Board Thread:General Discussion/@comment-67.248.240.148-20170908201845/@comment-26397825-20171129014216

There's also the mirror tie in with Oscar, as in one of the sequels Dorothy talks to Princess Ozma throguh a mirror and Oscar first hears Ozpin when he looks in a mirror.

It's highly likely that the Scarecrow character is the Headmaster of Shade, considering the other Wizard of Oz characters have all been Headmasters/high ups in the running of an Academy.