One of the aspects of Twitter that took a while for me to understand was the whole use of a hashtag (#) and how it was beneficial to the me. I kept seeing hashtags attached to peoples tweets and it took me some time to understand how they worked. I learned that you can see all the tweets that contain a hashtag as well as save a search of a hashtag and come back to it on a regular basis to see the most recent tweets.
With these hashtags come a whole new spectrum. The ability to "chat" using them. Just about everyday of the week and at certain times you can join in to chats related to several different topics. My favorite of course is the #edchat which is every Tuesday at 12 pm and 7pm EST with voting for the topic happening Sunday and Monday.
What other chats are there on Twitter? I often wondered the same thing. I know of #elemchat, #cpchat, and #sschat. What you might not know is that there are actually over 200 chats on Twitter. There is a great Google Doc spreadsheet that has a Twitter Chat Schedule. On the schedule you can find the name, description, the founders/moderators, links to more information and to the chat itself, as well as a schedule, and a website if the chat has one.
If you are new to Twitter, my suggestion is start following some chats related to your interest. From there you will find people who share similar interest and follow them. It is truly the best way to get connected with other professionals on Twitter.