An investigation of freshmen achievement in an introductory calculus course was performed on the basis of high school mathematics background to find predictors of college calculus grades. Overall high school academic achievement, overall high school mathematics achievement, number of high school mathematics units, pattern of college preparatory…

This pamphlet lists five thousand current, readily available audiovisual materials in mathematics. These are grouped under eighteen subject areas: Advanced Calculus, Algebra, Arithmetic, Business, Calculus, Charts, Computers, Geometry, Limits, Logarithms, Logic, Number Theory, Probability, Soild Geometry, Slide Rule, Statistics, Topology, and…

This document consists of test questions used in three state high schools teaching the new Matriculation pure mathematics course (approximately grade 12). This material was circulated to all schools teaching this course as a teacher resource. The questions are arranged in 14 papers of varying structure and length. Most questions are of the essay…

The purpose of this article is to point out some of the problems that arise in the use of calculators to illustrate derivatives, due to rounding or truncation, by the calculator. Several illustrations of numerical differentiation techniques are also given. (Author/MP)

This paper is a report on experimental courses in calculus and linear algebra which have been given for the past three years at Swarthmore College. Computing is used to represent the ideas and concepts of calculus and linear algebra and to facilitate their analysis and exploration. APL is used as the notation. (MN)

Infinite geometric series are related to the time-motion paradox involving a football team advancing halfway to a goal line on each successive play. (MN)

Elementary differential calculus is used to analyze and to discuss some complex economic situations. (JT)

A theorem with proof is given for L'Hopital's Rule for the indeterminate form "infinity divided by infinity." The theorem takes advantage of the fact that this form is first encountered after the "zero divided by zero" case has been proved. (MN)

An application of the formula for finding the sum of an infinite geometric series is described through the use of Pierre Fermat's method for finding the area under a curve. (JT)

The author presents a method of teaching the concept of limit. (SD)

Calculus must be made more relevant and understandable to students if the nation is to maintain a strong scientific and technological enterprise. A national effort should be launched to bring calculus education into the computer age by developing curricula incorporating calculators and other innovative tools. (MLW)

Mathematical observations are made about some continuous curves, called transitions, encountered in well-known experiences. The transition parabola, the transition spiral, and the sidestep maneuver are presented. (MNS)

Use of the computer program "Integrate Using Definition" can help students develop understanding of integral. Several applications of the program are discussed. (MNS)

A problem that most high school calculus students can explore is presented. It can help students understand such mathematical topics as functional notation, composition of functions, the solving of systems of equations, and the derivative. A computer program is included. (MNS)

Provides examples in which graphs are used in the statements of problems or in their solutions as a means of testing understanding of mathematical concepts. Examples (appropriate for a beginning course in calculus and analytic geometry) include slopes of lines and curves, quadratic formula, properties of the definite integral, and others. (JN)