Comparing arithmetic and semantic fact retrieval: Effects of problem size and sentence constraint on event-related brain potentials

Psychophysiology

Volumn 41, Issue 1, 2004, Pages 46-59

  Jost, Kerstin ^a   Hennighausen, Erwin ^a   Rösler, Frank ^a  

^a PHILIPPS UNIVERSITY MARBURG   (Germany)

Author keywords

Arithmetic N400 effect; Event related potentials; Memory access; Mental calculation; Problem size effect; Semantic N400 effect

Indexed keywords

ADULT; ARITHMETIC; ARTICLE; ASSOCIATION; ELECTRODE; ELECTROENCEPHALOGRAM; EVENT RELATED POTENTIAL; FEMALE; HUMAN; HUMAN EXPERIMENT; MALE; MEMORY; MENTAL TASK; NERVE CELL NETWORK; NORMAL HUMAN; PARIETAL LOBE; PRIORITY JOURNAL; PROBLEM SOLVING; SEMANTICS; TEMPORAL LOBE;

EID: 1142274602     PISSN: 00485772     EISSN: None     Source Type: Journal    
DOI: 10.1111/1469-8986.00119_41_1     Document Type: Article

References (71)

1. Anderson, J. E., & Holcomb, P. J. (1995). Auditory and visual semantic priming using different stimulus onset asynchronies: An event-related brain potential study. Psychophysiology, 32, 177-190.
2. Ashcraft, M. H. (1982). The development of mental arithmetic: A chronometric approach. Developmental Review, 2, 213-236.
3. Ashcraft, M. H. (1987). Children's knowledge of simple arithmetic: A developmental model and simulation. In C.J. Brainerd, R. Kail, & J. Bisanz (Eds.), Formal methods in developmental research (pp. 302-338). New York: Springer.
4. Ashcraft, M. H. (1992). Cognitive arithmetic: A review of data and theory. Cognition, 44, 75-106.
5. Ashcraft, M. H. (1995). Cognitive psychology and simple arithmetic: A review and summary of new directions. Mathematical Cognition, 1, 3-34.
6. Barrett, S. E., & Rugg, M. D. (1989). Event-related potentials and the semantic matching of faces. Neuropsychologia, 27, 913-922.
7. Bentin, S., McCarthy, G., & Wood, C. C. (1985). Event-related potentials, lexical decision and semantic priming. Electroencephalography and Clinical Neurophysiology, 60, 343-355.
8. Blankenberger, S. (2001). The arithmetic tie effect is mainly encoding-based. Cognition, 82, B15-B24.
9. Brown, C., & Hagoort, P. (1993). The processing nature of the N400: Evidence from masked printing. Journal of Cognitive Neuroscience, 5, 34-44.
10. Brysbaert, M. (1995). Arabic number reading: On the nature of the numerical scale and the origin of phonological recoding. Journal of Experimental Psychology: General, 124, 434-452.
11. Campbell, J. I. D. (1987a). Network interference and mental multiplication. Journal of Experimental Psychology: Learning, Memory, and Cognition, 13, 109-123.
12. Campbell, J. I. D. (1987b). Production, verification, and priming of multiplication facts. Memory and Cognition, 15, 349-364.
13. Campbell, J. I. D. (1995). Mechanisms of simple addition and multiplication: A modified network-interference theory and simulation. Mathematical Cognition, 1, 121-164.
14. Campbell, J. I. D., & Fugelsang, J. (2001). Strategy choice for arithmetic verification: Effects of numerical surface form. Cognition, 80, B21-B30.
15. Campbell, J. I. D., & Graham, D. J. (1985). Mental multiplication skill: Structure, process and acquisition. Canadian Journal of Psychology, 39, 338-366.
16. Campbell, J. I. D., & Oliphant, M. (1992). Representation and retrieval of arithmetic facts: A network-interference model and simulation. In J. I. D. Campbell (Ed.), The nature and origins of mathematical skills (pp. 331-364). Amsterdam: Elsevier.
17. Campbell, J. I. D., & Tarring, D. P. M. (1996). Retrieval processes in arithmetic production and verification. Memory and Cognition, 24, 156-172.
18. Centre for Lexical Information (1995). The CELEX lexical database (Release 2 ed.). Nijmegen: Centre for Lexical Information. Max Planck Institute for Psycholinguistics.
19. Chwilla, D. J. (1996). Electrophysiology of word processing: The lexical processing nature of the N400 priming effect. Zutphen, The Netherlands: Koninklije Wöhrmann.
20. Collins, A. M., & Loftus, E. F. (1975). A spreading activation theory of semantic processing. Psychological Review. 82, 407-428.
21. Dehaene, S. (1989). The psychophysics of numerical comparison: A re-examination of apparently incompatible data. Perception and Psychophysics, 45, 557-566.
22. Dehaene, S. (2000). Cerebral bases of number processing and calculation. In M. Gazzaniga (Ed.), The new cognitive neurosciences (pp. 987-998). Cambridge, MA: MIT Press.
