A model for the analysis of paired comparison data is presented which is metric, mathematically tractable, and has an exact algebraic solution. (Authors/MB)

The problem of rounded numbers used in computations on digital computers is discussed and examples showing the effect of round-off errors are given. (DT)

An outline of the way that fractions might be presented in ninth grade algebra is given, and implications for elementary school instruction are noted. (DT)

A procedure is outlined showing how the axiom of local independence for latent structure models can be weakened. (CK)

Relations between maximum likelihood factor analysis and factor indeterminacy are discussed. (CK)

Described is a student-discovered algorithm for solving a problem involving division by a fraction. (RS)

Facts are given about the ninth-century Arab mathematician Al-Khwarizmi, from whose name the word algorithm is derived. His influence on algebra and arithmetic are discussed. (MNS)

Discusses the notion that knowledge grows exponentially and describes its growth mathematically by an exponential function. Growth patterns in subfields of knowledge or research areas are described citing related research. Interpretation of growth rate statistics and forecasts are included. Thirty-three references and statistics used for graphs…

The general algorithm used in most hand calculators to approximate elementary functions is discussed. Comments on tabular function values and on computer function evaluation are given first; then the CORDIC (Coordinate Rotation Digital Computer) scheme is described. (MNS)