Discusses Newton's method for approximating the roots of functions, indicating that students who program in BASIC can learn and appreciate the method by writing their own programs. Includes a hypothetical dialogue between teacher and student about the topic; sample program listings; and problems assigned to students who have written programs. (JN)

Discusses activities to help students make visual generalizations about power and exponential functions, methods to determine an approximate function represented by data using logarithms, hands-on activities, and student activity sheets. Includes a Pascal Turbo computer program which generates random numbers. (MKR)

A narcissistic number is a positive integer equal to the sum of its digits raised to an integral power. For example, 15 is equal to 1-cubed plus 5-cubed plus 3-cubed (a narcissistic number of order three). A computer program to find narcissistic numbers up to 10,000 is given and discussed. (JN)

Presents a classroom-tested, easy-to-use, multipurpose program (written in Applesoft BASIC) for graphing equations. A complete listing of the program (which is suitable for a wide range of applications in grades 7-12 mathematics classrooms) is included. (JN)

Provides several algorithms that use extended precision methods to compute large factorials exactly. The programs are written in BASIC and PASCAL. The approach used for computing N considers how large N is, how the built-in limitation on exact integer representation can be bypassed, and how long it takes to compute N. (JN)

Presents an example of mathematics from an algorithmic point of view, with emphasis on the design and verification of this algorithm. The program involves finding roots for algebraic equations using the half-interval search algorithm. The program listing is included. (JN)

The author presents two examples of lattice multiplication followed by a computer algorithm to perform this multiplication. The algorithm is given in psuedocode but could easily be given in Pascal. (PK)

Activities for enhancing students' understanding and interpreting of graphical information is provided. Four worksheets and answers are given. (YP)

Presents various exercises and programs to demonstrate how low-resolution graphics (for Apple microcomputers) can be utilized in the mathematics classroom. (JN)

Discusses high resolution (hi-res) graphics programing on the Apple microcomputer, emphasizing its use in the mathematics classroom. Sample programs to plot dots and diagonals as well as programs for creating more complex visuals and patterns are included. (JN)

Presents an example of a proof to the mathematical problem of the sum of the cubes of the digits. Provides a Pascal program to search for these results. (MVL)

Describes a process of mathematical investigation involving generalized Fibonacci sequences. Provides the derivation using expressions, BASIC programs, and numerical verification. (YP)

Discusses a computer calculus game which follows the path of a parabola in stepwise progression. The educational value of the game is a simple example of nonlinearity, a subject which is just beginning to earn some attention in the mathematical community. The Applesoft program listing is included. (JN)

This is a collection of Pascal programs that were developed for a 1986 National Science Foundation-sponsored high school teachers' summer workshop. The programs can be used as a means of extending or enriching textbook material in either high school mathematics or Pascal courses. Some suggested uses are: (1) teacher demonstrations in mathematics…

Described is a solution to the problem and a discussion of a computer estimation of the probability. A computer program written in Turbo Pascal and two sample runs are provided. Computations for a more general problem of this nature and changes in the program necessary for use with Apple Pascal are appended. (CW)