Meanings of teaching subject in English

Are you teaching subject matter or children?

This they did exceedingly well, and the result was a thorough organization of Theology as a teaching subject.

He urged more teachers to give up their free time to teach sport as well as their main teaching subject.

The extent of faculty's teaching varied depending on faculty's clinical career, teaching subjects, participation in practicum courses, and previous experience of patient safety education.

Perhaps it lies in the teacher and in his manner of teaching subjects, and not in the subject-matter itself nor in any course of study.