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27-08-2016 | Original Article

Effect of combined motor and spatial cues on mathematical reasoning: a polarity correspondence account

Auteurs: Hélène Verselder, Sébastien Freddi, Vincent Dru

Gepubliceerd in: Psychological Research | Uitgave 5/2017

Abstract

We examined whether combined motor or spatial polarities could influence accuracy in two mathematical operations. Four experiments were conducted and showed that, when two corresponding polarities were activated, accuracy in multiplicative operations was greater than when non-corresponding polarities were activated, whereas no effect was found for additive operations. These results were established with motor cues (Left/Right and Arm Extension/Flexion, as behavioral approach-avoidance tendencies) and perceptual spatial cues (Left/Right and DOWN/UP cues). A polarity correspondence effect was established and proposed for multiplication. A combination of polarities was associated with a corresponding combination of numerical digits, assessed with mathematical operations, such as multiplication.

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Anderson, N. H. (1981). Foundations of Information Integration Theory. New York: Academic Press.

Anderson, N. H. (1982). Methods for Information Integration Theory. New York: Academic Press.

Anderson, N. H. (1996). A functional theory of cognition. Hillsdale: Lawrence Erlbaum.

Anderson, N. H. (2008). Unified social cognition. New York: Psychology Press.

Anderson, N. H. (2013). Unified psychology based on three laws of information integration. Review of General Psychology, 17, 125–132. doi: 10.1037/a0032921. CrossRef

Anelli, F., Lugli, L., Baroni, G., Borghi, A. M., & Nicoletti, R. (2014). Walking boosts your performance in making additions and subtractions. Frontiers in Psychology Cognition, 5, 1459. doi: 10.3389/fpsyg.2014.01459.

Badets, A., Koch, I., & Toussaint, L. (2013). Role of an ideomotor mechanism in number processing. Experimental Psychology, 60, 34–43. doi: 10.1027/1618-3169/a000171. CrossRefPubMed

Badets, A., & Pesenti, M. (2011). Finger-number interaction: An ideomotor account. Experimental Psychology, 58, 287–292. doi: 10.1027/1618-3169/a000095. CrossRefPubMed

Bae, G. Y., Choi, J. M., Cho, Y. S., & Proctor, R. W. (2009). Transfer of magnitude and spatial mappings to the SNARC effect for parity judgments. Journal of Experimental Psychology Learning Memory and Cognition, 35, 1506–1521. doi: 10.1080/17470210802303883. CrossRef

Cacioppo, J. T., Priester, J. R., & Berntson, G. G. (1993). Rudimentary determinants of attitudes: Arm flexion and extension have differential effects on attitudes. Journal of Personality and Social Psychology, 65, 5–17. doi: 10.1037/0022-3514.65.1.5. CrossRefPubMed

Campbell, J. I. D., & Austin, S. (2002). Effects of response time deadlines on adults’ strategy choices for simple addition. Memory and Cognition, 30, 988–994. doi: 10.3758/BF03195782. CrossRefPubMed

Carlson, R. A., Avraamides, M. N., Cary, M., & Strasberg, S. (2007). What do the hands externalize in simple arithmetic? Journal of Experimental Psychology Learning Memory and Cognition, 33, 747–756. doi: 10.1037/0278-7393.33.4.747. CrossRef

Cohen, J. (1988). Statistical power analysis for the behavioral sciences. New York: Routledge Academic.

Cretenet, J., & Dru, V. (2004). The influence of unilateral and bilateral arm flexion vs. extension on judgments: An exploratory case of a motor congruence hypothesis. Emotion, 4, 282–294. doi: 10.1037/1528-3542.4.3.282. CrossRefPubMed

Cretenet, J., & Dru, V. (2009). Influence of peripheral and motivational cues on rigid-flexible functioning: Perceptual, behavioral, and cognitive aspects. Journal of Experimental Psychology General, 138, 201–217. doi: 10.1037/a0015379. CrossRefPubMed

Cretenet, J., Mullet, E., & Dru, V. (2015). Motor and cognitive integration: Effect of bilateral behaviors on judgment. Acta Psychologica, 161, 64–72. doi: 10.1016/j.actpsy.2015.08.004. CrossRefPubMed

Dehaene, S., Bossini, S., & Giraux, P. (1993). The mental representation of parity and number magnitude. Journal of Experimental Psychology General, 122, 371–396. doi: 10.1037/0096-3445.122.3.371. CrossRef

