The formula used by the telephone company to determine long distance charges is presented and several sample problems are included. (MP)

Describes a project that allows students to derive fractions with varying denominators, estimate that fractional representation in a pie chart as a piece of the whole, and add their various fractions to find the sum equal to one whole. Includes samples of student work. (DDR)

Examines bar models as graphical representations of rational numbers and presents related real life problems. Concludes that, through pairing the fraction bars with ratio tables and other ways of teaching numbers, numeric strategies become connected with visual strategies that allow students with diverse ways of thinking to share their…

Presents an activity that establishes a graphical foundation for parametric equations by using a graphing output form called tubeplots from the computer program Maple. Provides a comprehensive review and exploration of many previously learned topics. (ASK)

Describes how a software package that includes a spreadsheet, a relation grapher, and a dynamic geometry can contribute to teacher training through an exploratory problem-solving course. Discusses the ways in which technology-rich environments enhance and extend traditional topics. Contains 17 references. (DDR)

Examines four areas of difficulty with graphing and modeling, identifies confusions and misconceptions, and shows how these areas interact in the presence of data-collection devices. (KHR)

Describes a simulation using dice-tossing students in a population cluster to model the growth of cancer cells. This growth is recorded in a scatterplot and compared to an exponential function graph. (KHR)

Discusses Einstein's special relativity theory and some of the developmental mathematics involved. Presents motivational classroom materials used in discussing relative-motion problems, evaluating a radical expression, graphing with asymptotes, interpreting a graph, studying variation, and solving literal and radical equations. (KHR)

Presents an inquiry-based research model for high school students to engage in inquiry learning. Provides students and teachers with a better understanding of inquiry and greater confidence in their critical thinking skills. (Author/SOE)

Addresses the early stages of children's introduction to the use of variables in formal algebraic notation. Describes a teaching approach that aims to situate the use of formal notation in meaningful contexts. Presents a study of a teaching sequence based on children working with this approach using graphical feedback in problem solutions. (AIM)

Describes a graphing activity that promotes mathematical connections with social studies lessons. Students should be familiar with graphing on the Cartesian coordinate system to play this variation of the game Battleship on maps of various regions of the world. (AIM)

This study evaluated effects of a training package to improve behaviors of residents with mental retardation and staff responses. The training procedure included video feedback and self-management procedures (for residents) and video and graphic feedback (for staff). Results showed improved behaviors for residents with both internalizing and…

Describes an approach to the design of learning environments around a computer algebra kernel. Presents two environments to help students learn precalculus. Provides students with symbolic, graphic, and numeric tools as well as functionalities to help them build proofs. (Author/KHR)

Describes how prospective elementary teachers examined, analyzed, and evaluated four students' written responses on a graphing task for an end-of-course performance assessment in a mathematics methods course. Provides evidence of the prospective teachers' pedagogical content knowledge. Indicates the importance of process and correct answers and…

Presented is a method of interchanging the x-axis and y-axis for viewing the graph of the inverse function. Discussed are the inverse function and the usual proofs that are used for the function. (KR)