Developmental dyscalculia: the progress of cognitive modeling in the field of numerical cognition deficits for children

References

• Andersson, U., & Östergren, R. (2012). Number magnitude processing and basic cognitive functions in children with mathematical learning disabilities. Learning and Individual Differences, 22(6), 701–714. https://doi.org/10.1016/j.lindif.2012.05.004
   Web of Science ®Google Scholar
• Ashby, F. G., Turner, B. O., & Horvitz, J. C. (2010). Cortical and basal ganglia contributions to habit learning and automaticity. Trends in Cognitive Sciences, 14(5), 208–215. https://doi.org/10.1016/j.tics.2010.02.001
   PubMed Web of Science ®Google Scholar
• Ashkenazi, S., & Henik, A. (2010). A disassociation between physical and mental number bisection in developmental dyscalculia. Neuropsychologia, 48(10), 2861–2868. https://doi.org/10.1016/j.neuropsychologia.2010.05.028
   PubMed Web of Science ®Google Scholar
• Ashkenazi, S., Mark-Zigdon, N., & Henik, A. (2013). Do subitizing deficits in developmental dyscalculia involve pattern recognition weakness? Developmental Science, 16(1), 35–46. https://doi.org/10.1111/j.1467-7687.2012.01190.x
   PubMed Web of Science ®Google Scholar
• Attout, L., & Majerus, S. (2015). Working memory deficits in developmental dyscalculia : The importance of serial order. Child Neuropsychology : A Journal on Normal and Abnormal Development in Childhood and Adolescence, 21(4), 432–450. https://doi.org/10.1080/09297049.2014.922170
   PubMed Web of Science ®Google Scholar
• Attout, L., & Majerus, S. (2018). Serial order working memory and numerical ordinal processing share common processes and predict arithmetic abilities. British Journal of Developmental Psychology, 36(2), 285–298. https://doi.org/10.1111/bjdp.12211
   PubMed Web of Science ®Google Scholar
• Barrouillet, P., & Lépine, R. (2005). Working memory and children’s use of retrieval to solve addition problems. Journal of Experimental Child Psychology, 91(3), 183–204. https://doi.org/10.1016/j.jecp.2005.03.002
   PubMed Web of Science ®Google Scholar
• Bugden, S., & Ansari, D. (2016). Probing the nature of deficits in the ‘approximate number system’ in children with persistent developmental dyscalculia. Developmental Science, 19(5), 817–833. https://doi.org/10.1111/desc.12324
   PubMed Web of Science ®Google Scholar
• Campbell, J. I. (1995). Mechanisms of simple addition and multiplication : A modified network-interference theory and simulation. Mathematical Cognition, 1(2), 121–164.
   Google Scholar
• Campbell, J. I. (2005). Handbook of mathematical cognition. Psychology Press.
   Google Scholar
• Cappelletti, M., Freeman, E. D., & Butterworth, B. L. (2011). Time processing in dyscalculia. Frontiers in Psychology, 2. https://doi.org/10.3389/fpsyg.2011.00364
   Google Scholar
• Chan, W. W. L., Au, T. K., & Tang, J. (2013). Developmental dyscalculia and low numeracy in Chinese children. Research in Developmental Disabilities, 34(5), 1613–1622. https://doi.org/10.1016/j.ridd.2013.01.030
   PubMed Web of Science ®Google Scholar
• De Visscher, A., Szmalec, A., Van Der Linden, L., & Noël, M.-P. (2015). Serial-order learning impairment and hypersensitivity-to-interference in dyscalculia. Cognition, 144, 38–48. https://doi.org/10.1016/j.cognition.2015.07.007
   PubMed Web of Science ®Google Scholar
• De Visscher, A., Vogel, S. E., Reishofer, G., Hassler, E., Koschutnig, K., De Smedt, B., & Grabner, R. H. (2018). Interference and problem size effect in multiplication fact solving : Individual differences in brain activations and arithmetic performance. NeuroImage, 172, 718–727. https://doi.org/10.1016/j.neuroimage.2018.01.060
   PubMed Web of Science ®Google Scholar
• Decarli, G., Paris, E., Tencati, C., Nardelli, C., Vescovi, M., Surian, L., & Piazza, M. (2020). Impaired large numerosity estimation and intact subitizing in developmental dyscalculia. Plos One, 15(12), e0244578. https://doi.org/10.1371/journal.pone.0244578
   PubMed Web of Science ®Google Scholar
• Dehaene, S. (2001). Précis of the number sense. Mind and Language, 16(1), 16–36. https://doi.org/10.1111/1468-0017.00154
   Web of Science ®Google Scholar
