Abstract
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.
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References
Adams, M. J. (1979). Models of word recognition.Cognitive Psychology,11, 133–176.
Bernard, J. (1983). An essay on perception and understanding of mathematical symbolism.International Journal for Mathematics Education in Science & Technology,14, 489–496.
Cattell, J. M. (1885). The inertia of the eye and brain.Brain,8, 295–312.
Chase, W. G., &Simon, H. A. (1973). Perception in chess.Cognitive Psychology,4, 55–81.
Duncan, J. (1983). Category effects in visual search: A failure to replicate the “oh-zero” phenomenon.Perception & Psychophysics,34, 221–232.
Egan, D. E., &Schwartz, B. J. (1979). Chunking in recall of symbolic drawings.Memory & Cognition,7, 149–158.
Estes, W. K. (1975). Memory, perception, and decision in letter identification. In R. L. Solso (Ed.),Information processing and cognition: The Loyola symposium (pp. 3–30). Hillsdale, NJ: Erlbaum.
Estes, W. K., Allmeyer, D. H., &Reder, S. M. (1976). Serial position functions for letter identification at brief and extended exposure durations.Perception & Psychophysics,19, 1–15.
Fisher, D. F. (1975). Reading and visual search.Memory & Cognition,3, 188–196.
Ingling, N. W. (1972). Categorization: A mechanism for rapid information processing.Journal of Experimental Psychology,94, 239–243.
Johnston, J. C. (1978). A test of the sophisticated guessing theory of word perception.Cognitive Psychology,10, 123–153.
Jonides, J., &Gleitman, H. (1972). A conceptual category effect in visual search: O as letter or as digit.Perception & Psychophysics,12, 457–460.
Jonides, J., &Gleitman, H. (1976). The benefit of categorization in visual search: Target location without identification.Perception & Psychophysics,20, 289–298.
Krueger, L. E. (1984). The category effect in visual search depends upon physical rather than conceptual differences.Perception& Psychophysics,35, 558–564.
Massaro, D. W. (1979). Letter information and orthographic context in word perception.Journal of Experimental Psychology:Human Perception & Performance,5, 595–609.
McClelland, J. L., &Rumelhart, D. E. (1981). An interactive activation model of context effects in letter perception: Part 1. An account of a basic findings.Psychological Review,88, 375–407
Miller, G. A., &Isard, S. (1963). Some perceptual consequences of linguistic rules.Journal of Verbal Learning & Verbal Behavior,2, 217–228
Paap, K. R., Newsome, S. L., McDonald, J. E., &Schvaneveldt, R. W. (1982). An activation-venfication model for letter and word recognition: The word-superiority effect.Psychological Review,89, 573–594.
Ranney, M. (1984).Structural context in perception: Syntax in the recognition of graphemic strings. Unpublished master’s thesis. University ot Pittsburgh.
Reicher, G. M. (1969). Perceptual recognition as a function of meaning-fulness of stimulus material.Journal of Experimental Psychology,81, 275–280.
Reitman, J S. (1976). Skilled perception in Go: Deducing memory structures from inter-response times.Cognitive Psychology,8, 336–356.
Rumelhardt, D. E., &McClelland, J. L. (1982). An interactive activation model of context effects ill letter perception: Part 2. The contextual enhancement effect and some tests and extensions of the model.Psychological Review,89, 60–94.
Rumelhart, D. E., &Siple, P. (1974). The process of recognizing tachistoscopically presented words.Psychological Review,81, 99–118.
Thompson, M. C., &Massaro, D. W. (1973). Visual information and redundancy in reading.Journal of Experimental Psychology,98, 49–54.
Wheeler, D. D. (1970). Processes in word recognition.Cognitive Psychology,1, 59–85.
Write, M. J. (1977). Identification and categorization in visual search.Memory & Cognition, 5, 648–657.
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Ranney, M. The role of structural context in perception: Syntax in the recognition of algebraic expressions. Memory & Cognition 15, 29–41 (1987). https://doi.org/10.3758/BF03197710
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DOI: https://doi.org/10.3758/BF03197710