A mathematical derivation is given, developing the cardioid as an epicycloid locus. Curve-stitched designs are given for a family of epicycloids. (MP)

Types of presentations for quantitative data are defined and illustrated, and their attributes are discussed with recommendations of formats for specific purposes. (Author/STS)

Graphing is an integrative skill because you can use it whether you are teaching measurement or geometry or number theory or most any other topic. It is also important as a mode of communication which can simplify a large amount of information. Here are five steps for effective presentation of graphing to young students. (Author/RK)

Suggests some aspects of the school environment which can initiate graphing experiences as well as present some guidelines for graphing. (Author/RK)

This paper discusses several applications of combinational mathematics to social situations and problems in the social sciences. (SD)

The meta-analysis investigated the effects on achievement of type of graphing paper employed in displaying student performance data collected over time based on 15 controlled studies with 16 effect sizes. No significant differences in student achievement were found between studies using six-cycle and studies using equal interval paper graphing…

Sophisticated simulations using computer graphics can lead to students deducing virtually all conditions of the Central Limit Theorem. Eight graphs illustrate the discussion. (MNS)

After discussion of the equivalency of the information laws of Bradford, Leimkuhler, Lotka, and Mandelbrot, aberrations from Leimkuhler's law (including "Groos droop" as encountered in practice) are studied. Other aberrations of Leimkuhler's law are explained, starting from generalization of verbal formulation of Bradford's Law. (18…

Considering a fraction as directions for graphing a line through the origin of the x-y plane is suggested. Strengths and weaknesses of the idea are also discussed. (MNS)

How tedious algebraic manipulations for simplifying general quadratic equations can be supplemented with simple geometric procedures is discussed. These procedures help students determine the type of conic and its axes and allow a graph to be sketched quickly. (MNS)

Experiences in collecting and handling data are described. Activities dealing with measures of central tendency (including a computer program), measures of dispersion, an introduction to correlation, and use of graphs to display data are illustrated. (MNS)

A sequence of exploratory activities is designed to help beginners use the BASIC language and make simple pictures by graphing pairs of numbers. (MNS)

Discusses the computer generated graphs that can present trends not apparent in the usual printouts of employee data. (IRT)

Methods for getting a computer-linked plotter to do a total plot of a relation are discussed. (DT)

This paper describes "The Migration Method," a new technique for graphing a quadratic function (one of the major foundations of undergraduate mathematics) and finding its zeroes. The method promotes a higher degree of conceptualization, reinforces the concept of symmetry, encourages mental visualization, and strengthens the ability to…