Documents the experiences of 25 first-year university students with regard to the kinds of tasks calculus instructors should design in order to engage students in mathematical practices that often require the use of a graphing calculator. (MM)

Examines the relation between the sequence of approximations to the square root of a number and the harmonic, geometric, and arithmetic means using the TI-85 graphing calculator. (MKR)

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…

Uses the visual and programming capabilities of the graphing calculator to discern both differences and similarities between two independent collections of sample data. (MKR)

The advent of powerful Computer Algebra Systems (CAS) continues to dramatically affect curricula, pedagogy, and epistemology in secondary and college algebra classrooms. However, epistemological and pedagogical research regarding the role and effectiveness of CAS in the learning of algebra lags behind. This paper investigates concerns regarding…

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)

Questions students raise about the meaning of zero to the zero power present an opportunity for mathematics teachers to involve students in active participation in exploring mathematical relationships. Calculators are the needed tool to make this exploration accessible to students. How they can be used is described. (MNS)

A procedure using calculators is described to test Ulam's conjecture that all positive integers converge to 1, if subject to certain iterated transformations. (MNS)

The concept of percentile is a fundamental part of every course in basic statistics. Many such courses are now taught to students and require them to have TI-82 or TI-83 calculators. The functions defined in these calculators enable students to easily find the percentiles of a discrete data set. (PVD)

Describes how the rich examples of geometric images provided by string art can be used to generate some of the mathematics studied by students. Considers string art, graphing calculators, and elementary algebra as appropriate tools for students to use in generating interesting topics of study in mathematics. (DDR)

Calls for the use of the zoom feature of graphing calculators to help students better understand the concept of derivatives. (MKR)

Indicates the importance of teaching discrete mathematics. Describes how the use of technology can enhance the teaching and learning of discrete mathematics. Explorations using Excel, Derive, and the TI-92 proved how preservice and inservice teachers experienced a new dimension in problem solving and discovery. (ASK)

Discusses the rationale behind the technique of rationalizing the denominator in algebra. Argues that the importance of this technique is greatly exaggerated and is usually unnecessary. Examines an appropriate application of rationalizing the denominator. (ASK)

Presents an activity to investigate physico-mathematical concepts and provide mathematics arguments that are very close to a proof with the advent and availability of powerful technology. Demonstrates without using calculus how the law of reflection for parabolas is derived from Fermat's principle of least time. (ASK)

Because fractal images are by nature very complex, it can be inspiring and instructive to create the code in the classroom and watch the fractal image evolve as the user slowly changes some important parameter or zooms in and out of the image. Uses programming language that permits the user to store and retrieve a graphics image as a disk file.…