An interesting graphical interpretation of complex roots is presented, since it is probably unfamiliar to many mathematics teachers. (MNS)

Three examples of the use of intuitive geometrical ideas in clarifying analytical results. (MM)

Curve-stitching the parabola is used as a means of confirming many of the parabola's mathematical properties and to construct some visually stimulating designs. (MP)

Two problems related to the mean-value theorem lead into a problem requiring the use of the universal chord theorem. This latter theorem is discussed and a proof given. (MP)

Quadrature methods for approximating the definite integral of a function f(t) over an interval [a,b] are in common use. Examples of such methods are the Newton-Cotes formulas (midpoint, trapezoidal and Simpson methods etc.) and the Gauss-Legendre quadrature rules, to name two types of quadrature. Error bounds for these approximations involve…

This article describes a solution, using CAS, to graph theory problem that was presented in the movie "Good Will Hunting."

Representative samples of fourth- and eighth-grade public school students from 21 urban districts participated in the 2011 National Assessment of Educational Progress (NAEP) in mathematics. Eighteen of the districts participating in the 2011 NAEP Trial Urban District Assessment (TUDA) participated in earlier assessment years, while three districts…

Numerical tables of mathematical functions are in continual demand by scientists and engineers for preliminary surveys of problems before programming for computing machines. This handbook was designed to provide scientific investigators with a comprehensive and self-contained summary of the mathematical functions that arise in physical and…

This paper describes the SIGGS Theory Model as it applies to educational systems. This model, designed to simulate a wide variety of systems, uses sets (S), information (I), graph theory (G), and general systems (GS). The educational system is viewed as a set; in one example this set consists of teacher, student, curriculum, and setting. This…

Two mathematical brainteasers, with solutions depending on involved trial-and-error processes, are shown to have ingenious solutions. (MP)