Madrasa
The word madrasah derives from the triconsonantal Semitic root د-ر-س D-R-S 'to learn, study', through the wazn (form/stem) مفعل(ة)‎; mafʻal(ah), meaning "a place where something is done". Therefore, madrasah literally means "a place where learning and studying take place". The word is also present as a loanword with the same innocuous meaning in many Arabic-influenced languages, such as: Urdu, Bengali, Hindi, Persian, Turkish, Azeri, Kurdish, Indonesian, Malay and Bosnian / Croatian. In the Arabic language, the word مدرسة madrasah simply means the same as school does in the English language, whether that is private, public or parochial school, as well as for any primary or secondary school whether Muslim, non-Muslim, or secular. Unlike the use of the word school in British English, the word madrasah more closely resembles the term school in American English, in that it can refer to a university-level or post-graduate school as well as to a primary or secondary school. For example, in the Ottoman Empire during the Early Modern Period, madaris had lower schools and specialised schools where the students became known as danişmends. The usual Arabic word for a university, however, is جامعة (jāmiʻah). The Hebrew cognate midrasha also connotes the meaning of a place of learning; the related term midrash literally refers to study or learning, but has acquired mystical and religious connotations.

Q: During the Ottoman Empire, what types of schools were typical?
lower schools and specialised