The author explores relationships among the lengths of sides of a triangle, one of whose angles measures 60 degrees. A computer program designed to search for special triangles is included. (SD)

Describes a mathematics course that involves the study of growth patterns combined with an analysis of the symmetry of patterns. Briefly outline the curriculum and and discusses key features of the course, such as use of hands-on models, video, slides, and speakers from other disciplines. Contains 29 references. (DDR)

Principles of brain-based learning, including pattern and meaning making, parallel processing, and the role of stress and threat, are explained, along with their connections to longstanding practices of experiential education. The Brain Compatible Approach is one avenue for clarifying to mainstream educators how and why experiential methods are…

Gives a definition for "trends" and describes ways to use and find trends. Discusses different types of trends including trends for academic libraries, trends for other types of libraries/general librarianship, trends for umbrella entities, and general societal trends. Concludes by giving recommendation for finding trends from various sources. (MZ)

Describes an activity that utilizes four pattern blocks to help students understand and explain perimeter. Engages students in making and supporting conjectures about a scenario that involves trains composed of various shapes with different perimeters. (DDR)

Describes two activities involving sorting, counting, and determining relationships that use sameness and difference, spatial skills, pattern identification, number bonds, and generalization. (DDR)

Thirty students (ages 3-20) with profound mental retardation and 30 healthy, full-term infants (5-8 months) were shown 12 patterned stimuli, three times each. Both groups looked significantly longer at face patterns than other patterns. However, the students with mental retardation looked longer at black and white patterns than colored patterns,…

The described activities give children an opportunity to use geometric ideas to reinforce arithmetic concepts and to use arithmetic ideas to generate geometric figures (both circles and polygons). (MNS)

Describes an activity designed to allow secondary students to practice pattern recognition using the proof-of-purchase scanning lines found on many consumer products. Provided are a list of materials, procedures, and student activity sheets. (CW)

The Assessment of Performance Unit recognized the importance of reading and interpreting data but saw them as discrete aspects of "process" science. However, pupil performance on different components of the same data-handling assessment question is often very variable, indicating that these questions carry "hidden" cognitive…

Examines the prospect of facilitating the discovery process for scientific researchers through anticipatory learning that is viewed as critical to the enhancement of intuitive abilities in pattern recognition among researchers. Discusses intuition, metaphorical thinking, and aesthetics as playing significant roles in the development of pattern…

In "Thriving on Chaos," author Tom Peters suggests that future managers will need the quick reactions of video game players. Patient observation may work better. Chaos theory teaches that random happenings cannot be controlled; the toughest, randomly caused problems have no solutions; a leader's vision or moral code cannot be imposed on…

The stochastic interactive activation and competition (SIAC) model of perception is presented and tested using several data sets from previous research. The asymptotic predictions of the SIAC model are compared with those of the fuzzy logical model of perception (FLMP). Evidence favoring the FLMP is reviewed. (SLD)

Presented are 44 examples in which students are invited to guess what pattern of numbers is emerging and to decide whether the pattern will persist. Topics of examples include Pascal's triangle, integers, vertices, Fibonacci numbers, power series, partition functions, and Euler's theorem. The answers to all problems are included. (KR)

Shows that the construction of mental representations that capture a situation based on the comprehension of a diagram are mediated by the possession of appropriate background knowledge. Indicates that background knowledge deficiencies may make it difficult for beginning students of a domain to construct suitable mental representations from…