Cognitive subtypes of mathematics learning difficulties in primary education

Andersson, 2007, Working memory deficit in children with mathematical difficulties: A general or specific deficit?, Journal of Experimental Child Psychology, 96, 197, 10.1016/j.jecp.2006.10.001 Andersson, 2012, Number magnitude processing and basic cognitive functions in children with mathematical learning disabilities, Learning and Individual Differences, 22, 701, 10.1016/j.lindif.2012.05.004 Barbaresi, 2005, Math learning disorder: Incidence in a population-based birth cohort, 1976–82, Rochester, Minn, Ambulatory Pediatrics, 5, 281, 10.1367/A04-209R.1 Blomert, 2013 Butterworth, 2010, Foundational numerical capacities and the origins of dyscalculia, Trends in Cognitive Sciences, 14, 534, 10.1016/j.tics.2010.09.007 Cordes, 2005, The young numerical mind: When does it count?, 127 D’Amico, 2005, Exploring working memory in children with low arithmetical achievement, Learning and Individual Differences, 15, 189, 10.1016/j.lindif.2005.01.002 De Smedt, 2011, Defective number module or impaired access? Numerical magnitude processing in first graders with mathematical difficulties, Journal of Experimental Child Psychology, 108, 278, 10.1016/j.jecp.2010.09.003 De Vos, 2010 Dehaene, 1992, Varieties of numerical abilities, Cognition, 44, 1, 10.1016/0010-0277(92)90049-N Dehaene, 2011 Desoete, 2004, Children with mathematics learning disabilities in Belgium, Journal of Learning Disabilities, 37, 50, 10.1177/00222194040370010601 Dowker, 2005 Ebersbach, 2013, Comparing apples and pears in studies on magnitude estimations, Frontiers in Psychology, 4, 1 Fayol, 2005, About numerical representations: Insights from neuropsychological, experimental, and developmental studies, 3 Fias, 2013, Multiple components of developmental dyscalculia, Trends in Neuroscience and Education, 2, 43, 10.1016/j.tine.2013.06.006 Geary, 1993, Mathematical disabilities: Cognitive, neuropsychological, and genetic components, Psychological Bulletin, 114, 345, 10.1037/0033-2909.114.2.345 Geary, 2004, Mathematics and learning disabilities, Journal of Learning Disabilities, 37, 4, 10.1177/00222194040370010201 Geary, 2007, Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability, Child Development, 78, 1343, 10.1111/j.1467-8624.2007.01069.x Geary, 2010, Mathematical disabilities: Reflections on cognitive, neuropsychological, and genetic components, Learning and Individual Differences, 20, 130, 10.1016/j.lindif.2009.10.008 Geary, 2011, Consequences, characteristics, and causes of mathematical learning disabilities and persistent low achievement in mathematics, Journal of Developmental and Behavioral Pediatrics, 32, 250, 10.1097/DBP.0b013e318209edef Geary, 2012, Fact retrieval deficits in low achieving children and children with mathematical learning disability, Journal of Learning Disabilities, 45, 291, 10.1177/0022219410392046 Gross-Tsur, 1996, Developmental dyscalculia: Prevalence and demographic features, Developmental Medicine & Child Neurology, 38, 25, 10.1111/j.1469-8749.1996.tb15029.x Huntley-Fenner, 2001, Children's understanding of number is similar to adults’ and rats’: Numerical estimation by 5–7-year-olds, Cognition, 78, B27, 10.1016/S0010-0277(00)00122-0 Inglis, 2014, Indexing the approximate number system, Acta Psychologica, 145, 147, 10.1016/j.actpsy.2013.11.009 Iuculano, 2008, Core information processing deficits in developmental dyscalculia and low numeracy, Developmental Science, 11, 669, 10.1111/j.1467-7687.2008.00716.x Jolliffe, 1986 Jordan, 2003, A longitudinal study of mathematical competencies in children with specific mathematics difficulties versus children with comorbid mathematics and reading difficulties, Child