I'm 17 years old, and my parents have always been very open-minded while raising me. Indirectly I have been encouraged to a way of autodidaction and philosophical reflection. While this may be a difficult thing to achieve, I think it's better to be slightly more subtle when trying to raise an "intelligent kid" as opposed to the dichotomy suggested in the summary - between the theory of a fixed intelligence and a mastery-oriented attitude, I think there's much more. More about the actual encouragement of free thought and individual reason. Having said that, it's naturally also important to motivate children, inspire them - both for the purpose of encouraging self-learning and the purpose of helping them find their interests and character. For example, introduce them to your interests, like computers or science. If they show interest themselves, further it by teaching them more, but also give them an overview of a wider array of hobbies and suchlike.
The first rule of intelligent tinkering is to save all the parts. -- Paul Erlich