Asking Someone How Their Chinese Studies Are Going I have a friend who has started learning Mandarin, and I want to ask them how their Mandarin studies are going. The first phrase that comes to mind is this:

你中文学习得怎么样？

I'm not sure, however, if 怎么样 is correct. I don't actually know its exact meaning, but I've always thought of it as "how's it going?", such as in “你过得怎么样？”. Therefore, in this case, "it" would be the person's Chinese studies.

Is this correct? If not, what would be a better way to ask this question?
It's correct. It sounds native enough. 
"怎么样" in this sentence is used for asking how the things are. i.e. Are they good or bad? It's the same in "你过得怎么样" (literally "How are you getting along (these days)? ")
Your friend could answer "还行" ("not so bad") "很好" ("very well") or "不怎么顺利" ("not so well"), as a few examples.