Enhance the classroom experience. Yes, that even means letting your students online with laptops and other devices when they’re in your classroom. Use a hashtag and ask your students to use it on each tweet; this means you can easily collate tweets together at the end of the alloted task/activity/time.
Read this: Twitterati in the academy
Read this: Professors experiment with Twitter as teaching tool
Read this: Twitter Conference Ideas : eLearning Technology
Bring student ideas, reading, emotions, etc into your world. Whether Twitter is used in the classroom or just around each timetabled seminar/lecture time, Twitter and it’s use can add value to the contents or your teaching, and you’ll end up learning from your learners.