This post from Jeff Dunn from Edudemic suggests 100 ways to use Twitter in education by degree of difficulty.
"Twitter is a powerhouse for marketing, communication, business, and
even education, letting people from around the world work together,
share ideas, and gain exposure.
It has become a staple at many online colleges
and campuses as well, leaving many academics wondering just how and if
they should be using Twitter both in the classroom and in their
professional lives. So we’ve revised our our original 2009 list to get you started or up to date.
Whether you’re an academic or just interested in building your
Twitter profile, keep reading to learn some tips and tricks that can
help you take the first steps towards using Twitter for coursework,
research, building a professional network, and beyond."
Some great ideas here.