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Desarrollo de recubrimientos curriculares y gestión de itinerarios adaptados al aprendizaje instrumentado con el geogebraTUTOR. Philippe R. Richard Université de Montréal • Canad á Josep M. Fortuny Universitat Autònoma de Barcelona • España Pedro Cobo IES Font i Quer • España.
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Desarrollo de recubrimientos curriculares y gestión de itinerarios adaptados al aprendizaje instrumentado con el geogebraTUTOR Philippe R. Richard Université de Montréal • Canadá Josep M. Fortuny Universitat Autònoma de Barcelona • España Pedro Cobo IES Font i Quer • España
What geogebraTUTOR does? Interface and system
Interface of the student Tutor agent helps student to solve the problem
Interface of the teacher Setting up local and global solving process Problems’ files Strategies’ files Messages’ files
What geogebraTUTOR hides? Spaces, tags, trees and forests
Contains all cognitive and heuristic states Basic space of the problem
Discursive messages Messages are based on a set of possible inferences
The system retains tags from the solving process Tags and «ID card» Characterization of each problem uses a set of tags
Trees and forests Each sub-problem is a cognitive message
Set of root problems – itinerary of learning 1 (...) System generates trees using tags of «ID cards» 2 Restructuring trees using retained tags in solving 3 Forests fit to the learning process of each student 4 Trees and forests
Theory and research Foundations of geogebraTUTOR
Context • New curriculum paradigm in mathematics learning (from objectives to competencies). • Importance of social debate in the building of mathematical knowledge. • Pedagogical agents with an artificial tutorial system can convey argumentative strategies to improve mathematical competencies and knowledge.
Hyperspace of four reference axis Theoretical background
Four objectives in research projects (due very soon) Future of geogebraTUTOR in research
Any questions? To have inside information outside
To know more about evolution • Richard & Fortuny (2007). Amélioration des compétences argumentatives à l’aide d’un système tutoriel en classe de mathématique au secondaire. Annales de didactique et de sciences cognitives, 12, 83-116. Strasbourg: Université Louis Pasteur. • Cobo, Fortuny, Puertas & Richard (2007). AgentGeom: a multiagent system for pedagogical support in a geometric proof problem. International Journal of Computers for Mathematical Learning, 12, 57-79. Springer Science+Business Media. • Proceedings of World Conference E-Learn 2004, 2005, 2007, ED-Media 2005, 2006 and SITE 2007.
¡Gracias! philippe.r.richard@umontreal.ca JosepMaria.Fortuny@uab.cat pcobo@xtec.cat