Learning Game Design

To start off in learning game design and start thinking about games in terms of design, check out the following resources:

Youtube
3 minute game design (https://www.youtube.com/watch?v=vw76jqF1nkI&noredirect=1). This one helps explain game design in a more theoretical fashion and assists in building some fundamental knowledge of the subject.

Extra credits (https://www.youtube.com/user/ExtraCreditz). This channel discusses various aspects of game design and analyses the pros/cons of different mechanics/approaches.

Websites
Gamasutra (http://www.gamasutra.com/). The website provides articles discussing various game design elementis, as well as interviews/opinions/insights from game developers about the subject.