• Dehaene, S., Piazza, M., Pinel, P., & Cohen, L. (2003). Three parietal circuits for number processing. Cognitive Neuropsychology, 20(3–6), 487–506. https://doi.org/10.1080/02643290244000239
   PubMed Web of Science ®Google Scholar
• Desoete, A., Ceulemans, A., De Weerdt, F., & Pieters, S. (2012). Can we predict mathematical learning disabilities from symbolic and non-symbolic comparison tasks in kindergarten? Findings from a longitudinal study: Mathematical learning disabilities in kindergarten. British Journal of Educational Psychology, 82(1), 64–81. https://doi.org/10.1348/2044-8279.002002
   PubMed Web of Science ®Google Scholar
• Desoete, A., & Grégoire, J. (2006). Numerical competence in young children and in children with mathematics learning disabilities. Learning and Individual Differences, 16(4), 351–367. https://doi.org/10.1016/j.lindif.2006.12.006
   Web of Science ®Google Scholar
• Dormal, V., Andres, M., & Pesenti, M. (2012). Contribution of the right intraparietal sulcus to numerosity and length processing : An fMRI-guided TMS study. Cortex; A Journal Devoted to the Study of the Nervous System and Behavior, 48(5), 623–629. https://doi.org/10.1016/j.cortex.2011.05.019
   PubMed Web of Science ®Google Scholar
• Doyon, J., Bellec, P., Amsel, R., Penhune, V., Monchi, O., Carrier, J., Lehéricy, S., & Benali, H. (2009). Contributions of the basal ganglia and functionally related brain structures to motor learning. Behavioural Brain Research, 199(1), 61–75. https://doi.org/10.1016/j.bbr.2008.11.012
   PubMed Web of Science ®Google Scholar
• Fayol, M., Perros, H., & Seron, X. (2004). Les représentations numériques : Caractéristiques, troubles, développement. SOLAL.
   Google Scholar
• Feigenson, L., Dehaene, S., & Spelke, E. (2004). Core systems of number. Trends in Cognitive Sciences, 8(7), 307–314. https://doi.org/10.1016/j.tics.2004.05.002
   PubMed Web of Science ®Google Scholar
• Ferreira, F., de, O., Wood, G., Pinheiro-Chagas, P., Lonnemann, J., Krinzinger, H., Willmes, K., & Haase, V. G. (2012). Explaining school mathematics performance from symbolic and nonsymbolic magnitude processing : Similarities and differences between typical and low-achieving children. Psychology & Neuroscience, 5(1), 37–046. https://doi.org/10.3922/j.psns.2012.1.06
   Google Scholar
• Fias, W., & van Dijck, J.-P. (2016). The temporary nature of number-space interactions. Canadian Journal of Experimental Psychology = Revue canadienne de psychologie experimentale, 70(1), 33–40. https://doi.org/10.1037/cep0000071
   PubMed Web of Science ®Google Scholar
• Fonov, V., Evans, A., McKinstry, R., Almli, C., & Collins, D. (2009). Unbiased nonlinear average age-appropriate brain templates from birth to adulthood. NeuroImage, 47, S102. https://doi.org/10.1016/S1053-8119(09)70884-5
   Google Scholar
• Geary, D. C. (2004). Mathematics and Learning Disabilities. Journal of Learning Disabilities, 37(1), 4–15. https://doi.org/10.1177/00222194040370010201
   PubMed Web of Science ®Google Scholar
• Geary, D. C., Brown, S. C., & Samaranayake, V. A. (1991). Cognitive addition : A short longitudinal study of strategy choice and speed-of-processing differences in normal and mathematically disabled children. Developmental Psychology, 27(5), 787–797. https://doi.org/10.1037/0012-1649.27.5.787
   Web of Science ®Google Scholar
• Gebuis, T., & Reynvoet, B. (2012). The role of visual information in numerosity estimation. PLoS One, 7(5), e37426. https://doi.org/10.1371/journal.pone.0037426
   PubMed Web of Science ®Google Scholar
• Gilmore, C., Cragg, L., Hogan, G., & Inglis, M. (2016). Congruency effects in dot comparison tasks : Convex hull is more important than dot area. Journal of Cognitive Psychology (Hove, England), 28(8), 923–931. https://doi.org/10.1080/20445911.2016.1221828
   PubMed Web of Science ®Google Scholar
• Goffin, C., & Ansari, D. (2016). Beyond magnitude : Judging ordinality of symbolic number is unrelated to magnitude comparison and independently relates to individual differences in arithmetic. Cognition, 150, 68–76. https://doi.org/10.1016/j.cognition.2016.01.018
   PubMed Web of Science ®Google Scholar
• Guelfi, J.-D. (2004). Mini DSM-IV-TR : Critères diagnostiques. Elsevier Masson.
