GeoGebraTAO, validation of an Adaptive Learning Environment of dynamic geometry. Source of a differentiation individual pathway of the student?

In this PhD project, about 250 luxembourgish children of 10-12 years explore elementary geometric concepts in a sequence of learning activities, created with the dynamic mathematics system GeoGebra integrated into the computer-assisted testing framework TAO. The children, who are active in their learning process, are allowed to build new knowledge in an autonomous way and at their own pace. By means of a snapshot of the stimulus containing useful, easily exploitable data, the computer, a diagnostic tool of the competencies of the children in geometry, interprets the answer offered by the child, and based on this answer, gives relaunch instructions to go off to further explore the concepts. So children with special needs are identified and a differentiation individual pathway is inferred through scaffolding or feedback practices.
Comparing the obtained results of a pretest and a posttest will allow us to assess the gained knowledge of the children.