The interaction mode via Interactive Geometry interfaces can influence geometry learning. Nevertheless, approaches to the development of these interfaces are poorly investigated. To provide an overview of the results already obtained in this area, a systematic mapping was conducted in order to analyze which types of interfaces (i.e. forms of interaction) have been developed and in which devices these interfaces have been used. In total, 998 studies were analyzed in more than 10 years of research in the area of interactive geometry. Among these, 45 studies were related to the development of interfaces and only 20 of them satisfied the inclusion and exclusion criteria defined in this work. As a result, we verified that most of the studies have used created interfaces for desktops based on keyboard and mouse. We also identified that there are several opportunities to research new types of user interfaces and interactions to support geometry learning. II Congresso Brasileiro de Informática na Educação (CBIE 2013) XXIV Simpósio Brasileiro de Informática na Educação (SBIE 2013)