<p>mathboy, you and I can agree to put a stop to this. All I am saying is that there is tremendous research, beyond personal experience of one math professor or one clinical psychologist, as to what IQ is, its relation to math ability, what math ability is in relation to abstract thinking, and the inter-test reliability between SAT and IQ.</p>
<p>It seems to me that you are trying to say that current math/sci tests have a low ceiling. Actually, so does the Wechsler IQ test in relation to the old Stanford Binet. The stats I am talking about are on the websites: the no of students who get 5s on AP tests, maybe difficult to find out how many do so on 7 or 8 of them, but National AP Scholar comes close as does AP scholar with distinction. I repeat, adcoms calculate the Academic Index, based on SAT scores, then use AP scores and GPA and rigor to get pretty good idea of the top students.</p>
<p>This is not to say that AP Calculus or AP Physics are very difficult. I do not know what a standard student body is. Most kids in America do not even take many APs, do not score highly in them. We cannot construct policies around a few top high schools. A more difficult test would only cater to a minority of students.</p>
<p>Sometime ago I spoke to a Princeton math prof on advanced math in high school. He said the vast majority of kids who take even diff eq and Lin Algebra at high school are not well versed, that Pton has them repeat these courses, that most high school teachers do not teach these higher level courses all that well, and that other than a few geniuses taking advanced math courses in high school is pretentious since the quality of abstraction does not develop until later teens. Again, one prof's view, needs to be taken with a pinch of salt.</p>
<p>Best wishes.</p>