Event-related brain potentials uncover activation dynamics in the lexicon of multiplication facts

Cortex

Volumn 45, Issue 10, 2009, Pages 1167-1177

  Galfano, Giovanni ^a   Penolazzi, Barbara ^a   Vervaeck, Ineke ^b   Angrilli, Alessandro ^a   Umiltà, Carlo ^a  

^a UNIVERSITY OF PADOVA   (Italy)

^b GHENT UNIVERSITY   (Belgium)

Author keywords

Cognitive arithmetic; ERPs; Multiplication lexicon; N400; Spreading activation

Indexed keywords

ADULT; ARITHMETIC; ARTICLE; ASSOCIATION; BLINKING; BRAIN CORTEX; BRAIN FUNCTION; CONTROLLED STUDY; DECISION MAKING; ELECTROENCEPHALOGRAPHY; EVENT RELATED POTENTIAL; EYE FIXATION; FEMALE; HUMAN; HUMAN EXPERIMENT; INFORMATION PROCESSING; MALE; MATHEMATICAL ANALYSIS; NORMAL HUMAN; STIMULUS RESPONSE; TASK PERFORMANCE; VISUAL STIMULATION;

ADULT; ANALYSIS OF VARIANCE; ATTENTION; BRAIN; CUES; DISCRIMINATION LEARNING; ELECTROENCEPHALOGRAPHY; EVOKED POTENTIALS; FEMALE; HUMANS; MALE; MATHEMATICAL CONCEPTS; MENTAL RECALL; PHOTIC STIMULATION; PSYCHOMOTOR PERFORMANCE; REACTION TIME; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 69549086573     PISSN: 00109452     EISSN: 00109452     Source Type: Journal    
DOI: 10.1016/j.cortex.2008.09.003     Document Type: Article

References (49)

