Influences of cognitive control on numerical cognition-adaptation by binding for implicit learning

Topics in Cognitive Science

Volumn 5, Issue 2, 2013, Pages 335-353

  Moeller, Korbinian ^a,b   Klein, Elise ^a,b,c,d   Nuerk, Hans Christoph ^a,b  

^a KNOWLEDGE MEDIA RESEARCH CENTER   (Germany)

^b UNIVERSITY OF TÜBINGEN   (Germany)

^c UNIVERSITY HOSPITAL RWTH AACHEN   (Germany)

^d IZKF BIOMAT   (Germany)

Author keywords

Adaptation by binding; Cognitive control; Decomposed processing; Two digit number comparison

Indexed keywords

ADULT; ARTICLE; COGNITION; CONCEPT FORMATION; EVALUATION; FEMALE; HUMAN; LEARNING; MALE; MATHEMATICAL PHENOMENA; PHYSIOLOGY; REACTION TIME; REPRODUCIBILITY;

ADULT; COGNITION; CONCEPT FORMATION; FEMALE; HUMANS; LEARNING; MALE; MATHEMATICAL CONCEPTS; REACTION TIME; REPRODUCIBILITY OF RESULTS; YOUNG ADULT;

EID: 84876313357     PISSN: 17568757     EISSN: 17568765     Source Type: Journal    
DOI: 10.1111/tops.12015     Document Type: Article

References (44)

