Information processing by intellectually gifted pupils solving mathematical problems

What differences may be found in the way gifted pupils, as compared with average pupils from the second form of lower secondary education, process information while solving mathematical problems? Gifted pupils apparently solved the problems better, faster and needed less assistance than average pupils. A global distinction of the subprocesses orientation, execution and evaluation also allows for the conclusion that in most cases the gifted pupils processed information in a different fashion. The yield of this line of research should be the improvement of education in two respects. For one, the results may induce teachers to adapt their teaching to gifted pupils. Secondly they may try to teach average pupils to process information like gifted pupils typically would.