Presents a strategy for graphing conic sections on the polar plane without using a table of values by beginning with information gained from the graphs of circular functions. (MKR)

Attempts to answer and generalize the question: When is the numerical derivative obtained on the graphing calculator greater than the actual derivative, and when is it smaller? Discusses symmetric difference. (MKR)

Explores quadratic functions using the graphing calculator. Discoveries are made graphically whereas hypotheses are proven algebraically. Includes traditional quadratics, other algebraic quadratics, nonpolynomial quadratics, transcendental quadratics, and proofs. (MKR)

Described is how the crumpling of paper balls exhibits the concept of a topological dimension similar to fractals. The mass of the crumpled paper ball is found to be proportional to its diameter raised to a nonintegral power. (KR)

An exercise which relates particle scattering and the calculation of cross-sections to answer the following question--"Do you get wetter by walking or running through the rain?"--is described. The calculations used to answer the question are provided. (KR)

Many students have difficulties in interpreting position versus time graphs. Presents an activity involving calculator-based motion labs that allows students to bring these graphs to life by turning their own motion into a graph that can be analyzed, investigated, and interpreted in terms of how they actually moved. (ASK)

Presents different real-world mathematics activities on data display and data analysis with pie charts from different time periods. (ASK)

One of the biggest hurdles in teaching statistics is convincing students that the area under curves has anything to do with all the samples, histograms, and various other indicators to which they have been exposed. Presents two examples to illustrate this phenomenon. (ASK)

Active involvement and infusion of mathematics into familiar, everyday experiences are essential elements in challenging students to engage in true thinking. Presents an investigation on graphing that touches on all representations including tables of values, graphs, and verbal descriptions. (ASK)

The author describes a series of current economic ideas and situations which can be used in the mathematics classroom to illustrate the use of signed numbers, the coordinate system, univariate and multivariate functions, linear programing, and variation. (SD)

Grid paper activities are discussed as a way to help students conceptualize fractions. (MP)

Use of Logo to teach statistical ideas is proposed for students in grades 5-10. Procedures and diagrams are suggested, with program listings for four models for graphs. (MNS)

Given is an example of the solution of maximum-minimum problems by replacing differentiation techniques with microcomputers and simple BASIC programs. (MNS)

Much can be learned from a study of rational functions and the behavior of their graphs, so their inclusion in secondary school mathematics textbooks is urged. Analysis of reciprocal relationships and when they don't apply, asymptotes, and the graphing technique are each included in the discussion. (MNS)

Three activities with Knuth functions are discussed and illustrated, with sample computer programs listed. (MNS)