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Enhancing Mathematical Skills Through Interventions with Virtual Manipulatives

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International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives

Part of the book series: Mathematics Education in the Digital Era ((MEDE,volume 7))

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Abstract

In this chapter, we report the findings from a randomized controlled trial investigating the effect of using virtual manipulatives to improve preschool students’ early mathematics skills. One hundred thirty-two preschool children were randomly assigned to nine sessions of adaptive computerized counting or comparison with virtual manipulatives, or to a typical instruction control group. Children in both experimental intervention groups, including children with poor calculation skills at the start of the intervention, performed better than controls not using virtual manipulatives on early mathematics tasks at the posttest. In addition, the effects of the training held six months later with the counting intervention improving number knowledge and mental arithmetic performance, and the comparison intervention only enhancing the number knowledge proficiency in Grade 1. The effect of virtual manipulatives was present in empathic children, thinkers, persisters, dreamers, rebels and promoters according to the Kahler Process Communication Model. In addition children in both experimental groups became more adventurous after the training. We discuss the value of these short interventions with virtual manipulatives in preschool as a forward-looking approach to enhance arithmetic proficiency.

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References

  • Ampaw, F. D., Gilbert, M. B., & Donlan, R. A. (2013). Verifying the validity and reliability of the personality pattern inventory: Preliminary Results. Expanded paper (originally presented at the 4th international congress on process communication Vienna, Austria August 30, 2012). The Journal of Process Communication, 1(1).

    Google Scholar 

  • Aunio, P., Hautamäki, J., Sajaniemi, N., & Van Luit, J. E. H. (2009). Early numeracy in low-performing young children. British Educational Research Journal, 35, 25–46. doi:10.1080/01411920802041822

    Article  Google Scholar 

  • Aunio, P., Hautamäki, J., & Van Luit, J. E. H. (2005). Mathematical thinking intervention programsfor preschool children with normal and low number sense. European Journal of Special needs Education, 20, 131–146. doi:10.1080/08856250500055578

    Article  Google Scholar 

  • Baker, S., Gersten, R., & Lee, D. (2002). A synthesis of empirical research on teaching mathematics to low-achieving students. The Elementary School Journal, 103, 51–73. doi:10.1086/499715

    Article  Google Scholar 

  • Baudonck, M., Debusschere, A., Dewulf, B., Samyn, F., Vercaemst, V., & Desoete, A. (2006). Kortrijke Rekentest Revisie (KRT-R) (Kortrijk arithmetic test revision). Kortrijk: Revalidatiecentrum Overleie.

    Google Scholar 

  • Bloete, A. W., Lieffering, L. M., & Ouwehand, K. (2006). The development of many-to-one counting in 4-year-old children. Cognitive Development, 21, 332–348.

    Article  Google Scholar 

  • Bradley, D. F., & Pauley, J. F. (2001). Here’s how to reach me: Matching instruction to personalty types in your classroom. Process Communication Nederland Rijnsaterwoude.

    Google Scholar 

  • Butterworth, B., & Laurillard, D. (2010). Low numeracy and dyscalculia: identification and intervention. ZDM, 42, 527–539.

    Article  Google Scholar 

  • Codding, R. S., Hilt-Panahon, A., Panahon, C. J., & Benson, J. L. (2009). Addressing mathematics computation problems: A review of simple and moderate intensity interventions. Education and Treatment of Children, 32, 279–312. doi:10.1353/etc.0.0053

    Article  Google Scholar 

  • Desoete, A. (2014). Cognitive predictors of mathematical abilities and disabilities. In R. C. Kadosh & A. Dowker (Eds.), The Oxford Handbook of Mathematical Cognition, (pp.899–914). Oxford: Medicine UK.

    Google Scholar 

  • Desoete, A. (2015). Predictive indicators for mathematical learning disabilities/dyscalculia in preschool children. In S. Chinn (Ed.), The international handbook for mathematical difficulties and dyscalculia (pp. 90–100). London, New York: Routledge.

