Originally Posted by Excelsior.
This is a problem that extends to the comics as well. Most writers seem to willfully forget that Wolverine has an incredibly extensive martial arts background, but opts instead for him to slash mindlessly around with his claws for some reason.
In one comic (I think it was Wolverine: Manifest Destiny) some old martial arts master chastises Wolverine for not using his skills and just relying on his powers to get him through fights. I could see a scene like that working in the next film.