Sequential effects in number comparison

Journal of Experimental Psychology: Human Perception and Performance

Volumn 26, Issue 5, 2000, Pages 1606-1621

  Schwarz, Wolfgang ^a,b   Ischebeck, Anja ^a  

^a RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

^b RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ADOLESCENT; ADULT; ARTICLE; FEMALE; HUMAN; LINGUISTICS; MALE; MATHEMATICS; RANDOMIZATION; REACTION TIME; VISION;

ADOLESCENT; ADULT; FEMALE; HUMANS; MALE; MATHEMATICS; RANDOM ALLOCATION; REACTION TIME; VISUAL PERCEPTION; VOCABULARY;

EID: 0034304675     PISSN: 00961523     EISSN: None     Source Type: Journal    
DOI: 10.1037/0096-1523.26.5.1606     Document Type: Article

References (53)

1. Algom, D., Dekel, A., & Pansky, A. (1996). The perception of number from the separability of the stimulus: The Stroop effect revisited. Memory & Cognition, 24, 557-572.
2. Ashcraft, M. H. (1992). Cognitive arithmetic: A review of data and theory. Cognition, 44, 75-106.
3. Bentin, S., & McCarthy, G. (1994). The effects of immediate stimulus repetition on reaction time and event-related potentials in tasks of different complexity. Journal of Experimental Psychology: Human Perception and Performance, 20, 130-149.
4. Bertelson, P. (1963). S-R relationships and reaction times to new versus repeated signals in a serial task. Journal of Experimental Psychology, 65, 478-484.
5. Bertelson, P. (1965). Serial choice reaction time as a function of response versus signal-and-response repetition. Nature, 206, 217-219.
6. Besner, D., & Coltheart, M. (1979). Ideographic and alphabetic processing in skilled reading of English. Neuropsychologia, 17, 467-472.
7. Birnbaum, M. H., & Jou, J. W. (1990). A theory of comparative response times and "difference" judgments. Cognitive Psychology, 22, 184-210.
8. Blankenberger, S., & Vorberg, D. (1997). The single-format assumption in arithmetic fact retrieval. Journal of Experimental Psychology: Learning, Memory, and Cognition, 23, 721-738.
9. Broadbent, D. E., & Gregory, M. (1962). Human response to classes of stimuli. Nature, 193, 1315-1316.
10. Campbell, K. C., & Proctor, R. W. (1993). Repetition effects with categorizable stimulus and response sets. Journal of Experimental Psychology: Learning, Memory, and Cognition, 19, 1345-1362.
11. Cohen, L., Verstichel, P., & Dehaene, S. (1997). Neologistic jargon sparing numbers: A category-specific phonological impairment. Cognitive Neuropsychology, 14, 1029-1061.
12. Corballis, M. C. (1994). Can commissurotomized subjects compare digits between the visual fields? Neuropsychologia, 32, 1475-1486.
13. Dehaene, S. (1989). The psychophysics of numerical comparison: A reexamination of apparently incompatible data. Perception & Psychophysics, 45, 557-566.
14. Dehaene, S. (1992). Varieties of numerical abilities. Cognition, 44, 1-42.
15. Dehaene, S. (1996). The organization of brain activations in number comparison: Event-related potentials and the additive-factors method. Journal of Cognitive Neuroscience, 8, 47-68.
16. Dehaene, S. (1997). The number sense. How the mind creates mathematics. New York: Oxford University Press.
17. Dehaene, S., & Akhavein, R. (1995). Attention, automaticity, and levels of representation in numerical processing. Journal of Experimental Psychology: Learning, Memory, and Cognition, 21, 314-326.
18. Dehaene, S., & Changeux, J. P. (1993). Development of elementary numerical abilities: A neuronal model. Journal of Cognitive Neurosciences, 5, 390-507.
19. Dehaene, S., & Cohen, L. (1991). Two mental calculation systems: A case study of severe acalculia with preserved approximation. Neuropsychologia, 29, 1045-1074.
20. Dehaene, S., Dehaene-Lambertz, G., & Cohen, L. (1998). Abstract representations of numbers in the animal and the human brain. Trends in Neurosciences, 21, 355-361.
21. Dehaene, S., Dupoux, E., & Mehler, J. (1990). Is numerical comparison digital? Analogical and symbolic effects in two-digit number comparison. Journal of Experimental Psychology: Human Perception and Performance, 16, 626-641.
22. Dehaene, S., Naccache, L., Le Clec'H, G., Koechlin, E., Mueller, M., Dehaene-Lambertz, G., van de Moortele, P.-F., & Le Bihan, D. (1998). Imaging unconscious semantic priming. Nature, 395, 597-600.
23. Dehaene, S., Tzourio, N., Frak, V., Raynaud, L., Cohen, L., Mehler, J., & Mazoyer, B. (1996). Cerebral activations during number multiplication and comparison: A PET study. Neuropsychologia, 34, 1097-1106.
24. Duncan, E. M., & McFarland, C. E. (1980). Isolating the effects of symbolic distance and semantic congruity in comparative judgments: An additive-factors analysis. Memory & Cognition, 8, 612-622.
