Evaluation of the cosine function is done via a simple Cordic-like algorithm, together with a package for handling arbitrary-precision arithmetic in the computer program Matlab. Approximations to the cosine function having hundreds of correct decimals are presented with a discussion around errors and implementation.

Several types of converging evidence have suggested recently that skilled adults solve very simple addition problems (e.g., 2 + 1, 4 + 2) using a fast, unconscious counting algorithm. These results stand in opposition to the long-held assumption in the cognitive arithmetic literature that such simple addition problems normally are solved by fact…

The present study aimed to make an error analysis in the problems posed by pre-service elementary mathematics teachers about fractional division operation. It was carried out with 64 pre-service teachers studying in their final year in the Department of Mathematics Teaching in an eastern university during the spring semester of academic year…

Four methods of finding the range of values of the solution of a problem when the data are known to lie within given bounds are illustrated. (MS)

A checklist is presented to identify common problems students exhibit in arithmetic. Alongside general areas of need, common mistakes are listed to help diagnose error patterns for targeting specific skills and designing effective intervention. General areas include readiness, problem solving, whole-number computations, fraction computations, and…