Learning is the most powerful mechanism of cognitive development: Acquiring mathematical competencies

Intelligence cannot make up for lack of knowledge: this is also true for school mathematics. Part of the mental framework that is essential for acquiring mathematical competencies is determined, in the individual, even before school starts, but passing from intuitive mathematics to cultural mathematics requires the support of school settings. All children - even the less gifted - should learn early on that there is more to numbers than mere counting and that describing changing sets is not the only use addition and subtraction may be put to. Good mathematical competencies at the end of schooling are the result of an early start and an intelligent exercise procedure engaging pupils in intellectually stimulating tasks.