An innovative proposal for the inclusion of moral values in mathematics teaching
Abstract
The aim of this article is twofold: 1) to document the design of an innovative teaching sequence that links problems related to the concept of piecewise function with questions involving moral dilemmas; 2) to analyze how middle school students (17-18 years old) establish a relationship between the mathematical concept and specific moral values when responding to the dilemmas. The methodology used was drawn on considerations of a socio-formal approach to the learner. The analysis was made on the basis of students’ written and spoken discourse during the classroom. Results indicate that, in responding to dilemmas, students manage to manipulate the concept of piecewise function not only in terms of its mathematical meaning, but also of its moral value. We conclude that the didactic sequence may help to organize a more comprehensive teaching for mathematics students.Keywords
Mathematics teaching, Didactic innovation, Moral value, Concept of piecewise function, Moral dilemmasReferences
Bishop, A. J. (2008). Mathematics teaching and values education: An intersection in need of research. En P. Clarkson y N. Presmeg (Eds.), Critical issues in mathematics education. Major contributions of Alan Bishop (pp. 231-238). Nueva York: Springer.
Bloch, I. (2003). Teaching functions in a graphic milieu: What forms of knowledge enable students to conjecture and prove? Educational Studies in Mathematics, 52(1), 3-28. https://doi.org/10.1023/A:1023696731950
Brousseau, G. (1997). Theory of Didactical Situations in Mathematics. (N. Balacheff, M. Cooper, R. Sutherland, y S. Warfield, Trads.). Londres: Kluwer.
Buzzelli, C. A. y Johnston, B. (2002). The moral dimensions of teaching: Language, power, and culture in classroom interaction. Nueva York: Routledge Falmer.
Díaz-Quezada, V. y Poblete-Letelier, A. (2013). Resolución de problemas en matemáticas y su integración con la enseñanza de valores éticos: El caso de Chile. Boletín de Educaçao Matemática 27(45), 117-141.
Díaz-Quezada, V. y Poblete-Letelier, A. (2014). Resolución de problemas en matemáticas desde la transversalidad: Educar en valores éticos. Paradígma, 35(2), 155-182.
Falkenberg, T. (2006). Moral education in the teaching of mathematics. En J. Novotná, H. Moraova, M. Kratka y N. Stehlikova (Eds.), Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education (vol. 3, pp. 49-56). Praga: PME.
Gutstein, E. (2006). Reading and writing the world with mathematics. Toward a pedagogy for social justice. Londres: Routledge.
Hansen, D. T. (2001). Teaching as a moral activity. En V. Richardson (Ed.), Handbook of research on teaching (4.a ed.) (pp. 826-857). Washington, DC: American Educational Research Association.
Leinhardt, G., Zaslavsky, O. y Stein, M. K. (1990). Functions, graphs, and graphing: Tasks, learning, and teaching. Review of Educational Research, 60(1), 1-64. https://doi.org/10.2307/1170224
Monk, G. S. (1994). Students’ understanding of functions in calculus courses. Humanistic Mathematics Network, 9(7), 21-27. https://doi.org/10.5642/hmnj.199401.09.07
Planas, N. (2011). Language identities in students’ writings about group work in their mathematics classroom. Language and Education, 25(2), 129-146. https://doi.org/10.1080/09500782.2011.552725
Planas, N. y Civil, M. (2009). Working with mathematics teachers and immigrant students: An empowerment perspective. Journal of Mathematics Teacher Education, 12(6), 391-409. https://doi.org/10.1007/s10857-009-9116-1
Sfard, A. (1992). Operational origins of mathematical objects and the quandary of reification: The case of function. En E. Dubinsky y G. Harel (Eds.), The concept of function: Aspects of epistemology and pedagogy (pp. 59-84). Nueva York: Mathematical Association of America.
Sigarreta, J. y Laborde, J. M. (2003). Modelo didáctico para la formación axiológica a través de la resolución de problemas matemáticos. Revista Digital: Matemática, Educación e Internet, 4(1). https://revistas.tec.ac.cr/index.php/matematica/article/download/2300/2091
Sigarreta, J. y Torres, J. (2003). Utilización de los problemas matemáticos en la formación de valores. Revista EMA, 8(2), 208-225.
Tobón-Tobón, S., Pimienta-Prieto, J. y García-Fraile, J. A. (2010). Secuencias didácticas: Aprendizaje y evaluación de competencias. Ciudad de México: Pearson.
UNESCO (2016). Marco conceptual para la evaluación de competencias. http://www.ibe.unesco.org/sites/default/files/resources/ipr4-roegiers-competenciesassessment_spa.pdf
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