GeoGebra in e-learning environments: a possible integration in mathematics and beyond

This work concerns the definition of applications, called GIFT (GeoGebra Interactive Formative Test), realized with GeoGebra and integrated into an e-learning platform, allowing the implementation of manipulative and linguistic tasks. The innovative nature of GIFT consists in keeping track of student manipulations on the platform and use that information to design accurately personalized learning paths. One of these applications allows the construction of sentences and their automatic assessment. Thus it allows to pose open questions whose answers can be constructed by the application, being a new resource between closed-ended questions, which have well-known didactic limits, and open-ended questions, which pose the problem of automatic assessment. In addition, it can be used to improve the use of literate registers by manipulating digital tiles that are appropriately chosen, constructed and made available. Finally, they can be integrated into tasks aimed at constructing argumentative competency of students. We present preliminary results on an experimentation of GIFT in a case study engaging 10 degree High School students.