   Google Scholar
• Gunderson, E. A., Ramirez, G., Beilock, S. L., & Levine, S. C. (2012). The relation between spatial skill and early number knowledge : The role of the linear number line. Developmental Psychology, 48(5), 1229–1241. https://doi.org/10.1037/a0027433
   PubMed Web of Science ®Google Scholar
• Halberda, J., & Feigenson, L. (2008). Developmental change in the acuity of the “Number Sense”: The Approximate Number System in 3-, 4-, 5-, and 6-year-olds and adults . Developmental Psychology, 44(5), 1457–1465. https://doi.org/10.1037/a0012682
   PubMed Web of Science ®Google Scholar
• Hawes, Z., Sokolowski, H. M., Ononye, C. B., & Ansari, D. (2019). Neural underpinnings of numerical and spatial cognition: An fMRI meta-analysis of brain regions associated with symbolic number, arithmetic, and mental rotation. Neuroscience and Biobehavioral Reviews, 103, 316–336. https://doi.org/10.1016/j.neubiorev.2019.05.007
   PubMed Web of Science ®Google Scholar
• Heilman, K. M., Maher, L. M., Greenwald, M. L., & Rothi, L. J. (1997). Conceptual apraxia from lateralized lesions. Neurology, 49(2), 457–464. https://doi.org/10.1212/wnl.49.2.457
   PubMed Web of Science ®Google Scholar
• Hubbard, E. M., Piazza, M., Pinel, P., & Dehaene, S. (2005). Interactions between number and space in parietal cortex. Nature Reviews. Neuroscience, 6(6), 435–448. https://doi.org/10.1038/nrn1684
   PubMed Web of Science ®Google Scholar
• Jolles, D., Ashkenazi, S., Kochalka, J., Evans, T., Richardson, J., Rosenberg-Lee, M., Zhao, H., Supekar, K., Chen, T., & Menon, V. (2016). Parietal hyper-connectivity, aberrant brain organization, and circuit-based biomarkers in children with mathematical disabilities. Developmental Science, 19(4), 613–631. https://doi.org/10.1111/desc.12399
   PubMed Web of Science ®Google Scholar
• Jonides, J., & Nee, D. E. (2006). Brain mechanisms of proactive interference in working memory. Neuroscience, 139(1), 181–193. https://doi.org/10.1016/j.neuroscience.2005.06.042
   PubMed Web of Science ®Google Scholar
• Kucian, K., Grond, U., Rotzer, S., Henzi, B., Schönmann, C., Plangger, F., Gälli, M., Martin, E., & von Aster, M. (2011). Mental number line training in children with developmental dyscalculia. NeuroImage, 57(3), 782–795. https://doi.org/10.1016/j.neuroimage.2011.01.070
   PubMed Web of Science ®Google Scholar
• Kucian, K., Loenneker, T., Dietrich, T., Dosch, M., Martin, E., & von Aster, M. (2006). Impaired neural networks for approximate calculation in dyscalculic children : A functional MRI study. Behavioral and Brain Functions: BBF, 2(1), 31. https://doi.org/10.1186/1744-9081-2-31
   PubMedGoogle Scholar
• Kucian, K., & von Aster, M. (2015). Developmental dyscalculia. European Journal of Pediatrics, 174(1), 1–13. https://doi.org/10.1007/s00431-014-2455-7
   PubMed Web of Science ®Google Scholar
• Lafay, A. (2016). Déficits cognitifs numériques impliqués dans la dyscalculie développementale.
