This study explored how the challenges encountered during integral sign determination process change after various learning processes. In this comparative investigation which is based on qualitative data, the students in the CAS group were subjected to technology enhanced teaching whereas the students in the traditional group were subjected to the…

Although dynamic geometry software has been extensively used for teaching calculus concepts, few studies have documented how these dynamic tools may be used for teaching the rigorous foundations of the calculus. In this paper, we describe lesson sequences utilizing dynamic tools for teaching the epsilon-delta definition of the limit and the…

One sign of a good task is that it will work just as well with Year 7 as with Year 13. The author asks learners to use graph-drawing software to draw a picture with graphs. He uses his imagination to suggest what a particular curve might resemble and helps learners to adjust their drawings to achieve what they are trying to make. Sometimes, one…

Many popular mathematical software products including Maple, Mathematica, Derive, Mathcad, Matlab, and some of the TI calculators produce incorrect graphs because they use complex arithmetic instead of "real" arithmetic. This article expounds on this issue, provides possible remedies for instructors to share with their students, and demonstrates…

The use of computer graphics in an introductory statistics course is described. The advantages over more traditional diagrammatic representations are discussed and an outline is given of two computer-supported graphic display systems. A description is also provided of an experiment, designed to evaluate the influence of such graphic aids. (JP)

A course that incorporates a computer program as a tool to take a more detailed look at differential equations is described. (MP)

During the first 12 weeks of an applied calculus course, two classes of college students studied calculus concepts using graphical and symbol-manipulation computer programs to perform routine manipulations. Three weeks were spent on skill development. Students showed better understanding of concepts and performed almost as well on routine skills.…

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)

Presents a method of viewing the reflective properties of the parabola and ellipse. Reinforces previously studied concepts of mathematics useful for individual or classroom projects. (PK)

Describes the development of an Interactive Teaching and Learning Environment for Graph Sketching (ITALEGS) of polynomial graphs at the college level. Highlights include hypermedia examples, the design of questionnaires for evaluation, and enhancing effectiveness by incorporating pedagogical content knowledge in computer-assisted instruction.…

Reviews for three software packages are given. These include "Equation Math," consisting of three programs for exploring graphs of the equations; "Recycling Logic," instructing students in the basics of reasoning; and "Turboplot-3D," intended for university-level mathematics, physics, engineering, and computer courses. (PK)

Reviews for three software packages are given. Those packages are: 20/20 Statistics, Graphing Equations, and COMPUCALC. The first package is a set of programs for use in introductory statistics, the second contains four programs for studying the graphing of equations, and the third contains examples and techniques from calculus. (PK)

Argues that while microcomputer and graphing calculators have evolved to a stage where they should be used routinely by mathematics students at all levels, there is sometimes potential to mislead students with computer generated graphs. Examples are included. (PK)

Various ways in which computers can be used in the classroom depending on the subject, students' background, and individual teaching style are discussed. A way to evaluate professional software packages for use in the classroom is included. (KR)

Described is software which allows a student to use simulation to produce analytical output as well as graphical results. The results include a frequency histogram of a selected population distribution, a frequency histogram of the distribution of the sample means, and test the normality distributions of the sample means. (KR)