So, I'm guessing that the random words at the end of the sentences are supposed to be some type of noise the kids/people make at the end? Gotten used to some of them from reading in other work, but ive never seen "dappe" before, cant imagine what it is supposed to signify or sound like.
Edit: Also, is it really THAT common with stray cats in Japan? Having kittens running around willy nilly? Also, those "teachers" sure need to get fired, having stray cats at a kindergarden (Pre-school, have to mention that since my mom is a pre-school teacher and they stopped saying kindergarden years ago since they have a teaching plan in place) is just a major health hazard.