23. Dehaene, S., & Cohen, L. (1995). Towards an anatomical and functional model of number processing. Mathematical Cognition, 1, 83-120.
24. 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.
25. Donchin, E., & Cotes, M. G. (1988). Is the P300 component a manifestation of context updating? Behavioral and Brain Sciences, 11, 357-427.
26. Federmeier, K. D., & Kutas, M. (1999). A rose by any other name: Long-term memory structure and sentence processing. Journal of Memory and Language, 41, 469-495.
27. Fischler, I., & Bloom, P. A. (1979). Automatic and attentional processes in the effects of sentence contexts on word recognition. Journal of Verbal Learning and Verbal Behavior, 18, 1-20.
28. Greenhouse, W. W., & Geisser, S. (1959). On methods in the analysis of profile data. Psychometrika, 24, 95-112.
29. Hennighausen, E., Heil, M., & Rösler, F. (1993). A correction method for DC drift artifacts. Electroencephalography and Clinical Neurophysiology, 86, 199-204.
30. Holcomb, P. H., Kounios, J., Anderson, J. E., & West, C. (1999). Dual coding, context availability, and concreteness effects in sentence comprehension: An electrophysiological investigation. Journal of Experimental Psychology: Learning, Memory, and Cognition, 25, 721-742.
31. Holcomb, P. J., & McPherson, W. B. (1994). Event-related potentials reflect semantic priming in an object decision task. Brain and Cognition, 24, 259-276.
32. Jasper, H. H. (1958). The ten-twenty electrode system of the International Federation. Electroencephalography and Clinical Neurophysiology, 10, 371-375.
33. Johnson, R. (1986). A triarchic model of P300 amplitude. Psychophysiology, 23, 367-384.
34. Jost, K., Beinhoff, U., Hennighausen, E., & Rösler, F. (2003). Facts, rules, and strategies in single-digit multiplication: Evidence from event-related brain potentials. Manuscript submitted for publication.
35. Khader, P., Scherag, A., Streb, J., & Rösler, F. (2003). Differences between noun and verb processing in a minimal phrase context: A semantic priming study using event-related brain potentials. Cognitive Brain Research, 17, 293-313.
36. Kiefer, M., & Dehaene, S. (1997). The time course of parietal activation in single-digit multiplication: Evidence from event-related potentials. Mathematical Cognition, 3, 1-30.
37. Kiefer, M., & Spitzer, M. (2000). Time course of conscious and unconscious semantic brain activations. NeuroReport, 11, 2401-2407.
38. Kounios, J., & Holcomb, P. J. (1994). Concreteness effects in semantic processing: ERP evidence supporting dual-coding theory. Journal of Experimental Psychology: Learning, Memory, and Cognition, 20, 804-823.
39. Kutas, M., & Federmeier, K. D. (2000). Electrophysiology reveals semantic memory use in language comprehension. Trends in Cognitive Sciences, 4, 463-470.
40. Kutas, M., & Hillyard, S. A. (1980). Reading senseless sentences: Brain potentials reflect semantic incongruity. Science, 207, 203-205.
41. Kutas, M., & Hillyard, S. A. (1983). Event-related brain potentials to grammatical errors and semantic anomalies. Memory and Cognition, 11, 539-550.
42. Kutas, M., & Hillyard, S. A. (1984). Brain potentials during reading reflect word expectancy and semantic association. Nature, 307, 161-163.
43. Kutas, M., & Van Petten, C. (1988). Event-related brain potential studies of language. In P. K. Ackles, J. R. Jennings, & M. G. H. Coles (Eds.), Advances in psychophysiology (Vol. 3, pp. 139-187). Greenwich, CT: JAI Press.
44. Kutas, M., & Van Petten, C. (1994). Psycholinguistic electrified: Event-related brain potential investigations. In M. A. Gernsbacher (Ed.), Handbook of pycholinguistics (pp. 83-143). San Diego: Academic Press.
45. Kutas, M., Van Petten, C., & Besson, M. (1988). Event-related potential asymmetries during the reading of sentences. Electroencephalography and Clinical Neurophysiology, 69, 218-233.
46. LeFevre, J., Bisanz, J., Daley, K. E., Buffone, L., Greenham, S. L., & Sadesky, G. S. (1996). Multiple routes to solution of single-digit multiplication problems. Journal of Experimental Psychology: General, 125, 284-306.
47. LeFevre, J., Sadesky, G. S., & Bisanz, J. (1996). Selection of procedures in mental addition: Reassessing the problem size effect in adults. Journal of Experimental Psychology: Learning, Memory, and Cognition, 22, 216-230.