Development, 74, 834, 10.1111/1467-8624.00571 Kaufmann, 2005, Numerical development: Current issues and future perspectives, Psychology Science, 47, 142 Kavale, 2000, What definitions of learning disability say and don’t say: A critical analysis, Journal of Learning Disabilities, 33, 239, 10.1177/002221940003300303 King, 2007, Subtyping of persons with developmental dyslexia via bootstrap aggregated clustering and the gap statistic: Comparison with the double-deficit hypothesis, International Journal of Language & Communication Disorders, 42, 77, 10.1080/13682820600806680 Kramer, 2010, Defective number module or access deficit – two different subtypes of dyscalculia? Kyttälä, 2010, Working memory resources in young children with mathematical difficulties, Scandinavian Journal of Psychology, 51, 1, 10.1111/j.1467-9450.2009.00736.x Landerl, 2004, Developmental dyscalculia and basic numerical capacities: A study of 8- to 9-year-old students, Cognition, 93, 99, 10.1016/j.cognition.2003.11.004 Landerl, 2009, Dyslexia and dyscalculia: Two learning disorders with different cognitive profiles, Journal of Experimental Child Psychology, 103, 309, 10.1016/j.jecp.2009.03.006 Landerl, 2013, Development of numerical processing in children with typical and dyscalculic arithmetic skills – A longitudinal study, Frontiers in Psychology, 4, 1 Lyons, 2012, Symbolic estrangement: Evidence against a strong association between numerical symbols and the quantities they represent, Journal of Experimental Psychology: General, 141, 635, 10.1037/a0027248 MacCallum, 1999, Sample size in factor analysis, Psychological Methods, 4, 84, 10.1037/1082-989X.4.1.84 Maloney, 2010, Challenging the reliability and validity of cognitive measures: The case of the numerical distance effect, Acta Psychologica, 134, 154, 10.1016/j.actpsy.2010.01.006 MathWorks, 1999 Mazzocco, 2001, Math learning disability and math LD subtypes: Evidence from studies of turner syndrome, fragile x syndrome, and neurofibromatosis type 1, Journal of Learning Disabilities, 34, 520, 10.1177/002221940103400605 Mazzocco, 2003, Complexities in identifying and defining mathematics learning disability in the primary school-age years, Annals of Dyslexia, 53, 218, 10.1007/s11881-003-0011-7 Mazzocco, 2011, Impaired acuity of the approximate number system underlies mathematical learning disability (dyscalculia), Child Development, 82, 1224, 10.1111/j.1467-8624.2011.01608.x Mazzocco, 2013, Contributions of longitudinal studies to evolving definitions and knowledge of developmental dyscalculia, Trends in Neuroscience and Education, 2, 65, 10.1016/j.tine.2013.05.001 McLean, 1999, Working memory impairments in children with specific arithmetic learning difficulties, Journal of Experimental Child Psychology, 74, 240, 10.1006/jecp.1999.2516 Mejias, 2012, Numerical and nonnumerical estimation in children with and without mathematical learning disabilities, Child Neuropsychology: A Journal of Normal and Abnormal Development in Childhood and Adolescence, 18, 550, 10.1080/09297049.2011.625355 Moeller, 2012, Diagnostics and Intervention in developmental dyscalculia: Current issues and novel perspectives, 233 Mooi, 2011, 237 Moyer, 1976, Mental comparison and the symbolic distance effect, Cognitive Psychology, 8, 228, 10.1016/0010-0285(76)90025-6 Mundy, 2009, Children's mapping between symbolic and nonsymbolic representations of number, Journal of Experimental Child Psychology, 103, 490, 10.1016/j.jecp.2009.02.003 Mussolin, 2010, Symbolic and nonsymbolic number comparison in children with and without dyscalculia, Cognition, 115, 10, 10.1016/j.cognition.2009.10.006 Passolunghi, 2010, Spatial and visual working memory ability in children with difficulties in arithmetic