摘要：La geometria analitica 3-dimensional es importante en los Cur- sos de calculo multivariado, no obstante los estudiantes fienen dificultades para su aprendizoje. Presentamos resultados de una investigacion sobre aprendizoje de las superficies cuddricas me- diante una intervencion didacica basada en el software dinamico 3-dimensional educativo GAnalitica3D. Analizamos la influencia del cardcter constructivista y colaborativo de la ensehanzo y de las habilidades de visualzaci6n necesarias para interactuar con el sofwore. La experimentacion se realiz6 con estudiantes universita- rios, que resolvian los problemas en pequenos grupos Y despues hacian puestas en comon. Informomos sobre la evoluacion de conocimientos previos de los estudiantes realizada y mostramos ejemplos de resoluciones en las que se aprecian e progreso y las dificultades de los estudiantes. Concluimos que el sofwore permite relacionar comprensivamente las representaciones algebraica y visual de las superficies cuodnicas, lo cual focilita su aprendizaje.
其他摘要：The learning of the solid analytical geometry is of very important in the courses of multivariate calculus because it contributes the develop skills that students need to understand more advanced concepts. However, this topic is difficult to understand mainly to a lack of visualization skills and a lack of articulation between the algebraic representation and the graphic representation of the solid objects in the space. In this particular case, we present educational software as an alternative to facilitate and consolidate learning. The goal of this study is to describe qualitatively the influence of the use of a didactic proposal enhanced with dynamic educational software in the consolidation of the learning of the quadric surfaces by a group of students of multivariate calculus at the undergraduate level. Three-dimensional analytical geometry is important in multivariate calculus courses, but students have difficulty learning it. We present results from a research on learning quadric surfaces by means of a didactical intervention based on the 3-dimensional dynamic educational software GAnalitica3D. We analyze the influence of the constructivist and collaborative nature of teaching and the visualization skills necessary to interact with the software. The experimentation was carried out with university students, who solved the problems in small groups and then made whole group discussions. We report on the assessment of students’ initial knowledge carried out and present examples of solutions in which students’ progress and difficulties are demonstrated. We conclude that the software allows students to comprehensively relate the algebraic and visual representations of quadric surfaces, which facilitates their learning.
关键词：aprendizaje asistido por ordenador;geometría;software didáctico;tecnología educacional
