The first thing the creators of the Choose Your Own Adventure did incorrectly was making the design look like an actual book, which defeats the purpose of using an eReader (Is that the right term?). It also doesn't cater to it's intended audience, which is children. Right now, the design is very plain and not too engaging. The use of more colors, sounds, activities that visually explain the story, and less text on a single page would definitely draw children's interest much better.
Also, it appears there are several interactive points where the reader can choose to select which part of the book they can read, which is okay. Using a character from the book to explain this option with a cute little animated voice would be even better.
I would even like the map to be interactive in some way. Maybe, if the reader press a page, a snapshot of that page pop out to ensure the reader this is truly the page they want to select.
There are plenty of ways to improve this interactive book, and keeping the intended audience in mind while doing so is key to accomplish this.