Exploring the impact of phonological awareness, visual–spatial working memory, and preschool quantity–number competencies on mathematics achievement in elementary school: Findings from a 3-year longitudinal study

Alloway, 2005, Working memory and phonological awareness as predictors of progress towards early learning goals at school entry, British Journal of Developmental Psychology, 23, 417, 10.1348/026151005X26804

Ansari, 2003, What makes counting count? Verbal and visuo–spatial contributions to typical and atypical number development, Journal of Experimental Child Psychology, 85, 50, 10.1016/S0022-0965(03)00026-2

Antell, 1983, Perception of numerical invariance in neonates, Child Development, 54, 695, 10.2307/1130057

Aunola, 2004, Developmental dynamics of mathematical performance from preschool to grade 2, Journal of Educational Psychology, 96, 699, 10.1037/0022-0663.96.4.699

Baddeley, 1986

Berg, 2008, Working memory and arithmetic calculation in children: The contributory roles of processing speed, short-term memory, and reading, Journal of Experimental Child Psychology, 99, 288, 10.1016/j.jecp.2007.12.002

Bijeljac-Babic, 1993, How do four-day-old infants categorize multisyllabic utterances?, Developmental Psychology, 29, 711, 10.1037/0012-1649.29.4.711

Bradley, 1985

Bull, 2008, Short-term memory, working memory, and executive functioning in preschoolers: Longitudinal predictors of mathematical achievement at age 7 years, Developmental Neuropsychology, 33, 205, 10.1080/87565640801982312

Cattell, 1997

Clearfield, 1999, Number versus contour length in infants‘ discrimination of small visual sets, Psychological Science, 10, 408, 10.1111/1467-9280.00177

Clearfield, 2001, Amount versus number: Infants’ use of area and contour length to discriminate small sets, Journal of Cognition and Development, 2, 243, 10.1207/S15327647JCD0203_1

Daneman, 1987, Reading and working memory, 57

Durand, 2005, The cognitive foundations of reading and arithmetic skills in 7- to 10-year-olds, Journal of Experimental Child Psychology, 91, 113, 10.1016/j.jecp.2005.01.003

Feigenson, 2002, Infants’ discrimination of number vs Continuous extent, Cognitive Psychology, 44, 33, 10.1006/cogp.2001.0760

Fuchs, 2005, The prevention, identification, and cognitive determinants of math difficulty, Journal of Educational Psychology, 97, 493, 10.1037/0022-0663.97.3.493

Fuchs, 2006, The cognitive correlates of third-grade skill in arithmetic, algorithmic computation, and arithmetic word problems, Journal of Educational Psychology, 98, 29, 10.1037/0022-0663.98.1.29

Fuson, 1988

Gaupp, 2004, Defizite numerischer Basiskompetenzen bei rechenschwachen Kindern der 3 und 4 Klassenstufe, Zeitschrift für Pädagogische Psychologie, 18, 31, 10.1024/1010-0652.18.1.31

Geary, 1993, Mathematical disabilities: Cognitive, neuropsychological, and genetic components, Psychological Bulletin, 114, 345, 10.1037/0033-2909.114.2.345

Geary, 1991, Cognitive addition: A short longitudinal study of strategy choice and speed-of-processing differences in normal and mathematically disabled children, Developmental Psychology, 27, 787, 10.1037/0012-1649.27.5.787

Geary, 2000, Numerical and arithmetical cognition: A longitudinal study of process and concept deficits in children with learning disability, Journal of Experimental Child Psychology, 77, 236, 10.1006/jecp.2000.2561

Geary, 2001, Numerical and arithmetical deficits in learning-disabled children: Relation to dyscalculia and dyslexia, Aphasiology, 15, 635, 10.1080/02687040143000113

Geary, 2004, Strategy choices in simple and complex addition: Contributions of working memory and counting knowledge for children with mathematical disability, Journal of Experimental Child Psychology, 88, 121, 10.1016/j.jecp.2004.03.002

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

Gersten, 2005, Early identification and interventions for students with mathematics difficulties, Journal of Learning Disabilities, 38, 293, 10.1177/00222194050380040301

