My Take
I love the fact that connections that wouldn't be there otherwise can easily happen on Twitter. There are many, many possibilities and potential with the use of Twitter in a school setting. Management and digital citizenship teaching opportunities are consistent with its use in the classroom. Be careful and purposeful with how you present and model Twitter's functionality. You never know where Twitter may take you and that can be a very powerful experience.
How I Use It
Use it with kids to better connect them with learning, each other, and the teacher. Use it as a professional learning tool for yourself as a teacher as well. A powerful tool when used with guidance, experience, and knowledge.