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A Dynamic Geometry System (DGS) is a computer application that allows the exact drawing and dynamic manipulation of geometric constructions. DGS have been the paradigm of new technologies applied to Math education, but some authors have claimed [...]texto impreso
We prove that, in any o-minimal structure, definable C-r mappings can always be approximated by definable Cr+1 mappings. As an application we obtain definable triviality for pairs of definable proper submersions.texto impreso
In this work we answer a question stated by Loi and Zaharia concerning trivialization of definable functions off the bifurcation set: we prove that definable functions are trivial off the bifurcation set, and the trivialization can be chosen def[...]texto impreso
GLI (Geometric Locus Identifier), an open web-based tool to determine equations of geometric loci specified using Cabri Geometry and The Geometer’s Sketchpad, is described. A geometric construction of a locus is uploaded to a Java Servlet server[...]texto impreso
Gómez Chacón, Inés María ; Botana, Francisco ; Escribano Martínez, Jesús ; Abánades, M. A. | BOLEMA Departamento de Matematica | 2016La finalidad de este artículo es precisar algunos de los elementos que organizan un espacio de trabajo efectivo para problemas de lugares geométricos en entornos tecnológicos. Se explora como 52 futuros profesores de matemáticas progresan en su [...]texto impreso
Gómez Chacón, Inés María ; Botana, Francisco ; Escribano Martínez, Jesús ; Abánades, M. A. | BOLEMA Departamento de Matematica | 2016La finalidad de este artículo es precisar algunos de los elementos que organizan un espacio de trabajo efectivo para problemas de lugares geométricos en entornos tecnológicos. Se explora como 52 futuros profesores de matemáticas progresan en su [...]texto impreso
Dynamic Geometry, also known as Interactive Geometry, refers to computer programs where accurate construction of (generally) planar drawings can be made. The key characteristic of this software is that, when dragging certain elements of the conf[...]texto impreso
A prototype for a web application designed to symbolically process locus, proof and discovery tasks on geometric diagrams created with the commercial dynamic geometry systems Cabri, The Geometer’s Sketchpad and Cinderella is presented. The appli[...]texto impreso
Escribano Martínez, Jesús ; Carmona Ruber, Jorge ; Valdés Morales, Antonio ; Baro González, Elías ; Caravantes Tortajada, Jorge ; Claramunt Pérez, Juan Andrés ; Fernández Rodríguez, María Pilar ; Bellido Terrones, María Luz Divina | 2017-06-30Difusión, entre los estudiantes y los profesores de la Facultad de Matemáticas de la UCM, de herramientas de software libre en las labores académica. En particular, abogamos por el uso de SAGE (www.sagemath.org).texto impreso
We study triviality of Nash families of proper Nash submersions or, in a more general setting, the triviality of pairs of proper Nash submersions. We work with Nash manifolds and mappings defined over an arbitrary real closed field R. To substit[...]texto impreso
El objetivo de la memoria es estudiar la trivialidad de sumersiones (y pares de sumersiones) dentro de la categoría o-minimal. Este es un problema clásico de la Topología Diferencial y con numerosas aplicaciones en la Teoría de singularidades. P[...]texto impreso
Abánades, Miguel A. ; Botana, Francisco ; Escribano Martínez, Jesús ; Valcarce, José L. | Springer | 2011This paper describes some examples of fruitful cooperation between geometric software tools (in particular, GeoGebra) and a free open source computer algebra system, Sage (Software for Algebra and Geometry Experimentation). We collect some of ou[...]texto impreso
We present the experience of the authors teaching mathematics to freshmen engineering students with the help of the open source computer algebra system Sage. We describe some teaching resources and present an ad hoc distribution of Sage used b[...]