Hecht, 2001, The relations between phonological processing abilities and emerging individual differences in mathematical computation skills: A longitudinal study from second to fifth grades, Journal of Experimental Child Psychology, 79, 192, 10.1006/jecp.2000.2586

Huntley-Fenner, 2000, Preschoolers’ magnitude comparisons are mediated by a preverbal analog mechanism, Psychological Science, 11, 147, 10.1111/1467-9280.00230

Jordan, 2007, Predicting first-grade math achievement from developmental number sense trajectories, Learning Disabilities Research and Practice, 22, 36, 10.1111/j.1540-5826.2007.00229.x

Koponen, 2007, Cognitive predictors of single-digit and procedural calculation skills and their covariation with reading skill, Journal of Experimental Child Psychology, 97, 220, 10.1016/j.jecp.2007.03.001

Krajewski, 2008, Vorschulische Förderung mathematischer Kompetenzen, 275

Krajewski, K., & Schneider, W. (in press). Early development of quantity to number-word linkage as a precursor of mathematical school achievement and mathematical difficulties: Findings from a four-year longitudinal study. Learning and Instruction. doi: 10.1016/j.learninstruc.2008.10.002.

Krajewski, 2004

Landerl, 2004, Developmental dyscalculia and basic numerical capacities: A study of 8–9-year-old students, Cognition, 93, 99, 10.1016/j.cognition.2003.11.004

Leather, 1994, Working memory span and phonological awareness tasks as predictors of early reading ability, Journal of Experimental Child Psychology, 58, 88, 10.1006/jecp.1994.1027

Lee, 2004, Working memory and literacy as predictors of performance on algebraic word problems, Journal of Experimental Child Psychology, 89, 140, 10.1016/j.jecp.2004.07.001

Lemaire, 1996, The role of working memory resources in simple cognitive arithmetic, European Journal of Cognitive Psychology, 8, 73, 10.1080/095414496383211

Lemer, 2003, Approximate quantities and exact number words: Dissociable systems, Neuropsychologia, 41, 1942, 10.1016/S0028-3932(03)00123-4

Lenhard, 2006

Logie, 1994, Counting on working memory in arithmetic problem solving, Memory and Cognition, 22, 395, 10.3758/BF03200866

Lundberg, 1988, Effects of an extensive program for stimulating phonological awareness in preschool children, Reading Research Quarterly, 23, 263, 10.1598/RRQ.23.3.1

Milner, 1971, Interhemisphere differences in the localization of psychological processes in man, British Medical Bulletin, 27, 272, 10.1093/oxfordjournals.bmb.a070866

Mix, 1996, Do preschool children recognize auditory–visual numerical correspondences?, Child Development, 67, 1592, 10.2307/1131720

Mix, 2002, Numerical abstraction in infants: Another look, Developmental Psychology, 33, 423, 10.1037/0012-1649.33.3.423

Okamoto, 1996, Exploring the microstructure of children’s central conceptual structures in the domain of number, Monographs of the Society for Research in Child Development, 61, 27, 10.1111/j.1540-5834.1996.tb00536.x

Passolunghi, 2004, Working memory and access to numerical information in children with disability in mathematics, Journal of Experimental Child Psychology, 88, 348, 10.1016/j.jecp.2004.04.002

Passolunghi, 2007, The precursors of mathematics learning: Working memory, phonological ability, and numerical competence, Cognitive Development, 22, 165, 10.1016/j.cogdev.2006.09.001

Rammelaere, 2001, Verifying simple arithmetic sums and products: Are the phonological loop and the central executive involved?, Memory and Cognition, 29, 267, 10.3758/BF03194920

Rasmussen, 2005, Representation and working memory in early arithmetic, Journal of Experimental Child Psychology, 91, 137, 10.1016/j.jecp.2005.01.004

Resnick, 1989, Developing mathematical knowledge, American Psychologist, 44, 162, 10.1037/0003-066X.44.2.162

Rousselle, 2004, Magnitude comparison in preschoolers: What counts? Influence of perceptual variables, Journal of Experimental Child Psychology, 87, 57, 10.1016/j.jecp.2003.10.005

