Graphing function is an important issue in mathematics education due to its use in various areas of mathematics and its potential roles for students to enhance learning mathematics. The use of some graphing software assists students' learning during graphing functions. However, the display of graphs of functions that students sketched by hand may…

Graphing polar curves typically involves a combination of three traditional techniques, all of which can be time-consuming and tedious. However, an alternative method--graphing the polar function on a rectangular plane--simplifies graphing, increases student understanding of the polar coordinate system, and reinforces graphing techniques learned…

The paper uses digital fabrication as a learning environment to demonstrate the importance of conceptual understanding of one-variable inequalities. These inequalities are hidden within two-variable inequalities used to construct geometric shapes the borders of which are the graphs of basic functions from the secondary mathematics curriculum. As…

A common activity--having students collect data to measure the radius and circumference of circular objects--can be given a new twist. These data can be viewed virtually using technology. A dynamic geometry environment coupled with the powerful capabilities of a spreadsheet can greatly enhance student learning. The activity in this article…

The author and his first-year algebra students explored the quadratic behavior behind the parabolic shape of fountains at the local family splash park. This hands-on discovery project has three main parts: (1) gathering data by experimenting with and photographing the fountains; (2) analyzing the photographs to obtain numerical data; and (3)…

This article offers an engaging application that adds meaning to the binomial theorem. (Contains 8 figures.)

This paper was developed with the goal of enhancing the mathematical preparation of secondary school teachers in the technological paradigm. It shows how two-variable inequalities can be utilized as models for the construction of geometric objects using the software Graphing Calculator 3.5 (produced by Pacific Tech) as a relation grapher. An…

This article offers an introductory activity for the limit concept with a geometrical and historical foundation. A connection among Geometry, Measurement and Calculus is highlighted with the help of technology. The geometrical drawing, measurement and graphing capabilities of both TI-89 and Geometer's Sketchpad make it possible for students to…

This article describes a hands-on activity that explore weaving patterns of the Tellem people. It includes a graphing calculator program that simulates the weaving pattern.

Although the nature of the research varies, as do concepts of angle, research in general supports the supposition that angle is a complex idea, best understood from a variety of perspectives. In fact, the concept of angle tends to be threefold, consisting of: (1) the traditional, static notion of two rays meeting at a common vertex; (2) the idea…

This study investigated the effects of using the TI-92+ calculator to demonstrate geometric diagrams to students in class. The participants (N=83) were from three 10th grade classes. A pretest, treatment, posttest with control group design was used in the study. The treatments lasted for 12 weeks. Results from data analyses via the Dependent…

Describes a calculator program that graphs and indicates the main features of the conic whose second-degree equation includes a nonzero xy-term. The program indicates coefficients of conic in a rotated coordinate system, type of conic, angle of rotation, coordinates of vertices of conic in the original coordinate system, and a graph of conic…

Provides a lesson plan for solving a standard optimization problem using the TI-92 calculator. Screenshots from the calculator are included. (MM)

Presents an activity that uses graphing calculators to duplicate the curves generated by a Spirograph, a design-generating drawing toy. (ASK)

Graphic tips for using the Geometer's Sketchpad (GSP) are described. The methods to import an image into GSP, define a coordinate system, plot points and curve fit the function using a graphical calculator are demonstrated where the graphic features of GSP allow teachers to expand the use of the technology application beyond the classroom.