Every country has classes for people to learn more about their native tongue. Kids improve their grasp of their native language in schools, then adults improve more in University, for example.
The spoken language doesn't so much need to be taught to adults - literature is usually the focus instead.
In advanced English classes for native English adults, Shakespeare is a popular topic.
Taiwan is quite unique in how they Speak Mandarin but write with traditional characters - elsewhere in China, people whose local dialects have been replaced with state-enforced Mandarin, tend to learn only simplified characters. Some people believe this is a form of cultural genocide, since the simplified characters don't contain so much information about the origin of the characters - they're so far removed from the original pictographs. In an effort to combat this threat, some people study their language extra hard, learning ancient literature and character etymology as best they can. Some people believe Taiwan is a hotbed of people with this sentiment, hence why they favour traditional characters even when their local dialects are mostly replaced with Mandarin.