Geometric prediction as a bridging process between transforming and understanding.

Building on the theory of figural concepts, this paper describes geometric prediction as a process that lies at the interplay between the pure manipulation of figural elements and the pure selection and use of theoretical ones. In this paper I use a geometric prediction model to analyze the cognitive processes of an expert solver, while she is solving a geometric open problem, showing how it is instrumental in addressing the issue of zooming into the tension between spatial reasoning and geometric understanding.