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Helping Children with Mathematical Difficulties Level Up: Evaluating the Efficacy of a Novel Updating Training Programme

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Equity in Excellence

Part of the book series: Education Innovation Series ((EDIN))

Abstract

Singapore is one of the most affluent countries in the world and is ranked by international-benchmarking examinations such as Programme for International Student Assessment (PISA) and Trends in International Mathematics and Science Study (TIMSS) as one of the top-performing education systems in the world (Mourshed M, Chijioke C, Barber M. How the world’s most improved school systems keep getting better. McKinsey & Company, London, 2010). In its educational success, notwithstanding, there is concern of the inequality within the education system. One source of concern was raised in the Organisation for Economic Cooperation and Development (OECD) report where Singapore was found to have above-average income inequality. A strong (or positive) relationship also existed between academic performance and socio-economic status (OECD. PISA 2009 results: overcoming social background. OECD Publishing, Paris, 2010). Despite a very high participation rate in kindergarten, there is also suggestion that not every child enters primary education with the same level of academic skills. Learning Support for Mathematics programme has been established within all primary schools in Singapore so that children who are screened at Primary 1 without the adequate foundational skills in math would receive specialised support (Cheam F, Chua WLJ. Early intervention for pupils at-risk of mathematics difficulties. In: Wong KY, Lee PY, Kaur B, Foong PY, Ng SF (eds) Mathematics education: the Singapore journey. World Scientific, Singapore, pp 370–386, 2009). Kaur and Ghani’s (Low attainers in primary mathematics. World Scientific, Singapore, 2012) investigation of children with poor attainments in math reported that these students were not attentive in class and easily distracted. They did not give their best when doing work and often not able to complete their work on time in class. Perhaps related to these difficulties, these pupils also lacked home support with their work, with many coming from low-income families.

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References

  • Abikoff, H., & Gittelman, R. (1985). Hyperactive children treated with stimulants: Is cognitive training a useful adjunct? Archives of General Psychiatry, 42(10), 953–961.

    Article  Google Scholar 

  • Alloway, T. P., & Alloway, R. G. (2010). Investigating the predictive roles of working memory and IQ in academic attainment. Journal of Experimental Child Psychology, 106(1), 20–29.

    Article  Google Scholar 

  • Alloway, T. P., Gathercole, S. E., Kirkwood, H., & Elliott, J. (2009). The cognitive and behavioral characteristics of children with low working memory. Child Development, 80(2), 606–621.

    Article  Google Scholar 

  • Baddeley, A. (2000). The episodic buffer: A new component of working memory? Trends in Cognitive Sciences, 4(11), 417–423.

    Article  Google Scholar 

  • Baddeley, A., & Hitch, G. J. (1974). Working memory. In G. A. Bower (Ed.), Recent advances in learning and motivation (Vol. 8, pp. 47–90). New York: Academic.

    Google Scholar 

  • Bergman-Nutley, S., & Klingberg, T. (2014). Effect of working memory training on working memory, arithmetic and following instructions. Psychological Research, 78(6), 869–877.

    Article  Google Scholar 

  • Bradley, R. H., & Corwyn, R. F. (2002). Socioeconomic status and child development. Annual Review of Psychology, 53(1), 371–399.

    Article  Google Scholar 

  • Bull, R., & Scerif, G. (2001). Executive functioning as a predictor of children’s mathematics ability: Inhibition, switching, and working memory. Developmental Neuropsychology, 19(3), 273–293.

    Article  Google Scholar 

  • Buonomano, D. V., & Merzenich, M. M. (1998). Cortical plasticity: From synapses to maps. Annual Review of Neuroscience, 21(1), 149–186.

    Article  Google Scholar 

  • Buschkuehl, M., Jaeggi, S. M., Hutchison, S., Perrig-Chiello, P., Däpp, C., Müller, M., et al. (2008). Impact of working memory training on memory performance in old-old adults. Psychology and Aging, 23(4), 743–753.

