This research addresses the issue of how to support students' representational fluency--the ability to create, move within, translate across, and derive meaning from external representations of mathematical ideas. The context of solving linear equations in a combined computer algebra system (CAS) and paper-and-pencil classroom environment is…

An alternative application of logarithms in the high school algebra curriculum that is not undermined by the existence and widespread availability of calculators is presented. The importance and use of linear relationships are underscored in the proposed lessons. (MP)

Graphical solutions are illustrated for several algebra problems including finding roots of a quadratic equation, solving mixture and motion word problems, factoring the difference of two squares, and constructing the square root of a positive number. (MN)

Graph theory is presented as a tool to instruct high school mathematics students. A variety of real world problems can be modeled which help students recognize the importance and difficulty of applying mathematics. (MP)

Graphs and charts are discussed in terms of levels of applications and skills necessary for effective use. Five activities, most appropriate for upper-elementary or junior high students, are suggested. (MK)

Rational points in the plane were defined as points having both coordinated rational. Students solved several problems linking rational points with lines, circles, and other geometric figures. (SD)

The process skills discussed include: observation; estimation; communication; mensuration; and graph construction and interpretation. Two activities for grade 6 and beyond are suggested. (MK)

Provides examples of such statistical graphs as line, bar, picture and pie. Suggests uses of Logo Turtle Graphics in graph construction. Includes several program procedures for creating designs with the computer. (RT)

Describes an activity which uses the computer to produce an environment that encourages an inductive reasoning approach to ratio and proportion through a billiard ball simulation. Provides examples of graphs and bouncing ball data. (RT)

The Triple Representation Model of problem solving is presented. The use of microcomputers in this problem-solving environment is discussed, and examples are provided. The integration of this method into the mathematics curriculum is described. (CW)

Integrates mathematics and science by investigating the scientific application of the Polynomial Difference Theorem using data points from an experiment. Utilizes the different capabilities of the graphing calculator to investigate a problem whose solution is a second degree equation and makes connections between the mathematical concepts involved…

Promotes the use of computers in teaching not only to solve problems but also to help students be better at analyzing problems and developing procedures for their solution. Outlines several problems where a computer-assisted analysis can help give students a thorough understanding of the topic. (TW)

An activity in which students establish criteria outlining what constitutes wasted paper, calculate averages, and compute the number of trees needed to produce a measured amount of wasted paper is described. The mathematics and science concepts, objectives, rationale, content overview, lesson outline, and extensions are included. (KR)