When I teach master’s degree students there were a couple of overriding issues for me to consider:
1) Have they mastered all the basics and do they have an understanding of all fundamentals and the ability to teach them? By continuing with their education a student is indicating to me that they are pursuing a career in music. Regardless of the career track students should understand what they are doing and should be able to teach it.
My list of fundamentals includes: proper breathing, instrument care, reed making and finishing, concepts of articulation, fundamentals of technique, vibrato, musicianship, etc. It also includes an understanding of musical styles, experience with ornamentation, a command of the standard bassoon repertoire, knowledge and experience with standard studies, and familiarity with trills and shakes up to C5 (high C) and fingerings up to E5 (high E).
2) What are they looking for from the degree? For instance, the needs of a music education teacher will be quite different than the needs of someone hoping to gain an orchestral position. At the graduate level I make a greater difference in my instruction of these types of students than I would at the undergraduate level.
I recommend you consult the Klimko books for some additional ideas:
Klimko, Ronald J. Bassoon Performance Practices and Teaching in the United States and Canada. Moscow, Idaho: School of Music Publications, the University of Idaho, 1974.
Apfelstadt, Marc and Klimko, Ronald. Bassoon Performance Practice, Teaching Materials, Techniques and Methods. Moscow, Idaho: School of Music Publications, The University of Idaho, 1993.
Professor Bassoon, Towson University
Former President, IDRS
Former Principal Bassoon Hong Kong Philharmonic, Wheeling Symphony