Sweet Dreams are actually made of this instead

In the early 20th century, one Émile Jaques-Dalcroze, a Swiss musician, decided that the available schools of musical instruction were insufficient.  Students, no matter how young they started, were still focused only on the act of generating music-- moving their fingers, blowing into a horn of some sort, or whatever.  There was a huge percentage of the human body that was just being completely ignored!

So in Dalcroze's school, young children were exposed to music at an extremely young age (three or four years old), but were not specifically taught how to make music.  Instead, they were encouraged to move around, to first physically internalize the rhythms and patterns.  Only later were they taught the actual music-making process.  The results are hard to quantify, and there haven't been a lot of really rigorous studies done, but there are certainly indications that it helped the children's sense of rhythm if nothing else.

And now to bring this post back around to the title-- Dalcroze was inspired by eurhythmy, a sort of dance-like performance art (Wikipedia calls it an "expressive movement art") that had been developed a few years earlier in Europe.  Dalcroze called his new school Eurhythmics.  One of his most famous students was Annie Lennox, who would go on to form the band Eurythmics (dropping the h) in homage to her teacher.