One really easy way to gently coax your child towards reading for comprehension is to ask them a simple question when you finish reading a book to them–“What was your favorite part?”
This works especially well with picture books because it gives them a chance to review the book by turning the pages and finding the one they like best. Once they find their favorite page, ask them what is happening on this page and why it’s their favorite. You can even download and print out coloring story books and let your kids enjoy the activity of coloring their favorite page.
We ask “what was your favorite part” about lots of things–books, movies, outings, and at bedtime (“what was your favorite thing we did today?”). The mental exercise of reviewing and sequencing the events is great, and it’s also a great way to start conversations and encourage them to tell you more about themselves.