This paper describes a gateway testing program designed to ensure that students acquire basic skills in freshman calculus. Students must demonstrate they have mastered standards for "Absolutely Basic Competency"--the Calculus ABCs--in order to pass the course with a grade of C or better. We describe the background, standards, and testing program.…

The paper's aim is to note a remarkable (and apparently unknown) relation for right triangles, its generalisation to arbitrary triangles and the possibility to derive these and some related relations by elimination using Groebner basis computations with a modern computer algebra system. (Contains 9 figures.)

A mathematician's work consists of proving theorems, calculating, and making mathematics understandable. An assistant for all three components is a Computer Algebra System. We describe and discuss various CAS-assisted processes for proving theorems, and discuss the constraints which can appear regarding efficiency, confidence in the result and…

We present a project for a differential equations class: an analysis of an H. G. Wells story in which is given a submersible's descent time, its ascent time, and its eruption from the surface before splashdown. (Contains 5 figures.)

The note discusses ways in which technology can be used in the calculus learning process. In particular, five MATLAB programs are detailed for use by instructors or students that demonstrate important concepts in introductory calculus: Newton's method, differentiation and integration. Two of the programs are animated. The programs and the…

A sequence of number pairs can be used to generate many interesting examples in teaching mathematics subjects at various levels. It is often used in elementary or middle school mathematics classes to illustrate the concept of "patterns." In this paper the authors present a few interesting ways of using this sequence to form examples for high…

In the Fall 2001 semester, we taught a "Web-enhanced" version of the undergraduate course "Statistical Methods" ("STAT 2000") at Utah State University. The course used the electronic textbook CyberStats in addition to "face-to-face" teaching. This paper gives insight in our experiences in teaching this…

After a brief review of the literature and definition of educational technology, this paper describes the process of mathematics instruction at the Open University of Sri Lanka (OUSL). It is noted that the unique situation at OUSL and the abstract nature of mathematics make it necessary to modify the system of distance education because it is…

This document consists of the two numbers of "The AMATYC Review" issued during publication year 1991-1992. The following articles are featured: (1) "Educational Reflections" (D. A. Crocker); (2) "Mathematics: An International View" (I. Malyshev, J. R. Becker, editors); (3) "Pandora's Rectangular Parallelepiped" (L. R. Tanner, editor); (4) "The…

Experiences in teaching a course in developmental mathematics to Indochinese students who were uncertified bilingual teachers employed by the Minneapolis Public Schools are described. The students received training in basic mathematics while being exposed to a college-level course taught in English. Results of a placement test are noted, as well…

The University of California at Berkeley has developed a Mathematics Workshop the purpose of which is to improve serious deficiencies in minority students' mathematics and study skills. Now in its second year, the workshop has five functions: (1) building a community of minority freshmen that is academically-oriented and a source of peer support;…

This paper presents an application of integration to the field of hydraulics. An integral relation for the time required to drop the fluid contained in a cylindrical tank from one level to another using a hole in the tank wall is derived. Procedures for constructing the experimental equipment and procedures for determining the coefficient of…

The advent of calculators for graphing and function plotters is changing the way college algebra and calculus are taught. This paper illustrates how the machines are used for teaching the following: (1) domain and range; (2) product and quotient inequalities; and (3) the solving of equations. Instructional hints are provided for each topic with…

This paper discusses the problems and general solutions of statistics teaching by summarizing some strategies that have been effective with part-time students in off-campus settings. Included are discussions on: (1) applications of computer skills and student projects; (2) teaching statistical thinking using various modes of presentations and…

Presents three traditional problems from discrete mathematics with alternative solutions and discussion of those solutions. (PK)