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| Neighborhood consistency in simple multiplication mental arithmetic：Evidence from ERP study |
| SHEN Ji1, CHEN Lijuan2, JIA Liangzhi2, PAN Yun2 |
1 Bijie Medical College, Bijie 551700;
2 School of Psychology, Guizhou Normal University, Guiyang 550025 |
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Abstract The errors of simple multiplication are mainly shown in whether the probes are related to the operands （relatedness） or whether the same decades are shared with the correct result （consistency）. This study used a delayed verification paradigm and event-related potential technique to investigate the effects of relatedness and consistency in simple multiplication mental arithmetic for 30 college students in an experiment of presenting arithmetic answers in auditory channels. The results showed that the interaction between relatedness and consistency was significant, compared to the related inconsistent lures, the related consistent lures showed significantly faster reaction time and induced significantly large amplitudes of N400 and late positive component （LPC）. The research showed that the lures related to multipliers and sharing the same decades with the correct results could promote the judgment of multiplication mental arithmetic, and support the interacting neighbors model.
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[1] Ashcraft, M. H. (1992). Cognitive arithmetic: A review of data and theory.Cognition, 44(1-2), 75-106.
[2] Ashcraft, M. H., & Stazyk, E. H. (1981). Menatal addition: A test of three verification models.Memory & Cognition, 9(2), 185-196.
[3] Berch, D. B. (2005). Making sense of number sense.Journal of Learning Disabilities, 38(4), 333-339.
[4] Bourne, P. P. L. E., & Birbaumer, N. (1998). Extensive practice in mental arithmetic and practice transfer over a ten-month retention interval.Mathematical Cognition, 4(1), 21-46.
[5] Campbell, J. I. D. (1987). Network interference and mental multiplication.Journal of Experimental Psychology: Learning, Memory, and Cognition, 13(1), 109-123.
[6] Campbell, J. I. D. (1997). On the relation between skilled performance of simple division and multiplication.Journal of Experimental Psychology: Learning, Memory, and Cognition, 23(5), 1140-1159.
[7] Campbell, J. I. D., & Metcalfe, A. W. S. (2007). Arithmetic rules and numeral format.European Journal of Cognitive Psychology, 19(3), 335-355.
[8] Campbell, J. I. D., & Thompson, V. A. (2012). Retrieval-induced forgetting of arithmetic facts.Journal of Experimental Psychology: Learning, Memory, and Cognition, 38(1), 118-129.
[9] Campbell J. I. D., Dowd R. R., Frick J. M., McCallum K. N., & Metcalfe, A. W. S. (2011). Neighborhood consistency and memory for number facts.Memory & Cognition, 39(5), 884-893.
[10] Cárdenas S. Y., Silva-Pereyra J., Prieto-Corona B., Castro-Chavira S. A., & Fernández T. (2021). Arithmetic processing in children with dyscalculia: An event-related potential study.PeerJ, 9, e10489.
[11] Chen, E. H., & Bailey, D. H. (2021). Dual-task studies of working memory and arithmetic performance: A meta-analysis.Journal of Experimental Psychology: Learning, Memory, and Cognition, 47(2), 220-222.
[12] Chiera A., Adornetti I., Altavilla D., Acciai A., Cosentino E., Deriu V., McCarroll C., Nicchiarelli S., Preziotti V., & Ferretti F. (2022). Does the character-based dimension of stories impact narrative processing? An event-related potentials (ERPs) study.Cognitive Processing, 23(2), 255-267.
[13] Dickson, D. S., & Federmeier, K. D. (2017). The language of arithmetic across the hemispheres: An event-related potential investigation. Brain Research, 1662, 46-56.
[14] Dickson D. S., Cerda V. R., Beavers R. N., Ruiz A., Castañeda R., & Wicha N. Y. (2018). When 2×4 is meaningful: The N400 and P300 reveal operand format effects in multiplication verification.Psychophysiology, 55(11), e13212.
[15] Domahs, F., & Delazer, M. (2005). Some assumptions and facts about arithmetic facts.Psychology Science, 47(1), 96-111.
[16] Domahs F., Delazer M., & Nuerk H. (2006). What makes multiplication facts difficult.Experimental Psychology, 53(4), 275-282.
[17] Domahs F., Domahs U., Schlesewsky M., Ratinckx E., Verguts T., Willmes K., & Nuerk H. C. (2007). Neighborhood consistency in mental arithmetic: Behavioral and ERP evidence.Behavioral and Brain Functions, 3(1), 1-13.
[18] Duncan-Johnson, C., & Kopell, B. (1981). The stroop effect: Brain potentials localize the source of interference.Science, 214, 938-940.
[19] Faul F., Erdfelder E., Buchner A., & Lang A.-G. (2009). Statistical power analyses using G*Power 3.1: Tests for correlation and regression analyses.Behavior Research Methods, 41(4), 1149-1160.
[20] Finke S., Kemény F., Clayton F. J., Banfi C., Steiner A. F., Perchtold-Stefan C. M., Papousek I., Göbel S. M., & Landerl K. (2021). Cross-format integration of auditory number words and visual-arabic digits: An ERP study.Frontiers in Psychology, 12, 765709.
[21] Gallo D. A., McDermott K. B., Percer J. M., & Roediger H. L. (2001). Modality effects in false recall and false recognition.Journal of Experimental Psychology: Learning, Memory, and Cognition, 27(2), 339-353.
[22] Guthormsen A. M., Fisher K. J., Bassok M., Osterhout L., DeWolf M., & Holyoak K. J. (2016). Conceptual integration of arithmetic operations with real-world knowledge: Evidence from event-related potentials.Cognitive Science, 40(3), 723-757.