word problem solving, European Journal of Cognitive Psychology, 22, 944, 10.1080/09541440903091127 Piazza, 2010, Neurocognitive start-up tools for symbolic number representations, Trends in Cognitive Sciences, 14, 542, 10.1016/j.tics.2010.09.008 Price, 2012, Developmental dyscalculia: A case for neuroscience in education, 45 Price, 2012, Nonsymbolic numerical magnitude comparison: Reliability and validity of different task variants and outcome measures, and their relationship to arithmetic achievement in adults, Acta Psychologica, 140, 50, 10.1016/j.actpsy.2012.02.008 Price, 2013, Dyscalculia: Characteristics, causes, and treatments, Numeracy: Advancing Education in Quantitative Literacy, 6, 10.5038/1936-4660.6.1.2 Primi, 2010, Fluid intelligence as a predictor of learning: A longitudinal multilevel approach applied to math, Learning and Individual Differences, 20, 446, 10.1016/j.lindif.2010.05.001 Raven, 1995 Rosselli, 2010, Memory abilities in children with subtypes of dyscalculia, Developmental Neuropsychology, 30, 801, 10.1207/s15326942dn3003_3 Rourke, 1993, Arithmetic disabilities, specific and otherwise: A neuropsychological perspective, Journal of Learning Disabilities, 26, 214, 10.1177/002221949302600402 Rousselle, 2007, Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs non-symbolic number magnitude processing, Cognition, 102, 361, 10.1016/j.cognition.2006.01.005 Rubinsten, 2009, Developmental dyscalculia: Heterogeneity might not mean different mechanisms, Trends in Cognitive Sciences, 13, 92, 10.1016/j.tics.2008.11.002 Salthouse, 2002, Interpreting reaction time measures in between-group comparisons, Journal of Clinical and Experimental Neuropsychology, 24, 858, 10.1076/jcen.24.7.858.8392 Schleifer, 2011, Subitizing and counting in typical and atypical development, Developmental Science, 14, 280, 10.1111/j.1467-7687.2010.00976.x Shalev, 1997, Neuropsychological aspects of developmental dyscalculia, Mathematical Cognition, 3, 105, 10.1080/135467997387434 Siegler, 2004, Development of numerical estimation in young children, Child Development, 75, 428, 10.1111/j.1467-8624.2004.00684.x Siegler, 2005, Development of numerical estimation: A review, 197 Skinner, 1981, Toward the integration of classification theory and methods, Journal of Abnormal Psychology, 90, 68, 10.1037/0021-843X.90.1.68 Slusser, 2013, Developmental change in numerical estimation, Journal of Experimental Psychology: General, 142, 193, 10.1037/a0028560 Steinley, 2003, Local optima in K-means clustering: What you don’t know may hurt you, Psychological Methods, 8, 294, 10.1037/1082-989X.8.3.294 Stuebing, 2002, Validity of IQ-discrepancy classifications of reading disabilities: A meta-analysis, American Educational Research Journal, 39, 469, 10.3102/00028312039002469 Szücs, 2013, Developmental dyscalculia is related to visuo-spatial memory and inhibition impairment, Cortex, 10.1016/j.cortex.2013.06.007 Szücs, 2013, Visual stimulus parameters seriously compromise the measurement of approximate number system acuity and comparative effects between adults and children, Frontiers in Psychology, 4, 1 Vaessen, 2010, Cognitive development of fluent word reading does not qualitatively differ between transparent and opaque orthographies, Journal of Educational Psychology, 102, 827, 10.1037/a0019465 Von Aster, 2000, Developmental cognitive neuropsychology of number processing and calculation: Varieties of developmental dyscalculia, European Child & Adolescent Psychiatry, 9, S41, 10.1007/s007870070008 Von Aster, 2007, Number development and developmental dyscalculia, Developmental Medicine & Child Neurology, 49, 868, 10.1111/j.1469-8749.2007.00868.x Wilson, 2007, Number sense and developmental dyscalculia, 212