Publication: El empleo de materiales en la enseñanza de la geometría
Authors
Villarroya Bullido, Florencio
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Publisher
Universidad de Zaragoza, Asociación Universitaria de Formación del Profesorado (AUFOP)
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Description
Abstract
En este artículo se presentan las ideas del autor sobre la utilización de los materiales concretos y su
manipulación en la enseñanza de la geometría. Se apoya en autores anteriores: Van Hiele, Freudenthal,Bkouche, Brousseau, para argumentar a favor del empleo selectivo de materiales como geometríaexperimental, o de nivel más bajo, que permita cambiar de nivel, el fin del material concreto es "el acto de
pensar del propio niño".En la seguna parte se presenta un ejemplo de utilización concreta de un material PLOT, polígonos
troquelados en cartón que se ensamblan para formar "embaldosados planos" o cuerpos en el espacio. En este
ejemplo se muestra como, partiendo de materiales concretos y a través de su manipulación, el estudiante, decualquier nivel, puede desarrollar sus capacidades de visualización geométrica, de abstracción, deracionalización, de generalización, de estructuración de materiales y objetos, concretos o no; es decir que se
presenta además la geometría como fuente de inspiración o camino de entrada a otros "barrios" de lasmatemáticas, de forma que se vean éstas "cargadas de relaciones".
In this paper, the author present his ideas about the investment of de concrete materials and itsmanipulation to the geometry teaching. His argument is based in the formers authors: Van Hiele, Freudenthal,Bkouche, Brousseau, to argued in favour of the selective investment of the materials in the experimentalgeometry, or the bottom level, that allows to change of upper level, the aim of the concrete material is "the thinking action of the child".In the second part, he presents one example to concret investment of one concrete material: PLOT,die-casting cardboard poligons that join to formed "plane paving" or spatial figures. In this examples, he showsas, starting with concrete materials and through its manipulation, the student, at whatever level, can develop his abstraction, rationalization, generalization, struturacion of concrete or not concrete materials and shapesabilities; i.e. a.so, he shows the geometry as inspiration source or the way to pass in the others mathematics"areas", in order to show this one "fraught with relations"
In this paper, the author present his ideas about the investment of de concrete materials and itsmanipulation to the geometry teaching. His argument is based in the formers authors: Van Hiele, Freudenthal,Bkouche, Brousseau, to argued in favour of the selective investment of the materials in the experimentalgeometry, or the bottom level, that allows to change of upper level, the aim of the concrete material is "the thinking action of the child".In the second part, he presents one example to concret investment of one concrete material: PLOT,die-casting cardboard poligons that join to formed "plane paving" or spatial figures. In this examples, he showsas, starting with concrete materials and through its manipulation, the student, at whatever level, can develop his abstraction, rationalization, generalization, struturacion of concrete or not concrete materials and shapesabilities; i.e. a.so, he shows the geometry as inspiration source or the way to pass in the others mathematics"areas", in order to show this one "fraught with relations"
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