The Profiles and Patterns of Progress in Numerical Skills of Elementary School Students with Mild and Moderate Intellectual Disability

References

• Abdelhameed, H. (2009). Use of the behavioural approach in teaching counting for children with Down syndrome. International Journal of Special Education, 24(2), 82–90.
   Google Scholar
• American Psychiatric Association. (2013). Diagnostic and statistical manual of mental disorders (DSM–5). Washington: Author.
   Google Scholar
• Aunola, K., Leskinen, E., Lerkkanen, M.-K., & Nurmi, J.-E. (2004). Developmental dynamics of mathematical performance from preschool to Grade 2. Journal of Educational Psychology, 96(4), 699–713.
   Web of Science ®Google Scholar
• Baroody, A. J. (1999). The development of basic counting, number and arithmetic knowledge among children classified as mentally handicapped. International Review of Research in Mental Retardation, 22, 51–103.
   Google Scholar
• Baroody, A. J., Bajwa, N. P., & Eiland, M. (2009). Why can‘t Johnny remember the basic facts? Developmental Disabilities Research Reviews, 15(1), 69–79.
   PubMedGoogle Scholar
• Bashash, L., Outhred, L., & Bochner, S. (2003). Counting skills and number concepts of students with moderate intellectual disabilities. International Journal of Disability, Development and Education, 50(3), 325–345.
   Google Scholar
• Brankaer, C., Ghesquière, P., & De Smedt, B. (2011). Numerical magnitude processing in children with mild intellectual disabilities. Research in Developmental Disabilities, 32(6), 2853–2859.
   PubMed Web of Science ®Google Scholar
• Brigstocke, S., Hulme, C., & Nye, J. (2008). Number and arithmetic skills in children with Down syndrome. Down Syndrome Research and Practice, 74–78. doi:10.3104/reviews.2070
   Google Scholar
• Browder, D. M., Jimenez, B. A., Spooner, F., Saunders, A., Hudson, M., & Bethune, K. S. (2012). Early numeracy instruction for students with moderate and severe developmental disabilities. Research and Practice for Persons with Severe Disabilities, 37(4), 308–320.
   Web of Science ®Google Scholar
• Browder, D. M., Spooner, F., Ahlgrim-Delzell, L., Harris, A. A., & Wakeman, S. Y. (2008). A comprehensive review of research on teaching math to students with significant cognitive disabilities. Exceptional Children, 74(4), 407–432.
   Web of Science ®Google Scholar
• Cheong, J. M. Y., Walker, Z. M., & Rosenblatt, K. (2017). Numeracy abilities of children in grades 4 to 6 with mild intellectual disability in Singapore. International Journal of Disability, Development and Education, 64(2), 150–168.
   Web of Science ®Google Scholar
• Clarke, B., & Faragher, R. (2014). Developing early number concepts for children with Down syndrome. In R. Faragher & B. Clarke (Eds.), Educating learners with down syndrome. Research, theory and practice with children and adolescents (pp. 146–162). London: Routledge.
   Google Scholar
• de Smedt, B., Swillen, A., Verschaffel, L., & Ghesquière, P. (2009). Mathematical learning disabilities in children with 22q11.2 deletion syndrome: A review. Developmental Disabilities Research Reviews, 15(1), 4–10.
   PubMedGoogle Scholar
• de Vries, C. (2014) Teaching mathematics to children with intellectual disability: foundations and exercices for a thorough understanding of mathematics. [Mathematik im Förderschwerpunkt Geistige Entwicklung: Grundlagen und Übungsvorschläge für Diagnostik und Förderung im Rahmen eines erweiterten Mathematikverständnisses] (3rd ed). Dortmund: Modernes Lernen.
   Google Scholar
• Dehaene, S. (2001). Précis of the number sense. Mind & Language, 16(1), 16–36.
   Web of Science ®Google Scholar
• Desoete, A., Ceulemans, A., De Weerdt, F., & Pieters, S. (2012). Can we predict mathematical learning disabilities from symbolic and non-symbolic comparison tasks in kindergarten? Findings from a longitudinal study. British Journal of Educational Psychology, 82, 64–81.
   PubMed Web of Science ®Google Scholar
• Faragher, R., & Brown, R. I. (2005). Numeracy for adults with Down syndrome: It‘s a matter of quality of life. Journal of Intellectual Disability Research, 49(10), 761–765.
   PubMedGoogle Scholar
• Fuson, K. C. (1988). Children‘s counting and concepts of number. New York, NY: Springer.