   Google Scholar
• Lafay, A., Saint-Pierre, M.-C., & Macoir, J. (2015). Revue narrative de littérature relative aux troubles cognitifs numériques impliqués dans la dyscalculie développementale : Déficit du sens du nombre ou déficit de l’accès aux représentations numériques mentales? Canadian Psychology/Psychologie canadienne, 56(1), 96–107. https://doi.org/10.1037/a0037264
   Google Scholar
• Lafay, A., St-Pierre, M.-C., & Macoir, J. (2017). The Mental Number Line in Dyscalculia : Impaired Number Sense or Access From Symbolic Numbers? Journal of Learning Disabilities, 50(6), 672–683. https://doi.org/10.1177/0022219416640783
   PubMed Web of Science ®Google Scholar
• Lafay, A., St-Pierre, M.-C., & Macoir, J. (2019). Impairment of non-symbolic number processing in children with mathematical learning disability. Journal of Numerical Cognition, 5(1), 86–104. https://doi.org/10.5964/jnc.v5i1.177
   Google Scholar
• Landerl, K., Bevan, A., & Butterworth, B. (2004). Developmental dyscalculia and basic numerical capacities: A study of 8-9-year-old students. Cognition, 93(2), 99–125. https://doi.org/10.1016/j.cognition.2003.11.004
   PubMed Web of Science ®Google Scholar
• Landerl, K., & Kölle, C. (2009). Typical and atypical development of basic numerical skills in elementary school. Journal of Experimental Child Psychology, 103(4), 546–565. https://doi.org/10.1016/j.jecp.2008.12.006
   PubMed Web of Science ®Google Scholar
• Leibovich, T., & Henik, A. (2013). Magnitude processing in non-symbolic stimuli. Frontiers in Psychology, 4, 375. https://doi.org/10.3389/fpsyg.2013.00375
   PubMed Web of Science ®Google Scholar
• Leibovich, T., Katzin, N., Harel, M., & Henik, A. (2017). From “sense of number” to “sense of magnitude”: The role of continuous magnitudes in numerical cognition. Behavioral and Brain Sciences, 40, 1–62. https://doi.org/10.1017/S0140525X16000960
   Web of Science ®Google Scholar
• Lourenco, S. F., Bonny, J. W., Fernandez, E. P., & Rao, S. (2012). Nonsymbolic number and cumulative area representations contribute shared and unique variance to symbolic math competence. Proceedings of the National Academy of Sciences of the United States of America, 109(46), 18737–18742. https://doi.org/10.1073/pnas.1207212109
   PubMed Web of Science ®Google Scholar
• Mazzocco, M. M., Feigenson, L., & Halberda, J. (2011). Preschoolers’ precision of the approximate number system predicts later school mathematics performance. PLoS One, 6(9), e23749. https://doi.org/10.1371/journal.pone.0023749
   PubMed Web of Science ®Google Scholar
• Mazzocco, M. M. M., Feigenson, L., & Halberda, J. (2011). Impaired acuity of the approximate number system underlies mathematical learning disability (dyscalculia): Impaired numerical acuity contributes to MLD. Child Development, 82(4), 1224–1237. https://doi.org/10.1111/j.1467-8624.2011.01608.x
   PubMed Web of Science ®Google Scholar
• McCaskey, U., von Aster, M., Maurer, U., Martin, E., O’Gorman Tuura, R., & Kucian, K. (2017). Longitudinal brain development of numerical skills in typically developing children and children with developmental dyscalculia. Frontiers in Human Neuroscience, 11, 629. https://doi.org/10.3389/fnhum.2017.00629
   PubMed Web of Science ®Google Scholar
• McCaskey, U., von Aster, M., O’Gorman, R., & Kucian, K. (2020). Persistent differences in brain structure in developmental dyscalculia: A longitudinal morphometry study. Frontiers in Human Neuroscience, 14, 272. https://doi.org/10.3389/fnhum.2020.00272
   PubMed Web of Science ®Google Scholar
