I'd translate "Ludus Latinus" as something like "Latin Practice," in the same sense you'd say "soccer practice" or "piano practice" or something like that. It

I'd translate "Ludus Latinus" as something like "Latin Practice," in the same sense you'd say "soccer practice" or "piano practice" or something like that. It is a game, in the sense that it's not the real thing, it's practice for later doing the real thing -- it's a structured, goal-directed game with a particular practical outcome in mind (building Latin skills), not a "let's go have fun in the park without any particular motive other than having fun" kind of a thing.