    Google Scholar 

  • Desoete, A., & GrĂ©goire, J. (2007). Numerical competence in young children with mathematical learning disabilities. Learning and Individual Differences, 16, 351–367. doi:http://dx.doi.org/10.1016.J.lindif.2006.12.006

  • Desoete, A., Praet, M., Titeca, D., & Ceulemans, A. (2013). Cognitive phenotype of mathematical learning disabilities: what can we learn from siblings? Research in Developmental Disabilities, 34, 404–412. doi:10.1016/j.ridd.2012.08.022

    Article  Google Scholar 

  • Desoete, A., Roeyers, H., & De Clercq, A. (2004). Children with mathematics learning disabilities in Belgium. Journal of Learning Disabilities, 37, 50–61. doi:10.1177/00222194040370010601

    Article  Google Scholar 

  • Dowker, A. (2005). Early identification and intervention for students with mathematical difficulties. Journal of Learning Disabilities, 38, 324–332. doi:10.1177/00222194050380040801

    Article  Google Scholar 

  • Dowker, A. (2015). Individual differences in arithmetical abilities. The componential nature of arithmetic. In R. C. Kadosh & A. Dowker (Eds.), The Oxford handbook of mathematical cognition (pp. 862–878). Oxford: Medicine UK.

    Google Scholar 

  • Dyson, N. I., Jordan, N. C., & Glutting, J. (2011). A number sense intervention for low-income kindergartners at risk for math difficulties. Journal of Learning Disabilities. Advance online publication. doi:10.1177/0022219411410233

    Google Scholar 

  • Gallistel, C. R., & Gellman, R. (1992). Preverbal and verbal counting and computation. Cognition, 44, 43–74. doi:10.1016/0010-0277(92)90050-R

    Article  Google Scholar 

  • Geary, D. C. (2011a). Cognitive predictors of achievement growth in mathematics: A 5-year longitudinal study. Developmental Psychology, 47, 1539–1552.

    Article  Google Scholar 

  • Geary, D. C. (2011b). Consequences, characteristics, and causes of mathematical learning disabilities and persistent low achievement in mathematics. Journal of Developmental and Behavioral Pediatrics, 32, 250–263.

    Article  Google Scholar 

  • Gilbert, M. B. (1999). Why educators have problems with some students: Understanding frames of preference. Journal of Educational Administration, 37, 243–256. doi:10.1108/09578239910275481

    Article  Google Scholar 

  • Gilbert, M. (1996). The process communication model: Understanding ourselves and others. National Association of Secondary School Principals. NASSP Bulletin, 40 (578). doi: 10.1108/17506200710779521

    Google Scholar 

  • GrĂ©goire, J., NoĂ«l, M., & Nieuwenhoven, Van. (2004). TEDI-MATH. Antwerpen: Harcourt.

    Google Scholar 

  • Hantson, E., Van de Velde, M. C., & Desoete, A. (2015). Persoonlijkheid en (de)motivatie van kinderen en jongeren. Theorie, praktijk en onderzoek van process communication model (Personality and (de)motivation of children and youth. Theory, practice and research on process communication model). Gent: Academia Press.

    Google Scholar 

  • Haseler, M. (2008). Making intervention in numeracy more effective in schools. In A. Dowker (Ed.), Mathematical difficulties: Psychology and education (pp. 225–241). London, UK: Elsevier.

    Chapter  Google Scholar 

  • Heasman, B. (2000). Winning ways with working styles. http://www.dtaweb.co.uk/winning%20ways.pdf

  • Hendriksen, J., & Hurks, P. (2009) WPPSI-III-NL.| Wechsler Preschool and Primary Scale of Intelligence. Amsterdam: Pearson.

    Google Scholar 

  • Jordan, N. C., Glutting, J., Dyson, N., Hassinger-Das, B., & Irwin, C. (2012). Building Kindergartner’s number sense: A randomized controlled study. Journal of Educational Psychology, 104, 647–660. doi:10.1037/a002901810.1016/j.jecp.2009.03.009

    Article  Google Scholar 

  • Jordan, N. C., Kaplan, D., Ramineni, C., & Locuniak, M. N. (2009). Early matters: Preschool number competence and later mathematics outcomes. Developmental, 45, 850–867. doi:10.1037/a0014939

    Google Scholar 

  • Pauley, J.F. (2013). Journal of Process Communication, 1(1). Retrieved July 2013 http://www.kahlercom.com/wpcontent/uploads/2013/09/PCM-journal-July-issue-2.pdf

  • Kahler, T. (2004). The process therapy model. Little Rock, AR: Taibi Kahler Associates

    Google Scholar 

  • Kahler, T. (2008). The process therapy model: The six personality types with adaptations. Little Rock: Taibi Kahler Associates Inc.

    Google Scholar 

  • Kreyenberg, J. (2003). Analyse of working style and communication by drivers. Zeitung for Transactionsanalyse, Psychology, 1.

