Uses parametric equations and a graphing calculator to investigate the connections among the algebraic, numerical, and graphical representations of functions. (MKR)

Illustrates exploration of composition of functions, translations, and inverse functions on a graphing calculator. Includes reproducible student worksheets. (MKR)

Illustrates how to connect mathematics to real-world problems. Describes the calculator-based laboratory system which collects data from the real world and transfers it to graphing calculators. Presents an activity that emphasizes elliptic integrals. (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…

This paper documents how eight high school students in a precalculus class enhanced with graphing calculators think about functions. Three models of thinking about functions emerged from students' function images observed over a period of 9 months. In the graph model, students believed that functions are essentially graphs; in the equation model,…

Describes a simple cooling experiment that can be conducted in class at the college algebra, precalculus, calculus, or differential equations level whose aim is to determine the best exponential function to fit the experimental data. (Author/ASK)

Describes five college and two high school students' understandings of function and limit in a graphics calculator-based environment and identifies instances where students' understanding seems to have been influenced by the availability of a graphing calculator. (27 references) (MKR)

The advent of calculators for graphing and function plotters is changing the way college algebra and calculus are taught. This paper illustrates how the machines are used for teaching the following: (1) domain and range; (2) product and quotient inequalities; and (3) the solving of equations. Instructional hints are provided for each topic with…

Develops and validates an instrument for determining student preferences for multiple representations of functions and establishes baseline data for future research. Students showed preferences for representations of functions which varied between contextualized and noncontextualized settings. Students' preferences for the two settings were more…