Top contenders' improvement plans

Updated: December 21, 2011, 12:02 PM ET
By Jay Bilas

In the 2009-10 and 2010-11 seasons, I didn't see any truly great teams. I saw some really good ones, and I saw two compelling and competitive seasons, but I did not see true greatness from a historical perspective.

I thought this season would be different. Thus far, it has not been.

The top teams have not shown signs of being truly great and have been unable to separate from the rest. That means the path to the national championship could be as wide open as it was last season and the season prior, if one or more of the top seeds stumble.

Some of the best teams in the country have a chance to get better as the season progresses and could approach greatness. Here is how I believe college basketball's best teams can still improve:

North Carolina Tar Heels -- Before the season, I saw the Tar Heels as the best team in the country. To this point in the season they haven't been, but I believe they still can be -- and likely will be.