The development of the Digital competence in adult teaching through the topic tolerance and the figure of Hypathia, as a historical person that symbolizes culture, freedom, tolerance, knowledge and stresses the role of women in history is the starting point of a project which wants to exchange educative experiences in Education of Adults through active cooperation between the different institutions that form it, and with the final objective of creating in our centers space of tolerance and respect towards the different societies. Developing the competence and confidence of both teachers and learnera at using ICT and E-learning system as a mediator channel for education are at the core of this project together with developing the language skills of learners and teachers.