Two approaches to the teaching of logarithms are described. One is essentially algebraic while the other involves integration. (SD)

The use of machinery to compute numbers approaching a limit is discussed. A convergence theorem and several examples are provided. (SD)

The purpose of this study was to determine if different teaching approaches produced differences in learning the limit and the derivative concepts in beginning calculus as measured by a common criterion test. An ordered combination of two teaching approaches--the concrete inductive and the abstract deductive--was used for the two sequential topics…

This problem solving strategy is illustrated by examples from the fields of algebra, trigonometry, geometry, and calculus. (MP)

Examples are provided of a method of successive approximations suitable for use in a freshman level chemistry course. (CP)

This paper reports on research conducted to understand undergraduate students' ways of reasoning about systems of differential equations (SDEs). As part of a semester long classroom teaching experiment in a first course in differential equations, we conducted task-based interviews with six students after their study of first order differential…

This paper investigates the effects of a computer algebra system (DERIVE) on students' comprehension and computational skills in Brief Calculus, a first course for non-mathematics majors. Research results indicate better conceptual understanding by the group using DERIVE without the loss of pen-and-paper computational ability. (KHR)

A conception of discussing mathematical material in the domain of calculus is outlined. Applications include that university students work at their knowledge and prepare for their oral examinations by utilizing the dialog system. The conception is based upon three pillars. One central pillar is a knowledge base containing the collections of…

Analyzes Likert attitude questionnaires given to 28 engineering students during their first semester at a Venezuelan university. Investigates the evolution of students' attitudes when in laboratory sessions using the DERIVE Computer Algebra System (CAS). Suggests that use of DERIVE symbolic calculus software has a positive influence on attitudes…

Four of the author's favorite calculus word problems are presented. These aid students in recognizing and applying concepts in contexts unlike those in typical textbook problems. (MNS)

Presents a qualitative and global method of graphing functions that involves transformations of the graph of a known function in the cartesian coordinate system referred to as graphic operators. Explains how the method has been taught to students and some comments about the results obtained. (MDH)

Describes how the computer algebra system Mathematica can be used to enhance the teaching of the topics of sequences and series. Examines its capabilities to find exact, approximate, and graphically generated approximate solutions to problems from these topics and to understand proofs about sequences. (MDH)

A model of the inelastic collision between two spheres rolling along a horizontal track is presented, taking into account the effects of frictional forces at impact. This experiment makes possible direct estimates of the coefficients of restitution and friction. (Author)