Have you ever considered how technology could facilitate reasoning and sense making of systems of linear inequalities? In this article, the authors share how to use Google® Maps® and Desmos to achieve this and provide students with opportunities to access mathematics as they build a more formalized understanding. Using an inquiry-based approach,…

Activities for Students appears five times each year in Mathematics Teacher, promoting student-centered activities that teachers can adapt for use in their own classroom. In the course of the activities presented here, students will "look for and make use of structure" by observing algebraic patterns in the power rule and "use…

If the prospective students of probability lack a background in mathematical proofs, hands-on classroom activities may work well to help them to learn to analyze problems correctly. For example, students may physically roll a die twice to count and compare the frequency of the sequences. Tools such as graphing calculators or Microsoft Excel®…

In algebra and precalculus courses, students are often asked to find extreme values of polynomial functions in the context of solving an applied problem; but without the notion of derivative, something is lost. Either the functions are reduced to quadratics, since students know the formula for the vertex of a parabola, or solutions are…

This article describes a solution, using CAS, to graph theory problem that was presented in the movie "Good Will Hunting."

This article offers an engaging application that adds meaning to the binomial theorem. (Contains 8 figures.)

Focuses on solutions to a single problem using both induction and deduction by utilizing a TI-82 graphing calculator to illustrate symbolic, numerical, and graphical approaches to the problem. (ASK)

The values of a polynomial with integer coefficients can be computed using a graphing calculator, but it is impossible to see the formula itself. Suggests finding this formula from numerical data and describes the unusual way to solve this problem with one calculation only. (Author/NB)

What initially appears to be a standard maximum-minimum problem presents, with a particular independent variable, a wealth of calculus and algebraic subplots. Uses graphing calculator technology to reinforce the "pencil and paper" solution and open the problem to lower level mathematics courses. (Author/NB)

A Mandelbrot mathematical set is an object with endless borders, and in the present exercise a graphing calculator is used to identify and examine the set points. The significance and power of technology is also displayed in the understanding and solving of problems.

The students need not compute dependent values required in making line graphs but to teach the students the usage of graphing calculator to plot, calculating and graph linear equations, which are best suited to real world data. In this initial learning process, the teacher should give minimum support to the students in arriving at a solution as…

This article illustrates the fact that unless tempered by algebraic reasoning, a graphing calculator can lead one to erroneous conclusions. It also demonstrates that some problems can be solved by combining technology with algebra.

Introduces a lesson that incorporates numeric, graphic, and algebraic approaches as well as a strong verbal communication component into the maximizing problem. (ASK)

Presents four methods for solving a quadratic equation using graphing calculator technology: (1) graphing with the CALC feature; (2) quadratic formula program; (3) table; and (4) solver. Includes a worksheet for a lab activity on factoring quadratic equations. (KHR)

Presents a mathematics problem on how a sailor decides the shortest distance between two points by using a calculator. (ASK)