While there are other magical institutions mentioned, like Beauxbatons Academy of Magic (a French school) and Durmstrang Institute (a school in Eastern Europe), these are not explicitly described as different "schools" of magic. They are simply other wizarding schools.
It's important to note that within Hogwarts, there are four houses, Gryffindor, Hufflepuff, Ravenclaw, and Slytherin. These houses are not schools of magic, but rather different social groups within the school that students are sorted into based on their personality traits.
Do you have any questions about these specific houses or schools?