When viewing a piece of music that is notated like this, how does one determine the key? A student sung it to me, and I was able to figure out that the numbers correspond to the scale degrees in a major scale. The numbers without dots above them are in the lower octave. In other pieces of music (all were notated like this) some notes have 2 dots above them which seem to indicate belonging to the octave above.
The student is from China, and speaks almost no English so I had to guess and couldn't ask. I assume this is some kind of Chinese folk music.
Are my guesses correct, and how do I determine what key I should be in? I started in C for simplicity's sake.