This book contains 22 papers that are designed to situate research and practice in adults learning mathematics within the wider field of lifelong learning and lifelong education. The following papers are included: "Introduction" (Diana Coben, Gail E. FitzSimons, John O'Donoghue); "Review of Research on Adults Learning…

The fourth volume of the proceedings of 21st annual meeting of the International Group for the Psychology of Mathematics Education contains the following papers: (1) "A Model for Discriminating amongst Student Teachers of Mathematics" (P. Perks); (2) "A Study of Teachers' Conceptions about Mathematics" (G.N. Philippou and C.…

The third volume of the proceedings of 21st annual meeting of the International Group for the Psychology of Mathematics Education contains the following papers: (1) "Graphics Calculators Use in Precalculus and Achievement in Calculus" (P. Gomez and F. Femandez); (2) "Tapping into Algebraic Variables through the Graphic…

Discusses a numerical technique called the method of adjoints, turning a linear two-point boundary value problem into an initial value problem. Described are steps for using the method in linear or nonlinear systems. Applies the technique to solve a simple pendulum problem. Lists 15 references. (YP)

This article presents problems to challenge students over and above the standard curriculum problems assigned at a Course I level. Every additional problem in the article can be solved using only the tools provided by Course I. (AIM)

Presents two papers commenting on previous published articles. Discusses formulas related to the determinants of sums and tests the formulas using some examples. Provides three special cases of the determinants of sums. (YP)

Discusses a method of cubic splines to determine a curve through a series of points and a second method for obtaining parametric equations for a smooth curve that passes through a sequence of points. Procedures for determining the curves and results of each of the methods are compared. (YP)

Lists some ways that sequences were incorporated into mathematics lessons and explains a teacher's observations about the caliber of thinking and questioning that students develop as they learn appropriate ways to use numbers. Provides a number of questions that have been raised by students and the thinking prompted by a discussion of those…

Addresses the difficulties students have in acquiring graphical problem-solving skills. Presents some techniques and concepts intended to help students overcome them. Contains 15 references. (Author/ASK)

Discusses solving inequality problems involving linear programing. Describes the usual and alternative approaches. Presents an intuitive approach for finding a feasible solution by maximizing the objective function. (YP)

Presents examples of line and curve graphs. Suggests some ways of using graphs to increase student learning. (YP)

Presented is an activity where students determine the multiplication tables of groups of small order. How this can be used to help develop an understanding of the concept of group isomorphism is explained. (KR)

Describes a hands-on, guided-learning activity that forges vertical connections among grade levels and relies on physical models in the investigation of algebraic concepts. This lesson helps students discover that a given value can have multiple representations. Includes a sample student activity log. (AIM)

Presented is a example that shows why a certain technical lemma is necessary for a valid proof of Galois Theory. The usual proof of Galois' Theory is included as well as one using the lemma. (KR)

The sign-chart method is often used to solve polynomial inequalities involving products or quotients. Presented are examples that extend this method to solve higher-degree polynomial, radical, exponential, logarithmic, absolute-value, and trigonometric inequalities and whose graphic representations lead to intuitive discussions of continuity. (MDH)