It is not idiomatic "to give" a class. A class, hinein this sense, is a collective noun for all the pupils/ the described group of pupils. "Our class went to the zoo."

Folgende Sachen dieses Abschnitts scheinen seit dieser zeit 200x nicht mehr aktuell zu sein: hier fehlen 20 Jahre Fabel, die Überschrift ist untauglich Litanei hilf uns am werk, die fehlenden Informationen zu recherchieren zumal einzufügen.

It is not idiomatic "to give" a class. A class, hinein this sense, is a collective noun for all the pupils/ the described group of pupils. "Our class went to the zoo."

That's how it is on their official website. Am I right in saying that they are not native English speakers?

知乎，让每一次点击都充满意义 —— 欢迎来到知乎，发现问题背后的世界。

In your added context, this "hmmm" means to me more of an Ausprägung of being impressed, and not so much about thinking about something. There is of course a fine line.

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知乎，让每一次点击都充满意义 —— 欢迎来到知乎，发现问题背后的世界。

Let's take your example:One-on-one instruction is always a lesson, never a class: He sometimes stays at the office after work for his German lesson. After the lesson he goes home. Notice that it made it singular. This means that a teacher comes to him at his workplace and teaches him Beat individually.

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So a situation which might cause that sarcastic reaction is a thing that makes you go "hmm"; logically, it could be a serious one too, but I don't think I've ever heard an example. The phrase welches popularized in that sarcastic sense by Arsenio Hall, Weltgesundheitsorganisation often uses it on his TV show as a theme for an ongoing series of short jokes. When introducing or concluding those jokes with this phrase, he usually pauses before the "hmm" just long enough for the audience to say that part with him.

知乎，让每一次点击都充满意义 —— 欢迎来到知乎，发现问题背后的世界。

The point is that after reading the whole Auf dem postweg I still don't know what is the meaning of the sentence. Although there were quite a few people posting about the doubt between "dig hinein" or "digging", etc, etc, I guess that we, non natives still don't have a clue of what the Tatsächlich meaning is.