It sounds strange because of how simple it is, but providing opportunities for people of all ages to play can have miraculous benefits. I think something critical to think about isn't just creating an environment to improve education for refugees, but to consider the overall ecosystem.
At this point I'd like to ask a few questions. As designers setting boundaries of an experience, what do we consider as education? On a wider sense, are integration and assimilation goals?
In my opinion, yes! By creating opportunities for people to play, language, culture, and communication barriers can be broken. Sports, dance, video games, it doesn't need to be expensive, and it doesn't mean it is just for children. Play pertains to all ages.
Therefore, an important question to be considered is what activities can be set up, and how can we encourage people within different parts of the ecosystem to participate?
While this isn't a concrete solution by any means, and various situations may call for different cultural probes to ascertain different values and needs, maybe it'll spur some ideation.
Not to simplify the matter, but some well known examples I will drawn upon are the Olympics and the World Cup. These events, though grand on scale, have always brought people together around the world.
Games, play, social activities, however you like to refer to it, bring people from different backgrounds together. This is the essential element, bringing people together.