There is a strange fact that many works written with the purpose to explain what is mathematics, somehow avoid the issue. This paper is aimed at filling this gap. After discussing various descriptions of mathematics as they appear in literature, it is suggested that mathematics is an essentially linguistic activity characterized by association of…

This paper examines the change in young children's understanding of "equal", "more", "less", and "between", words commonly used in equivalent and non-equivalent situations, over a 3-year period. Seventy-six children participated in the longitudinal study. Each year they were asked to share their understanding of these four words. Past research has…

Free word groups are defined as those in which no component necessarily presupposes the use of any other specific component. (RS)

The use of mathematical ideas in linguistics is illustrated by a discussion of a transformational grammar. (MM)

Explores how to develop children's understanding of mathematical vocabulary. Presents a lesson in which the class works on the concept of dimension, and issues raised by a discussion of applied linguistics and mathematics education. Discussion was stimulated by advice from the National Numeracy Strategy (NNS) vocabulary book. (KHR)

Presents a conceptual model of certain processes that may underlie word selection. The model provides the basis of a mathematical expression that can calculate the total vocabulary available in English with an accuracy of 4.33 percent to 0.7 percent. (Author/CB)

Establishes a type-token identity relating type-token ratio and bilogarithmic type-token ratio; uses the Simon-Yule model of Zipf's law to drive the type-token ratio and provide a statistical model of text generation; and refines the model to allow for decreasing entry rates of new words. (26 references) (Author/CLB)

Attempts to find ways to measure transcendental and irrational numbers. Provides methods for analyzing the square root of two, the natural logarithm e, and pi. (MVL)

Advocates "why" and even "if at all" types of questions in addition to the most commonly investigated questions in mathematics education, the "how to" types of questions. Proposes a framework that allows for consideration of mathematics in relation to the rest of human thought and knowledge communicated by formal education. (ASK)

Discusses the effects of mathematical language on the teaching and learning of mathematics. Concludes that educators need to expend far greater effort to bring all students to a fuller understanding of, and appreciation for, the language of mathematics. Contains 18 references. (ASK)

This paper is a report on experimental courses in calculus and linear algebra which have been given for the past three years at Swarthmore College. Computing is used to represent the ideas and concepts of calculus and linear algebra and to facilitate their analysis and exploration. APL is used as the notation. (MN)

Research supported by grants from the National Science Foundation and the Joint Services Electronics Program. (DD)

Paper presented during a colloquium on mathematical linguistics at the Romanian Academy, Bucharest, May 26, 1972. (RS)

Describes current activity in the Netherlands in the area of computational linguistics, mathematical linguistics, and text processing. (AM)