Aizawa wasn't the best with kids. He had been a teacher, but even then the kids he taught weren't exactly ordinary. The school had taught heroes, and thus they were expected of much more than regular students. The younger ones were even worse for him. He never knew what to do, despite them being so easily entertained. He just wasn't much of a fun guy. All he usually did was laze around, especially now that he was an animal instead of a human.
Even now, he was laid out in one of the caves, face obscured by his scarf. It definitely wasn't the most ideal place to nap, since the ground was so cold, but it beat sleeping out in the snow. He would have gone out to the meadow Izuku had shown to him, but that was a long trek and he wasn't too confident that he wouldn't get lost without the feline to guide him. So, he settled for in the cave.