With the increase in the amount and dimensionality of scientific data collected, new approaches to the design of displays of such data have become essential. The designers of visual and auditory displays of scientific data seek to harness perceptual processes for data exploration. The general aim is to provide ways for raw data, and the statistical and mathematical structures they comprise, to "speak for themselves" and, thereby, enable scientists to conduct exploratory, in addition to confirmatory analyses of their data. The present primary approach via visualization depends mainly on coding data as positions of visually distinguishable elements in a two- or three- dimen sional euclidean space, e.g., as discrete points comprising clusters in scatter-plot displays and as patches comprising the hills and valleys of statistical surfaces. These displays are immensely effective because the data are in a form that evokes natural perceptual processing of the data into impressions of the presence and spatial disposition of apparent materials, objects, and structures in the viewers apparent physical environment. The problem with this mode of display, however, is that its perceptual potency is largeiy exhausted at dimension three, while we increasingly face the need to explore data of much greater dimensionality. The challenge posed for visualization researchers is to develop new modes of display that can push the dimensionality of data displays higher while retaining the kind of perceptual potency needed for data exploration.

Drawing on the fields of artificial intelligence and cognitive psychology, offers a theory that integrates knowledge of how intellectual breakthroughs occur.

Perkins reveals the common misguided strategies students use and offers teachers and parents advice on how they can help their children. Although there has been a great deal of impassioned debate over the sad state of American education today, surprisingly little attention has been paid to how children actually learn to think. But, as David Perkins demonstrates, we cannot solve our problems in this area simply by redistributing power or by asking children to regurgitate facts on a multiple choice exam. Rather we must ask what kinds of knowledge students typically acquire in school. In Smart Schools, Perkins draws on over twenty years of research to reveal the common misguided strategies students use in trying to understand a topic, and then shows teachers and parents what strategies they can use with children to increase real understanding.

First published in 1987. Routledge is an imprint of Taylor & Francis, an informa company.

'Different minds learn differently' writes Dr Mel Levine, one of the best-known education experts and paediatricians in America today. And that's a problem for many children, because most schools still cling to a one-size-fits-all education philosophy. In A MIND AT A TIME, Dr Levine shows parents and others who care for children how to identify these individual learning patterns. He explains how parents and teachers can encourage a child's strengths and bypass the child's weaknesses. This type of teaching produces satisfaction and achievement instead of frustration and failure. Different brains are differently wired with eight fundamental systems of learning that draw on a variety of neurodevelopmental capacities. Certain students are strong in certain areas and some are strong in others, but no one is equally capable in all eight. Learning begins at school, but it doesn't end there. Frustrating a child's desire to learn will have lifelong repercussions. We must begin to pay more attention to individual learning styles, to individual minds, urges Dr Levine, so that we can maximise our children's learning potential. A MIND AT A TIME shows us how.

Published in 1981, Psychology of Mathematics for Instruction is a valuable contribution to the field of Education.