One way to develop a cross-curricular lesson is to select the most common mathematical formulas used in science and carefully develop and implement tasks that allow students to make connections between the mathematical representations and theoretical/physical science concepts. The slope-intercept formula, which is used to study relationships…

Graphing polar curves typically involves a combination of three traditional techniques, all of which can be time-consuming and tedious. However, an alternative method--graphing the polar function on a rectangular plane--simplifies graphing, increases student understanding of the polar coordinate system, and reinforces graphing techniques learned…

To support students' development of concepts in mathematics, the use of technology is often encouraged (Common Core State Standards Initiative [CCSSI] 2010). Technology can contextualize learning and provide a meaningful setting for mathematical ideas. Most teachers are supportive regarding the use of technology to encourage learning and…

When teaching transformations of functions, teachers typically have students vary the coefficients of equations and examine the resulting changes in the graph. This approach, however, may lead students to memorise rules related to transformations. Students need opportunities to think deeply about transformations beyond superficial observations…

Graphing bivariate data in a scatter plot and drawing an approximate line of best fit for the data have become commonly recommended activities for middle school and high school students. The graphing calculator has provided a mechanism for students both to approximate a best-fit line and to calculate the best-fit line using a built-in option. Two…

Middle school mathematics classrooms are changing. The curriculum has changed as well. Instead of an annual return to previously encountered topics, many middle school students encounter mathematics of a varying nature, characterized in "Principles and Standards for School Mathematics" (NCTM 2000) as the five Content Standards of Number and…

The revolution of technology in education has heralded a new wave of learning styles and in some cases total dependence on technology. Yet, statistics reveal no significant improvement in student performance in Mathematics and a downward trend in basic algebra skills. The major impediment in the learning process is lack of understanding of the…

As part of the "Car Lab Project," students constructed rubber band cars, raced them, and worked through a number of automotive activities. The students engaged in this project certainly had fun, but they also used high-tech gear such as motion sensors and graphing calculators to gather data on the distance and time cars traveled and to generate…

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)

Explores ways in which various technologies can be integrated to teach the transformation of graphs in an interactive and dynamic way. Discusses how the use of graphic calculators, a spreadsheet, graph plotter, presentation package, and an interactive whiteboard can be combined to give students the opportunity to investigate, understand, and have…

The concept of function is central in mathematics and grows in importance as one progresses in depth and breadth of understanding mathematics. Results from national assessment progress reports indicate that the majority of students do not comprehend the concepts of function and graphing. Technology has the potential to improve the understanding of…

Discusses the interconnection among the various modes of the TI-92 calculator (geometry, data graphing, function graphing, and algebra) and how the power of visualization is extended to provide multiple approaches to complex problem situations. Provides a graphing problem with illustrations and results. (AIM)

U.S. mathematics education has been criticized for being too broad. This article examines ways middle school students use simple problems and situations to foster a deeper understanding of underlying concepts. Presents a sample area and perimeter problem, describes extending the problem using tiles to determine minimum perimeter, and discusses…

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…

Demonstrates how graphing calculators can be used by students to solve equations involving absolute value. Allows students to make connections between the algebraic and graphical representations of the problem. (MDH)