The similarity between two apparently dissimilar problems is explored. Pascal's triangle is involved. (SD)

Three worksheets for use in studying triangular, square, and pentagonal numbers are presented. (SD)

Artistic configurations can be built using a rectangular array of points and number concepts or principles. (SD)

Activity questions based on the prime factorization of numbers can be answered by reference to the lattice structure of factors. (SD)

An algebra class asked: What is the smallest positive integer that is divisible by each integer less than or equal to ten? Students discovered factorials and a solution. Verifying the solution produced a series of numbers. Successive differences between entries, triangular arrays, and successive quotients finally led to Pascal's triangle. (KM)

Presents two experiments which investigated whether there is a shift with age in the relative speed and difficulty of same versus different judgments. Subjects included preschoolers, third graders, and college students. (SDH)

A study examined adult readers' phrasing ability to determine (1) if passage difficulty was a salient variable in readers' sensitivity to phrase boundaries in reading; (2) if phrase sensitivity was an issue of concern for young adult readers; and (3) if difficulties in phrasing were due to an overabundant or an inadequate sensitivity to phrase…

The ability to recognize, extend, and relate patterns and sequences to numeric, figural, and word representations plays a prominent role in science education. This study provided validation information for an instrument to assess childrens' ability to recognize and extend patterns and sequence in different representational forms. A 57-item…

The processing of mental structures in perception appears to be serial, in that viewers can fill in missing parts from an impoverished stimulus following a top down process. To investigate the effects of unfamiliarity, complexity, and legibility on object and layout perception of unfamiliar stimuli, ten subjects were shown one of four ribbon…

Information-processing students solving problems in the 1960s and 1970s accepted the tradition of early experimental psychology in concentrating primarily on the study of "knowledge-lean" tasks in which competence can usually be acquired over short periods of learning and experience. In recent years, experts have examined knowledge-rich…

Results from three studies involving college, third grade, and kindergarten subjects, suggest that individuals across a wide age range are able to use the visual properties of a stimulus for only a very brief period as the basis for making matched judgments. (Author/SDH)