From Wikipedia
Didacticism:
"Didacticism is a philosophy that emphasizes instructional and informative qualities in literature and other types of art.
'related to education and teaching', and signified learning in a fascinating and intriguing manner.
Didactic art was meant both to entertain and to instruct.
Autodidacticism:
Autodidacticism (also autodidactism) or self-education (also self-learning and self-teaching) is education without the guidance of masters (such as teachers and professors) or institutions (such as schools). Generally, an autodidact is an individual who chooses the subject they will study, their studying material, and the studying rhythm and time.
The term has its roots in the Ancient Greek words αὐτός (autós, lit. 'self') and διδακτικός (didaktikos, lit. 'teaching'). The related term didacticism defines an artistic philosophy of education.
Successful self-teaching requires self-discipline and reflective capability.
Peripatetic:
The Peripatetic school was a school of philosophy in Ancient Greece. Its teachings derived from its founder, Aristotle (384–322 BC), and peripatetic is an adjective ascribed to his followers.
It was an informal institution whose members conducted philosophical and scientific inquiries.
The term 'Peripatetic' is a transliteration of the ancient Greek word περιπατητικός (peripatêtikos), which means 'of walking' or 'given to walking about'.
Originally at least, the Peripatetic gatherings were probably conducted less formally than the term 'school' suggests: there was likely no set curriculum or requirements for students, or even fees for membership.
The aim of the school, at least in Aristotle's time, was not to further a specific doctrine, but rather to explore philosophical and scientific theories; those who ran the school worked as equal partners."
https://en.m.wikipedia.org/wiki/Didacticism
https://en.m.wikipedia.org/wiki/Autodidacticism
https://en.m.wikipedia.org/wiki/Peripatetic_school