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)

Discusses the properties of the equation y"+ay=0, a basic equation in differential equations classes which is well known to have periodic solutions. Explores similar but more complicated equations using a graphing calculator to ask questions about the nature of the solutions and to generate conjectures from examples. Lists some equations and…

Presents examples to illustrate that iteration and recursion are useful pedagogical tools that can be used in many areas of mathematics, make models traditionally taught in upper levels accessible in grades 9-14, and provide alternative problem solving approaches less dependent upon ready-made formulas. (Author/MM)

Steiner's Porism states that if you can draw a connected ring of circles in the annular region between two original circles, the ring will be successfully completed no matter where you start. This paper explores how the TI-92 graphing calculator can be used to demonstrate Steiner's Porism and illustrate the main points of its proof. Inversion in…

Describes the implementation of graphing calculators as teaching and learning aids in an intermediate linear algebra unit at the undergraduate level. Outlines the approach taken and discusses the problems that arose in relation to calculator use. (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)

A proposal for teaching how to graph functions is presented on the basis of the teaching theory of didactical situations implemented by the French author Guy Brousseau. The proposal is aimed at students in 12th grade in high school (USA) or in a freshman calculus course. The TI-92 graphic calculator was used as a teaching aid. (Author/ASK)

Presents an experiment to design a precalculus topic that would help prepare students for limits in differential calculus. Emphasizes the topic to enhance the interpretation of graphs and to be applicable in both technology-based and traditional precalculus courses. Uses graphing calculators to help students observe the results of their…

Promotes the use of logistic modeling in high school and early college mathematics, to compare this model to commonly used models, and to give an alternative to the TI-83 built-in logistic-regression key method when that method fails to converge or gives an inappropriate model. (ASK)

Presents two programs for the TI-83 to conduct the chi-square goodness-of-fit test in an elementary statistics course or any other course that might require students to conduct hypothesis tests relative to some frequency distribution. (ASK)

Presents an activity devised as a method of introducing periodic functions that can enable students to gain a deeper understanding of the concept of function. Employs a calculator-based laboratory, a light sensing probe, and an appropriate calculator. Calculator programs and sample data are included. (DDR)