Designing digital media for creative mathematical learning

Although "creativity" has been included in lifelong competencies, designing tools and pedagogies for fostering creativity in classroom has been in the last years a field that appears quite overwhelmed. The reason for that mostly stems from the lack of a clear definition of what creativity is or even from the wide range of descriptions for the specificities of situations inside which creativity arises. Among others, the interplay between problem solving and problem posing has been considered an indicator of creativity. This short paper describes the design of a web platform that entails a constructionist medium and two online shared workspaces. Empirical research with these tools attempts to enhance our understanding on they may support students in jointly figuring out how to fix a program for a 3D mathematical artifact and use it as a building block for creative constructions.