The fundamental theorem of calculus, in its simplified complexity, connects differential and integral calculus. The power of the theorem comes not merely from recognizing it as a mathematical fact but from using it as a systematic tool. As a high school calculus teacher, the author developed and taught lessons on this fundamental theorem that were…

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

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)

Graphing calculators convert an equation to a visual model allowing students to make connections between mathematical concepts. Teachers are very receptive to the calculators, according to the director of the Calculator and Computer Precalculus Project at Ohio State University. (MLF)

This book contains an interactive calculator and worksheet program designed to teach the graphing of some of the functions that appear in high school mathematics courses. The graphs of linear, exponential, and logarithmic functions are explored as well as other functions. Activities focus on the graph that appears as a standard part of algebra…

This paper has two goals. The first is to present a model of the acquisition of a concept image of function. Theories describing the objectification of function are outlined through two different but related paths, and both stem from the conception of function as a process. The first path to objectification involves the generalization of the…

Presents examples of experiments designed for high school students with the help of a microcomputer-based laboratory called Explorer. Argues that these tools enable students to investigate many principles of physics that were not feasible in the past. (DDR)

Demonstrates how to construct rational, exponential, and sinusoidal functions that appear normal on one scale but exhibit interesting hidden behavior when viewed on another scale. By exploring these examples, students learn the importance of scale, window size, and resolution effects in computer and calculator graphing. (MAZ)

Stresses using the features of graphing calculators to teach parametric equations much earlier in the curriculum than is presently done. Examples using parametric equations to teach slopes and lines in beginning algebra, inverse functions in advanced algebra, the wrapping function, and simulations of physical phenomena are presented. (MAZ)

This paper presents a comparative analysis of the Western Australian Calculus Tertiary Entrance Examination (TEE) papers for 1996-99, two years before and two years after the introduction of graphics calculators on the examination. Changes in the questions that asked students to graph rational functions and students' answers to the corresponding…