What is the difference between M.S.Ed. and M.T.?

From Belhaven College:

“The Master of Arts in Teaching (MAT) is designed for students who have a non-education undergraduate degree. The Master of Education (MED) is designed for students who have an education undergraduate degree and completed a teacher preparation program (student-teaching).”

There seems to be some differences depending on the school. From USC:

“The MT and MAT degrees are designed to allow degree candidates to earn an initial teaching certificate. The MEd is designed for certified teachers to pursue graduate studies and earn a master’s degree (you can not be admitted to the MEd without a teaching certificate or it’s equivalent including teaching experience). The MT is designed for students who complete an undergraduate degree at USC including undergraduate core education course requirements.”