A Mandelbrot mathematical set is an object with endless borders, and in the present exercise a graphing calculator is used to identify and examine the set points. The significance and power of technology is also displayed in the understanding and solving of problems.

A demonstration, which shows that the graphing calculation can greatly supplement the computer and often eliminates the need for computers and science, is given. The graphic calculator is a handheld computer, more powerful than most sophisticated computer of 25 years ago.

When technologies are used in mathematics education it is important to assess how activities will support the development of mathematical understanding and the technical expertise that students will need. The two issues are discussed in this paper. Literature is reviewed and findings from a recent study in a high-school class are reported. The…

The purpose of this study was to determine if the use of a graphical teaching and learning approach via the graphing calculator enhances students' understanding of the formal definition of limit. College students in six sections of Calculus I participated by completing a test prior to the introduction of the definition, and completing a second…

Technologies play a prominent role in current reforms of school and collegiate mathematics. This study examined ways in which first-semester calculus students still showed the influence of a graphing-intensive college algebra course they had studied one or two semesters earlier. Students (n=18) at a large research university were asked to solve a…

Analysis of the constraints and potential of the artefact are necessary in order to point out the mathematical knowledge involved in using calculators. Analyzes and categorizes observations of students using graphic and symbolic calculators into profiles, illustrating the transformation of the calculator into an efficient mathematical instrument.…

Argues that the calculator is fallible as a repository of mathematical knowledge. Suggests that the calculator should be considered not only a labor-saving device but a learning device. Provides examples of the use of calculators as a learning device. Contains 16 references. (ASK)

The graphing calculator affords the student in analysis a powerful tool to extend visualization, which was previously limited to textbook illustrations and time-consuming constructions. Provides illustrative examples used in initial classroom presentations of several topics including convergence and in student explorations of these topics. (ASK)

Presents three geometric problems from a workshop for in-service algebra teachers to help them make connections between the mathematical concepts that they know and the drawings that they were required to display on their graphing calculators. (ASK)

Draws on data from a three-year longitudinal study of secondary school classrooms to examine pedagogical issues in using technology resources in mathematics teaching, graphing calculators and overhead projection panels in particular. Theorizes four roles for technology in relation to teaching and learning interactions. Illustrates how technology…

Discusses the benefits of new technologies, especially graphing calculators, in the teaching and learning of mathematics. Presents two activities for teaching algebra and regression using graphing calculators. (ASK)

Describes the five-year evolution of a multi-sectioned precalculus course for business and health professions majors at the University of Hartford. Concludes that students have benefited from the revised course that uses the graphing calculator, calculator-based laboratory (CBL), and group work. (ASK)

In a classroom environment in which continual access to graphing calculators is assumed, items that have been used to assess students' understanding of functions often are no longer appropriate. Describes strategies for modifying such items including requiring students to explain their reasoning, using calculator-active items, analyzing graphs and…

Suggests a model for the learning and reinforcing of algebraic manipulative skills through the intensive use of group work using computer algebra systems (CAS). Suggests a model for assessing students through group work, for using the TI-92 as a self-assessment tool, and in cross-curricular activities. (Author/ASK)

Explores the broader potential of hand held technology. Presents web resources with descriptions of new technologies and applications that include graphing calculators and classroom communication systems. (MM)