From what I remember Roman classes were far from what we have today. Firstly, if a student had a slave the slave would carry every single thing the student needed. Everyone sat on a pillar-like stool, except the teacher would sit on a higher stool. The classrooms were like modern classrooms where the teacher would be at the front and the stools in rows. The students wrote on wax tablets with a stylus to practice writing. This is all learned from my Latin teacher.

However there were two types of schools. One where younger students would learn the basics like arithmatic and writing. When the student was older they would move to a more advanced school to learn specific topics like public speaking and debate. Roman schools were based on fear. The idea being that a student would learn better and accurately if he feared that he would be caned. They weren't particularly keen on understanding why something was right, but more on knowing that it was right. As far as subjects were concerned there was a very limited selection, such as literature, debate, philosophy and etc. Students also worked 7 days a week without weekends. The only time they were excused were on holidays, which were very plentiful. Girls were not really seen in schools and if they did have an education it would be through a private tutor at home. However instead of learning things like public speaking, they learned how to take care of the home and be a good wife. As far as I know there wasn't really a class system except for slaves.

I believe the information is accurate but I could very well be wrong.

Source: http://www.historylearningsite.co.uk/roman_education.htm