Si Enrique VIII tuvo 6 esposas, ¿cuántas tuvo Enrique IV? El realismo en educación matemática y sus implicaciones docentes
DOI:
https://doi.org/10.35362/rie430752Keywords:
enseñanza de la matemática, problemas ejemplaresAbstract
The goal of this article is to reflect on reality as a point we refer to during our labor as teachers, paying special attention to false realities, which still exist in our teaching practices, and pointing out desirable characteristics for educational realism. Most of the time dedicated to the teaching of mathematics is spent solving repetitive exercises, afar from every day life. This article presents exercises taken from textbooks that exemplify the trend toward problems which are afar from reality and every day life. This kind of problem hinders students from been interested in the discipline. Finally, this article proposes ten model exercises that present mathematics as a tool useful for interpreting and modeling reality, able to surprise and move and necessary at the moment of making decisions from the point of view of a citizen.
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Bibliografía
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- (1998): Contar bien para vivir mejor. Barcelona: Rubes.
- (1998): Neither a Microscope nor a Telescope, Just a Mathscope. Proceed. International Community of Teachers of Mathematical Modelling and Applications - ICTMA 8.
- (2000): La matemática hermosa se enseña con el corazón. Buenos Aires: OMA.
ALSINA, C. y FORTUNY, J. M. (1993): La matemática del consumidor. Barcelona: Instituto Catalán del Consumo, Generalitat de Catalunya.
ALSINA, C. y OTROS (1996): Enseñar matemáticas. Barcelona: Graó.
BLUM, W. y NISS, M. (1991): "Applied Mathematical Problem Solving, Modeling, Applications and Links to Other Subjects-State, Trends and Issues in Mathematics Instruction", en W. Blum, M. Niss e I. Huntley (eds.): Modeling, Applications and Applied Problem Solving-Teaching Mathematics in a Real Context. Chichester: Ellis Horwood, 1989, pp. 1-21.
DAVIS, P. J. y HERSH, R. (1981): The Mathematical Experience. Boston: Birkhauser.
LANGE, J. de (1987): Mathematics, Insight and Meaning. Utrecht: OW & OC.
- (1996): "Real Problems with Real World Mathematics", en Proceedings of the 8.th International Congress on Mathematical Education (ICME-8), 14-21 de julio. Sevilla, pp. 83-109.
LANGE, J. de y OTROS (eds.) (1993): Innovation in Maths Education by Modelling and Applications. Chichester: Ellis Horwood Ltd.
DEVLIN, K. (1997): "Why we Should Reduce Skills Teaching in the Math Class", en The Mathematical Association of America (MAA) Newsletter Focus.
FREUDENTHAL, H. (1983): "Major Problems in Mathematics Education", en M. Zweng y otros (eds.): Proceedings of the Fourth International Congress on Mathematical Education. Boston: Birkhauser.
- (1983): Didactical Phenomenology of Mathematical Structures. Dordrecht: Reidel.
GARFUNKEL, S. (ed.) (1997): Principles and Practice of Mathematics. Nueva York: COMAP, Springer-Verlag.
GARFUNKEL, S. y OTROS (1989): For All Practical Purposes: An Introduction to Contemporary Mathematics. Lexington: the Consortium for Mathematics and Its Applications
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- (1998-2000): Mathematics: Modeling Our World (MMOW). (Arise Project). Lexington: COMAP.
MALKEVITCH, J. (1984): The Mathematical Theory of Elections. Arlington, MA: COMAP.
MOORE, D. S. (1995): The Basic Practice of Statistics. Nueva York: W. H. Freeman.
NISS, M. (1989): "Aims and Scope of Applications and Modeling in Mathematics Curricula", en W. Blum y otros (eds.): Applications and Modeling in Learning and Teaching Mathematics, pp. 22-31. Chichester: Ellis Horwood.
- (1992): "Applications and Modeling in School Mathematics
- Directions for Future Developments", en Developments in School Mathematics Around the World, vol. 3. Reston, VA: National Council of Teachers of Mathematics (NCTM), pp.196-200.
PAULOS, J. A. (1996): El hombre anumérico. Barcelona: Tusquets.
- (1997): Un matemático lee el periódico. Barcelona: Tusquets.
POLLAK, Henry O. (1997): "Solving Problems in the Real World", en L. Steen (ed.): Why Numbers Count: Quantitative Literacy for Tomorrow's America. Nueva York: The College Board.
RAMÍREZ, V. (1986): "Matemática aplicada a la distribución de escaños. Método de reparto P.R.I.", en Epsilon: Revista de la Sociedad Andaluza de Educación Matemática "Thales", n.º 6-7, pp. 17-32.
RAMÍREZ, V. y RAE, D. (1993): El sistema electoral español. Madrid: McGraw Hill.
ROMBERG, T. A. y DE LANGE J. (eds.) (1997): Mathematics in Context. Chicago, EBEC.
STEEN, L. A. (1994): For All Practical Purposes: An Introduction to Contemporary Mathematics. Lexington: COMAP, W. H. Freeman Co. Nueva York. (1999) Versión española: Las matemáticas en la vida cotidiana. Madrid: Addison-Wesley-Universidad Autónoma de Madrid (UAM).