    Article  Google Scholar 

  • Butterfield, E. C., Wambold, C., & Belmont, J. M. (1973). On the theory and practice of improving short-term memory. American Journal of Mental Deficiency, 77(5), 654–669.

    Google Scholar 

  • Cepeda, N. J., Pashler, H., Vul, E., Wixted, J. T., & Rohrer, D. (2006). Distributed practice in verbal recall tasks: A review and quantitative synthesis. Psychological Bulletin, 132(3), 354–380.

    Article  Google Scholar 

  • Cheam, F., & Chua, W. L. J. (2009). Early intervention for pupils at-risk of mathematics difficulties. In K. Y. Wong, P. Y. Lee, B. Kaur, P. Y. Foong, & S. F. Ng (Eds.), Mathematics education: The Singapore journey (pp. 370–386). Singapore, Singapore: World Scientific.

    Chapter  Google Scholar 

  • Chein, J. M., & Morrison, A. B. (2010). Expanding the mind’s workspace: Training and transfer effects with a complex working memory span task. Psychonomic Bulletin & Review, 17(2), 193–199.

    Article  Google Scholar 

  • Chooi, W.-T., & Thompson, L. A. (2012). Working memory training does not improve intelligence in healthy young adults. Intelligence, 40(6), 531–542. Retrieved from https://doi.org/10.1016/j.intell.2012.07.004.

    Article  Google Scholar 

  • Dempster, F. N. (1988). The spacing effect: A case study in the failure to apply the results of psychological research. American Psychologist, 43(8), 627.

    Article  Google Scholar 

  • Donovan, J. J., & Radosevich, D. J. (1999). A meta-analytic review of the distribution of practice effect: Now you see it, now you don’t. Journal of Applied Psychology, 84(5), 795–805.

    Article  Google Scholar 

  • Dunning, D. L., Holmes, J., & Gathercole, S. E. (2013). Does working memory training lead to generalized improvements in children with low working memory? A randomized controlled trial. Developmental Science, 16(6), 915–925.

    Article  Google Scholar 

  • Engle, R. W., Cantor, J., & Carullo, J. J. (1992). Individual differences in working memory and comprehension: A test of four hypotheses. Journal of Experimental Psychology: Learning, Memory and Cognition, 18(5), 972–992.

    Google Scholar 

  • Ericsson, K. A., Chase, W. G., & Faloon, S. (1980). Acquisition of a memory skill. Science, 208(4448), 1181–1182.

    Article  Google Scholar 

  • Evans, G. W., & Schamberg, M. A. (2009). Childhood poverty, chronic stress, and adult working memory. Proceedings of the National Academy of Sciences, 106(16), 6545–6549.

    Article  Google Scholar 

  • Farah, M.J., Shera, D.M., Savage, J.H., Betancourt, L., Giannetta, J.M., Brodsky, N.L., et al. (2006). Childhood poverty: Specific associations with neurocognitive development. Brain Research, 1110(1), 166–174. Retrieved from https://doi.org/10.1016/j.brainres.2006.06.072.

    Article  Google Scholar 

  • Gathercole, S. E., & Alloway, T. P. (2008). Working memory and classroom learning. In S. K. Thurman & C. A. Fiorello (Eds.), Applied cognitive research in K–3 classrooms (pp. 17–40). New York: Routledge/Taylor & Francis Group.

    Google Scholar 

  • Gathercole, S. E., Brown, L., & Pickering, S. J. (2003). Working memory assessments at school entry as longitudinal predictors of National Curriculum attainment levels. Educational and Child Psychology, 20(3), 109–122.

    Google Scholar 

  • Gathercole, S. E., Durling, E., Evans, M., Jeffcock, S., & Stone, S. (2008). Working memory abilities and children’s performance in laboratory analogues of classroom activities. Applied Cognitive Psychology, 22(8), 1019–1037.

