One of the best ways to promote your articles is to put them on Twitter. Once you tweet the link to your articles, if people find them interesting they would start retweeting those links and that link/article would thus get more exposure. Here your responsibility is to make it as easy as possible to retweet your articles. For that you can resort to Tweetmeme's ReTweet button.
You can download the code for your ReTweet button from here. Also you can see the full documentation on the WordPress plugin here. But before you do that, subscribe to The Chronicles of R to be notified when we are updated.