In this article, the authors share activities designed to help students make a connection between the complex roots of X[superscript 2] - 2x + 5 = 0 and the graph of y = X[superscript 2] - 2x + 5. We piloted these activities in three precalculus classes. The activities involved both concrete and technological representations of the mathematical…

Since the dawn of civilization, pictorial representations and symbols have been used to communicate simple statistics. Efficient and effective, they are still used today in the form of pictures and graphs to record and present data. Who can tie their shoes? How many calories are in your favorite food? Make data and graphs relevant and interesting…

Describes how to involve students in higher level thinking processes through the use of microcomputer graphing software. Provides two complete lesson plans for upper elementary or middle school students, one on geography/state products study and the other on civil war resources. (JDH)

Presented is an interactive Applesoft BASIC program that graphically demonstrates the central limit theorem. It can be used as the basis of a lab to illustrate the main conclusions of the theorem. (MNS)

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…

Described is a situation where students are allowed to enlist the aid of a computer graphing program to produce graphs for their lab reports. (KR)

Graphs equations in two variables using a BASIC screen-sweep program that generates solutions to equations by applying the intermediate value theorem. Provides suggestions for investigations that result in graphs of a butterfly, the Cheshire cat, the Trisectrix of Catalna, E. T. waving goodbye, a praying mantis, and others. (MDH)

Describes how the computer algebra system Mathematica can be used to enhance the teaching of the topics of sequences and series. Examines its capabilities to find exact, approximate, and graphically generated approximate solutions to problems from these topics and to understand proofs about sequences. (MDH)

Describes activities designed to encourage students to analyze and interpret graphs. Activities include using software to draw clear bottles, fill them gradually, measure and record the water height, then graph the volume and height relationship; graphing cause and effect relationships between gender, height, and shoe size; and graphing…

The use of microcomputers to aid geometry instruction is emphasized through discussion of a program written in BASIC which provides for experimenting with polynomial curves. The program listing is included. (MP)

Simple graphing activity helps primary students make the jump from counting concrete objects to understanding abstract symbols. As part of the activity, students vote for their favorite season, then stand up and become a graph of the data they collect. The activity requires the Graph Club Classroom Kit software program. (SM)

After discussing the role of supercalculators within the business calculus curriculum, several examples are presented which allow the reader to examine the capabilities and codes of calculators specific to different major manufacturers. The topics examined include annuities, Newton's method, fixed point iteration, graphing, solvers, and…

This paper outlines the development of an activity that uses the computer's unique capabilities to provide students with a meaningful and highly motivating experience with the graphing of equations. The basic design of the game calls for the computer to display a coordinate grid on which it graphs any equations that are typed in by the student.…

A program designed to tutor algebra students in inequalities is presented. The program is designed around the graphics of the Apple II computer, and randomly picks graphs, and shades inequalities. (MP)

Described is an instructional method that makes use of an electronic spreadsheet for the numerical and graphical introduction of the fundamentals of Taylor polynomials. Included is a demonstration spreadsheet using the expansion polynomial to evaluate the cosine function. (JJK)