1. Alexander, W. H., & Brown, J. W. (2010). Computational models of performance monitoring and cognitive control. Topics in Cognitive Science, 2, 658-677.
2. Ashcraft, M. H., & Christy, K. S. (1995). The frequency of arithmetic facts in elementary texts: Addition and multiplication in grades 1-6. Journal for Research in Mathematics Education, 26, 396-421.
3. Botvinick, M. M. (2007). Conflict monitoring and decision making: Reconciling two perspectives on anterior cingulated function. Cognitive, Affective, and Behavioral Neuroscience, 7, 356-366.
4. Botvinick, M. M., Braver, T. S., Barch, D. M., Carter, S. C., & Cohen, J. D. (2001). Conflict monitoring and cognitive control. Psychological Review, 108, 624-652.
5. 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.
6. Conway, C. M., Bauernschmidt, A., Huang, S. S., & Pisoni, D. B. (2010). Implicit statistical learning in language processing: Word predictability is the key. Cognition, 114, 356-371.
7. Dehaene, S., & Cohen, L. (2007). Cultural recycling of cortical maps. Neuron, 56, 384-398.
8. Dehaene, S., & Mehler, J. (1992). Cross-linguistic regularities in the frequency of number words. Cognition, 43, 1-29.
9. Ganor-Stern, D., Tzelgov, J., & Ellenbogen, R. (2007). Automaticity of two-digit numbers. Journal of Experimental Psychology: Human Perception and Performance, 33, 483-496.
10. Gratton, G., Coles, M. G. H., & Donchin, E. (1992). Optimizing the use of information: Strategic control of activation of responses. Journal of Experimental Psychology: General, 121, 480-506.
11. Guéguen, N., Jacob, C., Legoherel, P., & NGobo, P. (2009). Nine-ending prices and consumer's behavior: A field study in a restaurant. International Journal of Hospitality Management, 28, 170-172.
12. Kidd, E. (2012). Implicit statistical learning is directly associated with the acquisition of syntax. Developmental Psychology, 48, 171-184.
13. Korvorst, M., & Damian, M. F. (2008). The differential influence of decades and units on multi-digit number comparison. The Quarterly Journal of Experimental Psychology, 61, 1250-1264.
14. Lorch, R. F., & Myers, J. L. (1990). Regression analyses of repeated measures data in cognitive research. Journal of Experimental Psychology: Learning, Memory, and Cognition, 16, 149-157.
15. Lupker, S. J., Brown, P., & Colombo, L. (1997). Strategic control in a naming task: Changing routes or changing deadlines? Journal of Experimental Psychology: Learning, Memory, and Cognition, 23, 570-590.
16. Mann, A., Moeller, K., Pixner, S., Kaufmann, L., & Nuerk, H.-C. (2011). Attentional strategies in place-value integration: a longitudinal study on two-digit number comparison. Zeitschrift für Psychologie/Journal of Psychology, 219, 42-49.
17. Macizo, P., & Herrera, A. (2010). Two-digit number comparison: Decade-unit and unit-decade produce the same compatibility effect with number words. Canadian Journal of Experimental Psychology, 64, 17-24.
18. Macizo, P., & Herrera, A. (2011). Cognitive control in number processing: Evidence from the unit-decade compatibility effect. Acta Psychologica, 136, 112-118.
19. Meyerhoff, H. S., Moeller, K., Debus, K., & Nuerk, H.-C. (2012). Multi-digit number processing beyond the two-digit number range: A combination of sequential and parallel processes. Acta Psychologica, 140, 81-90.
20. Moeller, K., Fischer, M. H., Nuerk, H.-C., & Willmes, K. (2009). Sequential or parallel processing of two-digit numbers? Evidence from eye-tracking. The Quarterly Journal of Experimental Psychology, 62, 323-334.
21. Moeller, K., Huber, S., Nuerk, H.-C., & Willmes, K. (2011). Two-digit number processing - Holistic, decomposed or hybrid? A computational modelling approach. Psychological Research, 75, 290-306.
22. Moeller, K., Nuerk, H.-C., & Willmes, K. (2009). Internal magnitude representation is not holistic, either. European Journal of Cognitive Psychology, 21, 672-685.
23. Moyer, R. S., & Landauer, T. K. (1967). Time required for judgements of numerical inequality. Nature, 215, 1519-1520.
24. Nissen, M. J., & Bullemer, P. (1987). Attentional requirements of learning: Evidence from performance measures. Cognitive Psychology, 19, 1-32.
25. Norman, D. A., & Shallice, T. (1986). Attention to action: Willed and automatic control of behaviour. In R. J. Davison, G. E. Schwartz, & D. Shapiro (Eds.), Consciousness and self-regulation (Vol. 4, pp. 1-18). New York: Plenum.
26. Notebaert, W., & Verguts, T. (2008). Cognitive control acts locally. Cognition, 106, 1071-1080.
27. Notebaert, W., & Verguts, T. (2011). Conflict and error adaptation in the Simon task. Acta Psychologica, 136, 212-216.
28. Nuerk, H.-C., Geppert, B. E., van Herten, M., & Willmes, K. (2002). On the impact of different number representations in the number bisection task. Cortex, 38, 691-715.
29. Nuerk, H.-C., Moeller, K., Klein, E., Willmes, K., & Fischer, M. H. (2011). Extending the mental number line - A review of multi-digit number processing. Zeitschrift für Psychologie/Journal of Psychology, 219, 3-22.
30. Nuerk, H.-C., Weger, U., & Willmes, K. (2001). Decade breaks in the mental number line? Putting the tens and units back in different bins. Cognition, 82, B25-B33.
31. Nuerk, H.-C., & Willmes, K. (2005). On the magnitude representations of two-digit numbers. Psychology Science, 47, 52-72.
32. Perruchet, P., & Pacton, S. (2006). Implicit learning and statistical learning: One phenomenon, two approaches. Trends in Cognitive Sciences, 10, 233-238.
33. Poltrock, S. E., & Schwartz, D. R. (1984). Comparative judgement of multi-digit numbers. Journal of Experimental Psychology: Learning, Memory, and Cognition, 10, 32-45.
34. Reber, A. S. (1967). Implicit learning of artificial grammars. Journal of Verbal Learning and Verbal Behavior, 6, 855-863.
35. Scheffers, M. K., & Coles, M. G. H. (2000). Performance monitoring in a confusing world: Error-related brain activity, judgments of response accuracy, and type of errors. Journal of Experimental Psychology: Human Perception and Performance, 26, 141-151.
36. Shanks, D. R. (2005). Implicit learning. In K. Lamberts & R. Goldstone (Eds.), Handbook of Cognition (pp. 202-220). Thousand Oaks, CA: Sage Publications.
37. Stigler, J. W., Fuson, K. C., Ham, M., & Kim, M. S. (1986). An analysis of addition and subtraction word problems in American and Soviet elementary mathematics textbooks. Cognition and Instruction, 3, 153-171.
38. Thomas, M., & Morwitz, V. G. (2005). Penny wise and pound foolish: The left digit effect on price cognition. Journal of Consumer Research, 32, 54-64.
39. Tzelgov, J., Henik, A., & Berger, J. (1992). Controlling Stroop effects by manipulating expectations for color words. Memory & Cognition, 20, 727-735.
40. Verguts, T., & De Moor, W. (2005). Two-digit comparison decomposed, holistic or hybrid? Experimental Psychology, 52, 195-200.
41. Verguts, T., & Notebaert, W. (2008). Hebbian learning of cognitive control: Dealing with specific and nonspecific adaptation. Psychological Review, 115, 518-525.
42. Verguts, T., & Notebaert, W. (2009). Adaptation by binding: A learning account of cognitive control. Trends in Cognitive Science, 13, 252-257.
43. Verguts, T., Notebaert, W., Kunde, W., & Wühr, P. (2011). Post-conflict slowing: Cognitive adaptation after conflict processing. Psychonomic Bulletin & Review, 18, 76-82.
44. Zhang, J., & Norman, D. A. (1995). A representational analysis of numeration systems. Cognition, 57, 271-295.