With fresh inspiration from a course I just finished here at Stanford on "Casual Learning Technologies for the iPhone" in which we designed casual apps for kids and adults, I've authored a 2-part article for Smartbean. The first is a brief discussion of research on the power of learning through games (including Gee's principles on "good learning" with well-designed games) - Of iPhone Apps for Kids and Learning Through Gaming – I, and the second part is a fairly exhaustive list of some of the best iPhone apps for kids (ages 3 - 13) categorized by subject (art, math, science, languages, puzzles, and such) - Of iPhone Apps for Kids and Learning through Gaming – II
Please do read, and share your thoughts and comments. I'd welcome suggestions for other good apps for kids that I may have missed. Thanks!