I found that doesn't typically work. Try doing it and putting in the govt. rate. Then, call and change it over to the teacher rate. It's the same. Also, if you check it straight through the swananddolphin.com website you will get a different amount than if you go through starwood.com. And if you call, you'll get the best rate. Confusing huh?
AND if you book with the TROOPS rate, you get a better deal than the regular gov't rate - something like 10% off all food? Can't remember specifically...
And you can only book that if you call.