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)

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)

Recommends a change in the way mathematics is taught to engineers and scientists. Espouses a shift away from traditional methods to an approach that makes significant use of algebra packages. Suggests that teaching the language comprised of the notation and grammar of mathematics would be of more use and more accessible than focusing entirely on…

This discussion focuses on the problem computer users have in coding basic, traditional algebraic expressions into simple, all-on-one-line expressions as result of their heavy dependence on juxtaposition notation. (MN)

Ideas which apply language concepts to the study of algebra are presented. Discussed are algebraic notation, vocabulary, vocalization, and written assignments. The careful use of algebraic language in mathematics classes is emphasized. (CW)

Reasoning patterns and learning difficulties of six students are illustrated in support of the contention that language and notation often disguise thought. (MN)

Investigated performance of Hispanic science and engineering students (N=43) on reading a sentence describing the mathematical relationship between two variables and writing an equation describing the relationship. Results compared with (1) subjects' grade point average and language proficiency and (2) monolingual group (N=52). (Author/SK)

Language syntax is discussed, followed by an overview of algbraic syntax. Evaluating algebraic expressions was chosen as the means to investigate the psychological basis of syntactic skills. Subjects' ability to perform evaluative tasks appropriately using standard algebraic notation was ascertained; then similar tasks were presented using a…

Although mathematics can be described as a formalized language, the signs and symbols of mathematical representation are subject to individual interpretation, which, if inaccurate, can lead to inhibitions about and interferences with the mathematical learning process. The purpose of this study was to explore communication in an intermediate-level…

A large proportion of college students majoring in science are unable to translate even simple sentences into algebraic equations. Given the following sentence, "There are six times as many students (S) as professors (P) at this university," 37% of 150 freshmen engineering students in a study conducted in 1981 by Clement, Lockhead, and Monk wrote…

This book is designed for those interested in the teaching of mathematics, in both first language and second language contexts, and is based on 15 years' teaching experience in Africa and Asia. The book is designed to present the main issues of language in mathematics teaching, and is therefore not a highly technical work. Chapters included are:…

Presented is a guide for undergraduate mathematical composition with emphases on explicit and clear definitions, purposeful formatting with regard to technical conventions, and proper style with respect to content and prospective audience. Numerous examples are included, particularly those involving complicated mathematical expressions. (JJK)

These conference proceedings include two invited lectures, four working group reports, seven reports from topic groups, one ad hoc presentation paper, a list of participants and a list of previous proceedings. The invited lectures were: "Mathematics Education and Technology" (Christine Keital); and "All One System" (Lynn A.…

This two-volume document provides the proceedings of a conference on the psychology of mathematics education. Plenary session themes were "Diversity and Equity," (with papers by Gilah Leder; Walter Secada; and Ubiratan D'Ambrosio), "Teacher Education," (with a paper by Thomas Cooney), and "Technology" (with papers by…

This volume consists of three articles. "'Language and Society' in the B.A. Scheme," by L. M. O'Toole, is a revised version of some proposals for incorporating a "Language and Society" course in the second year of the B.A. program at the Language Centre. Ten propositions are offered as a basis for discussion. "Some Soviet…