The truth is, that almost just by being around an educated parent, children grow up to be smart/successful. Pushing them in certain directions, or trying to teach them may be effective, or it may backfire. Being hands off, likewise, may be a good or bad decision. Either way, they won't be failing 4th grade arithmetic.
If you want all your kids to grow up to be multimillionaires and senators, then you're probably going to have to push, and push hard. If you're fine with them being content but unspectacular (with the option to go for spectacular if they're inclined), then take a more relaxed stance.
Of course, I've never had kids, only been one. So take this with a grain of salt.