ALSINA, C. (1995): Una matemática feliz y otras conferencias. Buenos Aires: OMA.
- (1998): Contar bien para vivir mejor. Barcelona: Rubes.
- (1998): Neither a Microscope nor a Telescope, Just a Mathscope. Proceed. International Community of Teachers of Mathematical Modelling and Applications - ICTMA 8.
- (2000): La matemática hermosa se enseña con el corazón. Buenos Aires: OMA.
ALSINA, C. y FORTUNY, J. M. (1993): La matemática del consumidor. Barcelona: Instituto Catalán del Consumo, Generalitat de Catalunya.
ALSINA, C. y OTROS (1996): Enseñar matemáticas. Barcelona: Graó.
BLUM, W. y NISS, M. (1991): "Applied Mathematical Problem Solving, Modeling, Applications and Links to Other Subjects-State, Trends and Issues in Mathematics Instruction", en W. Blum, M. Niss e I. Huntley (eds.): Modeling, Applications and Applied Problem Solving-Teaching Mathematics in a Real Context. Chichester: Ellis Horwood, 1989, pp. 1-21.
DAVIS, P. J. y HERSH, R. (1981): The Mathematical Experience. Boston: Birkhauser.
LANGE, J. de (1987): Mathematics, Insight and Meaning. Utrecht: OW & OC.
- (1996): "Real Problems with Real World Mathematics", en Proceedings of the 8.th International Congress on Mathematical Education (ICME-8), 14-21 de julio. Sevilla, pp. 83-109.
LANGE, J. de y OTROS (eds.) (1993): Innovation in Maths Education by Modelling and Applications. Chichester: Ellis Horwood Ltd.
DEVLIN, K. (1997): "Why we Should Reduce Skills Teaching in the Math Class", en The Mathematical Association of America (MAA) Newsletter Focus.
FREUDENTHAL, H. (1983): "Major Problems in Mathematics Education", en M. Zweng y otros (eds.): Proceedings of the Fourth International Congress on Mathematical Education. Boston: Birkhauser.
- (1983): Didactical Phenomenology of Mathematical Structures. Dordrecht: Reidel.
GARFUNKEL, S. (ed.) (1997): Principles and Practice of Mathematics. Nueva York: COMAP, Springer-Verlag.
GARFUNKEL, S. y OTROS (1989): For All Practical Purposes: An Introduction to Contemporary Mathematics. Lexington: the Consortium for Mathematics and Its Applications
(COMAP). (1999) Versión española: Las matemáticas en la vida cotidiana. Madrid: Addison-Wesley-Universidad Autónoma de Madrid (UAM).
- (1998-2000): Mathematics: Modeling Our World (MMOW). (Arise Project). Lexington: COMAP.
MALKEVITCH, J. (1984): The Mathematical Theory of Elections. Arlington, MA: COMAP.
MOORE, D. S. (1995): The Basic Practice of Statistics. Nueva York: W. H. Freeman.
NISS, M. (1989): "Aims and Scope of Applications and Modeling in Mathematics Curricula", en W. Blum y otros (eds.): Applications and Modeling in Learning and Teaching Mathematics, pp. 22-31. Chichester: Ellis Horwood.
- (1992): "Applications and Modeling in School Mathematics
- Directions for Future Developments", en Developments in School Mathematics Around the World, vol. 3. Reston, VA: National Council of Teachers of Mathematics (NCTM), pp.196-200.
PAULOS, J. A. (1996): El hombre anumérico. Barcelona: Tusquets.
- (1997): Un matemático lee el periódico. Barcelona: Tusquets.
POLLAK, Henry O. (1997): "Solving Problems in the Real World", en L. Steen (ed.): Why Numbers Count: Quantitative Literacy for Tomorrow's America. Nueva York: The College Board.
RAMÍREZ, V. (1986): "Matemática aplicada a la distribución de escaños. Método de reparto P.R.I.", en Epsilon: Revista de la Sociedad Andaluza de Educación Matemática "Thales", n.º 6-7, pp. 17-32.
RAMÍREZ, V. y RAE, D. (1993): El sistema electoral español. Madrid: McGraw Hill.
ROMBERG, T. A. y DE LANGE J. (eds.) (1997): Mathematics in Context. Chicago, EBEC.
STEEN, L. A. (1994): For All Practical Purposes: An Introduction to Contemporary Mathematics. Lexington: COMAP, W. H. Freeman Co. Nueva York. (1999) Versión española: Las matemáticas en la vida cotidiana. Madrid: Addison-Wesley-Universidad Autónoma de Madrid (UAM).
How to Cite
Alsina, C. (2007). Si Enrique VIII tuvo 6 esposas, ¿cuántas tuvo Enrique IV? El realismo en educación matemática y sus implicaciones docentes. Iberoamerican Journal of Education, 43, 85–101. https://doi.org/10.35362/rie430752
Published
2007-01-01
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Monograph articles
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