Describes a student's unique perspective on the algorithm for finding equations of non-vertical lines given one point and the slope. Indicates that students had a better understanding of what they were doing. (KHR)

Presents activities that use toy balloons to offer students interesting opportunities to connect algebra and geometry. Involves students measuring the speed of a released balloon and investigating the subtle relationship between the volume of a sphere and its surface area. Prompts a rich and revealing discussion about why the experimental results…

Includes fascinating stories about mathematicians and their interesting lives. Shows that mathematicians are human beings with peculiar foibles and personality quirks just like the rest of us. (KHR)

Focuses on Pierre Varignon (1654-1722), who established the central place of mathematics in schools of Western Europe and his parallelogram theorem. (KHR)

Discusses the distribution of primes and focuses directly on one particular recurring pattern among them. (Author/NB)

Describes a combinatorics problem involving pizza toppings. Includes three activity sheets. (Author/NB)

The ability to transpose music into any key is assumed by musicians. Such was not always possible. Addresses the role of nth roots in tempering the piano keyboard. (Author/NB)

Demonstrates what it might mean to engage students in problem posing and how teachers might begin to create classroom environments that encourage, develop, and foster mathematical curiosity. (Author/NB)

Describes a calculus review game based on the popular game show "Wheel of Fortune." (Author/NB)

Exposes difficulties encountered when using interactive geometry software to teach the methodology of proofwriting (observing, conjecturing, and proving) in secondary geometry courses. (Author/NB)

Why calculators should be used for testing, as well as for instruction, is discussed. The focus of the curriculum would shift from computation to deeper development of concepts and to mathematical modeling. A broader curriculum would result. (MNS)

Explores trapezoidal numbers, which are the result of subtracting two triangular numbers. Includes classroom activities involving trapezoidal numbers to help students develop their problem-solving skills. Includes reproducible student worksheets. (MKR)

Describes and presents examples of external and internal characteristics of learning environments that may help students' achievement and interest in mathematics. External characteristics include time, space, and support while internal characteristics include teachers' habits of mind. (MKR)

Explores the effects of varying the coefficients in the general quadratic function using graphing calculators. (MKR)

Discusses the mathematical applications of weather including Fahrenheit-Celsius conversions, temperature cycles, the wind-chill factor, and a temperature-humidity index. (MKR)