Uses the notion of focusing phenomena to explain how a teacher's actions were connected to her students' interpretations of a linear equation. Conducts interviews and analyzes a high-school classroom that emphasized dependency relationships in real-world situations. Describes how the teacher directed attention away from functional relationships…

Presents a typical cost-allocation problem with possible solutions, including geometric and combinatoric ones. Provides students with a real-life application of the mathematics that they know. (KHR)

Develops covariational reasoning and proposes a framework for describing mental actions when interpreting and representing dynamic function events. Investigates calculus students' ability to reason about covarying quantities in dynamic situations. Suggests that curriculum and instruction should emphasize moving students to a coordinated image of…

Describes the creation of a company purchase order complete with the names of items to be purchased, cost, quantity, discounts, sales tax, and balance due. It requires students to apply their knowledge and understanding of percentages and also gives students an opportunity to understand the mathematics they use with algebraic formulas. (AIM)

Uses Muybridge's sequence of photos of a moving cat to examine how one might picture changes in the cat's velocity. Classroom implications include building on personally enacted physical experience and recognizing uncertainty as fundamental. Concludes that carefully examined case examples are essential in teaching students to learn and reason…

Addresses the "T-cubed" or Teachers Teaching with Technology program and their courses utilizing hand-held technology such as graphic calculators, data-loggers and the TI-92 hand-held computer. Describes practical experiments involving discharge, a temperature probe, and an oscillating water sprinkler. (AIM)

Describes a classroom project involving the construction of a holiday mobile. Necessary supplies include a lightweight hanger, construction paper, string, scissors, protractors, compasses, and rulers. Concepts involved in the construction of the project include illustrating a chord, radius, diameter, shapes, metric measuring, circumference, area,…

Presents activities designed to introduce a mathematical idea having several applications for determining the optimal location for a radio station's transmitter and the best locations for a fire station. Includes student worksheets and solutions. (KHR)

Presents ways of making mathematics come alive for students including inviting historical mathematicians into the classroom. Suggests that costumes and drama add special appeal to looking at the history of mathematics. (KHR)

Describes a group project that involves geometry and falls into an area of mathematics known as operations research, which is crucial to making decisions in business and industry. Includes problem statements and project assessment guidelines and illustrates solutions. (KHR)

Students in grades 1 and 2 did a two-year research project to help take care of their world. Technology afforded them an effective means of interpreting and communicating their findings to a far broader audience than they had anticipated. (Author/NB)

Introduces an activity that focuses on Hooke's law to implement and furnish applications of linear equations and graphing in a physical situation. (KHR)

Explores why it is impossible to make a square from six tangram pieces and, in the process, develops insight into the nature of learning mathematics as well as strategies for teaching. (YDS)

Describes a beginning algebra course that places stronger emphasis on learning to solve problems and introduces topics using real world applications. Students learn estimating, graphing, and algebraic algorithms for the purpose of solving problems. Indicates that applications motivate students by appearing to be a more relevant topic as well as…

Presented are activities which use data from an instrument which combines speedometer, odometer, and clock readings on a circular graph. Applications of linear graphs using actual and simulated tachographs are discussed. Examples of student work are given. (CW)