"全体教学人员" can be translated into English as "the entire teaching staff" or "all teaching faculty".
"The entire teaching staff" emphasizes the completeness of the group, referring to all teachers and related instructional personnel collectively.
"All teaching faculty" also conveys the same meaning, with "faculty" often used in academic contexts to refer to the teachers of a college or university.
Both expressions are commonly used and can be chosen based on the specific context and preference.