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…

In an attempt to explore the prevalence, intensity and effects of mathematics anxiety at Salisbury State College (Maryland) approximately 350 student volunteers from two diverse introductory mathematics courses participated in this survey. The Fennema-Sherman Mathematics Anxiety and Confidence Scales and a portion of the Test Anxiety Profile were…

Described is the mathematics achievement of 391 elementary education majors at the University of Arizona. Students were administered two subtests of the California Achievement Test: the Mathematics Computation Subtest and the Mathematics Concepts and Application Subtest. The CAT was administered in a non-standard manner. Students were allowed…

Describes a Hebrew University program for academically disadvantaged students, focusing on a workshop component which emphasizes learning skills and study strategies. An evaluation of the workshop indicates that it leads to improved achievement in several academic fields (including the natural sciences). (DH)

A model for teaching proof writing to college mathematics students is presented. The model has six phases: (1) open (understanding the theorem by reading it, listing, and writing it out); (2) brainstorm; (3) instantiate (perception of the chain of inferences linking hypothesis to conclusion); (4) convince; (5) reflect; and (6) extend. Strategies…

Presented is a mean-value theorem that generalizes the Taylor-Lagrange formula. Discussed is the asymptotic behavior of the remainder term of the formula. Several numerical schemes are derived to approximate the solution to initial-valued first order differential equations. (KR)

Discussed are various models proposed for the Moebius strip. Included are a discussion of a smooth flat model and two smooth flat algebraic models, some results concerning the shortest Moebius strip, the Moebius strip of least elastic energy, and some observations on real-world Moebius strips. (KR)

Appropriate uses for graphics calculators in precalculus and calculus are discussed. The functions of Casio, Sharp, and Hewlett-Packard brand calculators are stressed. A "Stress Test" for graphics calculators designed to illustrate common errors and to furnish examples of tasks which cannot be completed on these instruments is provided.…

The results of a simulation model of a queuing system are reported. Use in an introductory quantitative analysis course to enhance students' computer and quantitative modeling knowledge is described. (CW)

Describes guidelines for written homework used in a mathematics course designed to develop skills in understanding and communicating mathematics. Illustrates some examples of common homework errors. (YP)

Explains a new way of viewing Bayes' formula. Discusses the revision factor and its interpretation. (YP)

Describes a program to help students succeed in developmental mathematics courses, such as arithmetic, elementary algebra, and intermediate algebra. Provides information on program evaluation and how the program is funded. (YP)

Compares the performance in college algebra for four testing strategy classes: a homework class; a quiz class; a test class; and the control class. Adjusted mean scores in performance and adjusted final attitude were not different among the four strategy groups. The test class had a higher attrition rate than the homework class. (YP)

Teaching the concept of integration differs depending on which of four perspectives is used to introduce the topic. Presents a method based on the historical development of the use of integration that introduces integral as antiderivative. Discusses examples of differential equations used in the development and ways to connect this to the other…