This paper is written to consider the changes in the calculus in the first four years of the new millennium following the significant technological changes in the latter part of the twentieth century that gave rise to Calculus Reform. The analysis is based on a theoretical framework that distinguishes three different modes of mathematical thinking, which result in different worlds of mathematic...

How are we to use the computer in the teaching and learning of algebra? In the longterm the new technology is introducing new possibilities that may radically change the algebra curriculum. However, in the short-term we already have the National Curriculum placing its template on the development of algebra in school. The recent regrouping of topics into five attainment targets has integrated nu...

Introduction. – In what follows, one will find a summary of the projective theory of relativity, as it was developed in the publications G. F. III, IV, V, VI, VIII (), upon starting with the idea, which is due to O. VEBLEN and B. HOFFMANN (), of a projective connection that leaves invariant a given quadric in local space. As in those publications, we shall make use of the method of homogeneous ...

The archaeological sites near Monte Alegre, along Brazil's lower Amazon River, provide new information on the little-known activities and symbolism of South American Paleoindians toward the end of the Ice Age. While paleoindian sites like Monte Verde in Chile, or Guitarrero Cave in Peru, are located near the pacific coast, Monte Alegre lies much further inland, 680 km upriver from the mouth of ...

The language of rules and models, which seems tolerable when applied to “alien” practices, ceases to convince as soon as one considers the practical mastery of the symbolism of social interaction– tact, dexterity, or savoir-faire– presupposed by the most everyday games of sociability and accompanied by the application of a spontaneous semiology, i.e. a mass of precepts, fomulae, and codified cu...

Even though myths have an imaginative component that frequently clashes with logical thinking, their symbolism often resonates with our collective unconscious. The divine inspiration that propels mythological heroes towards the noblest and highest ideals also carries the risk of taunting the jealousy of the gods. This may culminate in fatal results as has happened to Remus when he overstepped t...

IN A 1965 interview with John Thompson, Judith Wright was asked if she considered herself a ‘nature poet’. She replied, ‘No, I don't. My real interest, I think, is the question of man in nature—man as part of nature. The theory of correspondences that Baudelaire brought forward—the question of nature as a symbol for one's experience has always seemed to me to have a great deal in it.’ Thompson ...

The process of Near Eastern neolithization and its westward expansion from the core zone in the Levant and upper Mesopotamia has been broadly discussed in recent decades, and many models have been developed to describe the spread of early farming in terms of its timing, structure, geography and sociocultural impact. Until now, based on recent intensive investigations in northwestern and western...

Despite Saussure's famous observation that sound-meaning relationships are in principle arbitrary, we now have a substantial body of evidence that sounds themselves can have meanings, patterns often referred to as "sound symbolism". Previous studies have found that particular sounds can be associated with particular meanings, and also with particular static visual shapes. Less well studied is t...

According to sound symbolism theory, individual sounds or clusters of sounds can convey meaning. To examine the role of sound symbolic effects on processing and memory for nonwords, we developed a novel set of 100 nonwords to convey largeness (nonwords containing plosive consonants and back vowels) and smallness (nonwords containing fricative consonants and front vowels). In Experiments 1A and ...