Chinese students don't learn their own grammar though.
I did a couple years of schooling in Hong Kong before I moved to Canada. Until I attended Mandarin lessons a few years ago, I was under the assumption that Chinese (Cantonese, mainly) had no tenses or really any need for grammatical structure. Mind you, Chinese grammar is much much much much much much more simple than that of European languages.
When I was learning the about the French tenses, I always thought that it was overly complicated and everyone should just learn Chinese instead. Picking up Chinese again helped me realize why that was a stupid statement.