   Google Scholar
• Garrote, A., Moser Opitz, E., & Ratz, C. (2015). Mathematische Kompetenzen von Schülerinnen und Schülern mit dem Förderschwerpunkt geistige Entwicklung. Eine Querschnittstudie [The mathematical competences of students with mild to moderate intellectual disability. A cross-sectional study]. Empirische Sonderpädagogik, 7(1), 24–40.
   Google Scholar
• Gelman, G., & Gallistel, C. R. (1978). The child’s understanding of number. Cambridge, MA: Harvard University Press.
   Google Scholar
• Gersten, R., Jordan, N. C., & Flojo, J. R. (2005). Early identification and interventions for students with mathematics difficulties. Journal of Learning Disabilities, 38(4), 293–304.
   PubMed Web of Science ®Google Scholar
• Henry, L., & Winfield, J. (2010). Working memory and educational achievement in children with intellectual disabilities. Journal of Intellectual Disability Research, 54(4), 354–365.
   PubMedGoogle Scholar
• Henry, L. A., & MacLean, M. (2003). Relationships between working memory, expressive vocabulary and arithmetical reasoning in children with and without intellectual disabilities. Educational and Child Psychology, 20(3), 51–64.
   Google Scholar
• Hord, C., & Bouck, E. C. (2012). Review of academic mathematics instruction for students with mild intellectual disability. Education and Training in Autism and Developmental Disabilities, 47(3), 389–400.
   Web of Science ®Google Scholar
• Jimenez, B., & Kemmery, M. (2013). Building the early numeracy skills of students with moderate intellectual disability. Education and Training in Autism and Developmental Disabilities, 48(4), 479–490.
   Web of Science ®Google Scholar
• Jordan, N. C., Glutting, J., & Ramineni, C. (2010). The importance of number sense to mathematics achievement in first and third grades. Learning and Individual Differences, 20(2), 82–88.
   PubMed Web of Science ®Google Scholar
• Jordan, N. C., Kaplan, D., Locuniak, M. N., & Ramineni, C. (2007). Predicting first-grade math achievement from developmental number sense trajectories. Learning Disabilities Research and Practice, 22(1), 36–46.
   Google Scholar
• Jordan, N. C., Kaplan, D., Ramineni, C., & Locuniak, M. N. (2008). Development of number combination skill in the early school years: When do fingers help? Developmental Science, 11(5), 662–668.
   PubMed Web of Science ®Google Scholar
• Jordan, N. C., Kaplan, D., Ramineni, C., & Locuniak, M. N. (2009). Early math matters: Kindergarten number competence and later mathematics outcomes. Developmental Psychology, 45(3), 850–867.
   PubMed Web of Science ®Google Scholar
• Kaufmann, L., Nuerk, H.-C., Graf, M., Krinzinger, H., Delazer, M., & Willmes, K. (2009). TEDI-Math. Test zur Erfassung numerisch-rechnerischer Fertigkeiten vom Kindergarten bis zur 3. Klasse [Test of basic competences in numerical and artihmetic skills]. Bern: Huber.
   Google Scholar
• Kolkman, M. E., Kroesbergen, E. H., & Leseman, P. P. M. (2013). Early numerical development and the role of non-symbolic and symbolic skills. Learning and Instruction, 25(1), 95–103.
   Google Scholar
• Krajewski, K. (2008). Prävention der Rechenschwäche [The early prevention of mathematics difficulties]. In W. Schneider & M. Hasselhorn (Eds.), Handbuch der Pädagogischen Psychologie (pp. 360–370). Goettingen, Germany: Hogrefe.
   Google Scholar
• Krajewski, K., & Schneider, W. (2009). 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, 19(6), 513–526.
   Web of Science ®Google Scholar
• Kroesbergen, E. H., & Van Dijk, M. (2015). Working memory and number sense as predictors of mathematical (dis-)ability. Zeitschrift für Psychologie, 223, 102–109.
   Web of Science ®Google Scholar
• Lemons, C. J., Powell, S. R., King, S. A., & Davidson, K. A. (2015). Mathematics interventions for children and adolescents with Down syndrome: A research synthesis. Journal of Intellectual Disability Research, 59(8), 767–783.
   PubMed Web of Science ®Google Scholar
• Missall, K. N., Mercer, S. H., Martínez, R. S., & Casebeer, D. (2012). Concurrent and longitudinal patterns and trends in performance on early numeracy curriculum-based measures in kindergarten through third grade. Assessment for Effective Intervention, 37(2), 95–106.
