Sumerians were going to “school” to learn the cuneiform writing, the Sumerian language and mathematics! But not all of them were going. The school was called “house of the tablet” (é.dub.ba), even though it was not a building in itself: teaching was given in private houses to a small group of children. Such schools have been excavated in the cities of Ur and Nippur, for instance. The houses might be identified as schools when some types of school tablets are found in them, such as round clay tablets on which the young scribes were writing their first cuneiform signs.
Esagil Games
Fun Games and Teaching Tools about Ancient Mesopotamia