Describes the guess-and-check method and discusses the advantages of using computers to apply the methods to solve mathematics problems. Provides two examples that use BASIC programs to illustrate the method. (MDH)

Reviews the various ways in which LOGO has been used by teachers both correctly and inappropriately. Discusses the status of and future direction of LOGO in classroom instruction. Provides a summary of the third annual LOGO Conference. (ML)

Uses muMATH to illustrate the step-by-step process in translating mathematical theory into the symbolic manipulation setting. Shows an application of a Picard iteration which uses a computer to generate a sequence of functions which converge to a solution. (MVL)

Illustrates how muMATH can be used for manipulating abstract differentiation rules, optimization, implicit differentiation, related rules, and verifying the chain rule. (MVL)

Lists a BASIC program which computes the equilibrium constant as a function of temperature. Suggests use by undergraduates taking a one-year calculus-based physical chemistry course. Notes the program provides for up to four species, typically two reactants and two products. (MVL)

Discusses a conference organized by The Association for the Development of Computer-Based Instructional Systems titled "Children, Computers and Education" held in the Soviet Union. Describes the use of computers and the computer labs in Soviet schools visited by the conferees. Notes many schools still lack computers. (MVL)

Describes two computer programs used to aid in data analysis: (1) Develops a method for the propagation of error involving the direct calculation of the error in the dependent variable using a spreadsheet; (2) Examines a simple numerical method for solving complex equilibria. Lists a FORTRAN 77 program. (MVL)

The computer can provide students with opportunities for creativity, if good software is selected and students are provided instruction in its use. Software that promotes creativity includes word processing programs, programs that permit students to write and use their own personal programs, and programs that teach and encourage thinking skills.…

Discusses four applications of the microcomputer to the classroom: (1) a program listing of how to draw circles on the Apple II computers; (2) using a database to help write stories; (3) switching computers with others while writing stories to encourage creativity; and (4) a listing of a LOGO kaleidoscope program. (MVL)

Examines the use of the computer to approximate the value of the definite integral normally calculated by mathematical means. Presents four examples using BASIC programs to approximate single and double integrals by numerical integration and the Monte Carlo method. Programs are provided. (MDH)

Describes examples of student-centered activities for exploring mathematical induction using BASIC programs or spreadsheets. Discusses the advantages of using this medium to teach the concept and provides computer programs for the activities. (MDH)

Describes a project designed to explore possible ways to exploit the use of home-owned computers. Project efforts produced a collection of 72 worksheets containing a short program that students use interactively to complete the worksheet at home. A trial period describes the method of use, response of the students, and the response of the…

Presents examples of didactic computer software developed in a college of engineering, along with a discussion of pedagogical and systems considerations. Discusses the use of the computer in relation to Bloom's Taxonomy. Describes the system approach, which is used to sequentially develop valid and relevant software. (TW)

Provides a program listing in True BASIC which constructs several kinds of matrices: (1) matrices with integral entries that have inverses that have integral entries; (2) matrices with integral entries that have inverses that are rational numbers with reasonable denominators; and (3) matrices with integral entries and prescribed integer…

A FORTRAN program is provided for use with computer projects for a course in number theory. Uses diminishing functions and the speed of the computer to quickly determine possible solutions to problems. (MVL)