Developing the mathematical eye through problem-solving in a dynamic geometry environment

The aim of this chapter is that of discussing some aspects characterizing the processes of problem solving in Euclidean geometry. After defining specific visualization skills actively involved in solving geometrical problems, we illustrate how those are differently involved in problem-solving processes; the comparison between solving processes that take place with paper and pen or in a dynamic geometry environment shows that a dynamic geometry environment can provide effective support for mobilizing but also for developing visualization skills. Therefore, we claim that problem-solving activities can be designed with the aim of fostering the student’s development of specific visualization skills and contributing to the development of a mathematical eye