What was the calligraphy class called in ancient times?

First of all, the "calligraphy class" you mentioned should be the concept of a common calligraphy art training class for children (youth) nowadays. In ancient times, literate people learned calligraphy first as a tool for learning. The initial stage of learning was often in private schools (academies), similar to schools, or family education. With the improvement of knowledge and learning, there are opportunities to enter higher-level official educational institutions. The improvement of calligraphy skills is firstly to gradually improve in the process, and secondly to obtain guidance from famous teachers. There are no art training classes in today's social market economy.