Echinoderms live in many different ways, but most crawl around on the sea-floor looking for food. Sea lilies, however, are stationary, and are attached to the sea floor with a long stem. At the end of the stem is their body, from which lots of arms wave around to catch food that floats past.
Fossil echinoderms are quite easy to spot, as they are made of chunky plates of a mineral called calcium carbonate. Most also have an obvious five-sided symmetry - for example most starfish have five arms.