I got 12 years of grammar in school. I had it coming out of my ears. They pounded it in so well, I can still recite every preposition from memory, diagram a compound-complex sentence, and tell the difference between a predicate nominative and a direct object. I couldn't believe it when I got to the University and they were still teaching grammar. Needless to say, I placed out of those classes. I'm pretty sure this isn't representative of most Americans though. I was fortunate enough to attend private schools.
Out of curiousity, if they don't teach grammar, what do they teach in your English classes? Literature? Spelling?
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~ John