This paper addresses mathematical problem solving activity within the context of a
web-based beyond-school competition – SUB14. Using a qualitative approach, we aim
at finding evidences of the contestants’ mathematical competence and technological
fluency by analysing four solutions to a particular geometry problem from participants
who decided to use GeoGebra. Even though they all make use of the same tool, their
approaches to the problem differ in terms of the mathematical and technological
fluency they show. We interpret their different ways of dealing with the tool and with
mathematical knowledge as instances of students-with-media in problem solving