Brand new Sunlite Low Profile Alloy ATB Pedals w/ Toe Clips.  

There are a number of reasons for using either toe-clips (pedal straps) or clipless pedals:

Beginner cyclists use these pedals with toe clips as a bridge before graduating to clipless pedals and shoes.  Experienced cyclists sometimes still use pedals with toe clips because they already know that a lot of energy is expended simply keeping the balls of your feet centered on the pedals and they don't want to have to deal with an extra pair of shoes so these pedals allow them to be wearing comfortable shoes when they hop off the bike (if you've ever seen cyclists with their special cycling shoes all walking into a bagel shop after a long morning ride it is quite the sight and almost looks like they have high heels on backwards :)