The gills move after every they open their mouth to intake water. Gill rakers, located along the anterior margin of the gill arch, strain water that is passed ove the gills and exchange the water for gasses (oxygen and carbon dioxide).
Regardless of the presumed relationship to tiktaalik, you will find gill slits to be present in all vertebrates. In reptiles, the slits would not persist past the embryonic stage but, the crocodiles' jaws were derived from the gill arches. Look up "Ontogeny recapitulates phylogeny."
Some famous female philosophers are Felicia Nimue Ackerman, Mary Louise Gill, Nancey Murphy, and Lilli Alanen. Also included on the list are Amy Allen, Emma Goldman, Judith Sargent Murray, and Jennifer Saul.
The gill filaments are the hair-like structures on the gills which absorb the oxygen from the lamallae. The gill arch, on the other hand, acts as a form of muscle which holds the structures of the gills together. ~Sincerely, A Smarty pants :)