• Mejias, S., Mussolin, C., Rousselle, L., Grégoire, J., & Noël, M.-P. (2012). Numerical and nonnumerical estimation in children with and without mathematical learning disabilities. Child Neuropsychology : A Journal on Normal and Abnormal Development in Childhood and Adolescence, 18(6), 550–575. https://doi.org/10.1080/09297049.2011.625355
   PubMed Web of Science ®Google Scholar
• Michels, L., O’Gorman, R., & Kucian, K. (2018). Functional hyperconnectivity vanishes in children with developmental dyscalculia after numerical intervention. Developmental Cognitive Neuroscience, 30, 291–303. https://doi.org/10.1016/j.dcn.2017.03.005
   PubMed Web of Science ®Google Scholar
• Moeller, K., Neuburger, S., Kaufmann, L., Landerl, K., & Nuerk, H.-C. (2009). Basic number processing deficits in developmental dyscalculia: Evidence from eye tracking. Cognitive Development, 24(4), 371–386. https://doi.org/10.1016/j.cogdev.2009.09.007
   Web of Science ®Google Scholar
• Morsanyi, K., van Bers, B. M. C. W., O’Connor, P. A., & McCormack, T. (2018). Developmental dyscalculia is characterized by order processing deficits: Evidence from numerical and non-numerical ordering tasks. Developmental Neuropsychology, 43(7), 595–621. https://doi.org/10.1080/87565641.2018.1502294
   PubMed Web of Science ®Google Scholar
• Mussolin, C., De Volder, A., Grandin, C., Schlögel, X., Nassogne, M.-C., & Noël, M.-P. (2010). Neural correlates of symbolic number comparison in developmental dyscalculia. Journal of Cognitive Neuroscience, 22(5), 860–874. https://doi.org/10.1162/jocn.2009.21237
   PubMed Web of Science ®Google Scholar
• Odic, D., Libertus, M. E., Feigenson, L., & Halberda, J. (2013). Developmental change in the acuity of approximate number and area representations. Developmental Psychology, 49(6), 1103–1112. https://doi.org/10.1037/a0029472
   PubMed Web of Science ®Google Scholar
• Ogawa, A., Yamazaki, Y., Ueno, K., Cheng, K., & Iriki, A. (2010). Neural correlates of species-typical illogical cognitive bias in human inference. Journal of Cognitive Neuroscience, 22(9), 2120–2130. https://doi.org/10.1162/jocn.2009.21330
   PubMed Web of Science ®Google Scholar
• Piaget, J. (2013). Child’s conception of number: Selected works (Vol. 2). Routledge.
   Google Scholar
• Piazza, M., Facoetti, A., Trussardi, A. N., Berteletti, I., Conte, S., Lucangeli, D., Dehaene, S., & Zorzi, M. (2010). Developmental trajectory of number acuity reveals a severe impairment in developmental dyscalculia. Cognition, 116(1), 33–41. https://doi.org/10.1016/j.cognition.2010.03.012
   PubMed Web of Science ®Google Scholar
• Piazza, M., Pica, P., Izard, V., Spelke, E. S., & Dehaene, S. (2013). Education enhances the acuity of the nonverbal approximate number system. Psychological Science, 24(6), 1037–1043. https://doi.org/10.1177/0956797612464057
   PubMed Web of Science ®Google Scholar
• 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. Journal of Neuroscience, 33(1), 156–163. https://doi.org/10.1523/JNEUROSCI.2936-12.2013
   PubMed Web of Science ®Google Scholar
• Price, G. R., Holloway, I., Räsänen, P., Vesterinen, M., & Ansari, D. (2007). Impaired parietal magnitude processing in developmental dyscalculia. Current Biology : CB, 17(24), R1042–R1043. https://doi.org/10.1016/j.cub.2007.10.013
   PubMed Web of Science ®Google Scholar
• Rotzer, S., Kucian, K., Martin, E., Aster, M., von Klaver, P., & Loenneker, T. (2008). Optimized voxel-based morphometry in children with developmental dyscalculia. NeuroImage, 39(1), 417–422. https://doi.org/10.1016/j.neuroimage.2007.08.045
