The role of structural context in perception: Syntax in the recognition of algebraic expressions

Two character-identification experiments investigated the function of structural context during the processing of briefly exposed algebraic strings. Neither experiment prodded evidence to support the notion of an algebra-superiority effect, a contextually driven enhancement of the recognition of specific algebraic characters. However, the results of Experiment 2 indicate that the structure of algebra does provide information at the level of a character’s categorical denomination. These findings suggest that the parsing of an algebraic string includes a level of processing in which its structural context places restrictions on the denominations of its symbols. A processing model of algebraic perception is proposed that incorporates these syntactic constraints—constraints that appear to be independent of feature-based character identification processes.

[1]  Marilyn Jager Adams,et al.  Models of word recognition , 1979, Cognitive Psychology.

[2]  D. D. Wheeler Processes in word recognition , 1970 .

[3]  L. E. Krueger The category effect in visual search depends on physical rather than conceptual differences , 1984, Perception & psychophysics.

[4]  D. Massaro,et al.  Visual information and redundancy in reading. , 1973, Journal of experimental psychology.

[5]  G. A. Miller,et al.  Some perceptual consequences of linguistic rules , 1963 .

[6]  James L. McClelland,et al.  An interactive activation model of context effects in letter perception: Part 2. The contextual enhancement effect and some tests and extensions of the model. , 1982, Psychological review.

[7]  D W Massaro,et al.  Letter information and orthographic context in word perception. , 1979, Journal of experimental psychology. Human perception and performance.

[8]  James L. McClelland,et al.  An interactive activation model of context effects in letter perception: I. An account of basic findings. , 1981 .

[9]  G. M. Reicher Perceptual recognition as a function of meaninfulness of stimulus material. , 1969, Journal of experimental psychology.

[10]  H. Simon,et al.  Perception in chess , 1973 .

[11]  W. Estes,et al.  Serial position functions for letter identification at brief and extended exposure durations , 1976 .

[12]  Murray J. White,et al.  Identification and categorization in visual search , 1977, Memory & cognition.

[13]  D. Rumelhart,et al.  Process of recognizing tachistoscopically presented words. , 1974, Psychological review.

[14]  R W Schvaneveldt,et al.  An activation--verification model for letter and word recognition: the word-superiority effect. , 1982, Psychological review.

[15]  J. Jonides,et al.  A conceptual category effect in visual search: O as letter or as digit , 1972 .

[16]  John Jonides,et al.  The benefit of categorization in visual search: Target location without identification , 1976 .

[17]  N. W. Ingling Categorization: A mechanism for rapid information processing. , 1972 .

[18]  Judith S Reitman,et al.  Skilled perception in Go: Deducing memory structures from inter-response times , 1976, Cognitive Psychology.

[19]  James C Johnston,et al.  A test of the Sophisticated Guessing Theory of word perception , 1978, Cognitive Psychology.

[20]  J. Duncan Category effects in visual search: A failure to replicate the “oh-zero” phenomenon , 1983, Perception & psychophysics.

[21]  D E Egan,et al.  Chunking in recall of symbolic drawings , 1979, Memory & cognition.

[22]  John BernardAn essay on perception and understanding of mathematical symbolism , 1983 .

[23]  D. F. Fisher,et al.  Reading and visual search , 1975, Memory & cognition.