[23] Heidekum A. E., Grabner R. H., De Smedt B., De Visscher A., & Vogel S. E. (2019). Interference during the retrieval of arithmetic and lexico-semantic knowledge modulates similar brain regions: Evidence from functional magnetic resonance imaging (fMRI).Cortex, 120, 375-393.
[24] Holcomb, P. J. (1993). Semantic priming and stimulus degradation: Implications for the role of the N400 in language processing.Psychophysiology, 30(1), 47-61.
[25] Imbo I., Vandierendonck A., & De Rammelaere S. (2007). The role of working memory in the carry operation of mental arithmetic: Number and value of the carry.Quarterly Journal of Experimental Psychology, 60(5), 708-731.
[26] Jasinski, E. C., & Coch, D. (2012). ERPs across arithmetic operations in a delayed answer verification task.Psychophysiology, 49(7), 943-958.
[27] Kutas, M., & Hillyard, S. A. (1980). Reading senseless sentences: Brain potentials reflect semantic incongruity.Science, 207(4427), 203-205.
[28] Lemaire, P., & Fayol, M. (1995). When plausibility judgments supersede fact retrieval: The example of the odd-even effect on product verification.Memory & Cognition, 23(1), 34-48.
[29] Liu R., Schunn C. D., Fiez J. A., & Libertus M. E. (2018). The integration between nonsymbolic and symbolic numbers: Evidence from an EEG study.Brain and Behavior, 8(4), e00938.
[30] McCarthy, G., & Donchin, E. (1981). A metric for thought: A comparison of P300 latency and reaction time.Science, 211(4477), 77-80.
[31] Morris C. D., Bransford J. D., & Franks J. J. (1977). Levels of processing versus transfer appropriate processing.Journal of Verbal Learning and Verbal Behavior, 16(5), 519-533.
[32] Muller, Keith (1989). Statistical power analysis for the behavioral sciences.Technometrics, 31(4), 499-500.
[33] Muluh E. T., Vaughan C. L., & John L. R. (2011). High resolution event-related potentials analysis of the arithmetic-operation effect in mental arithmetic.Clinical Neurophysiology, 122(3), 518-529.
[34] Niedeggen, M., & Rösler, F. (1999). N400 effects reflect activation spread during retrieval of arithmetic facts.Psychological Science, 10(3), 271-276.
[35] Pierce B. H., Gallo D. A., Weiss J. A., & Schacter D. L. (2005). The modality effect in false recognition: Evidence for test-based monitoring.Memory & Cognition, 33(8), 1407-1413.
[36] Polich, J. (2012). Neuropsychology of P300. In S. J. Luck, & E. S. Kappenman (Eds.). Oxford handbook of event-related potential components(pp. 159-188). Oxford University Press.
[37] Rezaei, M. (2019). Neuropsychological decomposing stroop interference into different cognitive monitoring: An exploratory factor analysis.Basic and Clinical Neuroscience, 10(5), 475-483.
[38] Rhodes, S. M., & Donaldson, D. I. (2008). Electrophysiological evidence for the effect of interactive imagery on episodic memory: Encouraging familiarity for non-unitized stimuli during associative recognition.NeuroImage, 39(2), 873-884.
[39] Roediger, III, H. L., & Guynn, M. J. (1996). Retrieval processes. Memory, 197-236.
[40] Rotem, A., & Henik, A. (2015). Sensitivity to general and specific numerical features in typical achievers and children with mathematics learning disability.Quarterly Journal of Experimental Psychology, 68(11), 2291-2303.
[41] Salillas, E., & Wicha, N. Y. (2012). Early learning shapes the memory networks for arithmetic: Evidence from brain potentials in bilinguals.Psychological Science, 23(7), 745-755.
[42] Swaab T. Y., Ledoux K., Camblin C. C., & Boudewyn, M. A. (2012). Language-related ERP components. In S. J. Luck & E. S. Kappenman (Eds.), The Oxford handbook of event-related potential components(pp. 397-439). Oxford University Press.
[43] Tanner D., Morgan-Short K., & Luck S. J. (2015). How inappropriate high-pass filters can produce artifactual effects and incorrect conclusions in ERP studies of language and cognition.Psychophysiology, 52(8), 997-1009.
[44] Tavakoli P., Jerome E., Boafo A., & Campbell K. (2021). Attentional bias deficits in adolescent suicide attempters during an emotional stroop task: An ERP study.Frontiers in Psychiatry, 12, 694147.
[45] Tulving, E., & Thomson, D. M. (1973). Encoding specificity and retrieval processes in episodic memory.Psychological Review, 80(5), 352-373.
[46] Verguts, T., & Fias, W. (2005a). Interacting neighbors: A connectionist model of retrieval in single-digit multiplication.Memory & Cognition, 33(1), 1-16.
[47] Verguts, T., & Fias, W. (2005b). Neighbourhood effects in mental arithmetic.Psychology Science, 47(1), 132-140.
[48] Zhou, X., & Dong, Q. (2003). Representation formats for addition and multiplication facts.Acta Psychologica Sinica, 35(3), 345-351.
[49] Zhou X., Chen C., Zhang H., Chen C., Zhou R., & Dong Q. (2007). The operand-order effect in single-digit multiplication: An ERP study of Chinese adults.Neuroscience Letters, 414(1), 41-44.
[50] Zhu B., Chen C., Shao X., Liu W., Ye Z., Zhuang L., .. & Xue G. (2019). Multiple interactive memory representations underlie the induction of false memory.Proceedings of the National Academy of Sciences, 116(9), 3466-3475. |
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