Examines the geometrical interpretation of the vector operation curl for vector fields "A" such that "A" dot curl "A" is not equal to zero. (MLH)

Shows that radioactivity is a binomially distributed process, based on a probability equation approach, for any value of the observation time. (MLH)

Dependent variables such as preference, hedonic tone, aesthetic appreciation, and developmental stages are frequently observed to be single-peaked functions of the independent variables. This research addresses the problem of deriving, from more elementary underlying processes, a preference function that rises monotonically to a peak and then…

Suggests a theoretical framework to address some phenomena of mathematical behavior. Defines the terms "pseudo-conceptual" and "pseudo-analytical" and analyzes examples from classrooms, exams, and homework within the framework. (Author/AIM)

Examines problem-solving results among second-grade students in three schools that were all using a reformed mathematics curriculum. Except for one problem, more students used a mental procedure than the standard written algorithms, and both methods were used with approximately the same degree of accuracy. (AIM)

This investigation designed for grades three through six centers on the relationship between area and perimeter when solving a problem related to designing a garden. Goals include using area and perimeter in an authentic situation, generating hypotheses, and exploring congruence. (AIM)

Presents an activity, including worksheets, that introduces the ideas behind CAT scanners and explains how they are used in medical research and diagnosis. (MKR)

English secondary students were shown pictures of everyday activities and interviewed about whether math was involved. They were aware of daily math and did not have difficulties identifying math in practical or traditionally female activities. However, they restricted math to activities involving single-solution problems and formal rather than…

Presents a series of questions designed to help convince students that mathematics is useful, current, and newsworthy through solving systems of linear equations in real world contexts. (KHR)

Endorses the projects approach to learning as helping students acquire contextual, personal knowledge rather than learning only isolated bits of content information. Describes the five-step process for doing projects which includes productive thinking or generating ideas, the planning or organizing of ideas, decision making, communication or…

Describes Chomp, an educational strategy game for use in high school programming courses that can encourage cooperative learning. Discusses rules of the game; Chomp players; Chomp board programs; Chomp tournaments; Chomp strategies; and extensions of the activity that can involve more advanced mathematics. (LRW)

Investigates 2nd and 3rd grade students' estimation of distances traveled during the summer. Uses concepts from measurement, approximation, number sense, and organizing and interpreting information. (KHR)

Discusses mastery goals and developmental levels of students aged 3-7 for learning numbers in informal situations. (KHR)

Describes how the concept of similar triangles was taught using an optical method of estimating large distances as a corresponding activity. Includes the derivation of a formula to calculate one source of measurement error and is a nice exercise in the use of the properties of similar triangles. (Author/NB)

Discusses a student's experiences as she completes a homework assignment on measurement. Links literature and mathematics in an appealing and meaningful way. (Author/NB)