The authors construct a form of cognitive algebra to determine judgement processes. In this study performance was found to equal motivation times ability. (DE)

By translating inequalities into equations (e.g., x greater than 0 can be written x- absolute value of x = 0) and forming equations for unions and intersections of solution sets, students can develop equations for polygons. The method can be generalized to yield equations in three dimensions. (SD)

We show a new approach, based on the utilization of Mathematica, to solve gas permeation problems using membranes. We start with the design of a membrane unit for the separation of a multicomponent mixture. The built-in Mathematica function, FindRoot, allows one to solve seven simultaneous equations instead of using the iterative approach of…

Experience in using a user-friendly software, Mathcad, in the undergraduate chemical reaction engineering course is discussed. Example problems considered for illustration deal with simultaneous solution of linear algebraic equations (kinetic parameter estimation), nonlinear algebraic equations (equilibrium calculations for multiple reactions and…

In two experiments, Ss judged a stimulus person on three dimensions: Generosity, Gift Size, and Income. Judgments on each dimension were based on information about the remaining two dimensions presented in a 4 x 4 design. (Editor)

This article is the third in a series on the teaching of sets and some of the reasons for doing so. A discussion is presented of the use of set language in teaching concepts from logic, probability and algebra. (JP)

This course is intended for students who have a thorough knowledge of college preparatory mathematics including algebra, axiomatic geometry, trigonometry, and analytic geometry. It does not assume they have acquired a background of elementary functions. This teacher's guide contains background information, suggested instructional procedures, and…

This course is intended for students who have a thorough knowledge of college preparatory mathematics, including algebra, axiomatic geometry, trigonometry, and analytic geometry. This teacher's guide is for Part II of the course. It is designed to follow Part I of the text. The guide contains background information, suggested instructional…

The purpose of this project is to teach learning and understanding of mathematics at the ninth grade level through the use of science experiments. This part of the program contains significant amounts of material normally found in a beginning algebra class. The material should be found useful for classes in general mathematics as a preparation for…

A method of finding rational roots of polynomials by use of a "special theorem" provides increased efficiency and, therefore, motivation. (SD)

A game based on the group of permutations on four symbols is described. The game can be used in the study of many algebraic concepts. (SD)

While group theory is an important part of mathematics, it should not be taught before college. The problems which led to its historical development are too difficult for the schools, and the use of simple problems invites misconceptions. There are very few easily stated physical applications. (SD)