Discusses the use of maps, signs, street numbers, logos, and other types of signs. Suggests that the principles of wayfinding or mapping can be applied to the layout of user information and equipment. (JOW)

A question about the historical origin of equal sign and double arrow symbolism in balanced chemical equation is raised. The study shows that Marshall proposed the symbolism in 1902, which includes the use of currently favored double barb for equilibrium reactions.

This paper presents an analysis of the different types of meanings that an individual may assign to a collection of algebraic symbols depending on the mathematical context in which the symbols are presented and the mathematical knowledge possessed by that individual. Four contexts for the Quadratic Theorem are used to illustrate the ways in which…

In this commentary on Matthew Inglis' "Three Worlds and the Imaginary Sphere" (see EJ1106688), David Tall develops the theme that the building of theories is not an easy process. A theory in progress is a particularly delicate creation. Theories do not appear fully formed. There is a period of exploration and incubation that precedes the…

This article sketches the historical development of arithmetic and algebraic symbols. (SD)

I argue that Vygotsky's theory of concept formation (1986) is a powerful framework within which to explore how an individual at university level constructs a new mathematical concept. In particular, this theory is able to bridge the divide between an individual's mathematical knowledge and the body of socially sanctioned mathematical knowledge. It…

Presents transcripts of interviews with two children to illustrate their understanding of traditional fraction notation. Suggests an activity to help children construct schemes to coordinate units. (MKR)

Educators define number sense as a set of conceptual relationships between quantities and numerical symbols. The instructional principals of teaching number sense and number worlds program are mentioned.

It is shown that the symbols for the fundamental units of mechanics, namely length, time and mass, are capable of a meaningful interpretation as positive real parameters. Then a suitable parameter domain allows one to take the derived units into account. The formal manipulations usually carried out with symbols of physical quantities, involving…

The process standards of communication and representation in the "Principles and Standards for School Mathematics" are critical tools to help students develop mathematical literacy. In the mathematics classroom, students need to be encouraged to use speaking, listening, reading, and writing to communicate their understanding of mathematics words,…

With both high retirement and high attrition rates among educators and a nationwide increasing student population, more teachers are needed. With the impact of a teacher shortage, educational systems began to examine the alternative certification methods. Alternative routes to teacher education profoundly impact the teaching force. The "Ways…