48. Lemaire, P., & Siegler, R. (1995). Four aspects of strategic change: Contributions to children's learning of multiplication. Journal of Experimental Psychology: General, 124, 83-97.
49. McCarthy, G., & Wood, C. C. (1985). Scalp distributions of event-related potentials: An ambiguity associated with analysis of variance models. Electroencephalography and Clinical Neurophysiology, 62, 203-208.
50. McCloskey, M., Harley, W., & Sokol, S. M. (1991). Models of arithmetic fact retrieval: An evaluation in light of findings from normal and brain-damaged subjects. Journal of Experimental Psychology: Learning, Memory, and Cognition, 17, 377-397.
51. McPherson, W. B., & Holcomb, P. J. (1999). An electrophysiological investigation of semantic priming with pictures of real objects. Psychophysiology, 36, 53-65.
52. Miller, K., Perlmutter, M., & Keating, D. (1984). Cognitive arithmetic: Comparison of operations. Journal of Experimental Psychology: Learning, Memory, and Cognition, 10, 46-60.
53. Niedeggen, M., & Rösler, F. (1999). N400 effects reflect activation spread during retrieval of arithmetic facts. Psychological Science, 10, 271-276.
54. Niedeggen, M., Rösler, F., & Jost, K. (1999). Processing of incongruous mental calculation problems: Evidence for an arithmetic N400-effect. Psychophysiology, 36, 1-18.
55. Nigam, A., Hoffman, J. E., & Simons, R. F. (1992). N400 to semantically anomalous pictures and words. Journal of Cognitive Neuroscience, 4, 15-22.
56. Parkman, J. M. (1972). Temporal aspects of simple multiplication and comparison. Journal of Experimental Psychology, 95, 437-444.
57. Rolke, B., Hell, M., Streb, J., & Hennighausen, E. (2001). Missed prime words within the attentional blink evoke an N400 semantic priming effect. Psychophysiology, 38, 165-174.
58. Rösler, F., Friederici, A., Pütz, P., & Hahne, A. (1993). Event-related brain potentials while encountering semantic and syntactic constraint violations. Journal of Cognitive Neuroscience, 5, 345-362.
59. Rösler, F., & Hahne, A. (1992). Hirnelektrische Korrelate des Sprachverstehens: Zur psycholinguistischen Bedeutung der N400-Komponente im EEG. Sprache & Kognition, 11, 149-161.
60. Rösler, F., Streb, J., & Haan, H. (2001). Event-related brain potentials evoked by verbs and nouns in a primed lexical decision task. Psychophysiology, 38, 694-703.
61. Rugg, M. D., & Coles, M. G. H. (Eds.). (1995). Electrophysiology of mind: Event-related brain potentials and cognition. Oxford: Oxford University Press.
62. Schwanenflugel, P. J., & Shoben, E. J. (1985). The influence of sentence constraint on the scope of facilitation for upcoming words. Journal of Memory and Language, 24, 232-252.
63. Siegler, R. S. (1988). Strategy choice procedures and the development of multiplication skill. Journal of Experimental Psychology: General, 117, 258-275.
64. Siegler, R. S., & Shrager, J. (1984). A model of strategy choice. In C. Sophian (Ed.), Origins of cognitive skills (pp. 229-293). Hillsdale, NJ: Erlbaum.
65. Sokol, S. M., McCloskey, M., Cohen, N. J., & Aliminosa, D. (1991). Cognitive representations and processes in arithmetic: Evidence from the performance of brain-damaged patients. Journal of Experimental Psychology: Learning, Memory, and Cognition, 17, 355-376.
66. Stazyk, E. H., Ashcraft, M. H., & Hamann, M. S. (1982). A network approach to mental multiplication. Journal of Experimental Psychology: Learning, Memory, and Cognition, 8, 320-335.
67. Urbach, T. P., & Kutas, M. (2002). The intractability of scaling scalp distributions to infer neuroelectric sources. Psychophysiology, 39, 791-808.
68. Van Petten, C., & Kutas, M. (1990). Interactions between sentence context and word frequency in event-related brain potentials. Memory and Cognition, 18, 380-393.
69. Van Petten, C., & Rheinfelder, H. (1995). Conceptual relationships between spoken words and environmental sounds: Event-related brain potential measures. Neuropsychologia, 33, 485-508.
70. West, C., & Holcomb, P. J. (2000). Imaginal, semantic, and surface-level processing of concrete and abstract words: An electrophysiological investigation. Journal of Cognitive Neuroscience, 12, 1024-1037.
71. Zbrodoff, N. J., & Logan, G. D. (1990). On the relation between production and verification tasks in the psychology of simple arithmetic. Journal of Experimental Pschology: Learning, Memory, and Cognition, 16, 83-97.