Street photography perhaps should be named Candid photography to me as today I shot some photos that weren't on the street, but at a middle school basketball game, but what I enjoyed was capturing some images.
Candid photography is basically captured without a posed appearance. This is most often captured by not distracting the subject during the process, but finding these moments is at times difficult...until you start to be more aware and watch carefully....
The act of simply having the camera available and ready, opens up so many opportunities at public locations and more often than not....people are not even aware you are capturing some really special moments.
Get out there and capture some moments. It turns out to be great fun :)