This question is about the use of "tuition" in AmE.
In America are there "private institutions" [not schools, universities]. So will it be okay to use:
I go for tuition .
A:"Where do you go for tuitions?"
B: "I go for tuition to X." ("I go to X to get tuition in a particular subject", that is, "I go to X for extra classes)
I am taking tuition in Science. (I am teaching students Science)
I receive (or "being given") tuition in Science. (I have been taking extra classes in Science)
All these are private classes by tutors teaching a group of kids.