Dissociating number line estimations from underlying numerical representations

Quarterly Journal of Experimental Psychology

Volumn 67, Issue 5, 2014, Pages 991-1003

  Huber, Stefan ^a   Moeller, Korbinian ^a   Nuerk, Hans Christoph ^a,b  

^a KNOWLEDGE MEDIA RESEARCH CENTER   (Germany)

^b UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

Magnitude representation; Nonlinear layout; Number line task; Numerical cognition

Indexed keywords

ADULT; AGE; CHILD; COGNITION; CONCEPT FORMATION; FEMALE; HUMAN; MALE; MATHEMATICS; PHOTOSTIMULATION; PHYSIOLOGY; VISION; YOUNG ADULT;

ADULT; AGE FACTORS; CHILD; COGNITION; CONCEPT FORMATION; FEMALE; HUMANS; MALE; MATHEMATICS; PHOTIC STIMULATION; VISUAL PERCEPTION; YOUNG ADULT;

EID: 84899959449     PISSN: 17470218     EISSN: 17470226     Source Type: Journal    
DOI: 10.1080/17470218.2013.838974     Document Type: Article

References (31)

1. Anderson, D. R. (2007). Model based inference in the life sciences: A primer on evidence. Springer: New York.
2. Barth, H. C., & Paladino, A. M. (2011). The development of numerical estimation: Evidence against a representational shift. Developmental Science, 14, 125-135.
3. Booth, J. L., & Siegler, R. S. (2006). Developmental and individual differences in pure numerical estimation. Developmental Psychology, 41, 189-201.
4. Booth, J. L., & Siegler, R. S. (2008). Numerical magnitude representations influence arithmetic learning. Child Development, 79, 1016-1031.
5. Brannon, E. M., Wusthoff, C. J., Gallistel, C. R., & Gibbon, J. (2001). Numerical subtraction in the pigeon: Evidence for a linear subjective number scale. Psychological Science, 12, 238-243.
6. Burnham, P., Anderson, D. R., & Huyvaert, K. P. (2011). AIC model selection and multimodel inference in behavioral ecology: Some background, observations, and comparisons. Behavioral Ecology and Sociobiology, 65, 23-35.
7. Cohen, D. J., & Blanc-Goldhammer, D. (2011). Numerical bias in bounded and unbounded number line tasks. Psychonomic Bulletin & Review, 18, 331-338.
8. Dehaene, S. (1992). Varieties of numerical abilities. Cognition, 44, 1-42.
9. Dehaene, S. (2001). The cognitive neuroscience of consciousness. Cambridge, MA: MIT Press.
10. Dehaene, S., Dupoux, E., & Mehler, J. (1990). Is numerical comparison digital? Analogical and symbolic effects in two-digit number comparison. Journal of Experimental Psychology: Human Perception and Performance, 16, 626-641.
11. Ebersbach, M., Luwel, K., Frick, A., Onghena, P., & Verschaffel, L. (2008). The relationship between the shape of the mental number line and familiarity with numbers in 5- to 9-year-old children: Evidence for a segmented linear model. Journal of Experimental Child Psychology, 99, 1-17.
12. Ebersbach, M., Luwel, K., & Verschaffel, L. (2013). Comparing apples and pears in studies on magnitude estimations. Frontiers in Psychology, 4, 332. doi: 10.3389/fpsyg.2013.00332
13. Gallistel, C. R., & Gelman, R. (1992). Preverbal and verbal counting and computation. Cognition, 44, 43-74.
14. Gibbon, J., & Church, R. M. (1981). Time left: Linear versus logarithmic subjective line. Journal of the Experimental Analysis of Behaviour, 7, 87-107.
15. Helmreich, I., Zuber, J., Pixner, S., Kaufmann, L., Nuerk, H.-C., & Moeller, K. (2011). Language effects on children's nonverbal number line estimations. Journal of Cross-Cultural Psychology, 42, 598-613.
16. Hollands, J. G., & Dyre, B. (2000). Bias in proportion judgments: The cyclical power model. Psychological Review, 107, 500-524.
17. Karolis, V., Iuculano, T., & Butterworth, B. (2011). Mapping numerical magnitudes along the right lines: Differentiating between scale and bias. Journal of Experimental Psychology: General, 140, 693-706.
18. Laski, E. V., & Siegler, R. S. (2007). Is 27 a big number? Correlational and causal connections among numerical categorization, number line estimation, and numerical magnitude comparison. Child Development, 76, 1723-1743.
19. Moeller, K., & Nuerk, H.-C. (2011). Psychophysics of numerical representation: Why seemingly logarithmic representations may rather be multilinear. Journal of Psychology, 219, 64-70.
20. Moeller, K., Pixner, S., Kaufmann, L., & Nuerk, H.-C. (2009). Children's early mental number line: logarithmic or decomposed linear? Journal of Experimental Child Psychology, 103, 503-515.
21. Opfer, J. E., & Siegler, R. S. (2007). Representational change and children's numerical estimation. Cognitive Psychology, 55, 169-195.
22. Opfer, J. E., & Siegler, R. S. (2012). Development of quantitative thinking. In K. Holyoak & R. Morrison (Eds.), Oxford handbook of thinking and reasoning (pp. 585-605). Cambridge, UK: Oxford University Press.
23. Pica, P., Lemer, C., Izard, V., & Dehaene, S. (2004). Exact and approximate arithmetic in an Amazonian indigene group. Science, 306, 499-503.
24. Restle, F. (1970). Speed of adding and comparing numbers. Journal of Experimental Psychology, 83, 274-278.
25. Siegler, R. S., & Booth, J. L. (2004). Development of numerical estimation in young children. Child Development, 75, 428-444.
26. Siegler, R. S., & Booth, J. L. (2005). Development of numerical estimation: A review. In J. I. D. Campbell (Ed.), Handbook of mathematical cognition (pp. 197-212). New York: Taylor and Francis.
27. Siegler, R. S., & Opfer, J. (2003). The developmental numerical estimation: Evidence for multiple representation of mental quantity. Psychological Science, 14, 237-243.
28. Slusser, E. B., Santiago, R. T., & Barth, H. C. (2013). Developmental change in numerical estimation. Journal of Experimental Psychology: General, 142, 193-208.
29. Spence, I. (1990). Visual psychophysics of simple graphical elements. Journal of Experimental Psychology: Human Perception and Performance, 16, 683-692.
30. Sullivan, J. L., Juhasz, B. J., Slattery, T. J., & Barth, H. C. (2011). Adults' number-line estimation strategies: Evidence from eye movements. Psychonomic Bulletin & Review, 18, 557-563.
31. Thompson, C. A., Siegler, R. S. (2010). Linear numerical-magnitude representations aid children's memory for numbers. Psychological Science, 21, 1274-1281.