When it comes to expressing the idea of doing something consecutively or alternately, there are several synonyms for the phrase "in turns". One such option is "one after the other" which implies a sequential order. Another possibility is "alternately" which suggests that the actions are being done in a repeated, cyclical pattern. "Intermittently" is a similar term that indicates periodic breaks or interruptions between actions. "Rotating" can also be used to convey the idea of taking turns or sharing a responsibility. Finally, "sequentially" is another synonym that can be used to indicate the order in which actions are taking place.