Hmmm....I read the question as something more than asking about her day at school and getting a detailed response. I thought the OP was asking about getting more elaborate responses to any question that might not be in the child's "favorite subjects to talk about" list....more to the point of being able to respond to questions in the classroom and in social situations. But I could be wrong.
I guess I'd recommend trying some questions that don't have a yes/no answer....praising for response with detail......telling your own stories back for example, etc.
cj/