The effect of testing format on achievement was investigated. Statistical analysis indicated no significant differences between any of the four formats used. (MK)

Reasons for changing the mode of teaching undergraduate mathematics are discussed. A description is given of the mathematics program as it has evolved at Victoria University of Wellington, New Zealand. (MK)

An activity leading to the discovery of a property of primes is suggested for encouraging algebra students to make nontrivial conjectures. (MP)

The intention of this investigation was to diagnose the retention of some basic skills in some topics in algebra and geometry and to reveal difficult steps in the learning processes in these topics. (MP)

A method for solving certain types of problems is illustrated by problems related to Fibonacci's triangle. The method involves pattern recognition, generalizing, algebraic manipulation, and mathematical induction. (MP)

Using a staircase to introduce the concept of slope is discussed. (DT)

Eighty tenth-graders studied a two-day unit on quadratic inequalities presented in one of four programmed-booklet forms: analytic treatment with advance organizer, analytic treatment plus introductory overview, graphical treatment with advance organizer and graphical treatment with introductory overview. No differences were found between groups on…

Defines and discusses anamorphic art and describes an anamorphic art activity using the reflection of mirrored cylinders through a grid system. Particularly suitable for algebra or geometry classes. Requires some minimal skills from coordinate geometry and spatial visualization. (AIM)

Discusses how students fail to recognize the underlying equivalence when the same set of points is represented by a graph or an equation or a table. Presents activities in which more than one form of representations of the same information are included. (ASK)

Describes computer or calculator-graphing technology to develop parametric representations which help students connect mathematical topics from algebra and trigonometry through algebraic, graphical, and numerical representations. Computer or calculator graphing utilities instantly transform algebraic expressions into visual and numerical displays…

Describes a method of effectively introducing the concept of radian measure that uses Cabri Geometry II software to construct a circle of arbitrary radius and to measure that radius. The goal is to determine how many of these radii fit around a circle. (DDR)

Presents an interesting problem intended to introduce students to an application of algebra and to help them make the transition from arithmetic to algebra. Uses different problem representations including making successive approximations, interpreting graphs, and solving equations. Discusses pedagogical issues involved. Contains 11 references.…

Describes how the rich examples of geometric images provided by string art can be used to generate some of the mathematics studied by students. Considers string art, graphing calculators, and elementary algebra as appropriate tools for students to use in generating interesting topics of study in mathematics. (DDR)

Describes the development of a method of generating problems that are easy to present in classroom settings because all the important points to be graphed are single-digit integers. Uses an algorithm that generates intersection problems that fit the criteria. A proof of the algorithm is included. (DDR)

Demonstrates how students' power to recognize and express patterns and generality can be exploited in a variety of different ways that are connected to both arithmetic and algebra. Uses the Tunja sequence approach to teach multiplication of negative numbers and simplification of factors. (KHR)