Serious games are the accepted term for games with an educational intent.

There are many definitions and ways of classifying educational games, serious games and their relationship to virtual worlds and simulations.

Identifying games that can be used for education is complex. We can say that serious games are games designed for a purpose beyond pure entertainment.

http://blogs.sch.gr/2lykoraiok/2018/05/03/are-you-playing-games-with-me-are-you-serious-by-crhistos-alexakis-mathematician-2nd-general-lyceum-of-oreokastro/