The importance of numerical symbols for the development of mathematical skills
Abstract
How do young children develop numerical and mathematical skills? In this paper, I review what we have learnt over the past few decades about the foundational skills that underpin children’s numerical and mathematical development. I discuss the importance of learning the meaning of numerical symbols and review studies that show that early number symbol knowledge predicts later math skills and that training numerical symbol knowledge can enhance children’s early math skills. I close by discussing future directions.
References
1. Duncan GJ, Dowsett CJ, Claessens A, Magnuson K, Huston AC, Klebanov P, et al. School readiness and later achievement. Dev Psychol [Internet]. 2007;43(6):1428-1446. doi: https://doi.org/10.1037/0012-1649.43.6.1428
2. Bradley L, Bryant PE. Difficulties in auditory organisation as a possible cause of reading backwardness. Nature [Internet]. 1978;271(5647):746-7. doi: https://doi.org/10.1038/271746a0
3. Hulme, C, Snowling, MJ. Learning to read: What we know and what we need to understand better. Child Dev Perspect [Internet]. 2012;7(1):1–5. doi: https://doi.org/10.1111/cdep.12005
4. Chu FW, vanMarle K, Geary DC. Early numerical foundations of young children’s mathematical development. J Exp Child Psychol [Internet]. 2015;132:205-12. doi: https://doi.org/10.1016/j.jecp.2015.01.006
5. Merkley R, Ansari D. Why numerical symbols count in the development of mathematical skills: Evidence from brain and behavior. Curr Res Behav Sci [Internet]. 2016;10:14–20. http://doi.org/10.1016/j.cobeha.2016.04.006
6. Purpura DJ, Baroody AJ, Lonigan CJ. The transition from informal to formal mathematical knowledge: Mediation by numeral knowledge. Journal of Educational Psychology [Internet]. 2013;105(2):453–464. http://doi.org/10.1037/a0031753
7. Wynn K. Children’s understanding of counting. Cognition [Internet]. 1990;36(2):155-93. doi: https://doi.org/10.1016/0010-0277(90)90003-3
8. Mazzocco MM, Feigenson L, Halberda J. Preschoolers’ precision of the approximate number system predicts later school mathematics performance. PLoS One [Internet]. 2011;6(9):e23749. doi: https://doi.org/10.1371/journal.pone.0023749
9. Holloway ID, Ansari D. Mapping numerical magnitudes onto symbols: the numerical distance effect and individual differences in children’s mathematics achievement. J Exp Child Psychol [Internet]. 2009;103(1):17–29. doi: http://doi.org/10.1016/j.jecp.2008.04.001
10. Vanbinst K, Ghesquière P, De-Smedt B. Does numerical processing uniquely predict first graders’ future development of single-digit arithmetic? Learning and Individual Differences [Internet]. 2015;37:153-160. doi: http://doi.org/10.1016/j.lindif.2014.12.004
11. Lyons IM, Price GR, Vaessen A, Blomert L, Ansari D. Numerical predictors of arithmetic success in grades 1-6. Dev Sci [Internet]. 2014;17(5):714-26. doi: http://doi.org/10.1111/desc.12152
12. Vanbinst K, Ansari D, Ghesquière P, De Smedt B. Symbolic Numerical Magnitude Processing Is as Important to Arithmetic as Phonological Awareness Is to Reading. PLoS One [Internet]. 2016;11(3):e0151045. doi: http://doi.org/10.1371/journal.pone.0151045
13. Nosworthy N, Bugden S, Archibald L, Evans B, Ansari D. A two-minute paper-and-pencil test of symbolic and nonsymbolic numerical magnitude processing explains variability in primary school children’s arithmetic competence. PLoS One [Internet]. 2013;8(7):e67918. doi: http://doi.org/10.1371/journal.pone.0067918
14. Jordan NC, Glutting J, Ramineni C, Watkins MW. Validating a number sense screening tool for use in kindergarten and first grade: Prediction of mathematics proficiency in third grade. School Psychology Review [Internet]. 2010;39(2):181–195. doi: https://doi.org/10.1080/02796015.2010.12087772
15. Butterworth, B. (2008). Developmental dyscalculia. In J. Reed & J. W. Rogers (Eds). Child neuropsychology: Concepts, theory, and practice (pp. 357-374). Oxford: Blackwell
16. De Smedt B, Gilmore CK. Defective number module or impaired access? Numerical magnitude processing in first graders with mathematical difficulties. J Exp Child Psychol [Internet]. 2011;108(2):278-92. doi: http://doi.org/10.1016/j.jecp.2010.09.003
17. Rousselle L, Noël MP. Basic numerical skills in children with mathematics learning disabilities: a comparison of symbolic vs non-symbolic number magnitude processing. Cognition [Internet]. 2007;102(3):361-95. doi: http://doi.org/10.1016/j.cognition.2006.01.005
18. Landerl K, Bevan A, Butterworth B. Developmental dyscalculia and basic numerical capacities: a study of 8-9-year-old students. Cognition [Internet]. 2004;93(2):99-125. doi: https://doi.org/10.1016/j.cognition.2003.11.004
19. Mussolin C, Mejias S, Noël MP. Symbolic and nonsymbolic number comparison in children with and without dyscalculia. Cognition [Internet]. 2010;115(1):10-25. doi: https://doi.org/10.1016/j.cognition.2009.10.006
20. Bugden S, Ansari D. Individual differences in children’s mathematical competence are related to the intentional but not automatic processing of Arabic numerals. Cognition [Internet]. 2011;118(1):32-44. doi: http://doi.org/10.1016/j.cognition.2010.09.005
21. Lyons IM, Ansari D. Numerical order processing in children: From reversing the distance-effect to predicting arithmetic. Mind, Brain, and Education [Internet]. 2015;9:207-221. doi: https://doi.org/10.1111/mbe.12094
22. Sella F, Tressoldi P, Lucangeli, D, Zorzi M. Training numerical skills with the adaptive videogame “The Number Race”: A randomized controlled trial on preschoolers. Trends in Neuroscience and Education [Internet]. 2016;5(1):20–29. doi: http://doi.org/10.1016/j.tine.2016.02.002
23. Skwarchuk SL, Sowinski C, LeFevre JA. Formal and informal home learning activities in relation to children’s early numeracy and literacy skills: the development of a home numeracy model. J Exp Child Psychol [Internet]. 2014;121:63-84. doi: https://doi.org/10.1016/j.jecp.2013.11.006
24. LeFevre JA, Fast L, Skwarchuk SL, Smith-Chant BL, Bisanz J, Kamawar D, Penner-Wilger M. Pathways to mathematics: longitudinal predictors of performance. Child Dev [Internet]. 2010;81(6):1753-67. doi: https://doi.org/10.1111/j.1467-8624.2010.01508.x
25. Cragg L, Gilmore C. Skills underlying mathematics: The role of executive function in the development of mathematics proficiency. Trends in Neuroscience and Education [Internet]. 2014;3(2):63-68. doi: https://doi.org/10.1016/j.tine.2013.12.001
26. De Smedt B, Boets B. Phonological processing and arithmetic fact retrieval: evidence from developmental dyslexia. Neuropsychologia [Internet]. 2010;48(14):3973-81. doi: http://doi.org/10.1016/j.neuropsychologia.2010.10.018
27. Landerl K, Göbel SM, Moll K. Core deficit and individual manifestations of developmental dyscalculia
(DD): The role of comorbidity. Trends in Neuroscience and Education [Internet]. 2013;2(2):38–42. doi: https://doi.org/10.1016/j.tine.2013.06.002
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