teacher provide a model for children to (allow/ change/ imitate)

In this context, the correct verb is "imitate."

The reason for this choice is that when a teacher provides a model for children, the intention is typically for the children to observe and then replicate or copy the behavior, skills, or actions demonstrated by the teacher. Imitation is a fundamental learning mechanism, especially in early childhood education, where children learn through observing and mimicking adults or peers.

Using the verb "allow" would suggest that the children are being given permission to do something, which does not align with the idea of following a model. The verb "change" indicates modification or transformation, which again doesn't fit the context of following a model that has been provided.

Thus, "imitate" is the most appropriate choice as it directly aligns with the process of learning through observation.