This study explored the development of student's conceptual understandings of limit and derivative when utilizing specifically designed computational tools. Fourteen students from a secondary Advanced Placement Calculus AB course learned and explored the limit and derivative concepts from differential calculus using visualization tools in the…

This paper shows the basic concept of Functional Modelling in mathematics education which has become more and more important in recent years. Hence it is necessary to think about suitable graphical methods to explain the fundamental idea of a function and its influence on values and other functions. PROGRAPH diagrams are a potentially good way to…

This article examines three important facets of the incorporation of new technologies into educational practice, focusing on emergent usages of the mathematical tools of computer algebra and dynamic geometry. First, it illustrates the interpretative flexibility of these tools, highlighting important differences in ways of conceptualizing and…

Four experiments involving 180 undergraduates evaluated the effectiveness of computer graphics in improving estimates for algebra word problems. Variations in the simulation resulted in successful and unsuccessful programs as measured by the frequency with which students improved their estimates. Quality of feedback to students while learning is…

This paper outlines the development of an activity that uses the computer's unique capabilities to provide students with a meaningful and highly motivating experience with the graphing of equations. The basic design of the game calls for the computer to display a coordinate grid on which it graphs any equations that are typed in by the student.…

Describes the development of an interactive teaching and learning model involving Desktop Videoconferencing (DVC) and other audiographic facilities for undergraduate mathematics. The experiment demonstrated that it was possible to integrate DVC with computer applications/graphics software to represent algebraic, geometric, and numeric concepts.…

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)

It is argued that microcomputer technology has evolved to the stage that it should be routinely used by mathematics students at all levels. It is shown how the use of microcomputers can change the way problems are solved. Computer-generated graphics are highlighted. (PK)

Discusses the use of function graphers for teaching some mathematical concepts, including roots of a function; system of equations; inequality; relative extreme of function; trigonometric identities; limit of function; and convergent/divergent of sequence. (YP)

In this article we describe a mathematical microworld for investigating car motion on a racing course and its use with a group of grade 12 students. The microworld is concerned with the mathematical construction of courses and functions which describe car motion. It is implemented in the computer algebra system, Maple[R], which provides the means…

Reviews for three software packages are given. Those packages are: Linear Algebra Computer Companion; Probability and Statistics Demonstrations and Tutorials; and Math Utilities: CURVES, SURFS, AND DIFFS. (PK)

Utilizes LOGO to teach the concept of inequalities by programing the turtle to take random walks in the coordinate plane restricted to predetermined regions defined by inequalities. The students task is to discover the inequalities that define the illegal areas into which the turtle must not move. Provides examples and corresponding computer…

Describes and illustrates the Monomial Sums Approach, a graphical learning strategy, facilitated by microcomputer capabilities that allow easy manipulation and exploration of graphical representations of polynomial functions. Reduces emphasis on memorized rules in favor of qualitative understanding of functional behavior, visualization of…

Presents reviews of five computer packages: (1) "Algebra Attack" contains games and tests; (2) "Bootstrap Stats" requires learners to write programs while studying probability and statistics; (3) "Geometry and Microcomputers" contains 13 lessons on mathematics and graphics; (4) "Math Grapher" is an algebraic…

This report examines mathematical graphing utilities or function plotters for use in introductory algebra classes of more advanced courses. Each product selected for inclusion in this report is able to construct the graph of a given equation on the screen and serves as a utility which may be used by the student for an open-ended exploration of a…