I can’t tell you in my own words how to turn off retweets but Roberto Baldwin writing online at Wired.com in an article called “Tame Your Twitter Feed By Killing Annoying Retweets” describes how to do this. Baldwin writes, “While many apps will let you adjust Twitter settings, to make sure your changes are universal, head to Twitter.com. Log into your account and click on Followers below your profile avatar in the upper left-hand corner of the page. You'll be presented with all the people (or brand robots) you follow on Twitter. To disable a person's retweets from others, click on the silhouette to the left of the blue Following button.
A contextual menu will appear and from there you can select Turn off Retweets. This won't stop you from seeing manual retweets – the type that begin with RT or have quotes around the text of the original tweet. Fortunately, these always include some sort of commentary from the person you follow. And hey, additional commentary is good. Getting spammed with random tweets from strangers? Less good.”