Many have asked and finally an answer to the question exactly what is syncopation?

According to reference.com http://dictionary.reference.com/browse/syncopation

syn·co·pa·tion? [sing-kuh-pey-shuhn, sin-] - 1. Music. a shifting of the normal accent, usually by stressing the normally unaccented beats.

There was no dance definition.

So syncopation in dancing is a change to the normal rhythm. One example is a yemenite step. Normally the way we do a yemenite step is

Step 1, step 2, step 3, pause 4

As we saw with Shmulik when he was hopping around like a goat, he said a male syncopation was

Step 1, pause 2, step 3, step 4

Well in Shmulik's case it was more like jump 1, pause 2, ...