Matemáticas y neurociencias: una aproximación al desarrollo del pensamiento matemático desde una perspectiva biológica

Referencias

Agrillo, C., Piffer, L., & Bisazza, A. (2010). Large number discrimination by mosquitofish. PloS one, 5(12), e15232. doi:10.1371/journal.pone.0015232 Ardila, A. (2006). [The origins of language: an analysis from the aphasia perspective]. Revista de neurologia, 43(11), 690-698. Bongard, S., & Nieder, A. (2010). Basic mathematical rules are encoded by primate prefrontal cortex neurons. Proceedings of the National Academy of Sciences, 107(5), 2277-2282. doi:10.1073/pnas.0909180107 Bruandet, M., Molko, N., Cohen, L., & Dehaene, S. (2004). A cognitive characterization of dyscalculia in Turner syndrome. Neuropsychologia, 42(3), 288-298. Butterworth, B. (2000). The Mathematical Brain (New Ed.). Papermac. Agrillo, C., Piffer, L., & Bisazza, A. (2010). Large number discrimination by mosquitofish. PloS one, 5(12), e15232. doi:10.1371/journal.pone.0015232 Ardila, A. (2006). [The origins of language: an analysis from the aphasia perspective]. Revista de neurologia, 43(11), 690-698. Bongard, S., & Nieder, A. (2010). Basic mathematical rules are encoded by primate prefrontal cortex neurons. Proceedings of the National Academy of Sciences, 107(5), 2277-2282. doi:10.1073/pnas.0909180107 Bruandet, M., Molko, N., Cohen, L., & Dehaene, S. (2004). A cognitive characterization of dyscalculia in Turner syndrome. Neuropsychologia, 42(3), 288-298. Butterworth, B. (2000). The Mathematical Brain (New Ed.). Papermac. Butterworth, B., Varma, S., & Laurillard, D. (2011). Dyscalculia: from brain to education. Science (New York, N.Y.), 332(6033), 1049-1053. doi:10.1126/science.1201536 Cantlon, J. F. (2012). Math, monkeys, and the developing brain. Proceedings of the National Academy of Sciences, 109 (Supplement_1), 10725-10732 Doi:10.1073/pnas.1201893109 Castro-Cañizares, D., Estévez-Pérez, N., & Reigosa-Crespo, V. (2009). [Contemporary cognitive theories about developmental dyscalculia]. Revista de neurologia, 49(3), 143- 148. Cohen Kadosh, R., Sagiv, N., Linden, D. E. J., Robertson, L. C., Elinger, G., & Henik, A. (2005). When blue is larger than red: colors influence numerical cognition in synesthesia. Journal of cognitive neuroscience, 17(11), 1766-1773. doi:10.1162/089892905774589181 Collette, J.-P. (1993). Historia de las matemáticas. Siglo XXI de España Editores. De Smedt, B., Holloway, I. D., & Ansari, D. (2011). Effects of problem size and arithmetic operation on brain activation during calculation in children with varying levels of arithmetical fluency. NeuroImage, 57(3), 771-781. doi:10.1016/j.neuroimage.2010.12.037 Dehaene, S., Spelke, E., Pinel, P., Stanescu, R., & Tsivkin, S. (1999). Sources of Mathematical Thinking: Behavioral and Brain-Imaging Evidence. Science, 284(5416), 970-974. doi:10.1126/science.284.5416.970 Fischer, M. H., & Brugger, P. (2011). When Digits Help Digits: Spatial-Numerical Associations Point to Finger Counting as Prime Example of Embodied Cognition. Frontiers in Psychology, 2. doi:10.3389/fpsyg.2011.00260 Frank, M. C., Everett, D. L., Fedorenko, E., & Gibson, E. (2008). Number as a cognitive technology: evidence from Pirahã language and cognition. Cognition, 108(3), 819-824. doi:10.1016/j.cognition.2008.04.007 Gallistel, C. R., & Gelman, R. (1992). Preverbal and verbal counting and computation. Cognition, 44(1–2), 43-74. doi:10.1016/0010-0277(92)90050-R Gordon, P. (2004). Numerical cognition without words: evidence from Amazonia. Science (New York, N.Y.), 306(5695), 496-499. doi:10.1126/science.1094492 Hubbard, E. M., & Ramachandran, V. S. (2005). Neurocognitive mechanisms of synesthesia. Neuron, 48(3), 509-520. doi:10.1016/j.neuron.2005.10.012 Hunt, S., Low, J., & Burns, K. C. (2008). Adaptive numerical competency in a food-hoarding songbird. Proceedings Biological sciences / The Royal Society, 275(1649), 2373-2379. doi:10.1098/rspb.2008.0702 Kaufmann, L. (2008). Dyscalculia: neuroscience and education. Educational research; a review for teachers and all concerned with progress in education, 50(2), 163-175. doi:10.1080/00131880802082658 Kaufmann, L., & von Aster, M. (2012). The Diagnosis and Management of Dyscalculia. Deutsches Ärzteblatt International, 109(45), 767-778. doi:10.3238/arztebl.2012.0767 Lourenco, S. F., & Longo, M. R. (2010). General Magnitude Representation in Human Infants. Psychological Science, 21(6), 873-881. doi:10.1177/0956797610370158 Moeller, K., Martignon, L., Wessolowski, S., Engel, J., & Nuerk, H.