If you would like to flesh out your understanding of beats and meters—or if you would like to have a professor lead you through some exercises to help you identify meter in music—take a look at this recording of a lecture by Dr. Craig Wright at Yale University.

It’s not necessary to watch the entire video.  To the right of the video itself are links that enable you to jump to particular points in the lecture called “Lecture Chapters.” I suggest starting at the 2nd link (Beats and Meters).  He’ll take you through the basic building blocks of rhythm and then gets into how you can hear meter in a piece of music.