Final answer:
The Dominicans and Franciscans were the two religious orders that greatly contributed to the practice of scholasticism, which was an effort to reconcile Christian theology with classical philosophy during the medieval period.
Step-by-step explanation:
The two religious orders that provided many of the practitioners of scholasticism were the Dominicans and the Franciscans.
The Dominicans, founded by Saint Dominic in the early 13th century, were known for their emphasis on scholarship, education, and preaching.
The Franciscan order, founded by Saint Francis of Assisi, also contributed to the intellectual debates of the time, albeit with a more focus on simplicity and aiding the poor. Both orders played significant roles in the development of scholasticism, an intellectual movement that sought to reconcile Christian theology with classical philosophy, especially the works of Aristotle.