Our recent study on families in repeated mobility —i.e. families who move internationally more than once because of the professional expertise of one or both adults—shows that an increasing proportion of such families living in Switzerland are choosing to send their children to local and public schools rather than to private and international ones. These facts may have important repercussions for schools, classroom life, teachers, and more generally, teaching and learning practices. The present project, an extention of NCCR Phase I, aims at exploring the challenges raised by this new situation for schools and families.