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)

Suggests that the classical exact formula for the conversion of degrees Celsius and degrees Fahrenheit is not user-friendly. Offers an approximate linear transformation that is easier to remember and use. Investigates both the exact conversion and the approximate conversion and provides interesting and relevant problems for small group…

Presents a teaching experience that resulted in students getting to a point of full understanding of the kinesthetic activity and the algebra behind it. Includes a lesson plan for a traffic jam activity. (KHR)

Describes a laboratory-type activity, liquid assets, used to illustrate, develop, or reinforce central concepts in first-year algebra. These include linear function, slope, intercept, and dependent and independent variables. Presents a group activity for collecting data, transition from group to individual activity in plotting data points, and…

Despite the effectiveness of computer-mediated instructional (CMI) materials, relatively little use is made of technology in mainstream college teaching. This article examines why CMI materials are not widely used; the mediated learning model that embeds CMI materials within a computer-mediated, communication-rich instructional environment; and…

Discusses the difficulties observed in the transition from teaching arithmetic to teaching algebra. Future teachers (n=164) were questioned regarding to what extent they were able to shift back and forth between teaching methods within the context of problem solving. Interviews were conducted individually and in a dyad format. (AIM)

Demonstrates the use of hexagonal dot paper in integrating algebra, geometry, and trigonometry within a single problem-solving setting rather than treating them in isolation. Suggests other related mathematically challenging activities for enrichment. (AIM)

Shows how to find an equation in one variable whose solution set is a given line segment as well as an equation in two variables whose solution set is a given triangle and its interior. (KHR)