I'm not sure it is completely gender related, but my wife and I have very different focuses on what we teach our two girls. I tend to focus more on structure, like a morning routine or what we do with dishes after eating, that sort of thing. My wife is more focused on them educating themselves...writing the alphabet for the oldest, going through the list of body parts for the baby. Such tasks on my end are typically reading time, which is also some quality time we spend together.

As far as cleaning goes, I'm over the top with that sort of thing. Anti clutter and super clean. My wife is less focused, but she wants to relax after work.

I will say this:  When she was on maternity leave this place was wrecked (and understandably so), and all my projects seemed to keep getting delayed. Since I've been home with the kids I've fixed so many things I had put off. Painted the baby's room, got all the nick-nacks hung however they needed to be, lots of little repairs that were annoying me have been fixed, and the yard always looks great!