Observes that competition is one of the most important concepts in economics, and that students typically learn a great deal about static competition but very little about dynamic competition. Presents a graphical method for illustrating and contrasting both views of competition. Notes other economic concepts that can be similarly illustrated.…

Describes the learning experiences of young children meeting stem-and-leaf plots for the first time. Presents a vignette that offers a real and dynamic example of how young children can learn, use, and evaluate this powerful statistical display. (Author/ASK)

Presents examples in which the graphing calculator can provide students with particularly valuable insights into some major statistics ideas such as random numbers. (ASK)

Reports the results of an informal study of very young children's reactions to some visual displays of data. (Author/ASK)

Presents an activity in which students learn how to label graphs in order to make them meaningful. (ASK)

Presents an activity which focuses on the graph of sine and cosine functions and other properties that can easily be inferred from the graph. (ASK)

Describes some observations of novice students during a data-logging activity and draws on recent relevant research. Discusses aspects of students' talk about real-time graphs and reports on their perceptions of using IT in science. Suggests that such talk may help develop students' appreciation of the meaning in their data and their skills in…

Reports on how students managed some technical aspects of graphics calculators as they used them to study graphs of straight lines and parabolas. Identifies three common student difficulties: (1) tendency to be unduly influenced by the jagged appearance of graphs; (2) poor understanding of the zoom operation; and (3) limited grasp of the processes…

Reviews recent research into the effectiveness of the graphing calculator as a tool for instruction and learning within precalculus and calculus, specifically in the study of functions, graphing, and modeling. Contends that much research fails to provide clear guidance or informed debate regarding the role of graphing calculators in mathematics…

Pre- and posttests and interviews concerning misconceptions and alternate conceptions of rates of change were administered to (n=42) students in first-semester calculus using a conceptually-motivated curriculum. Suggests that an emphasis on visual representations through construction and interpretation in conjunction with teacher-student analysis…

Uses the visual and programming capabilities of the graphing calculator to discern both differences and similarities between two independent collections of sample data. (MKR)

Description of a technique in Maple programming language that automatically prints all paths of any desired length along with the name of each vertex, proceeding in order from the beginning vertex to the ending vertex for a given graph. (Author/MM)

Discusses the use of tables versus graphs and describes a study that investigated how easily the information presented in each format is understood. Emphasizes the needs of the reader for simplification and clarity and considers implications for editors and referees when making suggestions to authors of journal articles. (LRW)

Explores an unexpected connection between a function, its inverse, and the arithmetic mean, algebraically and graphically. (MM)

Documents what high school students showed when asked to work on tasks that involved the use of various representations. Indicates that few students made proper connections between representations and the initial situation or problem on their own and exhibited competence in procedures such as expressing an area or solving quadratic equations, but…