Princess Academy by Sharon Creech

Cheerful and witty 14-year-old Miri loves her life on Mount Eskel, home to the quarries filled with the most precious linder stone in the land, though she longs to be big and strong enough to do quarry work like her sister and father. But Miri experiences big changes when the king announces that the prince will choose a potential wife from among the village's eligible girls-and that said girls must attend a new Princess Academy in preparation. Princess training is not all it's cracked up to be for spunky Miri in the isolated school overseen by cruel Tutor Olana. But through education-and the realization that she has the common mountain power to communicate wordlessly via magical "quarry-speech"-Miri and the girls eventually gain confidence and knowledge that helps transform their village