Of course a musician would answer this much differently than a dancer.
If I really wanted to get at this with beginners I'd use Orff and Kodaly rythmic exercises:
Ta, Ta, Ti-Ti, Ta anyone?
But most beginning dancers (IMO) have difficulty finding the beat. "How do I know if it's a waltz or a foxtrot?" is a common question.
Try taking pieces of music and turn down all the treble/high frquencies. This should bring out the bass notes. The beat is established in the bass.
Have your students practice finding the strong beat in the bass:
ONE, two, three
or
ONE, two, three, four
There are even rythmic tracks available on some dance CDs that remove most of the melody and harmony and leave mostly the bass or bass drum.
Hope this helps.
OB