This study analyzes the procedural explanations written by remedial college mathematics students. Relevant literatures suggest that six communication activities might be key in effective procedural explanations in mathematics writing: (a) orienting the learner, (b) providing kernels or definitions of concepts and procedures, (c) using exemplars or…

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)

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)

A major component of student difficulty with algebra is the inability to make sense of the algebra symbol system as a language. Accordingly, remedies should be sought by considering algebra in a linguistic sense. (PK)

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)

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…

Implements a table algorithm on a spreadsheet program and obtains functions for several number sequences such as the Fibonacci and Catalan numbers. Considers other applications of the table algorithm to integers represented in various number bases. (YP)

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…

Shows step-by-step use of spreadsheets with an example from linear programing using the Simplex method. Describes pivot choosing and partial Gauss-Jordan elimination procedures. (YP)

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, five topic group reports, a list of participants, and a list of previous proceedings. The invited lectures were: "Teaching Mathematical Proof: Relevance and Complexity of a Social Approach" (Nicolas Balacheff) and "Geometry Is Alive and…

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.…