I have been searching around for a place to start, but the internet has failed me so far.
I'm trying to connect multiple buttons to a single connection on my Arduino Uno, and use them to change the color of the connected RGB LED strip. I have some minor programming experience, and I'm basically just looking for a basic idea of the what might work to program the buttons.
How about to start with some basic tutorials and examples!? For example here: https://www.arduino.cc/en/Tutorial/BuiltInExamples
How many buttons? What kind of buttons? What do you mean single connection? If the internet has failed you, try your local library.
I have been searching around for a place to start, but the internet has failed me so far.
What on earth were you googleing?
The words:-
arduino multiple buttons analog input
gives lots of relevant hits and schematics. This was number two:-
http://tronixstuff.com/2011/01/11/tutorial-using-analog-input-for-multiple-buttons/