Presents a calculator-type computer program, CLICAL, in conjunction with complex number, vector, and other geometric algebra computations. Compares the CLICAL with other symbolic programs for algebra. (Author/YP)

Presents a public-key cryptosystem application to introduce students to several topics in discrete mathematics. A computer algorithms using recursive methods is presented to solve a problem in which one person wants to send a coded message to a second person while keeping the message secret from a third person. (MDH)

Discusses when to use the computer, paper-and-pencil, or mental-computation procedures. Provides examples of solving problems dealing with roots of polynomial using computer graphing and other strategies. Suggests implications for curricular planning. (YP)

General physics students have difficulties interpreting experimental data and finding mathematical functions that produce curves resembling typical data. Proposes utilizing computer programs that generate graphs to develop function-recognition and curve-fitting skills. Discusses advantages of computerized curve fitting. (MDH)

Describes the Geometer's Sketchpad, a geometric construction kit composed of three manipulatable, dynamic, linked, multiple representation environments: the coordinate system, formulas, and graphs. Examines the use of the environments for studying parameter effects of linear and quadratic functions and for solving linear equations. (MDH)

An educational technique to calculate the lifetime of a comet using software-generated random numbers is introduced to undergraduate physiques and astronomy students. Discussed are the generation and eligibility of the required random numbers, background literature related to the problem, and the solution to the problem using random numbers.…

Undergraduate students in the physical sciences can benefit from widespread availability of microcomputers and their link with numerical methods. Presented are examples of evaluating various transcendental mathematical functions, using numerical methods that emphasize the development of critical thinking skills and practical numerical techniques…

Uses LOGO to enhance the applicability of curve stitching in the mathematics curriculum. Presents the formulas and computer programs for the construction of parabolas, concentric circles, and epicycloids. Diagrams of constructed figures are provided. (MDH)

Illustrated is the use of computer algebra software to assist in both a computational and theoretical way to develop the underlying theory of polynomials and the partial fraction decomposition of a rational function. Background information and a discussion of theoretical considerations are provided. (KR)

Described is the history and characteristics of "A Programming Language (APL)." Discussed are how APL facilitates learning the concepts of variable and function and how to get started using APL. Listed are software for schools and 25 references. (Author/YP)

Describes a function graphing program's 15 Logo procedures and how they are used in the classroom to study the properties of functions and to develop visual imagery of function behavior. Presents several Logo programs. (Author/YP)

Described is a programing application of the software, Mathematica, which allows students to explore the various cases involved in minimizing the sum of squares for the best fit of a regression line. Several examples are included with appropriate software commands. (JJK)

Computational environments that provide integrated numeric, symbolic, and graphical capabilities provide new opportunities for laboratories in Numerical Analysis. Hermite interpolation is one topic that can benefit from such an environment. Describes a laboratory session using Mathematica that allows students to actively experience Hermite…

Describes three teaching activities for secondary school mathematics classroom: designing a house; guessing the slope function in a calculus course; and solving the six problems of bisymmetric matrices. (YP)

Illustrates how teachers or students can use spreadsheets. Shows the layouts, formulas, and data of two cases: budget manager and data manager. Seven references are listed. (YP)