    Google Scholar 

  • Kroesbergen, E. J., & Van Luit, J. E. H. (2003). Mathematics interventions for children with special educational needs. A meta- analysis. Remedial and Special Education, 24, 97–114. doi:10.1177/074193250030240020501

    Article  Google Scholar 

  • LeFevre, J.-A., Smith-Chant, B. L., Fast, L., Skwarchuk, S.-L., Sargala, E., Arnup, J. S., & Kamawar, D. (2006). What counts as knowing? The development of conceptual and procedural knowledge of counting from preschool through Grade 2. Journal of Experimental Child Psychology, 93, 285–303. doi:10.1016/j.jecp.2005.11.002

    Article  Google Scholar 

  • McGuire, T., Khaler, T., & Stansbury, P. (1990). Myers briggs/personality pattern inventory. Research January 3, 1990.

    Google Scholar 

  • Moore, A. M., Rudy, N. O., & Schcrat, M. H. (2015). Affect, motivation, working memory, and mathematics (pp. 918–936). In R. C. Kadosh & A. Dowker (Eds.), The Oxford handbook of mathematical cognition (pp. 917–936). Oxford: Medicine UK.

    Google Scholar 

  • Ramani, G. B., & Siegler, R. S. (2008). Promoting broad and stable improvements in low-income children’s numerical knowledge through playing number board games. Child Development, 79, 375–394. doi:10.1111/j.1467-8624.2007.01131.x

    Article  Google Scholar 

  • Ramani, G. B., & Siegler, R. S. (2011). Reducing the gap in numerical knowledge between low- and middle-income preschoolers. Journal of Applied Developmental Psychology, 32, 146–159. doi:10.1016/j.appdev.2011.02.005

    Article  Google Scholar 

  • Räsänen, P., Salminen, J., Wilson, A. J., Aunio, P., & Dehaene, S. (2009). Computer-assisted intervention for children with low numeracy skills. Cognitive Development, 24, 450–472. doi:10.1016/j.cogdev.2009.09.003

    Article  Google Scholar 

  • Shalev, R. S., Manor, O., Kerem, B., Ayali, N., Frielander, Y., & Gross-Tsur, V. (2001). Developmental dyscalculia is a familial learning disability. Journal of Learning Disabilities, 34, 59–65.

    Article  Google Scholar 

  • Slavin, R. E., Lake, C., & Groff, C. (2009). Effective programs in middle and high school mathematics: A best-evidence synthesis. Review of Educational Research, 79, 839–911. doi:10.3102/0034654308330968

    Article  Google Scholar 

  • Stock, P., Desoete, A., & Roeyers, H. (2010). Detecting children with arithmetic Disabilities from preschool: Evidence from a 3-year longitudinal study on the role of preparatory arithmetic abilities. Journal of learning Disabilities, 43, 250–268. doi:10.1177/0022219409345011

    Article  Google Scholar 

  • Templeton, T. N., Neel, R. S., & Blood, E. (2008). Meta-analysis of math interventions for students with emotional and behavioral disorders. Journal of Emotional and Behavioral Disorders, 16, 226–239. doi:10.1177/1063426608321691

    Article  Google Scholar 

  • Van Luit, J. E. H., & Schopman, A. M. (2000). Improving early numeracy of young children with special educational needs. Remedial and Special Education, 21, 27–40. doi:10.1177/074193250002100105

    Article  Google Scholar 

  • Wechsler, D., Kort, W., Schittekatte, M., Bosmans, M., Compaan, E. L., Dekker, P. H., & Verhaeghe, P. (2002). Wechsler intelligence scale for children-III-Nl. Amsterdam, The Netherlands: Harcourt.

    Google Scholar 

  • Wilson, A. J., & Räsänen, P. (2008). Effective interventions for numeracy difficulties/disorders. Encyclopedia of language and literacy development (pp. 1–11). London, ON: Canadian Language and Literacy research Network. Retrieved from http://www.literacyencyclopedia.ca/pdfs/topic.php?topId=259

  • Wilson, A. J., Revkin, S. K., Cohen, D., Cohen, L., & Dehaene, S. (2006). An open trial assessment of “The Number Race”, an adaptive computer game for remediation of dyscalculia. Behavioral and Brain Functions, 2, 20. doi:10.1186/1744-9081-2-20

    Article  Google Scholar 

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Correspondence to Annemie Desoete .

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Desoete, A., Praet, M., Van de Velde, C., De Craene, B., Hantson, E. (2016). Enhancing Mathematical Skills Through Interventions with Virtual Manipulatives. In: Moyer-Packenham, P. (eds) International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives. Mathematics Education in the Digital Era, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-319-32718-1_8

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  • DOI: https://doi.org/10.1007/978-3-319-32718-1_8

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