I never figured out why the buttons are on some intersections where the crosswalk light turns on whether you push the button or not. There are plenty of intersections, though, where the crosswalk lights never come on if you don't push the button, or you might get the light to cross in one direction, but if you push the button, it'll stop all 4 directions of traffic so you can get all the way across. They don't make the light turn faster, it just means that when the stoplight gets to a particular pattern, it turns on the crosswalk light too. This is usually most important on intersections with left turn signals, so you aren't getting run over by people turning left when you're crossing.
So, yeah, I push the button at least 3 or 4 times. It's not that I think it's going to make it work faster, but that I want to make sure it registered my button push at all.
Same with elevator buttons, give it a few pushes to make sure it takes. This is particularly necessary in the building I'm currently working in where the elevator buttons all seem to need repair, so the lights don't turn on to tell you it registered your button push. One elevator may or may not let you off on the second floor...it has to be in the right mood and you have to push its buttons just right.

Fortunately, that elevator is right next to a stairwell that's easy to find, so if someone misses the 2nd floor, they can get off on the third floor and just walk down one flight.
Oh, then we have the crosswalks downtown that are motion sensors instead of buttons.

I hate those. You know how sometimes you go to wash your hands in a public restroom with those sensors on the sinks and nothing happens? I'm never sure about a motion sensor that's been exposed to the elements and covered with fingerprints (because everyone tries pushing it as a button). I don't bother waiting for the crosswalk light at those intersections, because I'm not sure it'll ever turn on with those sensors. I suppose if they do work, then the next person coming along thinks the light turns on by itself if they don't try pushing any buttons.
