Mathematisation and modeling: experiences and knowledge. A classroom proposal
DOI:
https://doi.org/10.15332/erdi.v5i2.1437Keywords:
Mathematization, modeling, scalelength, mathematical model, unit of measureAbstract
This article shows a didactic sequence framed in space environments and mediation training classroom of the Degree in Basic Education with emphasis on Mathematics, University Francisco José de Caldas. This sequence was applied and validated in teaching practice which took place in a District school in the city of Bogota, and had as main objective to develop the concept of scalelength, based on the relationships that exist between the mathematization and modeling, for which research work mathematisation Freudenthal (1968) was used.The sequence is based on a series of activities in second grade, building management methodology DECA model (1992). The most relevant results are related to how students through situations matematizables placed in a specific context, modeling reach metro, decimeter and centimeter as the unit of standard measure.
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Blomhøj, M. (2004). Mathematical modelling - A theory for practice. International Perspectives on Learning and Teaching Mathematics, 23, 145-159. Traducido por Maria Mina. Recuperado de http://www.famaf.unc.edu.ar/~revm/Volumen23/digital23-2/Modelizacion1.pdf
Chamorro, C., y Belmonte, M. (1994). El problema de la medida. Didáctica de las magnitudes lineales. Madrid: Síntesis.
Freudenthal, H. (1968). Why to teach mathematics as to be useful? Educational Studies in Mathematics, 1(1), 3-8.
Freudenthal, H. (1991). Revisiting Mathematics Education: China Lectures. Dordrecht, The Netherlands: Kluwer.
Gravemeijer, K., y Teruel, J. (2000). Hans Freudenthal, un matemático en didáctica y teoría curricular. J. Currículo Studies, 32, 14.
Grupo DECA. (1992). Orientaciones para el diseño y elaboración de actividades de aprendizaje y de evaluación. Aula, 6, 33-39.
Kieran, C. (1992). The learning and teaching of school algebra. In
D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (p. 390- 419). New York: Macmillan.
Lurdy, O., Guerrero, F., y Sánchez, N. (2005). La Práctica Docente a Partir del Modelo DECA y La Teoría De Las Situaciones Didácticas. V Festival Internacional de la Matemática. Bogotá.
Niss, M. (1989). Aims and scope of applications and modelling in Mathematics curricula. En W. Blum, y otros (Eds.). Applications and modelling in learning and teaching mathematics (pp. 22-31). Chicester, UK: Horwood Publishing.
Treffers, A., y Goffree, F. (1985). Rational analysis of realistic mathematics education – the Wiskobas program, in L. Streefland (ed.), Proceedings of the Ninth International Conference for the Psychology of Mathematics Education, OW & OC, Utrecht
University, Utrecht, The Netherlands.
Treffers, A. (1987). Three Dimensions. A Model of Goal and Theory Description in Mathematics Instruction – The Wiskobas Project. Reidel Publishing Company, Dordrecht, The Netherlands.
Treffers, A. (1991). Didactical background of a mathematics programm for primary education, in L. Streefland (ed.), Realistic Mathematics Education in Primary School, CD-ß Press / Freudenthal Institute, Utrecht University, Utrecht, The Netherlands.
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