Graphing calculator use is often thought of in terms of pre-calculus or continuous topics in mathematics. This paper contains examples and activities that demonstrate useful, interesting, and easy ways to use a graphing calculator with discrete topics. Examples are given for each of the following topics: functions, mathematical induction and…

Considers some changes that the use of graphics calculators impose on the assessment of calculus and mathematical modeling at the undergraduate level. Suggests some of the ways in which the assessment of mathematical tasks can be modified as the mechanics of calculation become routine and questions of analysis and interpretation assume greater…

This paper presents teaching strategies and examples developed for a two-semester sequence in quantitative problem solving, specifically outlining a non-calculus derivation of linear regression formulas supported by the graphical display of the TI-83 calculator to visualize the minimization of the sum-squared vertical distances. The paper…

This paper presents some ideas on how to utilize TI-83 Plus calculators to perform division of one polynomial (the divided) by another polynomial (the divisor) and how that procedure might be incorporated into a college algebra lesson. Four ways to obtain the quotient and remainder when dividing a polynomial by a first-degree polynomial are…

This booklet contains a representative sample of the efforts of colleagues at 11 institutions to use graphing calculators to enhance the teaching of calculus and precalculus. The first section contains examples of graphs for teachers to choose from for presentations, including: simple examples to illustrate some standard ideas in precalculus,…

Attempts to answer and generalize the question: When is the numerical derivative obtained on the graphing calculator greater than the actual derivative, and when is it smaller? Discusses symmetric difference. (MKR)

Students can learn to make algebra, trigonometry, and geometry work for them by using matrices to rotate figures on the graphics screen of a graphing calculator. Includes a software program, TRNSFORM, for the TI-81 graphing calculator which can draw and rotate a triangle. (MKR)

Describes a lesson that outlines a statistics/probability investigation into some aspects of past performance in snooker (a billiards game) using the random number generator on a graphing calculator. (MKR)

This issue of Mathematics Education Dialogues focuses on the nature and the role of algebra in the K-14 curriculum. Articles on this theme include: (1) "Algebra For All? Why?" (Nel Noddings); (2) "Algebra For All: It's a Matter of Equity, Expectations, and Effectiveness" (Dorothy S. Strong and Nell B. Cobb); (3) "Don't Delay: Build and Talk about…

Presents four activities that use graphing calculators, spreadsheets, and graphing software to model population growth. (MKR)

Reviews tasks and techniques to help students develop an appropriate instrumental genesis for algebra and functions to prepare for calculus. Focuses on the potential of the calculator to connect enactive representations and theoretical calculus. Discusses strategies to help students experiment with symbolic concepts in calculus. (Contains 32…

This paper merges state-of-the-art calculator technology with examples drawn from the Harvard Consortium Calculus Curriculum. A brief rationale for selection of the Harvard project and the TI-85 is provided, and four different mathematical situations are examined using different capabilities of the TI-85. Two short TI-85 programs are given.…

Discusses the use of graphing calculators for polar and parametric equations. Presents eight lines of the program for the graph of a parametric equation and 11 lines of the program for a graph of a polar equation. Illustrates the application of the programs for planetary motion and free-fall motion. (YP)

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…

Mathematics software can be a great aid in understanding difficult mathematics concepts at all levels. This paper presents nine exercises on calculus concepts by using different software used in mathematics education. Each exercise includes instruction on how to use software in order to highlight a specific concept in mathematics. This paper also…