Equation problems elicited a strategy in which the subject attempted to isolate the X variables on one side of the equation, whereas word problems elicited a strategy in which the subject attempted to reduce the expression. These results suggest that problem format influences the type of strategy used to solve algebra problems. (Author/PN)

A graphical representation is used to construct a line one centimetre in length. (MP)

Four unusual mathematics problems with interesting routes to solution are presented. A general method of solution to problems of this type is proposed. (MP)

A method for sketching functions and finding slopes and roots rising synthetic division is illustrated. (MK)

A generalized method of synthetic division where the divisor polynomial may be of any degree equal to or larger than 1, and the dividend polynomial may be of equal or larger degree than the divisor polynomial and a generalization of the familiar remainder theorem, are presented. (Author/MK)

The topics of angle construction, angle trisection, and regular polygon construction with only a straightedge and compass are discussed for angles with integer measure. (MP)

A method is developed for finding the equations of two circles that intersect at points with integral coordinates. Such equations are useful for the introducing systems of quadratic equations. (MP)

An investigation of these numbers is shown to give students an opportunity to make use of such mathematical skills as algebraic substitution, modular arithmetic, counting arguments, and mathematical induction. (MP)

To improve mathematics skills of freshmen, the College of Engineering at the University of Illinois at Urbana-Champaign has instituted a mathematics placement test and a summer algebra and trigonometry review program. (BB)

An example is given of a class of problems whose solutions require the use of a scientific calculator in order to plot the graphs. (MP)

The five mathematics problems to be solved by high school students participating in the Fifth U.S.A. Mathematical Olympiad are given. (DT)

A method is given for generalizing Pascal's triangle to three dimensions. (DT)

A geometric approach to the solution of quadratic equations and more general polynomials is based on finding points with minimum distance from the x-axis. The approach is useful in motivating the definition of complex numbers. (SD)

In posttest results, 76 prealgebra students who learned about functions in a unit emphasizing multiple formats, anchoring learning in a thematic context, and problem solving in cooperative groups were more successful at problem solving and problem representation than were 56 comparison students conventionally taught. Similar results were found for…

Suggests that, for some classes of functions, an algebraic method is available that provides a nonstandard application of the discriminant conditions as well as an exact method of optimization for precalculus students. Examples are given, and students should compare these methods with others regarding generality, ease, and efficiency. (AIM)