Moyse taught on the faculty of the Conservatoire de musique du Québec à Montréal, and was a founder of the Marlboro Music School and festival in Vermont. Moyse strove to teach his students "not how to play the flute, but to make music". Among his students were James Galway, Paula Robison, Trevor Wye, William Bennett, Carol Wincenc, Bernard Goldberg, Robert Aitken, Arthur Kitti, Karen Reynolds, September Payne and Julia Bogorad. Moyse authored many flute studies, including "De la Sonorite" and "Tone Development Through Interpretation", published by McGinnis & Marx.