Hi m1469:
I have choosen him because the Institute is one block from my apartment. 
It was not a very meditated decission, as a matter of fact. I have privileged proximity over other factors. On the other hand, being a complete newbie, i was under the impression that almost all piano teachers could guide me in my first steps.
Why do i want him to play something? well, i beleive i have the right to know how my teacher plays the piano. 
I am working on the FIRST excercises from the following 3 books:
Carl Czerny: "Il primo maestro di pianoforte (op. 599)"
F. Beyer: "Piano preparatory school" (op. 101)"
Diabelli: "Melodic excercises (op.149)"
PD: i hope he does not read this forum

Well, stormx, of course you have the right to know how your piano teacher plays the piano. To an extent anyway, the extent that he is willing to concede to you. I personally would
never ask any of my teachers to play for me unless s/he has given me explicit permission to ask of them this thing, it is of a very personal nature. When they do/have really
played for me, it is very special to me and means more than I can put into words. I carry these experiences around like sacred treasures, and this is as it should be in my opinion.
This is not really the main point, however. My
main point is that you may not get the information you are looking for even if he
does oblige you and your solicitations. I think that your main questions are... (or at least they should be IMO)
1. Can he teach
2. What exactly does he know about the piano/music/life
3. How can he help me reach my goals
So my question to you about what
exactly you are looking for, is more along these lines. How are you going to figure out the answer to these three questions by experiencing him playing for you? Do you know?
Personally, I have
always needed and have had more than one teacher at a time anyway. Literally and philisophically. I have always been searching on my own and have always been discovering on my own with Music itself. I have also almost always had more than one source of teaching in a formal way as well as an informal way at simultaneous periods in my life. This is something that I need (to an extent) and I am aware of it. However, I know when the balance gets off and I have a ranking in my mind of whose opinion matters most at what time.
My main point is that I view a main formal teacher as somewhat of a center for learning and growth, where I formally bring everything I have to work with which may have been gathered from many sources. My
main teacher gives me a focal point for pianistic/musical/personal discipline, growth and execution, and ideally knows how to handle my whole person (or at least learns how to work with it).
You are not wrong to be curious about your teacher, just make sure you know what you are looking for. You may be able to already find many of the answers you need in what he has already been willing to share with you.
I am still curious about this one thing... did you not meet with him and talk with him before you began lessons?
m1469 Fox