Real world article
(written from a production point of view)
According to the script of the Star Trek: Deep Space Nine fourth season episode "Return to Grace", Didactic Theater was a Cardassian type of theater.
In a line not found in the final episode, Tora Ziyal talked about how when she lived on Cardassia Prime, her father had once taken her to a performance of his favorite didactic theater group. (Star Trek: Deep Space Nine Companion - A Series Guide and Script Library)