    Article  Google Scholar 

  • Gathercole, S. E., & Pickering, S. J. (2000). Assessment of working memory in six- and seven-year-old children. Journal of Educational Psychology, 92(2), 377–390.

    Article  Google Scholar 

  • Gathercole, S. E., Pickering, S. J., Knight, C., & Stegmann, Z. (2004). Working memory skills and educational attainment: Evidence from national curriculum assessments at 7 and 14 years of age. Applied Cognitive Psychology, 18(1), 1–16.

    Article  Google Scholar 

  • Geary, D. C., Hoard, M. K., Bryd-Craven, K., & DeSoto, M. S. (2004). Strategy choices in simple and complex addition: Contribution of working memory and counting knowledge for children with mathematics disability. Journal of Experimental Child Psychology, 88(2), 121–151.

    Article  Google Scholar 

  • Gibson, B. S., Gondoli, D. M., Johnson, A. C., Steeger, C., & Morrissey, R. A. (2012). The future promise of Cogmed working memory training. Journal of Applied Research in Memory and Cognition, 1(3), 214–216.

    Article  Google Scholar 

  • Guralnick, M. J. (2001). A developmental systems model for early intervention. Infants & Young Children, 14(2), 1–18.

    Article  Google Scholar 

  • Holmes, J., Dunning, D. L., & Gathercole, S. E. (2011). Is working memory training beneficial for everyone? Paper presented at the 2011 Society for Research in Child Development Biennial Meeting, Montreal, Canada.

    Google Scholar 

  • Holmes, J., & Gathercole, S. E. (2014). Taking working memory training from the laboratory into schools. Educational Psychology, 34(4), 440–450.

    Article  Google Scholar 

  • Holmes, J., Gathercole, S. E., & Dunning, D. L. (2009). Adaptive training leads to sustained enhancement of poor working memory in children. Developmental Science, 12(4), F9–F15.

    Article  Google Scholar 

  • Holmes, J., Gathercole, S. E., Place, M., Dunning, D. L., Hilton, K. A., & Elliott, J. G. (2010). Working memory deficits can be overcome: Impacts of training and medication on working memory in children with ADHD. Applied Cognitive Psychology, 24(6), 827–836.

    Article  Google Scholar 

  • Hosseini, S. H., Asgari, F., Rostamkhani, H., & Asghari, A. (2011). A comparison of the effects of two practice session distribution types on acquisition and retention of discrete and continuous skills. Middle-East Journal of Scientific Research, 8(1), 222–227.

    Google Scholar 

  • Jaeggi, S. M., Buschkuehl, M., Jonides, J., & Perrig, W. J. (2008). Improving fluid intelligence with training on working memory. Proceedings of the National Academy of Sciences, 105(19), 6829–6833.

    Article  Google Scholar 

  • Jaeggi, S. M., Buschkuehl, M., Jonides, J., & Shah, P. (2011). Short- and long-term benefits of cognitive training. Proceedings of the National Academy of Sciences, 108(25), 10081–10086.

    Article  Google Scholar 

  • Janiszewski, C., Noel, H., & Sawyer, A. G. (2003). A meta-analysis of the spacing effect in verbal learning: Implications for research on advertising repetition and consumer memory. Journal of Consumer Research, 30(1), 138–149.

    Article  Google Scholar 

  • Kaur, B., & Ghani, M. (2012). Low attainers in primary mathematics. Singapore, Singapore: World Scientific.

    Google Scholar 

  • Klingberg, T. (2010). Training and plasticity of working memory. Trends in Cognitive Sciences, 14(7), 317–324.

    Article  Google Scholar 

  • Klingberg, T. (2012). Is working memory capacity fixed? Journal of Applied Research in Memory and Cognition, 1(3), 194–196.

    Article  Google Scholar 

  • Klingberg, T., Fernell, E., Olesen, P. J., Johnson, M., Gustafsson, P., Dahlstrom, K., et al. (2005). Computerized training of working memory in children with ADHD-A randomized, controlled trial. Journal of the American Academy of Child and Adolescent Psychiatry, 44(2), 177–186.

