Provides computer programs (for Apple microcomputers) for drawing (in high resolution graphics) a three-leaved rose, concentric circles, circumscribed and inscribed astroids. Sample output and discussions of the mathematics involved in the programs are included. (JN)

Formulas for use in computer programs are presented. Two programming applications are discussed: one to ballistics using inverse sine and one to hours of daylight using inverse cosine. (MNS)

Uses a variation of Hansen's surveyor problem to illustrate how exploring students' assumptions can lead to interesting mathematical insights. Describes methods that utilize self-stick notes and overhead transparencies to adapt computer software to specific classroom needs. (MDH)

Discusses four computer-assisted-instruction programs used in a college-level mathematics course to introduce computer literacy and improve mathematical skills. The BASIC programs include polynomial functions, trigonometric functions, matrix algebra, and differential calculus. Each program discusses mathematics theory and introduces programming…

This workbook was designed to be used as a study aid in any course covering the various techniques of indefinite integration. Many students are able to master each individual technique, but upon encountering an integral on an exam, they often have difficulties in determining which technique to use. By working through all of the exercices in this…

Examines the point of inflection in the curve determined by the hinge of a bifold door as it opens. Determines the equation of the branch function of the curve and calculates its point of inflection. (MDH)

This review guide, prepared as an aid to teachers of Course III, starts with a pre-test review of Course II topics found again in Course III. The five units of Course III, as outlined in the New York State Syllabus, are then separated into nine smaller units. These include: real numbers; complex numbers; functions; logarithms; trigonometry;…

Argues that students should have dynamic perceptual experience with the concepts central to circular functions. Includes a computer program, designed for Apple II, to provide such experience. (PK)

The National Council of Teachers of Mathematics (NCTM) has published three documents that propose standards related to mathematics education called "The Curriculum and Evaluation Standards for School Mathematics" (1989), "The Professional Standards for Teaching Mathematics" (1991), and "The Assessment Standards for School Mathematics" (1995). The…

Two trigonometry problems are presented. The first compares the graphs of the functions arcsin[sin(x)], arccos[cos(x)], and the identity function f(x)=x. The second, using the law of cosines, demonstrates that the solution of a triangle knowing two sides and the excluded angle is no longer ambiguous. (MDH)

Argues that while microcomputer and graphing calculators have evolved to a stage where they should be used routinely by mathematics students at all levels, there is sometimes potential to mislead students with computer generated graphs. Examples are included. (PK)

Presents a team-oriented student activity designed to introduce trigonometric ratios and applications of selected trigonometric functions by constructing tables of values. Can be used at the middle school level. (MKR)

In polar coordinates, the intersection of the graphs of two functions, f(x) and g(x), does not always correspond to the solutions of the equation f(x) = g(x). Presented are examples to illustrate this concept, proofs demonstrating why this is true, and a computer program to simultaneously plot polar coordinate graphs. (MDH)

This document was developed as a resource for secondary mathematics educators. The supplemental guide is designed to help educators challenge their students and provide each student with learning experiences to help them achieve success. Chapters reflect the mathematics curriculum and within each subject, activities are listed in the common…

Presented is a series of eight hands-on exercises using Apple II computer graphics to investigate the following characteristics of periodic functions: period, amplitude, horizontal shift, and vertical shift. Detailed teacher instructions and the accompanying computer program are included. (MDH)