Questionnaires were completed by 100 parents of kindergarten-age children whom the parents thought to be mathematically precocious. Five factors were found to characterize responses: (1) general intellectual factor; (2) short- and long-term memory; (3) rote memory; (4) spatial reasoning; and (5) specific relational knowledge. Parents were able to…

A major goal of mathematics teaching is the involvement of students in the personal process of discovering mathematical ideas and formulating problems. The process of an inductive leap followed by a deductive argument is used in mathematics courses at Phillips Exeter Academy (New Hampshire). Mathematical problems are presented in which the givens…

A two-year study randomly assigned children (K-grade 2) with advanced mathematical skills (n=276) to two groups, an intervention group reflecting a constructivist approach or a control. Boys gained more than girls on quantitative and visual-spatial measures in the control, whereas the intervention group made greater gains in quantitative measures…