As a parent who recently withdrew children from the public school system, I have to say the answer to this question is no.
No, proper grammer is not (widely, maybe it still is in some places) taught anymore.
In fact, I recall reading messages from teachers that were hard to understand due to the abbreviations and texting slang they used.
Of course, on a site like this that is world wide, cultural differences and expressive language differences has a lot to do with how messages come across.