Abstract
The present paper describes a tool developed to model and simulate tasks related to numerical cognition, a very important element of both animal and human cognition. In particular, we describe how this software has been used to study a bias that has been consistently observed in humans, both adults and children, about the calculation of the middle point between two numbers and related with the position of numbers in intervals, called NIPE (number interval position effect). Along with the description of the software and the experimental results about the NIPE effect, some results are reported which show the potential of this approach.
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References
Spelke, E.S., Kinzler, K.D.: Core knowledge. Dev. Sci. 10(1), 89–96 (2007)
Zorzi, M., Priftis, K., Umiltà, C.: Neglect disrupts the mental number line. Nature 417, 138 (2002)
Chittka, L., Geiger, K.: Can honey bees count landmarks? Anim. Behav. 49(1), 159–164 (1995)
Dehaene, S.: Varieties of numerical abilities. Cognition 44(1), 1–42 (1992)
Dehaene, S., Bossini, S., Giraux, P.: The mental representation of parity and number magnitude. J. Exp. Psychol.: Gener. 122(3), 371–396 (1993)
Dehaene, S., Molko, N., Cohen, L., Wilson, A.J.: Arithmetic and the brain. Curr. Opin. Neurobiol. 14(2), 218–224 (2004)
Aiello, M., Merola, S., Doricchi, F.: Small numbers in the right brain: evidence from patients without and with spatial neglect. Cortex 49(1), 348–351 (2013)
Di Ferdinando, A., Parisi, D., Bartolomeo, P.: Modeling orienting behavior and its disorders with “ecological” neural networks. J. Cogn. Neurosci. 19(6), 1033–1049 (2007)
Doricchi, F., et al.: Spatial orienting biases in the decimal numeral system. Curr. Biol. 19(8), 682–687 (2009)
Gigliotta, O., Bartolomeo, P., Miglino, O.: Approaching neuropsychological tasks through adaptive neurorobots. Connection Sci. 27(2), 153–163 (2015)
Gilmore, C., Attridge, N., Inglis, M.: Measuring the approximate number system. Q. J. Exp. Psychol. 64(11), 2099–2109 (2011)
Halberda, J., Feigenson, L.: Developmental change in the acuity of the “Number Sense”: the approximate number system in 3-, 4-, 5-, and 6-year-olds and adults. Dev. Psychol. 44(5), 1457 (2008)
Matsuzawa, T.: Use of numbers by a chimpanzee. Nature 315(6014), 57–59 (1985)
Miglino, O., Ponticorvo, M.: Place cognition as an example of situated cognition: a study with evolved agents. Cogn. Process. 10(2), 250–252 (2009)
Miglino, O., Ponticorvo, M.: Exploring the roots of (spatial) cognition in artificial and natural organisms. Evol. Robot. Approach Horiz. Evol. Robot. 93–123 (2014)
Miglino, O., Ponticorvo, M., Bartolomeo, P.: Place cognition and active perception: a study with evolved robots. Connection Sci. 21(1), 3–14 (2009)
Nieder, A., Miller, E.K.: Coding of cognitive magnitude: compressed scaling of numerical information in the primate prefrontal cortex. Neuron 37(1), 149–157 (2003)
Ponticorvo, M., Rotondaro, F., Doricchi, F., Miglino, O.: A neural model of number interval position effect (NIPE) in children. In: Ferrández Vicente, J.M., Álvarez-Sánchez, J.R., de la Paz López, F., Toledo-Moreo, F.J., Adeli, H. (eds.) IWINAC 2015. LNCS, vol. 9107, pp. 9–18. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-18914-7_2
Ponticorvo, M., Miglino, O.: Encoding geometric and non-geometric information: a study with evolved agents. Anim. Cogn. 13(1), 157 (2010)
Ponticorvo, M., Walker, R., Miglino, O.: Evolutionary robotics as a tool to investigate spatial cognition in artificial and natural systems. In: Artificial Cognition Systems, pp. 210–237 (2007)
Reuter-Lorenz, P.A., Posner, M.I.: Components of neglect from right-hemisphere damage: an analysis of line bisection. Neuropsychologia 28(4), 327–333 (1990)
Rotondaro, F., Gazzellini, S., Peris, M., Doricchi, F.: The mental number line in children: number interval bisection and number to position performance. Poster presented at the European Workshop Cognitive Neuroscience 2012, Bressanone, Italy (2012)
Stoianov, I., Zorzi, M.: Emergence of a ‘visual number sense’ in hierarchical generative models. Nat. Neurosci. 15(2), 194–196 (2012)
Urbanski, M., et al.: Negligence spatiale unilaterale: une consequence dramatique mais souvent negligee des lesions de l’hemisphere droit. Revue Neurologique 163(3), 305–322 (2007)
Rotondaro, F., et al.: The number interval position effect (NIPE) in the mental bisection of numerical intervals might reflect the influence of the decimal-number system on the Gaussian representations of numerosities: a combined developmental and computational-modeling study. Cortex (2018)
Doricchi, F., et al.: Spatial orienting biases in the decimal numeral system. Curr. Biol. 19(8), 682–7 (2009)
Geary, D., Berch, D.B., Mann, K. (eds.): Evolutionary Origins and Early Development of Number Processing. Academic Press, Cambridge (2015)
Rencher, A.C.: Methods of Multivariate Analysis. Wiley, Hoboken (2002)
Piazza, M., Izard, V., Pinel, P., Bihan, D.L., Dehaene, S.: Tuning curves for approximate numerosity in the human intraparietal sulcus. Neuron 44(3), 547–555 (2004)
Broz, F., et al.: The ITALK project: a developmental robotics approach to the study of individual, social, and linguistic learning. Top. Cogn. Sci. 6(3), 534–544 (2014)
Gigliotta, O., Malkinson, T.S., Miglino, O., Bartolomeo, P.: Pseudoneglect in visual search: behavioral evidence and connectional constraints in simulated neural circuitry. eNeuro 4(6) (2017)
Pacella, D., Ponticorvo, M., Gigliotta, O., Miglino, O.: Basic emotions and adaptation. A computational and evolutionary model. PLOS ONE 12(11), 1–20 (2017)
Pagliuca, P., Milano, N., Nolfi, S.: Maximizing adaptive power in neuroevolution. PLOS ONE 13(7), e0198788 (2018)
Cerrato, A., Ponticorvo, M.: Enhancing neuropsychological testing with gamification and tangible interfaces: the baking tray task. In: Ferrández Vicente, J.M., Álvarez-Sánchez, J.R., de la Paz López, F., Toledo Moreo, J., Adeli, H. (eds.) IWINAC 2017. LNCS, vol. 10338, pp. 147–156. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-59773-7_16
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Gigliotta, O., Ponticorvo, M., Doricchi, F., Miglino, O. (2019). Midpoint: A Tool to Build Artificial Models of Numerical Cognition. In: Ferrández Vicente, J., Álvarez-Sánchez, J., de la Paz López, F., Toledo Moreo, J., Adeli, H. (eds) Understanding the Brain Function and Emotions. IWINAC 2019. Lecture Notes in Computer Science(), vol 11486. Springer, Cham. https://doi.org/10.1007/978-3-030-19591-5_10
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DOI: https://doi.org/10.1007/978-3-030-19591-5_10
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