"The man does not see the student."
Translation:Der Mann sieht die Schülerin nicht.
Nicht is an adverb, and so you will always find it either before or after a verb, adjective or fellow adverb. It usually precedes an adverb or an adjective, but likes to settle after conjugated verbs. On the other hand, nicht likes to travel all the way to the end of a sentence at times. This happens most often with declarative sentences. Sie arbeitet nicht. (She is not working.) –> A sentence with just a subject and verb. Er hilft mir nicht. (He doesn't help me.) –> A sentence with a direct object (mir).
Exceptions about the nicht position: It is at the end of a phrase but before perfect participle (have been, have seen...) After the verb sein (Ich bin nicht hässlich) The adverbs go after the nicht (Ich rede nicht laut)
Hope that helps a little?
I'm no expert on it myself, but here's an example of how it works:
I do not read (ever) = Use kein
I do not read (the book) = Use nicht
I don't know the terminology, but kein seems to be used for absolute negatives, whereas nicht seems to be used to state you are not doing something currently. Please others correct me if I'm wrong!