Using GeoGebra as a tool for teaching the Padovan board and tiling

This study is part of ongoing doctoral research investigating the teaching of Padovan's combinatorial approach and the scarcity of works on this topic. The objective is to propose an approach to explore combinatorial identities with the help of GeoGebra. This approach aims to provide theoretical support to the teacher to understand and teach the combinatorial approach visually through a didactic situation supported by the construction of activities in the software. The methodology adopted is didactic engineering in its first two phases, given the nature of the ongoing research, and the teaching session was structured following the phases of the theory of didactic situations. This proposal is expected to contribute to the possible integration of GeoGebra into the teaching of the history of mathematics, considering the potential impact of a visual approach to the topic in teaching practice.