Mathematics for teaching rational numbers from ecology to elementary school students
Abstract
The development of educational activities for knowledge of rational numbers and the relationship that can be had with ecological elements provided by the medium, allows us to set
purposes to analyze the factors that influence the learning process of mathematics in students of Basic Primary Education, where the lack of ownership of the concept, difficulties in modeling and the resolution of context-related problems are evident. The objective of this research was to design didactic strategies for teaching rational numbers from an ecological environment. The methodology used was from a practical and experimental research study; where the necessary procedures are applied to carry out the investigation. In the process, methodological guides were constructed using ecological elements, which allowed to develop the conceptualization of rational numbers. The information was collected through pilot tests that show the progress that students made at the conceptual level by the development of the proposed activities.
Finally, a theoretical reflection that fits the characteristics and conditions of conceptual analysis (Rico, 2000) is made. Since its ecological environment, four activities that meet the goals in the study of rational numbers (conceptual structure, representation systems, contexts and ways to use) were constructed. From the collection of the information, the data were analyzed, different meanings were identified and ascribed to the conceptualization that students can do in the development of learning rational numbers, factors were identified from nature that making good use of them, become a motivating factor in the process of meaningful learning of mathematics.
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Amaya Correa, Daniel.El m ́etodo DOFA, un m ́etodo muy utilizado para diagn ́ostico de vulnerabilidady planeaci ́on estrat ́egica.Evaluaci ́on de Proyectos E.A.F.I.T. Medell ́ın. Abril de 2010
Ausubel-Novak-Hanesian.Psicolog ́ıa Educativa: Un punto de vista cognoscitivo.Segunda Edici ́on.Editorial TRILLAS. M ́exico.1983.
Ausubel, D.; Novak, J.; Hanesian, H. (1990).Psicolog ́ıa Educativa: Un punto de vista cognoscitivo.M ́exico: Editorial Trillas.
Ball, D. (1990).Preservice elementary and secondary teachers ˆa understanding of division.Journal forResearch in Mathematics Education, Barquero, B. (2009) Ecolog ́ıa de la Modelizaci ́on Matem ́atica enla ense ̃nanza universitaria de las Matem ́aticas, Tesis Doctoral, UAB
UNESCO.Aportes para la ense ̃nanza de la Matem ́atica. Santiago, Chile; enero, 2009. ISBN 978-956-322-004-9.
Behr, M. J., Lesh, R. Post, T. R. y Silver, E. A. (1983).Rational number concept. En R. Lesh y M. Lan-dau (Eds.), Acquisitions of Mathematics Concepts and Processes(pp. 91-126). New York: AcademyPress.
Brousseau, G. (1986)Fondements et m ́ethodes de la didactique des math ́ematiques.Recherches enDidactique des Math ́ematiques, 7/2, pp. 33-115
Bruner, J. (1973).The relevance of education.New York: The Norton Library.
Chevallard, Y. (1999)El an ́alisis de las pr ́acticas docentes en la teor ́ıa antropol ́ogica de lo did ́actico.Recherches en Didactique des Math ́ematiques, 19/2, pp. 221-266
Coll, Cesar.Aprendizaje escolar y construcci ́on del conocimiento.Editorial Paid ́os. Buenos Aires,Argentina. 1990.[11] Consuelo Fern ́andez Carreira (2013),Principales dificultades en el aprendizaje de las matem ́aticas.Pautas para maestros de educaci ́on primaria. Universidad Internacional la Rioja
Contreras, L. (s.f.).Fracciones, decimales y porcentajes.Recuperado 22 de mayo de 2015, a partir dehttp://www.uhu.es/luis.contreras/temasdocentes/tema3.htm[13] Edilberto Cepeda Cuervo (2003-2004),Factores asociados al logro Cognitivo en matem ́aticas.Uni-versidad Nacional de Colombia.
Edwin Chaves Esquivel, Mario Castillo S ́anchez, Ronny Gamboa Araya (2008),Creencias de los Es-tudiantes en los Procesos de Aprendizaje de las Matem ́aticas.Escuela de Matem ́atica. UniversidadNacional.19
G. Oviedo, I. Gonzales, L. Saravia, A. Galindo/Matua Revista MATUA VOL: VI (2020) p ́gina: 20–2020
Ernal Buitrago, Imelda. (1999).Aventura matem ́atica. Colombia, Editorial Norma.S. A., 1999.ES-TRATEGIAS PARA LA ENSE ̃NANZA DE LA MATEM ́ATICA. Educational Portal of the Americashttp://www.educoas.org
Fabio G ́omez Moreno (2012),Elementos Problem ́aticos en el Proceso de Ense ̃nanza de las Matem ́ati-cas en Estudiantes de la Instituci ́on Educativa Pedro Vicente Abad ́ıa. Universidad Nacional de Colom-bia
Flores Rebeca. Mart ́ınez Gustavo.Una construcci ́on de significado de la operatividad de los n ́ume-ros fraccionarios. Congreso Nacional de Investigaci ́on Educativa. ́area 5: educaci ́n y conocimientosdisciplinares.
Gloria Garc ́ıa O; Myriam Acevedo M. etˆaal (MEN, 2003),Est ́andares B ́asicos de Competencias enMatem ́aticas “Potenciar el pensamiento matem ́atico : ¡un reto escolar!”, Bogot ́a-Colombia
Jos ́e Manuel Ruiz socarras (2008),Problemas actuales de la Ense ̃nanza aprendizaje de la matem ́atica.Universidad de Camag ̈uey, Cuba.
Juan D. Godino, Carmen Batanero, Vicenc ̧ Font (2003),Fundamentos de la Ense ̃nanza y el aprendizajede las matem ́aticas para maestros, Facultad de Ciencias de la Educaci ́on Universidad de Granada.
Kieren, (1976).On the mathematical, cognitive and instructional foundation of rational numbers. Ohio.
Linares, R. (2002).An ́alisis sobre el uso de las analog ́ıas en los cursos del departamento de qu ́ımicade la universidad del valle. 2002.
Ministerio de Educaci ́on Nacional de Colombia Viceministerios de Educaci ́on Preescolar, B ́asica, Me-dia y Superior, Asociaci ́on Colombiana de Matem ́atica Educativa AsocolmeDocumento orientadorforo educativo nacional: Ciudadanos matem ́aticamente competentes. Bogot ́a, mayo 08 de 2014
MINISTERIO DE EDUCACI ́ON NACIONAL.Est ́andares B ́asicos de Competencias en Matem ́aticas.Bogot ́a, Colombia, 2006
MINISTERIO DE EDUCACI ́ON NACIONAL.Matem ́aticas, Lineamientos curriculares.Bogot ́a, Co-lombia, 1998
Moreira, M. ATeor ́ıa da Aprendizaje Significativa de David Ausubel. Fasc ́ıculos de CIEF. Universidadde R ́ıo Grande do Sul. Sao Paulo. 1993.
Moreira, M. (2002).Modelos mentales y modelos conceptuales en la ense ̃nanza aprendizaje de laF ́ısica en la investigaci ́on en este campo. XX Encuentros de Did ́actica de las Ciencias Experimentales,2002