Connotation is the emotion that a word incites in someone. It doesn't have to do with the word's actual definition, (denotation) but is very important to its usage.
The words "puppy" and "doggy" have a good connotation, making them sound cute and diminuitive.
The words "mutt" and "hound" have a bad connotation, which makes them sound dangerous.
The words mean the same thing (they have the same denotation) but the sentence changes a lot depending on which one you choose.
As for the examples you gave, "standpoint," "view," and "perspective" are all pretty neutral. (not good or bad) However, a "bias" is a view which is clouded by something, usually personal interest. Note that not only is the connotation of this word different, but the denotation is too.
Mr. Wiesel chooses not to go with Maria, but gives his family the choice. Elie and his sisters choose not to be separated from their parents.
When thinking about Mr. Wiesel, his choice not be separated from his community is not surprising. Elie describes his father in the very beginning of the book as more attentive to the community than to his family. This choice to keep the family together is also referenced later in the book when the family is forced to separate after getting off the train.
When I think about my family, I think my parents wouldn't have given me the choice. My father would probably have smuggled us out with the first chance and not waited. While he is an optimistic person, he does not trust that everyone has goodness. If we had to make a choice like Eliezer did, I would not have wanted to be separated from my parents. I would've been too afraid to face the unknown without them.
Yes: Students should wear uniforms, it keeps everyone equivalent and reduces the percentage of bullying in learning establishments.
Just examples
No: Students shouldn't wear uniforms, they should have the unchallenged, unprecedented, freedom to wear whatever they shall please.
Answer: Your answer is the third one (Hopeful and Curious)