Discusses examples from research of how students' misconceptions underlie their difficulties in interpreting kinematics graphs, possible underlying causes, and promising remedies. (KHR)

Discusses solving inequality problems involving linear programing. Describes the usual and alternative approaches. Presents an intuitive approach for finding a feasible solution by maximizing the objective function. (YP)

Activities in this article are a practical response to the philosophical debate about the use of technology in mathematics classes. Shows how technology can help students understand the sophisticated mathematics embedded in r, the correlation coefficient. Includes reproducible student worksheets. (MKR)

Describes two thought experiments, involving visualizing the behavior of functions, that can be turned into computer experiments. (MKR)

Discusses how different meanings can be given to the proof at different levels and branches of mathematics education. (ASK)

Presents an activity that utilizes a digital camera to capture a stream of water from a faucet to study quadratic behavior using graphing calculators. (ASK)

Reviews an alternative patterning approach and highlights the difficulties it can present when students lack the requisite skills and knowledge of processes. Describes how this approach can be used to introduce elementary algebraic ideas and offers recommendations for establishing these important understandings. (ASK)

Describes a spreadsheet model for approximating square roots then extends that model into the intriguing domain of chaos. Focuses on the use of a dynamic model to promote habits of mathematical reasoning, conjecturing, and graphing analysis that support mathematics learning across grade levels. (ASK)

Presents an activity that illustrates the application of mathematics to modern navigation and utilizes the Global Positioning System (GPS). GPS is a constellation of 24 satellites that enables receivers to compute their position anywhere on the earth with great accuracy. (DDR)

Provides examples of the mathematics explored in a project that involved teachers in seminars in which they solved problems that focused on algebraic thinking across the grades. Presents the project as a model for staff development for teachers across grade levels. (DDR)

Gives a lesson plan for a mathematics activity using balloons which shows connections between the algebraic concepts of slope, linear functions, and power functions and the geometric concepts of circle, sphere, volume, and pi. Includes reproducible student worksheets. (MKR)

Presents an activity in which students draw a picture, analyze each line and curve, and write the symbolic equations represented by the graph. Includes reproducible student worksheets. (MKR)

Presents five lessons to demonstrate how graphing calculators can be used to teach the slope-intercept concept of linear equations and to establish more general principles about two-dimensional graphs. Contains a reproducible student quiz. (MKR)

Discusses the use of technology to investigate what graphs represent as well as how to interpret graphs. (MKR)

Presents algebraic and geometric solutions with surprising twists to a word problem involving linear functions and postal rates. (MKR)