Your public answer: “I agree with Renjit. A good master will expose his/her pupils to the skills and ideas needed for them to progress further in that field. As a musician and teacher myself, I can think of many cases throughout the history of Western music in which composers took proteges under their wings and the latter were only ever considered worthy if they took their mentors' ideas and developed them further. In fact, the progress of all Western music can be put down to this basic principle. However, there are some areas where this is less likely. For example, I also teach English as a second language. It would be fairly unlikely for many of my ESL/EFL students to become better at English than myself. Still, it's possible they could in some aspect of it. For example, I'm not a good creative writer, but a student of mine could become one I suppose.”