An Open Architecture to Improve Mathematical Competence in High School
Philippe R. Richard, Josep Maria Fortuny, Simon El-Khoury, Esma Aı̈meur · EdMedia: World Conference on Educational Media and Technology · 2005
This paper presents the development of an intelligent tutoring system called TURING (French acronym of «TUtoRiel INtelligent en Geometrie») in a multidisciplinary project, that joint recent research in didactic of mathematics with the possibilities of computer-based learning environments. From the educational point of view, the system is helpful for the student to improve problem solving aptitudes, mathematical reasoning abilities and communication skills using natural and mathematical language. In addition, the system is helpful to assist the teacher in his responsibility of attending the diversity of the development of mathematical competences in a whole class. From the technical point of view, the TURING architecture is a multi-agent system conceived in a flexible approach so that a teacher can adjust the heuristic and discursive features according to specific practices with real students. In particular, for the discovery of a conjecture or for the realization of a mathematical proof, the system consents to adapt, in the problem solving process, the space of meaningful actions and, in argumentative process, the set of strategic message with pedagogical agents. The TURING is a client-server application that is in its phase of implementation in Java programming language.