From p 17 of the DW rulebook:I don't know about the others, but you absolutely take turns in Dungeon World. Just not in any particular order.
As we play, the rules will chime in, too. They have something to say about the world. There are no turns or rounds in Dungeon World, no rules to say whose turn it is to talk.
Of course there is "turn taking" in the sense of giving everyone at the table an appropriate chance to speak. But there is no taking of turn in the D&D sense (as the quote from the rulebook indicates), no action economy, no resolution of action by application of movement rates to a map or grid, etc.