Discusses the application of probabilistic ideas, especially Monte Carlo simulation, to calculus. Describes some applications using the Monte Carlo method: Riemann sums; maximizing and minimizing a function; mean value theorems; and testing conjectures. (YP)

Illustrates three examples usually delayed until sufficient terminology, concepts, and methods have been developed unless using calculators or computers. The three examples are on exponential growth, triangle construction, and end behavior of certain function. Discusses the advantages of technology-enhanced mathematics teaching. (YP)

Describes how to develop students' communication skills, regular study habits, basic mathematics skills, and a talent for logical thinking in a calculus class. Eight references are listed. (YP)

Solves the problem of defining a smooth piecewise linear approximation to a given function. Discusses some alternative approaches to the problem. (YP)

Tips are given on how and when to use videotaped lessons to provide for continued classroom productivity in spite of anticipated, or even unexpected, absence of the mathematics teacher. In an accompanying article, a graphical approach to determine whether a limit exists is explored with numerous examples and illustrations. (JJK)

With reference to a self-paced calculus course, the following aspects are reviewed: the structure and the mechanisms, the grading and credit arrangements, the essentials of proper record keeping, the restrictions and prerequisites for enrollment, the cost and the effectiveness, and the potential for application to other mathematics courses. (JJK)

Describes the CALM (Computer Aided Learning in Mathematics) Project developed at the Heriot-Watt University (Scotland) for teaching calculus; reports on the next phase of CALM following further funding from British industry; and discusses future possibilities through the work of the United Kingdom Mathematics Courseware Consortium. (Contains eight…

Discusses the use of computer graphics to introduce the concepts of derivative and tangent line using the iteration of functions, especially linear functions. (MKR)

Described are materials developed to add to existing complex-number units and how they have been used in second-year algebra and precalculus classes. Discussed is software developed, objectives, and classroom materials. Two worksheets are included. A computer program is provided. (CW)

The purpose of this paper is to show, by computer examples, that very different results can be obtained by rearranging selected conditionally convergent series. Computer programs allow the students to select the real number to which they wish the rearrangement to converge. Two computer programs are appended. (KR)

Explored are the distributions of residual components in two model systems. A system of components with exponentially distributed lifetimes and the two-dimensional "leaf model" in which objects fall on a plane with positions independent and normally distributed are discussed. Included are the definition, application, computations, and theorem. (KR)

Developed is a working definition of the concept of preformal proof through the analyses of an action proof, a geometric-intuitive proof, and a reality-oriented proof of a differential equation. Instructional problems for teachers and learners in connection with preformal proofs are pointed out. (MDH)

A University of Redlands (California) calculus course was redesigned to include computer demonstrations and homework assignments in which the computer could play an important role. Comparison of results of this instruction with that using traditional methods suggest the approach using computers has merit. (MSE)

Describes a study conducted to assess the effects of teaching a structured notetaking procedure to Calculus I students. Reports higher success rates among students who learned the technique than students taking the course the previous term, and increasingly positive attitudes toward the procedure over the course of the term. (DMM)

Described is an instructional method that makes use of an electronic spreadsheet for the numerical and graphical introduction of the fundamentals of Taylor polynomials. Included is a demonstration spreadsheet using the expansion polynomial to evaluate the cosine function. (JJK)