Schneider, 2009, The development of reading and spelling: Relevant precursors, developmental changes, and individual differences, 199

Schneider, 1997, Short- and long-term effects of training phonological awareness in kindergarten: Evidence from two German studies, Journal of Experimental Child Psychology, 66, 311, 10.1006/jecp.1997.2384

Schneider, 1999, The impact of early phonological processing on reading and spelling in school: Evidence from the Munich Longitudinal Study, 126

Schneider, 2000, Training phonological skills and letter knowledge in children at risk for dyslexia: A comparison of three kindergarten training programs, Journal of Educational Psychology, 92, 284, 10.1037/0022-0663.92.2.284

Schuchardt, 2006, Arbeitsgedächtnisdefizite bei Kindern mit schwachen Rechen- und Schriftsprachleistungen, Zeitschrift für Pädagogische Psychologie, 20, 261, 10.1024/1010-0652.20.4.261

Seitz, 2002, Phonological loop and central executive processes in mental addition and multiplication, Psychologische Beiträge, 44, 275

Simmons, 2008, Do weak phonological representations impact on arithmetic development? A review of research into arithmetic and dyslexia, Dyslexia, 14, 77, 10.1002/dys.341

Simmons, 2008, Phonological awareness and visual–spatial sketchpad functioning predict early arithmetic attainment: Evidence from a longitudinal study, European Journal of Cognitive Psychology, 20, 711, 10.1080/09541440701614922

Simon, 1995, Do infants understand simple arithmetic? A replication of Wynn (1992), Cognitive Development, 10, 253, 10.1016/0885-2014(95)90011-X

Starkey, 1980, Perception of numbers by human infants, Science, 210, 1033, 10.1126/science.7434014

Stern, 1997, Early training: Who, what, when, why, and how?, 239

Stern, 1999, Development of mathematical competencies, 154

Stock, 2008

Swan, 1997, Picture naming deficits in developmental dyslexia: The phonological representation hypothesis, Brain and Language, 56, 334, 10.1006/brln.1997.1855

Swanson, 2006, Cognitive processes that underlie mathematical precociousness in young children, Journal of Experimental Child Psychology, 93, 239, 10.1016/j.jecp.2005.09.006

Swanson, 2004, The relationship between working memory and mathematical problem solving in children at risk and not at risk for serious math difficulties, Journal of Educational Psychology, 96, 471, 10.1037/0022-0663.96.3.471

Swanson, 2001, Working memory, short-term memory, and speech rate as predictors of children’s reading performance at different ages, Journal of Educational Psychology, 93, 720, 10.1037/0022-0663.93.4.720

Thomas, 2006, Phonologische und zentral-exekutive Arbeitsgedächtnisprozesse bei der mentalen Addition und Multiplikation bei Grundschulkindern, Psychologie in Erziehung und Unterricht, 53, 275

von Aster, 2007, Rechenstörungen bei Kindern: Vorläufer, Prävalenz, und psychische Symptome, Zeitschrift für Entwicklungspsychologie und Pädagogische Psychologie, 39, 85, 10.1026/0049-8637.39.2.85

Wagner, 1987, The nature of phonological processing and its causal role in the acquisition of reading skills, Psychological Bulletin, 101, 192, 10.1037/0033-2909.101.2.192

Weißhaupt, 2006, Diagnose mathematischen Vorwissens im Vorschulalter und Vorhersage von Rechenleistungen und Rechenschwierigkeiten in der Grundschule, Psychologie in Erziehung und Unterricht, 53, 236

Wilson, 1987, Developmental differences in the span of visual memory for pattern, British Journal of Developmental Psychology, 5, 249, 10.1111/j.2044-835X.1987.tb01060.x

Wolf, 1984, Naming, reading, and the dyslexias: A longitudinal overview, Annals of Dyslexia, 34, 87, 10.1007/BF02663615

Wynn, 1992, Addition and subtraction by human infants, Nature, 358, 749, 10.1038/358749a0

Xu, 2005, Number sense in human infants, Developmental Science, 8, 88, 10.1111/j.1467-7687.2005.00395.x