die Zucht
breeding
The planned and controlled reproduction of animals or plants in order to preserve or improve certain traits.
Er ist auf die Zucht seltener Hunderassen spezialisiert.
He specializes in the breeding of rare dog breeds.

breeding / discipline
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breeding
The planned and controlled reproduction of animals or plants in order to preserve or improve certain traits.
Er ist auf die Zucht seltener Hunderassen spezialisiert.
He specializes in the breeding of rare dog breeds.

'Zucht' (breeding/discipline) belongs to the word family of the verb 'ziehen' in its old meaning of 'großziehen, erziehen' (to raise, to educate). The related verb for animal and plant reproduction is 'züchten' (to breed).
Dieser Landwirt züchtet seit Jahren erfolgreich Rinder.
This farmer has been successfully breeding cattle for years.
You recognize the meaning 'Disziplin' (discipline) almost exclusively from the fixed expression 'Zucht und Ordnung' (discipline and order). In all other contexts, especially when it is about animals or plants, reproduction is meant.
Er beschäftigt sich mit der Zucht von seltenen Fischen.
He is involved in the breeding of rare fish.
In the meaning of 'Vermehrung' (reproduction), 'Zucht' (breeding) is often the base word in compounds that name the type of animals or plants. Examples are 'Pferdezucht' (horse breeding), 'Hundezucht' (dog breeding), or 'Pflanzenzucht' (plant breeding).
Die Rosenzucht erfordert viel Geduld und Wissen.
Rose breeding requires a lot of patience and knowledge.
In the meaning of 'Disziplin' (discipline), 'Zucht' is used today almost only in the fixed expression 'Zucht und Ordnung' (discipline and order). This expression often sounds strict and somewhat old-fashioned.
Der neue Trainer will im Team wieder für Zucht und Ordnung sorgen.
The new coach wants to restore discipline and order in the team.
order
'die Ordnung' and 'die Zucht' can both have to do with discipline and regulated behavior. 'Ordnung' is a normal, neutral word and fits tidy rooms, clear rules, or a well-organized process. 'Zucht' means strict discipline here, but today it sounds old-fashioned and often harsh. You hear it especially in the fixed expression 'Zucht und Ordnung' (discipline and order). The words can be confused because both can express rules and control. In everyday language, however, people almost always say 'Ordnung' if they do not deliberately want to sound strict or old-fashioned.

Der alte Trainer verlangte von der Mannschaft Zucht und Ordnung.
The old coach demanded discipline and order from the team.
Nach dem Kochen sorgt Tom in der Küche wieder für Ordnung.
After cooking, Tom restores order in the kitchen.