Didino, D., Lombardi, L., & Vespignani, F. (2014). Operand-order effect in multiplication and addition: The long-term effects of reorganization process and acquisition sequence. Experimental Psychology, 61, 470–479. doi: 10.1027/1618-3169/a000264. CrossRefPubMed

Dixon, J. A., Deets, J. K., & Banfert, A. (2001). The representations of the arithmetic operations include functional relationships. Memory and Cognition, 29, 462–477. doi: 10.3758/bf03196397. CrossRefPubMed

Dru, V., & Cretenet, J. (2008). Influence of unilateral motor behaviors on the judgment of valenced stimuli. Cortex, 44, 717–727. doi: 10.1016/j.cortex.2006.11.004. CrossRefPubMed

Eikmeier, V., Hoppe, D., & Ulrich, R. (2015). Responde mode does not modulate the space-time congruency effect: Evidence for a space-time mapping at a conceptual level. Acta Psychologica, 156, 162–167. CrossRefPubMed

Faul, F., Erdfelder, E., Lang, A.-G., & Buchner, A. (2007). G*Power 3: A flexible statistical power analysis program for the social, behavioral, and biomedical sciences. Behavior Research Methods, 39, 175–191. doi: 10.3758/BF03193146. CrossRefPubMed

Fischer, M. H. (2012). A hierarchical view of grounded, embodied, and situated numerical cognition. Cognitive Processing, 13, 161–164. doi: 10.1007/s10339-012-0477-5. CrossRef

Gevers, W., Lammertyn, J., Notebaert, W., Verguts, T., & Fias, W. (2006). Automatic response activation of implicit spatial information: Evidence from SNARC effect. Acta Psychologica, 122, 221–233. doi: 10.1016/j.actpsy.2005.11.004. CrossRefPubMed

Holmes, K. J., & Lourenco, S. F. (2012). Orienting numbers in mental space: Horizontal organization trumps vertical. The Quarterly Journal of Experimental Psychology, 65, 1044–1051. doi: 10.1080/17470218.2012.685079. CrossRefPubMed

Ito, Y., & Hatta, T. (2004). Spatial structure of quantitative representation of numbers: Evidence from the SNARC effect. Memory and Cognition, 32, 662–673. doi: 10.3758/BF03195857. CrossRefPubMed

Kirk, E. P., & Ashcraft, M. H. (2001). Telling stories: The perils and promise of using verbal reports to study math strategies. Journal of Experimental Psychology Learning Memory and Cognition, 27, 157–175. doi: 10.1037/0278-7393.27.1.157. CrossRef

Knops, A., Viarouge, A., & Dehaene, S. (2009). Dynamic representations underlying symbolic and nonsymbolic calculation: Evidence from the operational momentum effect. Attention Perception and Psychophysics, 71, 803–821. doi: 10.3758/APP.71.4.803. CrossRef

Krist, H., Fieberg, E. L., & Wilkening, F. (1993). Intuitive physics in action and judgment: The development of knowledge about projectile motion. Journal of Experimental Psychology Learning Memory and Cognition, 19, 952–966. doi: 10.1037/0278-7393.19.4.952. CrossRef

Lakens, D. (2012). Polarity correspondence in metaphor congruency effects: Structural overlap predicts categorization times for bi-polar concepts presented in vertical space. Journal of Experimental Psychology Learning Memory and Cognition, 38, 726–736. doi: 10.1037/a0024955. CrossRef

Lakens, D. (2013). Calculating and reporting effect sizes to facilitate cumulative science: A practical primer for t-tests and ANOVAs. Frontiers in Psychology, 4, 863. doi: 10.3389/fpsyg.2013.00863. CrossRefPubMedPubMedCentral

Lakoff, G., & Núñez, R. (2000). Where Mathematics Comes From: How the Embodied Mind Brings Mathematics Into Being. New York: Basic Books.

Lugli, L., Baroni, G., Anelli, F., Borghi, A. M., & Nicoletti, R. (2013). Counting is easier while experiencing a congruent motion. PLoS One, 8, e64500. doi: 10.1371/journal.pone.0064500. CrossRefPubMedPubMedCentral

Lynott, D., & Coventry, K. R. (2014). On the ups and downs of emotion: Testing between conceptual-metaphor and polarity accounts of emotional valence-spatial location interactions. Psychonomic Bulletin and Review, 21, 218–226. doi: 10.3758/s13423-013-0481-5. CrossRefPubMed

Masson, N., & Pesenti, M. (2014). Attentional bias induced by solving simple and complex addition and subtraction problems. The Quarterly Journal of Experimental Psychology, 67, 1414–1526. doi: 10.1080/17470218.2014.903985.

