Twitter in the Classroom?

The Library has been tasked to feature workshops on how social media is being used in the classroom. So, one of my first thought was how could Twitter be used in the classroom? Well, after looking into what is Twitter (a 140 character miniblog), I realized that the main question it asks, "What are you doing?" is a great question to ask your students on a daily basis. First, this open dialogue can foster creative thinking, allow small groups to communicate more quickly and easily, and develops collaboration within the group. Second, I also see it forcing students to develop concise communication skills due to the character limit. The 140 character limit makes students be brief and to the point. Finally, through this constant contact a professor can hold their students accountable to what they are working on through daily tweets. Just some food for thought. Please let me know what your views are of Twitter in the classroom.