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The time course of strategy sequential difficulty effects: an ERP study in arithmetic

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Abstract

Uittenhove and Lemaire (Exp Psychol 59(5):295–301, 2012) found that we are slower when executing a strategy following a difficult strategy than when executing the same strategy following an easier strategy (i.e., strategy sequential difficulty effects). Uittenhove and Lemaire suggested that difficult strategies temporarily reduce available executive capacities, interfering with the next strategy execution. In this study, we used ERP to determine the time course of these effects. In a computational estimation task, we found greater cerebral activities during strategy execution following a more difficult compared to an easier strategy. Interestingly, greater cerebral activities were most apparent immediately after the encoding of the problem and not during encoding or in later stages of processing. This suggests that strategy sequential difficulty effects interfere most with the retrieval of procedures in contrast to execution of these procedures. We discuss implications of these findings for further understanding of execution of cognitive strategies.

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References

  • Benau EM, Morris J, Couperus JW (2011) Semantic processing in children and adults: incongruity and the N400. J Psycholinguist Res 40(3):225–239

    Article  PubMed  Google Scholar 

  • Campbell JID (2005) Handbook of mathematical cognition. Psychology Press, New York

    Google Scholar 

  • Dehaene S, Spelke E, Pinel P, Stanescu R, Tsivkin S (1999) Sources of mathematical thinking: behavioral and brain-imaging evidence. Science 284:970–974

    Article  PubMed  CAS  Google Scholar 

  • Delorme A, Makeig S (2004) EEGLAB: an open source toolbox for analysis of single-trial EEG dynamics including independent component analysis. J neurosci methods 134(1):9–21

    Article  PubMed  Google Scholar 

  • Deschuyteneer M, Vandierendonck A (2005) The role of response selection and input monitoring in solving simple arithmetical products. Mem Cogn 33(8):1472–1483

    Article  Google Scholar 

  • El Yagoubi R, Lemaire P, Besson M (2003) Different brain mechanisms mediate two strategies in arithmetic: evidence from event-related brain potentials. Neuropsychologia 41:855–862

    Article  PubMed  Google Scholar 

  • Grabner RH, De Smedt B (2011) Neurophysiological evidence for the validity of verbal strategy reports in mental arithmetic. Biol Psychol 87(1):128–136

    Article  PubMed  Google Scholar 

  • Hodzik S, Lemaire P (2011) Inhibition and shifting capacities mediate adults’ age-related differences in strategy selection and repertoire. Acta Psychol 137(3):335–344

    Article  CAS  Google Scholar 

  • Imbo I, Vandierendonck A (2007) The development of strategy use in elementary school children: working memory and individual differences. J Exp Child Psychol 96:284–309

    Article  PubMed  Google Scholar 

  • Imbo I, Vandierendonck A, Vergauwe E (2007) The role of working memory in carrying and borrowing. Psychol Res 71(4):467–483

    Article  PubMed  Google Scholar 

  • Kane MJ, Engle RW (2002) The role of prefrontal cortex in working-memory capacity, executive attention, and general fluid intelligence: an individual-differences perspective. Psychon Bull Rev 9(4):637–671

    Article  PubMed  Google Scholar 

  • Kutas M, Federmeier KD (2011) Thirty years and counting: finding meaning in the N400 component of the event-related brain potential (ERP). Annu Rev Psychol 62:621–647

    Article  PubMed  Google Scholar 

  • Kutas M, Hillyard SA (1980) Reading senseless sentences: brain potentials reflect semantic incongruity. Science 207(4427):203–205

    Article  PubMed  CAS  Google Scholar 

  • Lemaire P, Lecacheur M (2010) Strategy switch costs in arithmetic problem solving. Mem Cogn 38(3):322–332

    Article  Google Scholar 

  • Lemaire P, Reder L (1999) What affects strategy selection in arithmetic? An example of parity and five effects on product verification. Mem Cogn 22:364–382

    Article  Google Scholar 

  • Lemaire P, Arnaud L, Lecacheur M (2004) Adults’ age-related differences in adaptivity of strategy choices: evidence from computational estimation. Psychol Aging 10(3):467–481

    Article  Google Scholar 

  • Lovett MC, Schunn CD (1999) Task representations, strategy variability, and base-rate neglect. J Exp Psychol Gen 128(2):107–130

    Article  Google Scholar 

  • Luwel K, Schillemans V, Onghena P, Verschaffel L (2009) Does switching between strategies within the same task involve a cost? Br J Psychol 100(4):753–771

    Article  PubMed  Google Scholar 

  • Niedeggen M, Rosler F (1999) N400 effects reflect activation spread during retrieval of arithmetic facts. Psychol Sci 10:271–276

    Article  Google Scholar 

  • Rieskamp J, Otto PE (2006) SSL: a theory of how people learn to select strategies. J Exp Psychol Gen 135(2):207–236

    Article  PubMed  Google Scholar 

  • Schneider DW, Anderson JR (2010) Asymmetric switch costs as sequential difficulty effects. Q J Exp Psychol 63:1873–1894

    Article  Google Scholar 

  • Seyler DJ, Kirk EP, Ashcraft MH (2003) Elementary subtraction. J Exp Psychol 29(6):1339–1352

    Google Scholar 

  • Siegler RS (2007) Cognitive variability. Dev Sci 10:104–109

    Article  PubMed  Google Scholar 

  • Siegler RS, Arraya R (2005) A computational model of conscious and unconscious strategy discovery. In: Kail RV (ed) Advances in child development and behaviour. Elsevier, Oxford, pp 1–42

    Google Scholar 

  • Siegler RS, Shipley C (1995) Variation, selection, and cognitive change. In: Simon TJ, Halford GS (eds) Developing cognitive competence: new approaches to process modeling. Lawrence Erlbaum Associates, Hillsdale, pp 31–76

    Google Scholar 

  • Stanescu-Cosson R, Pinel P, Van de Moortele PF, Le Bihan D, Cohen L, Dehaene S (2000) Understanding dissociations in dyscalculia: a brain imaging study of the impact of number size on the cerebral networks for exact and approximate calculation. Brain 123:2240–2255

    Article  PubMed  Google Scholar 

  • Tronsky LN (2005) Strategy use, the development of automaticity, and working memory involvement in complex multiplication. Mem Cogn 33(5):927–940

    Article  Google Scholar 

  • Uittenhove K, Lemaire P (2012) Strategy sequential difficulty effects on strategy execution: a study in arithmetic. Exp Psychol 59(5):295–301

    Article  PubMed  Google Scholar 

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Acknowledgments

This research was supported in part by the CNRS (French NSF) and as grant from the Agence Nationale de la Recherche (Grant # BLAN07-1_196867).

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Correspondence to Patrick Lemaire.

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Uittenhove, K., Poletti, C., Dufau, S. et al. The time course of strategy sequential difficulty effects: an ERP study in arithmetic. Exp Brain Res 227, 1–8 (2013). https://doi.org/10.1007/s00221-012-3397-9

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  • DOI: https://doi.org/10.1007/s00221-012-3397-9

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