There are 3 easy ways to share an article: Facebook, Twitter, and Email.
The buttons to share posts are located above and below an article's content.
In more detail -
Click directly on the blue Facebook button, which will either say "Recommend" or "Like." Others may have already recommended the article, so that share count will display next to the blue button.
You can "Tweet" the article to your followers and the world at large. Tweet count will display next to the button.
Click on the Email link, and complete the pop-up form that appears. Then click "Send." This pop-up also gives you the Facebook and Twitter share options again, and a quick link to the article you can grab.