monitorial

In eighteenth-century America, one-room schoolhouses employed the monitorial method, in which older students evaluated the recitations of younger ones.

From The New Yorker ● Jul. 8, 2014

A number of New England cities, that already had other type schools, investigated the new monitorial plan and were impressed with its many important points of superiority over methods then in use.

From The History of Education; educational practice and progress considered as a phase of the development and spread of western civilization by Ellwood Patterson Cubberley

To this superior invisible aid he owed his appointment, at the age of seven years, to be usher in a school, before the monitorial system of teaching was thought of.

From History of American Socialisms by John Humphrey Noyes

Further, the same causes which reduced the control of masters, also embarrassed the upper boys in their monitorial duties. 

From Uppingham by the Sea a Narrative of the Year at Borth by John Huntley Skrine

“I know that, and I give you leave—there!” said Loman, with all the monitorial dignity he could assume.

From The Fifth Form at Saint Dominic's A School Story by Talbot Baines Reed