   Google Scholar
• Murphy, M. M. (2009). A review of mathematical learning disabilities in children with fragile X syndrome. Developmental Disabilities Research Reviews, 15(1), 21–27.
   PubMedGoogle Scholar
• O‘Hearn, K., & Luna, B. (2009). Mathematical skills in Williams syndrome: Insight into the importance of underlying representations. Developmental Disabilities Research Reviews, 15(1), 11–20.
   PubMedGoogle Scholar
• Parsons, S., & Bynner, J. (1997). Numeracy and employment. Education + Training, 39(2), 43–51.
   Google Scholar
• Parsons, S., & Bynner, J. (2005). Does numeracy matter more? Retrieved from http://dera.ioe.ac.uk/22317/1/doc_2979.pdf
   Google Scholar
• Passolunghi, M. C., Vercelloni, B., & Schadee, H. (2007). The precursors of mathematics learning: Working memory, phonological ability and numerical competence. Cognitive Development, 22(2), 165–184.
   Web of Science ®Google Scholar
• Praet, M., Titeca, D., Ceulemans, A., & Desoete, A. (2013). Language in the prediction of arithmetics in kindergarten and grade 1. Learning and Individual Differences, 27, 90–96.
   Web of Science ®Google Scholar
• Raghubar, K. P., Barnes, M. A., & Hecht, S. A. (2010). Working memory and mathematics: A review of developmental, individual difference, and cognitive approaches. Learning and Individual Differences, 20(2), 110–122.
   Web of Science ®Google Scholar
• Reyna, V. F., Nelson, W. L., Han, P. K., & Dieckmann, N. F. (2009). How numeracy influences risk comprehension and medical decision making. Psychological Bulletin, 135(6), 943–973.
   PubMed Web of Science ®Google Scholar
• Schalock, R., Borthwick-Duffy, S. A., Bradley, V. J., Bruntix, W. H. E., Coulter, D. L., Craig, E. M., … Yeager, M. H. (2010). Intellectual disability: Definition, classification, and systems of supports. Washington: American Association on Intellectual and Developmental Disabilities.
   Google Scholar
• Schneider, M., Beeres, K., Coban, L., Merz, S., Schmidt, S., Stricker, J., & De Smedt, B. (2017). Associations of non-symbolic and symbolic numerical magnitude processing with mathematical competence: A meta-analysis. Developmental Science, 20(3), 1–16.
   Web of Science ®Google Scholar
• Schuchardt, K., Gebhardt, M., & Mäehler, C. (2010). Working memory functions in children with different degrees of intellectual disability. Journal of Intellectual Disability Research, 54(4), 346–353.
   PubMedGoogle Scholar
• Tessari Veyre, A., Petitpierre, G., & Gremaud, G. (2015). Quelle place pour les mathématiques dans la vie des personnes avec une déficience intellectuelle? [The place of mathematics in everyday life for persons with intellectual disability]. Les Cahiers de l‘Actif, 472-473 (pp. 163–183).
   Google Scholar
• Toll, S. W. M., Kroesbergen, E. H., & Van Luit, J. E. H. (2016). Visual working memory and number sense: Testing the double deficit hypothesis in mathematics. British Journal of Educational Psychology, 86(3), 429–445.
   Web of Science ®Google Scholar
• Toll, S. W. M., & Van Luit, J. E. H. (2014). Explaining numeracy development in weak performing kindergartners. Journal of Experimental Child Psychology, 124, 97–111.
   PubMed Web of Science ®Google Scholar
• van der Molen, M. J. V., van Luit, J. E. H., van der Molen, M. W., & Jongmans, M. J. (2010). Everyday memory and working memory in adolescents with mild intellectual disability. American Journal on Intellectual and Developmental Disabilities, 115(3), 207–217.
   PubMedGoogle Scholar
• van Nieuwenhoven, C., Grégoire, J., & Noël, M.-P. (2001). TEDI-Math. Test diagnostique des compétences de base en mathématiques [Test of basic competences in numerical and artihmetic skills]. Paris: ECPA.
   Google Scholar
• Verein Hand in Hand. (2011). Yes, we can!. Loeben, Austria: Author.
   Google Scholar
• Young, M., Baker, J., & Martin, M. (1990). Teaching basic number skills to students with a moderate intellectual disability. Education and Training in Mental Retardation, 25, 83–93.
   Google Scholar