Which action is indicative of a child developing gestural communication intention?

The choice indicating a child developing gestural communication intention is when they show an object without referencing the listener. This behavior demonstrates an understanding that they can use gestures to communicate about something, even if the listener isn't directly engaged. Such actions are fundamental in the development of nonverbal communication skills, where the child is starting to convey messages or share attention by indicating objects to others. It highlights an awareness of shared experience and the intention to communicate through gestures rather than relying solely on vocalization or direct social interaction.

In contrast, the other options may involve social interaction or communication but do not specifically highlight the development of gestural intent. For instance, turn-taking in familiar routines indicates participation but may not directly involve gestural communication. Vocalizing for a desired object represents verbal communication, while attending to a speaker visually shows engagement but does not necessarily display the intention to communicate through gestures. Therefore, showcasing an object is a significant marker of a child's burgeoning ability to use gestures for communication.