This book is a perfect vehicle for helping children understand and use prepositions correctly (under, next to, up, down, etc.). It might be fun to prepare a mouse obstacle course after reading.
Suggest that after a couple of readings, the parent and child might read together; one telling the story of the inside mouse and the other, the outside mouse. Point out that turn-taking is a great way for a child to accomplish small steps toward enjoying and reading books independently.