[retroafroman]

You could simply tell current and potential employers that you enjoy learning and gaining new knowledge. I think you could do better than that, however.

I think the best way to show off self obtained knowledge in a resume is to turn the knowledge into experience, and list it in a "Skills" section of a resume. An example is to learn all about virtualization, then set up a whole lab of virtual machines and practice setting up, shutting down, managing VMs. Pure knowledge subjects like higher math is more difficult to show this way.

An even better way is to have projects, and list those as well. If you leverage your coding knowledge/experience and make a web app, list that. If it's a project that they've heard of (even if it was just viral for a short period of time) that's a huge bonus. Also, committing to popular open source projects is a big way to show off that you know how to code as well.

While it is certainly awesome to be proud of learning and knowledge, employers want to know what you can DO, not so much what you KNOW. Turn knowledge into an experience and it will be more valuable, and you'll know it better.