    Article  Google Scholar 

  • Klingberg, T., Forssberg, H., & Westerberg, H. (2002). Training of working memory in children with ADHD. Journal of Clinical and Experimental Neuropsychology, 24(6), 781–791.

    Article  Google Scholar 

  • Kristofferson, M. W. (1972). Effects of practice on character-classification performance. Canadian Journal of Psychology/Revue canadienne de psychologie, 26(1), 54–60.

    Article  Google Scholar 

  • Lee, K., Ng, E., & Ng, S. F. (2009). The contributions of working memory and executive functioning to problem representation and solution generation in algebraic word problems. Journal of Educational Psychology, 101(2), 373–387.

    Article  Google Scholar 

  • Lee, K., Ng, S. F., Ng, E. L., & Lim, Z. Y. (2004). Working memory and literacy as predictors of performance on algebraic word problems. Journal of Experimental Child Psychology, 89(2), 140–158.

    Article  Google Scholar 

  • Lee, K., Ng, S. F., Pe, M. L., Ang, S. Y., Hasshim, M. N. A. M., & Bull, R. (2012). The cognitive underpinnings of emerging mathematical skills: Executive functioning, patterns, numeracy, and arithmetic. British Journal of Educational Psychology, 82(1), 82–99.

    Article  Google Scholar 

  • Lee, K., & Peh, Y. X. (2008). Differences in working memory profiles amongst children with low versus average academic performances. Korean Journal of Thinking & Problem Solving, 18(1), 21–33.

    Google Scholar 

  • Melby-Lervåg, M., & Hulme, C. (2013). Is working memory training effective? A meta-analytic review. Developmental Psychology, 49(2), 270–291.

    Article  Google Scholar 

  • Miller, G. A. (1956). The magical number seven, plus or minus two: Some limits on our capacity for processing information. Psychological Review, 63(2), 81–97.

    Article  Google Scholar 

  • Miyake, A., Friedman, N. P., Emerson, M. J., Witzki, A. H., Howerter, A., & Wager, T. D. (2000). The unity and diversity of executive functions and their contributions to complex “frontal lobe” tasks: A latent variable analysis. Cognitive Psychology, 41(1), 49–100.

    Article  Google Scholar 

  • Miyake, A., & Shah, P. (1999). Models of working memory: Mechanisms of active maintenance and executive control. Cambridge, UK: Cambridge University Press.

    Book  Google Scholar 

  • Morris, N., & Jones, D. M. (1990). Memory updating in working memory: The role of the central executive. British Journal of Psychology, 81(2), 111–121.

    Article  Google Scholar 

  • Mourshed, M., Chijioke, C., & Barber, M. (2010). How the world’s most improved school systems keep getting better. London: McKinsey & Company.

    Google Scholar 

  • Noble, K. G., Norman, M. F., & Farah, M. J. (2005). Neurocognitive correlates of socioeconomic status in kindergarten children. Developmental Science, 8(1), 74–87.

    Article  Google Scholar 

  • OECD. (2010). PISA 2009 results: Overcoming social background. Paris: OECD Publishing.

    Book  Google Scholar 

  • Olesen, P. J., Westerberg, H., & Klingberg, T. (2004). Increased prefrontal and parietal activity after training of working memory. Nature Neuroscience, 7(1), 75–79.

    Article  Google Scholar 

  • Passolunghi, M. C., & Siegel, L. S. (2001). Short-term memory, working memory, and inhibitory control in children with difficulties in arithmetic problem solving. Journal of Experimental Child Psychology, 80(1), 44–57.

    Article  Google Scholar 

  • Phillips, C. J., & Nettelbeck, T. (1984). Effects of practice on recognition memory of mildly mentally retarded adults. American Journal of Mental Deficiency, 88(6), 678–687.

