  • Rosa, M., Reis, F., & Orey, D. (2012). A Modelagem Matemática Crítica nos Cursos de Formação de Professores de Matemática. Acta Scientiae, 14(2), 159–184.

    Google Scholar 

  • Stake, R. E. (2007). Investigación con estudio de casos. Madrid: Morata.

    Google Scholar 

  • Stillman, G. (2000). Impact of prior knowledge of task context on approaches to applications tasks. The Journal of Mathematical Behavior, 19(3), 333–361. doi:10.1016/S0732-3123(00)00049-3.

    Article  Google Scholar 

  • Villa-Ochoa, J. A., & López, C. M. J. (2011). Sense of reality through mathematical modelling. In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling (pp. 701–711). New York: Springer.

    Chapter  Google Scholar 

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Correspondence to Jhony Alexander Villa-Ochoa .

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Villa-Ochoa, J.A., Berrío, M.J. (2015). Mathematical Modelling and Culture: An Empirical Study. In: Stillman, G., Blum, W., Salett Biembengut, M. (eds) Mathematical Modelling in Education Research and Practice. International Perspectives on the Teaching and Learning of Mathematical Modelling. Springer, Cham. https://doi.org/10.1007/978-3-319-18272-8_19

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