Describes the application of expert systems to provide computer-assisted instruction support to students to facilitate their learning of both fundamental and advanced statistical concepts. Provides examples of both a modular system and an integrated system which utilize VP-Expert, an expert system development shell. (14 references) (Author)

Discussion of the use of computers in math instruction highlights two possibilities suggested in response to an earlier journal column: (1) a program written in BASIC for producing spirolaterals, and (2) the use of LOGO list processing to solve matrix problems for exploring geometric transformations. (LRW)

Described is a research-based instructional technique for teaching analogical reasoning by the use of guided LOGO programing activities. An example worksheet is provided illustrating the use of the Sternberg's four-step analogical reasoning technique (encode, infer, map, and apply) with LOGO programs. (Author/MDH)

Offers examples of loss of accuracy when using digital computing devices. Discusses causes for loss of accuracy and methods of preventing loss. Presents implications that loss of accuracy has for mathematics instruction. (MDH)

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)

Described are ways that specific concepts from abstract algebra can be programed using the software package features of the Ada Programming Language, which is the primary language of the Department of Defense. Included are typical programs with their respective outputs. (JJK)

Describes the approach taken and materials used for introducing computer symbolic mathematics to undergraduate calculus students. Explains the features of the muMATH software package and reviews the modifications that were made to the program. Includes an exercise on plotting graphs. (ML)

Describes the derivation of the parameters incorporated into computer programs that are utilized to draw hypocycloids, which are the loci of points traced out by a point on a disk as it rolls against a circle and its interior. Includes information to obtain copies of the programs described. (JJK)

Describes the processes involved in leading students from the basics of MaxMix courseware to the final investigation. Discusses a mathematical game, number and graphic tasks included in the package, along with invoking meaningful interaction and integration into classroom mathematics. (RT)

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)

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)

Focuses on the place of discrete mathematics in the grades 9-12 mathematics curriculum and discusses how the topic of recursion should be taught. Presents several examples of recursion involving LOGO, spreadsheets, sequences, Pascal's triangle, and the Tower of Hanoi to illustrate its teaching. (MDH)

Provides Terrapin LOGO programs that use graphic manipulatives--squares, logs, and units--to form the area of a rectangle as a graphical representation for any trinomial of the form: Axx + Bx + C. An important component is the connection of the procedural skill of trinomial factoring to the visualization of the accompanying rectangular displays.…

Presents two mathematical methods for fitting the logistic curve to population data supplied by the U.S. Census Bureau utilizing computer algebra software to carry out the computations and plot graphs. (JKK)

Described are materials developed to add to existing complex-number units and how they have been used in second-year algebra and precalculus classes. Discussed is software developed, objectives, and classroom materials. Two worksheets are included. A computer program is provided. (CW)