Robust and fast methods for chemical or multiphase equilibrium calculation are routinely needed by chemical-process engineers working on sizing or simulation aspects. Yet, while industrial applications essentially require calculation tools capable of discriminating between stable and nonstable states and converging to nontrivial solutions,…

In the field of teaching, one of the interesting subjects is the research of the fact which didactic methods are good for learning the current curriculum for the students who show a wide range of age, interest, chosen courses, previous studies and motivation. This article introduces the facilities that support the learning process: the…

Mathematical knowledge can be categorized in different ways. One commonly used way is to distinguish between procedural mathematical knowledge and conceptual mathematical knowledge. Procedural knowledge of mathematics refers to formal language, symbols, algorithms, and rules. Conceptual knowledge is essential for meaningful understanding of…

Describes mathematical problems which occur when using the computer as a calculator. Considers errors in BASIC calculation and the order of mathematical operations. Identifies errors in spreadsheet and calculator programs. Comments on sorting programs and provides a source for Mathemagical Black Holes. (MVL)

Provides a listing of a software graphics program that investigates the law of reflection and Snell's law of refraction. Written in BASIC for the Apple II personal computer. (MVL)

Discusses the use of the symbolic manipulator which helps students solve equations one step at a time. Recommends features to look for in algebra tools. Compares 14 programs on general, graphic, numeric, and symbolic manipulation and provides short reviews of each. (MVL)

Explains graphing functions when using LOTUS 1-2-3. Provides examples and explains keystroke entries needed to make the graphs. Notes up to six functions can be displayed on the same set of axes. (MVL)

Discusses dimensionality in Euclidean geometry. Presents methods to produce fractals using LOGO. Uses the idea of self-similarity. Included are program listings and suggested extension activities. (MVL)

Considers activities that use LOGO to slide, turn, and flip the "turtle." Uses non-LOGO tools such as cutouts, pattern blocks, and tangrams to enhance the motion work. Provides examples and programs with explanations. (MVL)

Notes the computer has progressed from being a fast calculating machine to becoming an important tool for the whole academic spectrum. Discusses the development of new courses being offered to develop skills and knowledge in computational physics. (Author/MVL)

Presents a program for the Apple II computer that teachers can use for exam questions and homework assignments. Prints out all cubic polynomials whose roots, maximum and minimum points, and points of inflection are all integers. (MVL)

Considers the development of a computer program for interactive, screen-oriented problem solving. Provides theoretical background and program development to determine internal energy, heat capacity, and entropy. Lists the program written in BASIC for Apple II computers. (MVL)

Notes two uses of computer spreadsheets in the chemistry classroom. Discusses the general use of the spreadsheet to easily provide changing parameters of equations and then replotting the results on the screen. Presents a molecular orbital spreadsheet calculation of the LCAO-MO approach. Supplies representative printouts and graphs. (MVL)

Presents five computer programs: (1) Accurate Numerical Solutions of the One-Dimensional Schrodinger Equation; (2) NMR Simulation and Interactive Drill/Interpretation; (3) A Simple Computer Program for the Calculation of 13C-NMR Chemical Shifts; (4) Constants of 1:1 Complexes from NMR or Spectrophotometric Measurements; and (5) Saturation…

This document describes a mathematics course that uses the computer to solve mathematics problems. It was developed to be used with students who have completed at least one year of general mathematics or are not achieving success in the traditional mathematics program. The course is intended to review, reinforce, and extend concepts included in…