Hi Dr. Caliban,
Which iPod are you using? The article below will help you with this.
This site will provide the User Guide for all of our products:
I'm including the manual for the iPod Nano 7th generation for you.
The information on how to repeat and shuffle music is on page 19.
It sounds like you may have the repeat button pressed, and you will need to tap on it to turn it off.
Hopefully this information will get you started!