Twenty-nine children with learning disabilities (LD) in grades 2 and 4 through 7 were compared with children without LD for their development of proportional structures of thought. Significantly fewer children with LD had constructed second-order logical structures necessary to act on problems using multiplicative and preproportional reasoning.…

A task was developed to differentiate the reasoning of elementary school students in fifth, sixth, and seventh grades. Subjects completed 16 matrices containing two, three, or four dimensions and varying in the embeddedness of the dimensions. They also solved a formal operational task assessing ability to isolate, exclude, and include variables.…

Reviews the neural modeling principles of learning, perception, cognition, and motor control, discusses their applications to sensory-motor problem solving, and explores possible relationships between that pattern of problem solving and aspects of higher order formal operational problem solving. Cites implications for science education. (ML)