25. Gallistel, C. R. (1989). Animal cognition. Annual Review of Psychology, 44, 43-74.
26. Gallistel, C. R. (1990). The organization of learning. Cambridge, MA: MIT Press.
27. Gallistel, C. R., & Gelman, R. (1992). Preverbal and verbal counting and computation. Cognition, 44, 43-74.
28. Henik, A., & Tzelgov, J. (1982). Is three greater than five: The relation between physical and semantic size in comparison tasks. Memory & Cognition, 10, 389-395.
29. Hinrichs, J. V., Yurko, D. S., & Hu, J. M. (1981). Two-digit number comparison: Use of place information. Journal of Experimental Psychology: Human Perception and Performance, 7, 890-901.
30. Itsukushima, Y., Tozawa, J., & Itagaki, F. (1990). Representation and retrieval of two-digit numbers in mental comparison. Japanese Psychological Research, 32, 117-127.
31. Koechlin, E., Naccache, L., Block, E., & Dehaene, S. (1999). Primed numbers: Exploring the modularity of numerical representations with masked and unmasked semantic priming. Journal of Experimental Psychology: Human Perception and Performance, 25, 1882-1905.
32. Krueger, L. E., & Hallford, E. W. (1984). Why 2 + 2 = 5 looks so wrong: On the odd-even rule in sum verification. Memory & Cognition, 12, 171-180.
33. Link, S. W. (1990). Modeling imageless thought: The relative judgment theory of numerical comparisons. Journal of Mathematical Psychology, 34, 2-41.
34. Marcel, T., & Forrin, B. (1974). Naming latency and the repetition of stimulus categories. Journal of Experimental Psychology, 103, 450-460.
35. McCloskey, M. (1992). Cognitive mechanisms in numerical processing: Evidence from acquired dyscalculia. Cognition, 44, 107-157.
36. Meuter, R. F. I., & Allport, A. (1999). Bilingual language switching in naming: Asymmetrical costs of language selection. Journal of Memory and Language, 40, 25-40.
37. Moyer, R. S., & Landauer, T. K. (1967). Time required for judgements of numerical inequality. Nature, 215, 1519-1520.
38. Otten, L. J., Sudevan, P., Logan, G. D., & Coles, M. G. H. (1996). Magnitude vs. parity in numerical judgements: Event-related brain potentials implicate response conflict as the source of interference. Acta Psychologica, 94, 21-40.
39. Pansky, A., & Algom, D. (1999). Scroop and Garner effects in comparative judgment of numerals: The role of attention. Journal of Experimental Psychology: Learning, Memory, and Cognition, 25, 39-58.
40. Pashler, H., & Baylis, G. (1991). Procedural learning: 2. Intertrial repetition effects in speeded-choice tasks. Journal of Experimental Psychology: Learning, Memory, and Cognition, 17, 33-48.
41. Peeke, S. C., & Stone, G. C. (1972). Sequential effects in two-and four-choice tasks. Journal of Experimental Psychology, 92, 111-116.
42. Poltrock, S. E. (1989). A random walk model of digit comparison. Journal of Mathematical Psychology, 33, 131-162.
43. Rabbitt, P. M. A. (1968). Repetition effects and signal classification strategies in serial choice-response tasks. Quarterly Journal of Experimental Psychology, 20, 232-240.
44. Radeau, M., Besson, M., Fonteneau, E., & Castro, S. L. (1998). Semantic, repetition, and rime priming between spoken words: Behavioral and electrophysiological evidence. Biological Psychology, 48, 183-204.
45. Schwarz, W. (1994). Random walk models of digit comparison: Some problems and a solution. In G. H. Fischer & D. R. J. Laming (Eds.), Contributions to mathematical psychology, psychometrics, and methodology (pp. 195-205). New York: Springer.
46. Schwarz, W., & Heinze, H.-J. (1998). On the interaction of numerical and size comparison: A behavioral and event-related potential study. Neuropsychologia, 36, 1167-1179.
47. Schwarz, W., & Stein, F. (1998). On the temporal dynamics of digit comparison processes, Journal of Experimental Psychology: Learning, Memory, and Cognition, 24, 1275-1293.
48. Sekuler, R., & Mierkiewicz, D. (1977). Children's judgments of numerical inequality. Child Development, 48, 630-633.
49. Sekuler, R., Rubin, E., & Armstrong, R. (1971). Processing numerical information: A choice time analysis. Journal of Experimental Psychology, 90, 75-80.
50. Smith, M. C. (1968). Repetition effect and short-term memory. Journal of Experimental Psychology, 77, 435-439.
51. Sudevan, P., & Taylor, D. A. (1987). The cuing and priming of cognitive operations. Journal of Experimental Psychology: Human Perception and Performance, 13, 89-103.
52. Takahashi, A., & Green, D. W. (1983). Numerical judgments with Kanji and Kana. Neuropsychologia, 21, 259-263.
53. Tzelgov, J., Meyer, J., & Henik, A. (1992). Automatic and intentional processing of numerical information. Journal of Experimental Psychology: Learning, Memory, and Cognition, 18, 166-179.