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 guide provides students with practice for all the major types of graphs they are likely to encounter. It includes information on graphs of various families of algebraic functions; bar, line, and circle graphs; the creation, reading, and interpretation of graphs; and the use of graphing calculators. (MVL)

Uses a graphing calculator to demonstrate that dividing by a fraction is the same as multiplying by the reciprocal. Students graph a division problem and an equivalent problem, multiplying by the reciprocal. They find that the graphs are the same. (SKS)

Explores the effects of varying the coefficients in the general quadratic function using graphing calculators. (MKR)

Algebraic calculators with symbolic manipulation capabilities are tools in some classrooms for 14-19 year olds, and their use in learning and teaching mathematics is likely to increase over time. Explains the reports of government-initiated working groups that consider the implications of their use in academic mathematics examinations for…

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…

An example is given of a class of problems whose solutions require the use of a scientific calculator in order to plot the graphs. (MP)

Computation errors that may occur by expanded use of calculators are discussed. Potential errors with five exact arithmetic examples are described as they are translated into approximate processes. (MNS)

Explores quadratic functions using the graphing calculator. Discoveries are made graphically whereas hypotheses are proven algebraically. Includes traditional quadratics, other algebraic quadratics, nonpolynomial quadratics, transcendental quadratics, and proofs. (MKR)

Active involvement and infusion of mathematics into familiar, everyday experiences are essential elements in challenging students to engage in true thinking. Presents an investigation on graphing that touches on all representations including tables of values, graphs, and verbal descriptions. (ASK)

Describes an activity in which students are given a set of designs and are required to use their electronic grapher to reproduce the designs. The activity reinforces students' understanding of lines and of the formula for a linear function. (MKR)

Presents the Fibonacci sequence in a format that is readily implemented using the table and list features of the Texas Instruments TI-82 graphing calculator or a spreadsheet. Includes questions and investigations that can be explored using these tables and lists. (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)

Shows a direct solution for factoring trinomials, without trial and error, using a calculator. When a calculator is not available, the mathematical chore is eased somewhat using reference tables, as shown in two noncalculator methods (determining nonfactorability and factorability). (JN)

Four problems are presented and solutions using a calculator are illustrated. (MK)