In what type of play are children engaged in similar or identical activity without organization, division of labor, or mutual goal

Associative play

Explanation:

Associative play is a term that describes one of the plays observed in the development of social play in children or preschoolers, in which children play separately from one another but they are involved with what the others are doing.

For example, children involved in a constructive play activity where they are involved with others in building a structure, thus, while they are all involved in a similar activity, there is no division of labor and no organization of the activity around what materials they use or what type of structures they want to build.

Hence, given the question above, the right answer is ASSOCIATIVE PLAY.