You'd be amazed how many times users on this forum claim that "various textbooks" state XYZ, yet it turns out that it was actually one textbook which none of us has heard of, was written by a non-native speaker and is full of errors.
Remember - if you don't use correct capitalisation, punctuation and spacing, anything you write will be incorrect.
I don't think the student would be satisfied with any of the hand-waving style answers posted in this thread. I really, really don't. Sorry.
The people who have responded to your question have given you excellent answers. The simple fact is that educated native speakers use the verb in the way you think is incorrect. If you cannot explain that to your students, the fault lies with you. Rudeness is not the answer.
Doctor: I am seeing more cases of Lyme disease these days.
Teacher: Lately, I am seeing more students with tattoos in my classes.