1. Ashcraft M.H. Children's knowledge of simple arithmetic: a developmental model and simulation. In: Brainerd C.J., Kail R., and Bisanz J. (Eds). Formal Methods in Developmental Psychology: Progress in Cognitive Development Research (1987), Springer-Verlag, New York 302-338
2. Ashcraft M.H., and Battaglia J. Cognitive arithmetic: evidence for retrieval and decision processes in mental addition. Journal of Experimental Psychology: Human Learning and Memory 4 (1978) 527-538
3. Barber H.A., and Kutas M. Interplay between computational models and cognitive electrophysiology in visual word recognition. Brain Research Reviews 53 (2007) 98-123
4. Campbell J.I.D. Mechanisms of simple addition and multiplication: a modified network interference theory and simulation. Mathematical Cognition 1 (1995) 121-164
5. Campbell J.I.D., and Robert N.D. Bidirectional associations in multiplication memory: conditions of negative and positive transfer. Journal of Experimental Psychology: Learning, Memory, and Cognition 34 (2008) 546-555
6. Collins A.M., and Loftus E.F. A spreading activation theory of semantic processing. Psychological Review 82 (1975) 407-428
7. Dehaene S., and Akhavein R. Attention, automaticity, and levels of representation in number processing. Journal of Experimental Psychology: Learning, Memory, and Cognition 21 (1995) 314-326
8. Dehaene S., Molko N., Cohen L., and Wilson A.J. Arithmetic and the brain. Current Opinion in Neurobiology 14 (2004) 218-224
9. Delazer M., Karner E., Zamarian L., Donnemiller E., and Benke T. Number processing in posterior cortical atrophy - a neuropsychological case study. Neuropsychologia 44 (2006) 36-51
10. El Yagoubi R., Lemaire P., and Besson M. Different brain mechanisms mediate two strategies in arithmetic: evidence from event-related brain potentials. Neuropsychologia 41 (2003) 855-862
11. Galfano G., Rusconi E., and Umiltà C. Automatic activation of multiplication facts: evidence from the nodes adjacent to the product. Quarterly Journal of Experimental Psychology 56A (2003) 31-61
12. Galfano G., Mazza V., Angrilli A., and Umiltà C. Electrophysiological correlates of stimulus-driven multiplication facts retrieval. Neuropsychologia 42 (2004) 1370-1382
13. Hecht S.A. Individual solution processes while solving addition and multiplication math facts in adults. Memory and Cognition 27 (1999) 1097-1107
14. Huynh H., and Feldt L.S. Conditions under which mean square ratios in repeated measurements designs have exact F-distribution. Journal of the American Statistical Association 65 (1970) 1582-1589
15. Jost K., Henninghausen E., and Rösler F. Comparing arithmetic and semantic fact retrieval: effects of problem size and sentence constraint on event-related brain potentials. Psychophysiology 41 (2004) 46-59
16. Jost K., Beinhoff U., Henninghausen E., and Rösler F. Facts, rules, and strategies in single-digit multiplication: evidence from event-related brain potentials. Cognitive Brain Research 20 (2004) 183-193
17. Kiefer M., and Brendel D. Attentional modulation of unconscious "automatic" processes: evidence from event-related potentials in a masked priming paradigm. Journal of Cognitive Neuroscience 18 (2006) 184-198
18. Kreher D.A., Holcomb P.J., and Kuperberg G.R. An electrophysiological investigation of indirect semantic priming. Psychophysiology 43 (2006) 550-563
19. Krueger L.E. Why 2 × 2 = 5 looks so wrong: on the odd-even rule in product verification. Memory and Cognition 14 (1986) 141-149
20. Kutas M., and Hillyard S.A. Reading senseless sentences: brain potentials reflect semantic incongruity. Science 207 (1980) 203-205
21. Lemaire P., and Reder L. What affects strategy selection in mental arithmetic? An example of parity and five effects on product verification. Memory and Cognition 27 (1999) 364-382
22. LeFevre J.-A., and Kulak A.G. Individual differences in the obligatory activation of addition facts. Memory and Cognition 22 (1994) 188-200
23. LeFevre J.-A., Bisanz J., and Mrkonjic L. Cognitive arithmetic: evidence for obligatory activation of arithmetic facts. Memory and Cognition 16 (1988) 45-53
24. LeFevre J.-A., Kulak A.G., and Bisanz J. Individual differences and developmental change in the associative relations among numbers. Journal of Experimental Child Psychology 52 (1994) 256-274
25. LeFevre J.-A., Bisanz J., Daley K.E., Buffone L., Greenham S.L., and Sadesky G.S. Multiple routes to solution of single-digit multiplication problems. Journal of Experimental Psychology: General 125 (1996) 216-230
26. Martín-Loeches M., Casado P., Gonzalo R., De Heras L., and Fernández-Frías C. Brain-potentials to mathematical syntax problems. Psychophysiology 43 (2006) 579-591
27. McCloskey M. Cognitive mechanisms in numerical processing: evidence from acquired dyscalculia. Cognition 44 (1992) 107-157
28. McCloskey M., Aliminosa D., and Sokol S. Facts, rules, ad procedures in normal calculation: evidence from multiple single-patient studies of impaired arithmetic fact retrieval. Brain and Cognition 17 (1991) 154-203
29. Niedeggen M., and Rösler F. N400 effects reflect activation spread during retrieval of arithmetic facts. Psychological Science 10 (1999) 271-276
30. Niedeggen M., Rösler F., and Jost K. Processing of incongruous mental calculation problems: evidence for an arithmetic N400 effect. Psychophysiology 36 (1999) 307-324
31. Núñez-Peña M.I., and Escera C. An event-related brain potential study of the arithmetic split effect. International Journal of Psychophysiology 64 (2007) 164-173
32. Núñez-Peña M.I., Cortiñas M., and Escera C. Problem size effect and processing strategies in mental arithmetic. NeuroReport 17 (2006) 357-360
33. Oostenveld R., and Praamstra P. The five percent electrode system for high-resolution EEG and ERP measurements. Clinical Neurophysiology 112 (2001) 713-719
34. Penolazzi B., Hauk O., and Pulvermüller F. Early semantic context integration and lexical access as revealed by event-related brain potentials. Biological Psychology 74 (2007) 374-388
35. Rickard T.C. A revised identical elements model of arithmetic facts representation. Journal of Experimental Psychology: Learning, Memory, and Cognition 31 (2005) 250-257
36. Rolke B., Heil M., Streb J., and Henninghausen E. Missed prime words within the attentional blink evoke an N400 semantic priming effect. Psychophysiology 38 (2001) 165-174
37. Rusconi E., Galfano G., Speriani V., and Umiltà C. Capacity and contextual constraints on product activation: evidence form task-irrelevant fact retrieval. Quarterly Journal of Experimental Psychology 57A (2004) 1485-1511
38. Rusconi E., Galfano G., Rebonato E., and Umiltà C. Bidirectional links in the network of multiplication facts. Psychological Research 70 (2006) 32-42
39. Rusconi E., Priftis K., Rusconi M.L., and Umiltà C. Arithmetic priming from neglected numbers. Cognitive Neuropsychology 23 (2006) 227-239
40. Spironelli C., and Angrilli A. Influence of phonological, semantic and orthographic tasks on the early linguistic components N150 and N350. International Journal of Psychophysiology 64 (2007) 190-198
41. Sternberg S. Memory-scanning: mental processes revealed by reaction-time experiments. American Scientist 57 (1969) 421-457
42. Szücs D., and Csépe V. The effect of numerical distance and stimulus probability on ERP components elicited by numerical incongruencies in mental addition. Cognitive Brain Research 22 (2005) 289-300
43. Thibodeau M.H., LeFevre J.-A., and Bisanz J. The extension of the interference effect to multiplication. Canadian Journal of Experimental Psychology 50 (1996) 393-396
44. Verguts T., and Fias W. Interacting neighbors: a connectionist model of retrieval in single-digit multiplication. Memory and Cognition 33 (2005) 1-16
45. Wang Y., Kong J., Tang X., Zhuang D., and Li S. Event-related potential N270 is elicited by mental conflict processing in human brain. Neuroscience Letters 293 (2000) 17-20
46. Weisbrod M., Kiefer M., Winkler S., Maier S., Hill H., Roesch-Ely D., et al. Electrophysiological correlates of direct versus indirect semantic priming in normal volunteers. Cognitive Brain Research 8 (1999) 289-298
47. Zamarian L., Karner E., Benke T., Donnemiller E., and Delazer M. Knowing 7 × 8, but not the meaning of "elephant": evidence for the dissociation between numerical and non-numerical semantic knowledge. Neuropsychologia 44 (2006) 1708-1723
48. Zamarian L., Stadelmann E., Nürk H.-C., Gamboz N., Marksteiner J., and Delazer M. Effects of age and mild cognitive impairment on direct and indirect access to arithmetic knowledge. Neuropsychologia 45 (2007) 1511-1521
49. Zhou X., Chen C., Zhang H., Chen C., Zhou R., and Dong Q. The operand-order effect in single-digit multiplication. Neuroscience Letters 414 (2007) 41-44