An OECD paper on education noted that American education lags the civilized world in tests largely due to the neglect of the gifted students; most of American education funding is spent on the under achieving portion of the spectrum, with under %3 of the programming funding going to gifted programs.
People who have higher IQs usually earn more money. As such, children of highly intelligent people should get better educations than most people. When someone gets a better education, they are smarter and earn more money. Intelligence should be passed on from one generation to the next simply because smarter people should pass on those social traits.
Strongly heritable yes, but still only partially heritable. A child's individual skills, proclivities, and performance should be looked at and the more gifted given the opportunities to develop their abilities. Those who aren't as gifted of course still need a good quality education, but I'm saying those who are very gifted should have access to more advanced education.
Two fairly intelligent phd educated parents here (as far as IQ can be used to define intelligence as I've met rather a few professors in my career who might border on the retarded in other capacities, the vast majority mathematicians...) and we have a low IQ child with learning disabilities. While I'd love my child to get access to the best quality of education possible, that is because I realise it may in some way compensate for her innate lack of academic ability and may open doors to greater financial security etc. So no, firstly I do not support the assumption at all that intelligent parents will have more intelligent children, it is a fairly weak statistical relationship with many exceptions . And secondly I think all children need help to reach the best of their potential and that need not be in an academic capacity. Also, it is important to note that the children of intelligent parents may often have a significant advantage already as their parents can often afford excellent schools, help them with their homework, and they also teach their children a better work ethic and how to speak and act like intellectuals, when in fact they are not particularly different from the average.
There are no guarantees that the children of highly intelligent parents will completely share hereditary mental traits. The only way to really determine a child's intelligence is putting them through the same education as other children and figuring out from there what they are actually capable of and what they are not capable of.
Kids with higher IQs need to have special treatment to ensure that they get education that challenges them and pushes them to their full potential. However, this extra treatment should not be based on the IQs of parents. Instead, kids should be treated depending on their own individual performance in the classroom.
No, someone who may not have came from parents with a high IQ can still be smart, and even if they are not all that book smart, with a good solid work ethic they can out work the naturally smart people, and be better at a high quality job position.