Maxwell, J. S., & Davidson, R. J. (2007). Emotion as motion: Asymmetries in approach and avoidant actions. Psychological Science, 18, 1113–1119. doi: 10.1111/j.1467-9280.2007.02033.x. CrossRefPubMed

McCrink, K., Dehaene, S., & Dehaene-Lambertz, G. (2007). Moving along the number line: Operational momentum in nonsymbolic arithmetic. Perception and Psychophysics, 69, 1324–1333. doi: 10.3758/BF03192949. CrossRefPubMed

Mullet, E., Cretenet, J., & Dru, V. (2014). Motor influences on judgment: Motor and cognitive integration. British Journal of Psychology, 105, 69–91. doi: 10.1111/bjop.12022. CrossRefPubMed

Nemirovsky, R., Rasmussen, C., Sweeney, G., & Wawro, M. (2011). When the classroom floor becomes the complex plane: Addition and multiplication as ways of bodily navigation. Journal of the Learning Sciences, 21, 287–323. doi: 10.1080/10508406.2011.611445. CrossRef

Porac, C., & Cohen, S. (1981). Lateral Preferences and Human Behavior. New York: Springer. doi: 10.2307/1422823. CrossRef

Proctor, R. W., & Cho, Y. S. (2006). Polarity correspondence: A general principle for performance of speeded binary classification tasks. Psychological Bulletin, 132, 416–442. doi: 10.1037/0033-2909.132.3.416. CrossRefPubMed

Proctor, R. W., & Xiong, A. (2015). Polarity correspondence as a general compatibility principle. Current Directions in Psychological Science, 24, 446–451. doi: 10.1177/0963721415607305. CrossRef

Radford, L. (2009). Why do gestures matter? Sensuous cognition and the palpability of mathematical meanings. Educational Studies in Mathematics, 70, 111–126. doi: 10.1007/s10649-008-9127-3. CrossRef

Reber, R., Wurtz, P., Knapstad, M., & Lervik, L. V. (2010). Polarity correspondence in comparative number magnitude judgments. Psychonomic and Bulletin Review, 17, 219–223. doi: 10.3758/PBR.17.2.219. CrossRef

Rulences-Pâques, P., & Mullet, E. (1998). Area judgment from with and height information: The case of the rectangle. Journal of Experimental Child Psychology, 69, 22–48. doi: 10.1006/jecp.1998.2434. CrossRef

Russo, J. E., Johnson, E. J., & Stephens, D. L. (1989). The validity of verbal protocols. Memory and Cognition, 17, 759–769. CrossRefPubMed

Santiago, J., & Lakens, D. (2014). Can conceptual congruency effects between number, time, and space be accounted for by polarity correspondence? Acta Psychologica,. doi: 10.1016/j.actpsy.2014.09.016. PubMed

Semin, G. R., & Smith, E. R. (2008). Embodied grounding: Social, cognitive, affective, and neuroscientific approaches. New York: Cambridge University Press. CrossRef

Topolinski, S., & Reber, R. (2010). Immediate truth-temporal contiguity between a cognitive problem and its solution determines experienced veracity of the solution. Cognition, 114, 117–122. doi: 10.1016/j.cognition.2009.09.009. CrossRefPubMed

Tschentscher, N., Hauk, O., Fischer, M. H., & Pulvermüller, F. (2012). You can count on the motor system: Finger counting habits modulate motor cortex activation evoked by numbers. Neuroimage, 59, 3139–3148. doi: 10.1016/j.neuroimage.2011.11.037. CrossRefPubMed

Verguts, T., Fias, W., & Stevens, M. (2005). A model of exact small number representation. Psychonomic Bulletin and Review, 12, 66–80. doi: 10.3758/BF03196349. CrossRefPubMed

Wiemers, M., Bekkering, H., & Lindemann, O. (2014). Spatial interferences in mental arithmetic: Evidence from the motion-arithmetic compatibility effect. Quarterly Journal of Experimental Psychology, 67(8), 1557–1570. doi: 10.1080/17470218.2014.889180. CrossRef

Titel: Effect of combined motor and spatial cues on mathematical reasoning: a polarity correspondence account
Auteurs: Hélène Verselder
Sébastien Freddi
Vincent Dru
Publicatiedatum: 27-08-2016
Uitgeverij: Springer Berlin Heidelberg
Gepubliceerd in: Psychological Research / Uitgave 5/2017
Print ISSN: 0340-0727
Elektronisch ISSN: 1430-2772
DOI: https://doi.org/10.1007/s00426-016-0799-5

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