Goal of this study was to obtain information pertaining to what is acquired when children gain the ability to reproduce a diagonal pattern. (Authors/CB)

Data suggests that perceptual processing in the language-appropriate direction is an established skill by the time a child finishes second grade. (Author)

Two strings of letters were presented. Subjects were instructed to indicate whether the second string contained the same elements as the first, regardless of position. Reaction time increased with the number of positions that the letters were displaced. Results indicate that order may be an important factor in retrieval from memory. (Author/BW)

Tree diagrams with numbers in a given pattern generate questions related to pattern recognition and number concepts such as binary numbers and exponentials. (MP)

The use of dice and dominoes in the classroom is discussed as leading from counting activities to pattern recognition and discovery learning. (MP)

A method for solving certain types of problems is illustrated by problems related to Fibonacci's triangle. The method involves pattern recognition, generalizing, algebraic manipulation, and mathematical induction. (MP)

Four categories of abuses are discussed: calculations, games and puzzles; mystical button pushing; and checking answers. Useful activities are illustrated for the categories of calculations, patterns, exploration, applications, and new content. (MP)

Some patterns resulting from certain operations on numbers are discussed, analyzed, and explained. A method for predicting the outcome of these operations for any number is developed.

Magic squares are developed beginning with square arrays of playing cards. (SD)

Presents activities that emphasize engaging students in proportional reasoning. Introduces students to the rules involved in recognizing proportions and invites students to discover how the numbers in an ordered pair are related. (JRH)

A form perception theory is proposed in an attempt to understand problems in mental rotation and in perception of forms rotated in the frontal-parallel plane. The theory, along with distinctions among four types of information, was supported by two mental and three visual experiments with 74 undergraduate students. (TJH)

The author describes various professionals' need for the ability to diagnose problems in their areas of expertise. Three psychological models are examined: (1) scientific rationality, (2) the template model, and (3) the interactionist model. The author discusses the integration of information on diagnostic processes into the adult professional…