Studied children's transitive inference where representation of premises provided contradictory information depending on position of two elements in a A, B, C series. Eight-year olds did significantly better on the more complex problems than did six-year olds, suggesting the presence of a developmental sequence of algorithms that enable children…

Higher order cognitive development and success in the study of high school mathematics and science require an understanding of rational number concepts and facility with proportional reasoning and computation. Proportional reasoning is an essential schema for developing formal operational thought. This study involving 16 ninth-grade students was…