Translation of prevailing in German

We want to fly there again on Christmas, depending on Jenny's work. Maya entered kindergarden last week, and there were a lot of tears (mainly by her mother and not by herself. I guess that is natural.
Every school has some narrow minded teachers who are not willing in investing in progressive educational process. They do not grasp that schooling methods today are different from last century's methods.
My wife and her started a nice conversation and the village girl did not believe that my wife was older than thirty years old. My wife considered herself as old, but the little girl explained her that she wasn't.