   PubMed Web of Science ®Google Scholar
• Rubinsten, O., Henik, A., Berger, A., & Shahar-Shalev, S. (2002). The development of internal representations of magnitude and their association with Arabic numerals. Journal of Experimental Child Psychology, 81(1), 74–92. https://doi.org/10.1006/jecp.2001.2645
   PubMed Web of Science ®Google Scholar
• Schleifer, P., & Landerl, K. (2011). Subitizing and counting in typical and atypical development. Developmental Science, 14(2), 280–291. https://doi.org/10.1111/j.1467-7687.2010.00976.x
   PubMed Web of Science ®Google Scholar
• Schwenk, C., Sasanguie, D., Kuhn, J.-T., Kempe, S., Doebler, P., & Holling, H. (2017). (Non-) symbolic magnitude processing in children with mathematical difficulties : A meta-analysis. Research in Developmental Disabilities, 64, 152–167. https://doi.org/10.1016/j.ridd.2017.03.003
   PubMed Web of Science ®Google Scholar
• Shalev, R. S., Manor, O., & Gross-Tsur, V. (2005). Developmental dyscalculia: A prospective six-year follow-up. Developmental Medicine & Child Neurology, 47(2), 121–125. https://doi.org/10.1017/S0012162205000216
   PubMed Web of Science ®Google Scholar
• Skagerlund, K., & Träff, U. (2014). Development of magnitude processing in children with developmental dyscalculia: Space, time, and number. Frontiers in Psychology, 5, 675. https://doi.org/10.3389/fpsyg.2014.00675
   PubMed Web of Science ®Google Scholar
• Sokolowski, H. M., Fias, W., Mousa, A., & Ansari, D. (2017). Common and distinct brain regions in both parietal and frontal cortex support symbolic and nonsymbolic number processing in humans : A functional neuroimaging meta-analysis. NeuroImage, 146, 376–394. https://doi.org/10.1016/j.neuroimage.2016.10.028
   PubMed Web of Science ®Google Scholar
• Starkey, P., & Cooper, R. G. Jr, (1995). The development of subitizing in young children. British Journal of Developmental Psychology, 13(4), 399–420. https://doi.org/10.1111/j.2044-835X.1995.tb00688.x
   Web of Science ®Google Scholar
• Szucs, D., Devine, A., Soltesz, F., Nobes, A., & Gabriel, F. (2013). Developmental dyscalculia is related to visuo-spatial memory and inhibition impairment. Cortex; A Journal Devoted to the Study of the Nervous System and Behavior, 49(10), 2674–2688. https://doi.org/10.1016/j.cortex.2013.06.007
   PubMed Web of Science ®Google Scholar
• Ullman, M. T., & Pierpont, E. I. (2005). Specific language impairment is not specific to language : The procedural deficit hypothesis. Cortex, 41(3), 399–433. https://doi.org/10.1016/S0010-9452(08)70276-4
   PubMed Web of Science ®Google Scholar
• Von Aster, M. G., & Shalev, R. S. (2007). Number development and developmental dyscalculia. Developmental Medicine & Child Neurology, 49(11), 868–873. https://doi.org/10.1111/j.1469-8749.2007.00868.x
   PubMed Web of Science ®Google Scholar
• Voss, J. L., & Paller, K. A. (2010). Real-time neural signals of perceptual priming with unfamiliar geometric shapes. Journal of Neuroscience, 30(27), 9181–9188. https://doi.org/10.1523/JNEUROSCI.0403-10.2010
   PubMed Web of Science ®Google Scholar
• Walsh, V. (2003). A theory of magnitude: Common cortical metrics of time, space and quantity. Trends in Cognitive Sciences, 7(11), 483–488. https://doi.org/10.1016/j.tics.2003.09.002
   PubMed Web of Science ®Google Scholar
• Wilson, A. J., & Dehaene, S. (2007). Number sense and developmental dyscalculia. In D. Coch, G. Dawson, & K. W. Fischer (Eds.), Human behavior, learning, and the developing brain: Atypical development (pp. 212–238). The Guilford Press.
   Google Scholar