With ongoing concerns about environments that push teachers toward increasingly structured assessments, thus reducing opportunities to observe young learners' mathematical capabilities, the publication of this special issue on formative assessment is especially significant and timely. The articles illustrate how we cannot rely solely on…

The concept of symmetry is fundamental to mathematics. Arguments and proofs based on symmetry are often aesthetically pleasing because they are subtle and succinct and non-standard. This article uses notions of symmetry to approach the solutions to a broad range of mathematical problems. It responds to Krutetskii's criteria for mathematical…

Some ways of thinking and acting geometrically are described which are related to the approach used by ancient humans. The focus is on intuitive geometric imagery, an attempt to resurrect a way of describing possible viewpoints of geometry outside of those commonly accepted. (MP)

The focus of this article is on how computer graphics can be integrated throughout the engineering graphics curriculum to increase visual perceptual skills. Visual perception is defined, the need to develop it is described, and methods which engineering graphics educators can use to develop it are outlined. (KR)

Online searching is a complex problem solving task requiring the searcher to combine multiple sets into Boolean expressions. Since spatial ability has been correlated with problem solving tasks which involve abstract conceptual associations, this report argues that it is a significant factor in the information user's ability to both comprehend and…

Proposed is a hierarchy of visual learning giving three primary stages of visual learning as well as seven hierarchical stages. A clarification of terms associated with visual learning is presented. (KR)

This guide provides a rationale and approach for translating Howard Gardner's theory of multiple intelligences into classroom practice. Chapter 1 explains Gardner's theory and gives the definitions of the seven intelligences he identifies: verbal/linguistic, musical/rhythmic, logical/mathematical, visual/spatial, bodily/kinesthetic, intrapersonal,…