According to Aaron Bronzan on the official LinkedIn blog:
"Starting today, we bring you the ability to reorder the sections on your LinkedIn profile via drag-and-drop. This enhancement, one of the more highly-requested features from our users, gives you the ability to highlight the skills, expertise, and/or experiences that make you stand out.
Your profile is an important part of your online professional identity. At LinkedIn we’d like to provide you with all the tools you need to build and maintain a profile that can showcase your unique professional value. Now you’re in complete control over your professional brand."
Here is a quick demo of how it works:
"The ability to reorder the sections on your profile is just the first of a huge number of enhancements that are coming to your LinkedIn profile in the upcoming months. And, as always, we’d love to hear your thoughts, ideas, and suggestions about how LinkedIn can help you to represent, manage, and share your professional identity."