espanolEl proceso de ensenanza y aprendizaje de las secciones conicas y superficies cuadricas historicamente ha presentado ciertas dificultades en la Licenciatura en Matematicas. Esta tematica es significativa para la formacion de profesores, por las aplicaciones que tiene intra y extramatematica. En la investigacion se presenta un taller sustentado en problemas matematicos, que para su resolucion requieren del programa GeoGebra. Este se concreta a traves de una guia de trabajo, con el fin de apoyar la ensenanza y el aprendizaje de las curvas y superficies de nivel de funciones de dos y tres variables respectivamente. Este proceso permite generalizar familias de secciones conicas y de superficies cuadricas a partir de exploraciones algebraicas y graficas. El trabajo se ha desarrollado con estudiantes de Licenciatura en Matematicas de la Universidad Pedagogica y Tecnologica de Colombia, en la asignatura Calculo Multivariado. EnglishWe present a classroom experience in which a work guide and the GeoGebra program have been used, in order to support the teaching and learning of level curves and level surfaces of functions of two and three variables respectively, to generalize families of conic sections and quadric surfaces from algebraic and graphic explorations. The teaching and learning process of the conic sections and quadric surfaces has historically presented some difficulties in the Mathematics Degree. This subject is significant for the training of teachers, for the applications that it has intra and extra-mathematics. The research presents a workshop based on mathematical problems, which require the GeoGebra program for their resolution. The workshop is specified through a work guide, in order to support the teaching and learning of curves and surfaces of function level of two and three variables respectively. This process allows to generalize families of conic sections and quadric surfaces from algebraic and graphic explorations. This work has been developed with students of Mathematics Degree from the Universidad Pedagogica y Tecnologica de Colombia, in the subject Multivariable Calculus.