admonition / instruction
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lecture
An admonition or instruction, often with a moral or corrective undertone. It can be perceived as intrusive or condescending.
Ich brauche jetzt keine Belehrung, ich weiß selbst, dass das ein Fehler war.
I don't need a lecture right now; I know myself that it was a mistake.
'Die Belehrung' (admonition/instruction) is the noun belonging to the verb 'belehren' (to instruct/lecture), which is derived from 'lehren' (to teach). The prefix 'be-' often indicates that the action is directed at a person.
Er versuchte, mich über gesunde Ernährung zu belehren.
He tried to lecture me about healthy eating.
In everyday language, 'Belehrung' (lecture/admonition) often has a negative connotation. It describes an admonition that is perceived as unwanted, condescending, or know-it-all.
Seine ständigen Belehrungen gehen mir auf die Nerven.
His constant lectures are getting on my nerves.
In this meaning, the word has no negative connotation. It refers to a formal and neutral explanation of rights and duties, for example at the police station, in court, or when signing a contract.
Der Zeuge erhielt vor seiner Aussage eine rechtliche Belehrung.
The witness received legal instruction before giving his statement.
The expression 'jemanden eines Besseren belehren' (to prove someone wrong) is a fixed structure. The part 'eines Besseren' is a genitive and always remains unchanged. The expression means to prove to someone that they were wrong.
Er glaubte nicht, dass ich es schaffe, aber ich habe ihn eines Besseren belehrt.
He didn't believe I could do it, but I proved him wrong.
hint / notice
'der Hinweis' and 'die Belehrung' can both give information about correct behavior, rules, or duties. A 'Hinweis' is usually neutral and brief. It draws attention to something without strongly judging it. A 'Belehrung' is stronger: someone explains rules, rights, or duties, often officially or with a corrective tone. In everyday language, 'Belehrung' can also sound negative, as if someone is talking down to someone else. The words can be confused when someone explains a rule. If it is only a brief piece of information, 'Hinweis' fits. If someone is explicitly instructing someone or giving formal information, 'Belehrung' fits better.
Vor der Aussage erhielt der Zeuge eine Belehrung über seine Rechte.
Before giving his statement, the witness received an explanation of his rights.
Nach dem Gespräch bekam sie den Hinweis, den Termin online zu bestätigen.
After the conversation, she received a note telling her to confirm the appointment online.