A coordinate system is imposed on a geoboard to form a table that leads to the discovery of the formula n[(n+1)(n+1)] (n+2)/12. Proof is by induction. (MP)

Conjecture and proof, as opposed to numerical calculation, are presented as being the primary focus for teaching mathematics. (MP)

Human visual recognition on the basis of shape but regardless of size was investigated by reaction time methods. Results suggested two processes of size scaling: mental-image transformation and perceptual-scale transformation. Image transformation accounted for matching performance based on visual short-term memory, whereas scale transformation…

The origin of the magic square, its numerical concepts, and some procedures for its construction are discussed. (JT)

An approach to teaching sequences is described. The method is based on finding generating functions. (SD)

Designs and arrangements of pentominoes are examined. (SD)

Ratcliff (1985) simulated data from three letter-matching experiments with his diffusion model. The necessity of including a comparison criterion is consistent with the conclusion of Proctor, Rao, and Hurst (1984) that bias of response criteria, alone, is insufficient to generate the fast-same phenomenon. (Author/LMO)

Investigates whether elementary school children can successfully execute a mental rotation on Marmor's state-comparison task without knowledge of logical sequence relations, whereas such knowledge is required to construct or evaluate external representations of the successive states in a rotation movement. (HOD)

Two experiments involving a total of 177 infants 8 to 11 months of age found that subjects used a global processing strategy like adults' in discriminating transformations of a six-tone melody. Subjects needed melodic contour and frequency range to judge new sequences, but, in easy tasks, they also used absolute frequency. (CB)

As part of a larger experiment to study computer-based methods of teaching Othello, 24 subjects who had never played the game were pretested with visual-spatial tests. After 16 games of Othello, subjects were tested on knowledge of the game. Correlations of pretest and posttest scores were computed. (LMO)

Examines the rhythms of prose, cites several methods of determining language patterns, and concludes that the English language is basically a balanced language. (RB)

Comparisons of the regression profile and correlations of physical measures with latency for a 5-year-old subject (who performed 1250 trials in a form recognition task) with those for a group of 25 adults indicated that use of form information was highly consistent across age levels. (Author/WY)