Abstract
This chapter shows the research results of the analysis of how Colombian Year ten students built mathematical models, through the measurement of area and volume, in the context of the flooding of their school. This situation allowed the creation of mathematical models associated with the quadratic and cubic functions, which were obtained from the environmental situation that allowed the students their application. The study was a qualitative case study focussing on two pairs of students. It took into account the everyday environment, communication, prior experiences and the interaction of each member with the group. The aim of the study was to explore and analyse the different ways students build models and apply mathematical elements arising in an authentic context.
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Notes
- 1.
Territorial divisions in Colombia are called Departments.
References
Biembengut, M., & Hein, N. (2007). Modelagem Matemática no Ensino. Sao Paulo: Contexto.
Blum, W., & Borromeo, R. (2009). Mathematical modelling: Can it be taught and learnt? Journal of Mathematical Modelling and Application, 1(1), 45–58.
Del Olmo, M., Moreno, M., & Gil, F. (1993). Superficie y volumen: ¿algo más que el trabajo con fórmulas? Madrid: Sintesis, S.A.
Hays, P. (2004). Case study research. In K. DeMarrais & S. D. Lapan (Eds.), Foundations for research: Methods of inquiry in education and the social (pp. 217–234). Mahwah: Erlbaum.
Hein, N., & Biembengut, M. (2006). Modelaje matemático como método de investigación en clases de matemática (V Festival Internacional de Matemática. De Costa a Costa, pp. 1–25). Costa Rica: Educación Matemática.
Moreno-Armella, L., & Hegedus, S. J. (2011). The emergence of mathematical structures. Educational Studies in Mathematics, 77(2), 369–388.
Planas, N. (2002). Nociones Sociales Recontextualizadas en Educación Matemática: el Caso de la Competencia Comunicativa. VI Simposio de la SEIM, 175–186.
Skovsmose, O. (1999). Hacia una filosofía de la educación matemática critica. (P. Valero, Trad.) Colombia: Universidad de los Andes.
Stake, R. (1999). Investigación con estudio de casos (2nd ed.). Madrid: Morata.
Villa-Ochoa, J. A. (2007). La modelación como proceso en el aula de matemáticas. Un marco de referencia y un ejemplo. Tecno Lógicas, 19, 51–81.
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Quiroz, S.M.R., Orrego, S.M.L., López, C.M.J. (2015). Measurement of Area and Volume in an Authentic Context: An Alternative Learning Experience Through Mathematical Modelling. 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_18
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DOI: https://doi.org/10.1007/978-3-319-18272-8_18
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