A prevailing theory of mathematical problem solving predicts that children will be less accurate solving a + b = c + __ problems versus a + b = __ + c. However, this has never been tested directly. Because of low base rates, information combined from multiple studies can help improve estimation accuracy and precision. This study compared…

To investigate the development of function concepts and their relation to mathematical and logical abilities typically acquired during the age period of five to seven years, children were tested on nonnumerical function tasks, numerical tasks, and aspects of logical reasoning. (PCB)

The influence of cultural practices on the cognitive development of largely unschooled children was investigated among 23 candy sellers and matched non-vendors between 10- and 12-years-old who resided in northeast Brazil. Findings are interpreted as supporting a model of cognitive development in which children construct novel understandings while…

Studied the sociocultural context in which Brazilian children acquire and use everyday mathematics in terms of currency use. Participants were 105 children, ages 4 to 11, and their parents. Found decreased use of currency with increasing age. Children also used currency to aid their problem solving and progressed from global estimates to the…

Examined the developmental sequence through which adolescents progress in solving a physics problem (balance beam ratio and proportion) and a social problem (predicting the behavior of a story character). Although most of the 9- through 19-year-olds performed at predictable and similar developmental stages on each task, a minority were more…