I am a student in a german technical college. We have several tutors for our various math subjects. One of those tutors is not a student but an employee of the college. He offers an open hour where students can ask question about all the math subjects. I will refer to him/her as X.
During the preparation for my exams I asked X 2-3 questions and later after I understood most of the subjects material was present when he answered other's students questions. This is when I noticed that X sometimes evaded clear answers or just gave plain wrong answers. This became especially obvious after I had understood the subject myself. Here are some examples:
Question 1: What is meaning of the probability density function? What does it describe? I know it's the derivative of the cumulative distribution function and I understand the cumulative function but what can I do with the density function?
X: It's just the derivative. That's all you need to know.
Student: But, I mean what can I do with it? Why am I learning it?
X: It's really just the derivative, it has no other important meaning. You don't need to know more.
Question 2: I still don't understand how to read a correlation out of a scatter-plot. For example this one? How do I know if the variables are correlated?
X: You can't really learn this, it's just a matter of practice. You have to do it for years.
There were other question where X simply gave a blatantly wrong answer (I can't remember specific examples). For me it is clear that X simply does not know the answers and instead of admitting it and offering to look it up X simply gives a harsh answer to intimidate the students. The tutorial is mostly visited by students who are struggling to understand the basic stuff. The other good students did not bother coming to the tutorial so they never saw X do that. I came for some advanced questions and this was when I noticed the wrong answers. I assume that X does help students with other areas of math where X knows more.
I think X's behavior is unacceptable because X is hindering the education of the students and even confusing them. Because most of the question had simple answers.
I have two questions now:
How do I tell this to the responsible professor? I guess it won't be easy for him because he would have to investigate this matter and in the worst case it could lead to firing X and he probably does not want to go though all the trouble.
When do I tell the professor? I am interested in this subject myself and volunteered to be a tutor next semester. I probably won't work with X because X gives a general tutorial for different areas of math. Coming up with this matter during my "interview" would probably be a bad idea. I think it's probably better to first become tutor and "gather more intelligence" until telling the professor. I will probably be also more credible then.
Would love to hear your ideas about this matter.