Abstract
In agreement with the elements of the statistics education theoretical framework, as well as critical education, mathematical modelling allows the possibility of pedagogical projects that value interdisciplinarity and active participation of the student in knowledge construction. In this chapter, we present a scenario that occurred in the statistics discipline of an undergraduate course. We adopt Critical Education practices to discuss global warming, its causes and consequences for society.
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Notes
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Park test consists in making the following regression: ln u2 i = α + β.ln Xi + νi. If β turns out to be statistically significant, it would suggest that heteroscedasticity is present in the data (Gujarati 2004).
References
Ben-Zvi, D. (2008). Research on developing statistical reasoning: Reflections, lessons learned, and challenges. 11th International Congress on Mathematical Education (ICME-11) Annals. Monterrey: Universidad Autonoma de Nuevo Leon. http://www.icme11.org/node/1530.html
Campos, C. R. (2007). A educação estatística: uma investigação acerca dos aspectos relevantes à didática da estatística em cursos de graduação. Doctoral thesis. Rio Claro: UNESP-IGCE.
Campos, C. R., Wodewotzki, M. L. L., & Jacobini, O. R. (2011). Educação Estatística – teoria e prática em ambientes de Modelagem Matemática. Belo Horizonte: Autêntica.
Chance, B. L. (2002). Components of statistical thinking and implications for instruction and assessment. Journal of Statistics Education, 10(3). http://www.amstat.org/publications/jse/v10n3/chance.html
delMas, R. C. (2002). Statistical literacy, reasoning and learning: A commentary. Journal of Statistics Education, 10(3). http://www.amstat.org/publications/jse/v10n3/delmas.html
Engel, J., & Kuntze, S. (2011). From data to functions: Connecting modelling competencies and statistical literacy. In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling (pp. 397–406). New York: Springer.
Freire, P. (1974). Education for critical consciousness. New York: Continuum.
Freire, P. (1998). Pedagogy of freedom: Ethics, democracy, and civic courage (trans: Clarke, P.). Lanham: Rowman & Littlefield.
Freire, P. (2000). Pedagogy of the oppressed. New York: Continuum.
Gal, I. (2004). Statistical literacy: Meanings, components, responsibilities. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning and thinking (pp. 47–78). Dordrecht: Kluwer.
Garfield, J. B. (2002). The challenge of developing statistical reasoning. Journal of Statistics Education, 10(3). (http://www.amstat.org/publications/jse/v10n3/garfield.html)
Garfield, J. B., & Ben-Zvi, D. (2008). Developing students’ statistical reasoning – Connecting research and teaching practice. New York: Springer.
Giroux, H. (1988). Teachers as intellectuals: Toward a critical pedagogy of learning. Westport: Bergin and Garvey Press.
Giroux, H. (2010). Lessons from Paulo Freire. Chronicle of Higher Education. Washington, DC. Retrieved October 20, 2010, from http://chronicle.com/article/Lessons-From-Paulo-Freire/124910/
Guggenheim, D., Bender, L., Buena, S. Z., & David, L. (2006). An inconvenient truth. [movie]. Directed by David Guggenheim and produced by Lawrence Bender, Scott Z. Burns and Laurie David. USA, 94 min, digital (computer).
Gujarati, D. N. (2004). Basic econometrics (4th ed.). New York: McGraw-Hill.
Habermas, J. (1971). Knowledge and human interests. Boston: Beacon Press.
Kuntze, S., Lindmeier, A., & Reiss, K. (2008). Using models and representations in statistical contexts as a sub-competency of statistical literacy – Results from three empirical studies. 11th international congress on mathematical education (ICME-11) annals. Monterrey: Universidad Autonoma de Nuevo Leon. http://tsg.icme11.org/document/get/474
McLaren, P. (2000). Paulo Freire’s pedagogy of possibility. In S. Steiner, H. Krank, P. McLaren, & R. Bahruth (Eds.), Freirean pedagogy, praxis and possibilities: Projects for the new millennium (pp. 1–22). New York: Falmer Press.
Mukhopadhyay, S., & Greer, B. (2001). Modeling with purpose: Mathematics as a critical tool. In B. Atweh, H. Forgasz, & B. Nebres (Eds.), Sociocultural research on mathematics education: An international perspective (pp. 295–311). Mahwah: Erlbaum.
Niss, M. (1983). Considerations and experiences concerning integrated courses in mathematics and other subjects. In M. Zweng et al. (Eds.), Proceedings of the fourth international congress on mathematical education (pp. 247–249). Boston: Birkhäuser.
Pfannkuch, M., & Wild, C. (2004). Towards an understanding of statistical thinking. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning and thinking (pp. 17–46). Dordrecht: Kluwer.
Rumsey, D. J. (2002). Statistical literacy as a goal for introductory statistics courses. Journal of Statistics Education, 10(3). www.amstat.org/publications/jse/v10n3/rumsey2.htm
Skovsmose, O. (1985). Mathematical education versus critical education. Educational Studies in Mathematics, 16(4), 337–354.
Skovsmose, O. (1992). Democratic competence and reflective knowing in mathematics. For the Learning of Mathematics, 12(2), 2–11.
Skovsmose, O. (1994). Towards a philosophy of critical mathematics education. Dordrecht: Kluwer.
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Campos, C.R., Ferreira, D.H.L., Jacobini, O.R., Wodewotzki, M.L.L. (2015). Mathematical Modelling in the Teaching of Statistics in Undergraduate Courses. 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_42
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