US college/university music departments and conservatories are filled with talented, qualified faculty. If you are an oboist or bassoonist bound for a large school then there will almost certainly be both oboe and bassoon professors there with outstanding credentials and years of high-level teaching and performing experience.
Smaller schools are also well-stocked with excellent music faculty, and can provide a very, very good education. But one thing to bear in mind is that in smaller music departments, the faculty members often have to wear multiple hats, sometimes teaching instruments that they don’t perform on.
Those professors still have much to teach you, and while it’s not an ideal situation it’s also not unheard of. However, for double reed students, there’s an additional wrinkle: the need to learn reedmaking.
Reedmaking is a crucial skill for oboists and bassoonists. At larger schools it’s not unusual for the oboe and bassoon professors to offer classes in reedmaking, or at least to spend a significant chunk of lesson time on it. And while still learning this art, you will probably need someone to provide you with reeds or adjust ones you purchase elsewhere. (The ones from your local music store or online retailer aren’t likely to play at the level you will need for college study.)
So, if you’re considering a school where you might study with someone who isn’t a performer on your double reed instrument, it would be worthwhile to find out their plan for teaching you reedmaking. If they don’t have a detailed and convincing one, you might think about some other schools, especially if you are planning to pursue a performance degree, or ask your teacher about ways to fill that gap in your education.
