The term "Order Madreporaria" refers to a group of marine animals that possess a hard, calcified structure called a "madreporite" that helps regulate water flow within their body. Synonyms for this term include "echinoderms," which refers to the phylum that these animals belong to, as well as "sea stars," "starfish," and "asteroids." Other related terms include "Ophiuroidea," which refers to a similar group of animals that lack a madreporite, and "Crinoidea," which refers to sea lilies and feather stars, which are also echinoderms. The study of these animals is known as "echinodermology," and their importance in marine ecosystems makes them fascinating subjects for research and conservation efforts.