Recent studies reveal that children can solve proportional reasoning problems presented with continuous amounts that enable intuitive strategies by around 6 years of age but have difficulties with problems presented with discrete units that tend to elicit explicit count-and-match strategies until at least 10 years of age. The current study tests…

Tasks based on the function concept (y = f(x)) were used in a study charting the development of anticipation in children from 5 through 7 years of age. In each task a desired outcome was a function of a combination of specific, rule-constrained, antecedent conditions. Subjects' behavior was scored according to criteria differentiating six levels…

Describes a study that investigated probabilistic intuitions held by students (N=98) from grade 7 through college through the use of a questionnaire. Of the misconceptions that were investigated, availability was the only one that was stable across age groups. Contains 20 references. (DDR)

Examined the development of proportional reasoning by means of a temperature mixture task. Results show the importance of distinguishing between intuitive knowledge and formal computational knowledge of proportional concepts. Provides a new perspective on the relation of intuitive and computational knowledge during development. (GLR)