The term "schoolteachery" refers to a style of teaching or an attitude that is seen as overly controlling, didactic, or restrictive. Some synonyms for this term include authoritarian, dogmatic, pedantic, didactic, and dictatorial. These words all convey a sense of rigid or overly strict teaching practices and a lack of flexibility or creativity. Other related words might include disciplinarian, taskmaster, or rule-bound. However, it's important to remember that not all teachers who are strict or demanding are negative influences. Strong leadership and high standards can help students achieve their full potential and succeed academically and professionally.