Young children have been taught simple sequences of alternating shapes and colors, referred to as "patterning", for the past half century in the hope that their understanding of pre-algebra and their mathematics achievement would be improved. The evidence that such patterning instruction actually improves children's academic achievement…

An extraordinary variety of experimental (e.g., flicker, magnetic fields) and clinical (epilepsy, migraine) conditions give rise to a surprisingly common set of elementary hallucinations, including spots, geometric patterns, and jagged lines, some of which also have color, depth, motion, and texture. Many of these simple hallucinations fall into a…

Postformal thinking concerns questions of meaning and purpose, multiple perspectives, human dignity, freedom, and social responsibility. Curriculum and instruction based on postformalism involves detecting problems, uncovering hidden assumptions, seeing relationships, deconstructing, connecting logic and emotion, and attending to context. (SK)

The differences between learning disabled (LD) and non-LD children's problem-solving protocols were analyzed during a picture arrangement task. Although the groups of 29 LD and 27 non-LD children were comparable in global mental processing and task performance, LD children had difficulty with representing problems and deleting irrelevant…