Your ideas seeem to be more about you being a good parent rather than what your child wants. Or could it be that this is what you would have wanted when you were a child.
A good idea would be to ask your daughter.
Rather than "maybe spark an interest in science or math" how about sparking a childlike interest in nature and humanity. Insects, animals, clouds, the moon and the stars. Dare I say dolls, more appropriate for her developmental needs.