    Google Scholar 

  • Pickering, S., & Gathercole, S. E. (2001). Working memory test battery for children (WMTB-C). London: Psychological Corporation.

    Google Scholar 

  • Pungello, E. P., Kupersmidt, J. B., Burchinal, M. R., & Patterson, C. J. (1996). Environmental risk factors and children’s achievement from middle childhood to early adolescence. Developmental Psychology, 32(4), 755–767.

    Article  Google Scholar 

  • Redick, T. S., Shipstead, Z., Harrison, T. L., Hicks, K. L., Fried, D. E., Hambrick, D. Z., et al. (2013). No evidence of intelligence improvement after working memory training: A randomized, placebo-controlled study. Journal of Experimental Psychology: General, 142(2), 359–379.

    Article  Google Scholar 

  • Rickard Liow, S. J., & Sze, W. P. (2008). Bilingual language assessment battery (Version 1). Unpublished manuscript. National University of Singapore, Singapore.

    Google Scholar 

  • Schonell, F. (1942). Backwardness in the basic subjects. London: Oliver & Boyd.

    Google Scholar 

  • Shah, P., & Miyake, A. (1996). The separability of working memory resources for spatial thinking and language processing: An individual differences. Journal of Experimental Psychology: General, 125(1), 4–27.

    Article  Google Scholar 

  • Shipstead, Z., Hicks, K. L., & Engle, R. W. (2012a). WM training remains a work in progress. Journal of Applied Research in Memory and Cognition, 1(3), 217–219.

    Article  Google Scholar 

  • Shipstead, Z., Redick, T. S., & Engle, R. W. (2012b). Is working memory training effective? Psychological Bulletin, 138(4), 628–654.

    Article  Google Scholar 

  • St Clair-Thompson, H. L., & Gathercole, S. E. (2006). Executive functions and achievements in school: Shifting, updating, inhibition, and working memory. Quarterly Journal of Experimental Psychology, 59(4), 745–759.

    Article  Google Scholar 

  • Thompson, T. W., Waskom, M. L., Garel, K.-L. A., Cardenas-Iniguez, C., Reynolds, G. O., Winter, R., et al. (2013). Failure of working memory training to enhance cognition or intelligence. PLoS One, 8(5), e63614.

    Article  Google Scholar 

  • Thorell, L. B., Lindqvist, S., Bergman Nutley, S., Bohlin, G., & Klingberg, T. (2009). Training and transfer effects of executive functions in preschool children. Developmental Science, 12(1), 106–113.

    Article  Google Scholar 

  • Van der Molen, M. J., Van Luit, J. E. H., Van der Molen, M. W., Klugkist, I., & Jongmans, M. J. (2010). Effectiveness of a computerised working memory training in adolescents with mild to borderline intellectual disabilities. Journal of Intellectual Disability Research, 54(5), 433–447.

    Article  Google Scholar 

  • Wechsler, D. (1991). Wechsler intelligence scale for children -third edition. San Antonio, TX: Psychological Corporation.

    Google Scholar 

  • Wechsler, D. (2009). Wechsler individual achievement test (3rd ed.). San Antonio, TX: Psychological Corporation.

    Google Scholar 

  • Westerberg, H., & Klingberg, T. (2007). Changes in cortical activity after training of working memory – a single-subject analysis. Physiology & Behavior, 92(1–2), 186–192.

    Article  Google Scholar 

  • Yntema, D. B. (1963). Keeping track of several things at once. Human Factors, 5(1), 7–17.

    Article  Google Scholar 

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Ang, S.Y., Lee, K., Poon, K.K., Suryadarma, I. (2019). Helping Children with Mathematical Difficulties Level Up: Evaluating the Efficacy of a Novel Updating Training Programme. In: Teng, S.S., Manzon, M., Poon, K.K. (eds) Equity in Excellence. Education Innovation Series. Springer, Singapore. https://doi.org/10.1007/978-981-13-2975-3_11

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