I had few teachers for my high grade in the past, I had hardly seen my teacher playing anything for me or to prove that they have the skill what they say that they have. Sometimes, I am just wondering what is going on?
A teacher's ability to play has little to do with his ability to teach. You are making a classic assumption about the purpose of a teacher. A purpose of a teacher is to teach in the most effective manner possible.In teaching how to play the piano, the teacher is there to teach you how to play the piano, not perform for you. Unless they are demonstrating a physical movement or asking you to listen and imitate the required sound, mostly they won't (or shouldn't) play. You are there to learn, not to hear a performance! You should be the one performing.