das Kollegium
teaching staff
All the colleagues employed at an institution, especially at a school.
Das gesamte Kollegium trifft sich heute Nachmittag zu einer Konferenz.
The entire teaching staff is meeting for a conference this afternoon.

teaching staff / board
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teaching staff
All the colleagues employed at an institution, especially at a school.
Das gesamte Kollegium trifft sich heute Nachmittag zu einer Konferenz.
The entire teaching staff is meeting for a conference this afternoon.

The word 'Kollegium' (teaching staff / board) is closely related to 'der Kollege' (male colleague) and 'die Kollegin' (female colleague). It refers to the entire group of colleagues in one place, for example all the teachers at a school.
Das Kollegium hat über die neuen Regeln abgestimmt.
The teaching staff voted on the new rules.
Although 'das Kollegium' (the teaching staff / the board) refers to a group of people, the word is grammatically singular. The verb therefore appears in the 3rd person singular.
Das Kollegium isst gemeinsam in der Kantine zu Mittag.
The teaching staff eats lunch together in the cafeteria.
In a school context, the word is often used as 'das Lehrerkollegium' (the teaching staff) or 'das gesamte Kollegium' (the entire teaching staff). Common verbs are 'sich beraten' (to consult with one another), 'entscheiden' (to decide), or 'sich treffen' (to meet).
Das Lehrerkollegium plant den Ausflug für die nächste Woche.
The teaching staff is planning the trip for next week.
This meaning is formal and is used in administration or the judiciary. You can recognize it in compounds such as 'Richterkollegium' (panel of judges) or 'Expertenkollegium' (panel of experts).
Das Expertenkollegium hat die Vorschläge der Regierung bewertet.
The panel of experts evaluated the government's proposals.
team
'das Team' and 'das Kollegium' both refer to groups of people who belong together in a professional context. 'das Team' is used when people work together toward a goal or on a task, for example in an office or in sports. 'das Kollegium' more often means all colleagues at an institution, especially at a school, or an official body or panel. The words can be confused because a Kollegium can also work together. However, 'Team' sounds more practical and task-focused; 'Kollegium' sounds more institutional and often refers to the entire group of employees.

Nach dem Unterricht trifft sich das Kollegium zu einer kurzen Besprechung.
After class, the teaching staff meets for a short discussion.
Unser Team bereitet die Präsentation für morgen vor.
Our team is preparing the presentation for tomorrow.