An introductory guide to deducing the mechanism of chemical reactions is presented. Following a typical workflow for probing reaction mechanism, the guide introduces a wide range of kinetic and mechanistic tools. In addition to serving as a broad introduction to mechanistic analysis for students and researchers, the guide has also been used by…

The Reduced Reparameterized Unified Model (Reduced RUM) is a diagnostic classification model for educational assessment that has received considerable attention among psychometricians. However, the computational options for researchers and practitioners who wish to use the Reduced RUM in their work, but do not feel comfortable writing their own…

Describes features of a macroeconomics model that runs on a microcomputer and its solution, sometimes called a simulation. Specific uses of the model in the teaching of introductory and intermediate/advanced levels of macroeconomics are discussed, as well as use by economic planners in running alternative forecasts. (MBR)

This paper takes G.K. Chesterton's short story, "The Three Horsemen of Apocalypse," as a motivating introduction to the study of linear equations systems, as well as a review of the concept of linear function. The guide has three objectives: (1) to illustrate how to use non-mathematical sources to create math problems; (2) to use the graphing…

This article describes a strategy for using Braille Lite, a portable notetaking device that combines synthetic speech and Braille, to produce mathematical expressions that can be easily interpreted by sighted teachers who do not use Braille. The strategy also allows students to review their work tactilely on the Braille display. (Contains 2…

This instructional module discusses the one-, two-, and three-parameter logistic item response theory (IRT) models. Mathematical formulas are given for each model and they are compared, with figures illustrating the effects of changing parameters. A single data set is used to demonstrate the effects of changing parameter values. (SLD)

Discusses using a computer spreadsheet's graphing capabilities to assist grade 8-12 algebra students to see equations and their solutions in new ways. Describes and illustrates the solution of two equations and an inequality using ClarisWorks, or Microsoft Excel or Works spreadsheet. Discusses "Curriculum and Evaluation Standards for School…

Presents a methodology designed to strengthen the cognitive effects of using graphing calculators to solve polynomial equations using pattern matching, searching, and heuristics. Discusses pattern matching as a problem-solving strategy useful in the physical, social, political, and economic worlds of today's students. (DDR)

This article provides the equations necessary to derive a single composite score based on two achievement scores measuring the same discrepancy area in students with learning disabilities. Also provided are the equations necessary to determine the composite score's reliability and its correlation with an IQ score. (CR)

Proposed is a flow-chart and related formulas to obtain expressions for the derivatives of the old thermodynamic function in terms of new variables, the new function and its derivatives, and derivatives of the old function, involving only measurable quantities. (CW)

This document presents Core Course Proficiencies for the State of New Jersey whose purpose is to ensure that all students have equal access to the fundamental knowledge and skills critical to achieving success in mathematics. After an introduction providing rationale and background, the Core Course Proficiencies are presented in three sections.…

This document gives instructions on how to use a Macintosh computer to create printed materials for mathematics. A Macintosh computer, Microsoft Word, and objected-oriented (Draw-type) art program, and a function-graphing program are capable of producing high quality printed instructional materials for mathematics. Word 5.1 has an equation editor…