-C. (2011). Effects of finger counting on numerical development - the opposing views of neurocognition and mathematics education. Frontiers in psychology, 2, 328. doi:10.3389/fpsyg.2011.00328 Otte, M. (2003). Complementarity, sets and numbers. Educational Studies in Mathematics, 53(3), 203-228. doi:10.1023/A:1026001332585 Owen, E. R., Baumgartner, H. A., & Rivera, S. M. (2013). Using infrared eye-tracking to explore ordinal numerical processing in toddlers with Fragile X Syndrome. Journal of neurodevelopmental disorders, 5(1), 1. doi:10.1186/1866-1955-5-1 Pahl, M., Si, A., & Zhang, S. (2013). Numerical cognition in bees and other insects. Frontiers in psychology, 4, 162. doi:10.3389/fpsyg.2013.00162 Park, J., Park, D. C., & Polk, T. A. (2012). Parietal Functional Connectivity in Numerical Cognition. Cerebral Cortex. doi:10.1093/cercor/bhs193 Price, G. R., Mazzocco, M. M. M., & Ansari, D. (2013). Why mental arithmetic counts: brain activation during single digit arithmetic predicts high school math scores. The Journal of neuroscience, 33(1), 156-163. doi:10.1523/JNEUROSCI.2936-12.2013 Butterworth, B., Varma, S., & Laurillard, D. (2011). Dyscalculia: from brain to education. Science (New York, N.Y.), 332(6033), 1049-1053. doi:10.1126/science.1201536 Cantlon, J. F. (2012). Math, monkeys, and the developing brain. Proceedings of the National Academy of Sciences, 109 (Supplement_1), 10725-10732 Doi:10.1073/pnas.1201893109 Castro-Cañizares, D., Estévez-Pérez, N., & Reigosa-Crespo, V. (2009). [Contemporary cognitive theories about developmental dyscalculia]. Revista de neurologia, 49(3), 143- 148. Cohen Kadosh, R., Sagiv, N., Linden, D. E. J., Robertson, L. C., Elinger, G., & Henik, A. (2005). When blue is larger than red: colors influence numerical cognition in synesthesia. Journal of cognitive neuroscience, 17(11), 1766-1773. doi:10.1162/089892905774589181 Collette, J.-P. (1993). Historia de las matemáticas. Siglo XXI de España Editores. De Smedt, B., Holloway, I. D., & Ansari, D. (2011). Effects of problem size and arithmetic operation on brain activation during calculation in children with varying levels of arithmetical fluency. NeuroImage, 57(3), 771-781. doi:10.1016/j.neuroimage.2010.12.037 Dehaene, S., Spelke, E., Pinel, P., Stanescu, R., & Tsivkin, S. (1999). Sources of Mathematical Thinking: Behavioral and Brain-Imaging Evidence. Science, 284(5416), 970-974. doi:10.1126/science.284.5416.970 Fischer, M. H., & Brugger, P. (2011). When Digits Help Digits: Spatial-Numerical Associations Point to Finger Counting as Prime Example of Embodied Cognition. Frontiers in Psychology, 2. doi:10.3389/fpsyg.2011.00260 Frank, M. C., Everett, D. L., Fedorenko, E., & Gibson, E. (2008). Number as a cognitive technology: evidence from Pirahã language and cognition. Cognition, 108(3), 819-824. doi:10.1016/j.cognition.2008.04.007 Gallistel, C. R., & Gelman, R. (1992). Preverbal and verbal counting and computation. Cognition, 44(1–2), 43-74. doi:10.1016/0010-0277(92)90050-R Gordon, P. (2004). Numerical cognition without words: evidence from Amazonia. Science (New York, N.Y.), 306(5695), 496-499. doi:10.1126/science.1094492 Hubbard, E. M., & Ramachandran, V. S. (2005). Neurocognitive mechanisms of synesthesia. Neuron, 48(3), 509-520. doi:10.1016/j.neuron.2005.10.012 Hunt, S., Low, J., & Burns, K. C. (2008). Adaptive numerical competency in a food-hoarding songbird. Proceedings Biological sciences / The Royal Society, 275(1649), 2373-2379. doi:10.1098/rspb.2008.0702 Kaufmann, L. (2008). Dyscalculia: neuroscience and education. Educational research; a review for teachers and all concerned with progress in education, 50(2), 163-175. doi:10.1080/00131880802082658 Kaufmann, L., & von Aster, M. (2012). The Diagnosis and Management of Dyscalculia. Deutsches Ärzteblatt International, 109(45), 767-778. doi:10.3238/arztebl.2012.0767 Lourenco, S. F., & Longo, M. R. (2010). General Magnitude Representation in Human Infants. Psychological Science, 21(6), 873-881. doi:10.1177/0956797610370158 Moeller, K., Martignon, L., Wessolowski, S., Engel, J., & Nuerk, H.-C. (2011). Effects of finger counting on numerical development - the opposing views of neurocognition and mathematics education. Frontiers in psychology, 2, 328. doi:10.3389/fpsyg.2011.00328 Otte, M. (2003). Complementarity, sets and numbers. Educational Studies in Mathematics, 53(3), 203-228. doi:10.1023/A:1026001332585 Owen, E. R., Baumgartner, H. A., & Rivera, S. M. (2013). Using infrared eye-tracking to explore ordinal numerical processing in toddlers with Fragile X Syndrome. Journal of neurodevelopmental disorders, 5(1), 1. doi:10.1186/1866-1955-5-1 Pahl, M., Si, A., & Zhang, S. (2013). Numerical cognition in bees and other insects. Frontiers in psychology, 4, 162. doi:10.3389/fpsyg.2013.00162 Park, J., Park, D. C., & Polk, T. A. (2012). Parietal Functional Connectivity in Numerical Cognition. Cerebral Cortex. doi:10.1093/cercor/bhs193 Price, G. R., Mazzocco, M. M. M., & Ansari, D. (2013). Why mental arithmetic counts: brain activation during single digit arithmetic predicts high school math scores. The Journal of neuroscience, 33(1), 156-163. doi:10.1523/JNEUROSCI.2936-12.2013