This research aims to analyze the work done by a group of prospective
secondary school mathematics teachers while solving mathematics problems using
GeoGebra. Our focus is on analyzing the Mathematical Activity as they progress
solving one problem, through the different problem-solving episodes (SantosTrigo & Camacho-Machín, 2013): understanding, exploration and the search for
multiple approaches. The results show evidence of mathematical processes and activities that include extending and posing new problems and finding novel paths to
reason and solve the tasks with technology. We could observe them to generate and
pursue new routes to represent mathematical objects, transforming representations,
formulating conjectures and observing and justifying relationships and conjectures.
