Chapter 12 - The Precision and Internal Confidence of Our Approximate Number Thoughts

作者: Justin Halberda , Darko Odic

DOI: 10.1016/B978-0-12-420133-0.00012-0

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摘要: The approximate number system (ANS) is a portion of your cognition that active across entire life, and in the business giving you rapid intuitive sense for numbers their relations (e.g., how many blue versus yellow dots are on screen or voices hear speaking at dinner table). In this chapter, we discuss representations, Weber fractions, individual differences these representations individuals who may struggle with ANS perceptions less precise than typical). A key organizing theme throughout chapter “internal confidence.” We suggest internal confidence (a technical notion related to signal fidelity) major causal factor observed links between our performance school mathematics.

参考文章(72)
Darko Odic, Hee Yeon Im, Robert Eisinger, Ryan Ly, Justin Halberda, PsiMLE: A maximum-likelihood estimation approach to estimating psychophysical scaling and variability more reliably, efficiently, and flexibly. Behavior Research Methods. ,vol. 48, pp. 445- 462 ,(2016) , 10.3758/S13428-015-0600-5
Donald Laming, The measurement of sensation ,(1997)
George A. Gescheider, Psychophysics: The Fundamentals ,(2015)
John Arthur Swets, David Marvin Green, Signal Detection Theory and Psychophysics ,(1974)
Manuela Piazza, Véronique Izard, Philippe Pinel, Denis Le Bihan, Stanislas Dehaene, Tuning Curves for Approximate Numerosity in the Human Intraparietal Sulcus Neuron. ,vol. 44, pp. 547- 555 ,(2004) , 10.1016/J.NEURON.2004.10.014
J. Halberda, R. Ly, J. B. Wilmer, D. Q. Naiman, L. Germine, Number sense across the lifespan as revealed by a massive Internet-based sample Proceedings of the National Academy of Sciences of the United States of America. ,vol. 109, pp. 11116- 11120 ,(2012) , 10.1073/PNAS.1200196109
Torkel Hafting, Marianne Fyhn, Sturla Molden, May-Britt Moser, Edvard I. Moser, Microstructure of a spatial map in the entorhinal cortex Nature. ,vol. 436, pp. 801- 806 ,(2005) , 10.1038/NATURE03721
Jennifer M. Zosh, Justin Halberda, Lisa Feigenson, Memory for multiple visual ensembles in infancy Journal of Experimental Psychology: General. ,vol. 140, pp. 141- 158 ,(2011) , 10.1037/A0022925
Marc D. Hauser, Fritz Tsao, Patricia Garcia, Elizabeth S. Spelke, Evolutionary foundations of number: spontaneous representation of numerical magnitudes by cotton–top tamarins Proceedings of The Royal Society B: Biological Sciences. ,vol. 270, pp. 1441- 1446 ,(2003) , 10.1098/RSPB.2003.2414
Titia Gebuis, Bert Reynvoet, The interplay between nonsymbolic number and its continuous visual properties. Journal of Experimental Psychology: General. ,vol. 141, pp. 642- 648 ,(2012) , 10.1037/A0026218