Skip to main content

Comorbidity and Differential Diagnosis of Dyscalculia and ADHD

  • Chapter
  • First Online:
International Handbook of Mathematical Learning Difficulties
  • 5491 Accesses

Abstract

Whenever there is a choice between different treatment options for children with mathematical learning disability (MLD), it is important to understand the respective reasons. If mathematical difficulties are not a consequence of a core deficit in number magnitude representation but secondary to another problem (like ADHD or anxiety), this should be treated first. However, the results of a dyscalculia test alone are often insufficient to disentangle the possible reasons for a respective bad outcome.

The present qualitative error analysis was carried out in a clinical sample of 51 secondary school pupils to gain more information about possible cognitive markers for respective differential diagnoses. The main results were that a group with primary MLD (or dyscalculia) did not differ from a group with secondary MLD in a variety of procedural errors (e.g. trading errors) and in multiplication table errors. On the other hand, several error types which can only be explained by faulty conceptual understanding of calculation procedures or the decimal system of numbers were made significantly more often by children with primary MLD. In conclusion, the more conceptual errors a pupil makes in basic arithmetic tasks, the higher is the need for an individual learning therapy.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 279.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Ackerman, P. T., Anhalt, J. M., & Dykman, R. A. (1986). Arithmetic automatization failure in children with attention and reading disorders: associations and sequela. Journal of Learning Disabilities, 4, 222–232.

    Article  Google Scholar 

  • Ackerman, P. T., Dykman, R. A., & Peters, J. E. (1977). Learning disabled boys as adolescents: Cognitive factors and achievement. Journal of the American Academy of Child Psychiatry, 16, 296–313.

    Article  Google Scholar 

  • American Psychiatric Association. (2013). DSM-5: Diagnostic and statistical manual of mental disorders (5th ed.). Washington, D.C.: American Psychiatric Association.

    Book  Google Scholar 

  • Angold, A., Costello, E. J., & Erkanli, A. (1999). Comorbidity. Journal of Child Psychology and Psychotherapy, 40, 57–87.

    Article  Google Scholar 

  • Arcelus, J., & Vostanis, P. (2005). Psychiatric comorbidity in children and adolescents. Current Opinion in Psychiatry, 18, 429–434.

    Article  Google Scholar 

  • Auerbach, J. G., Gross-Tsur, V., Manor, O., & Shalev, R. S. (2008). Emotional and behavioral characteristics over a six-year period in youth with persistent and nonpersistent dyscalculia. Journal of Learning Disabilities, 41, 263–273.

    Article  Google Scholar 

  • Badian, N. A. (1983). Dyscalculia and nonverbal disorders of learning. In H. R. Myklebust (Ed.), Progress in learning disabilities (Vol. 5, pp. 235–264). New York: Stratton.

    Google Scholar 

  • Barkley, R. A. (1997). Behavioral inhibition, sustained attention, and executive functions: Constructing a unifying theory of ADHD. Psychological Bulletin, 121(1), 65–94.

    Article  Google Scholar 

  • Benedetto-Nasho, E., & Tannock, R. (1999). Math computation, error patterns and stimulant effects in children with attention deficit hyperactivity disorder. Journal of Attention Disorders, 3, 121–134.

    Article  Google Scholar 

  • Booth, J. L., & Siegler, R. S. (2006). Developmental and individual differences in pure numerical estimation. Developmental Psychology, 4, 189–201.

    Article  Google Scholar 

  • Bugden, S., & Ansari, D. (2015). Probing the nature of deficits in the “approximate number system” in children with persistent developmental dyscalculia. Developmental Science, 19, 817. https://doi.org/10.1111/desc.12324

    Article  Google Scholar 

  • Carlson, C. L., Pelham, W. E., Swanson, J. M., & Wagner, J. L. (1991). A divided attention analysis of the effects of methylphenidate on the arithmetic performance of children with attention-deficit hyperactivity disorder. Journal of Child Psychology and Psychiatry, 32, 463–471.

    Article  Google Scholar 

  • Costa, A. J., Silva, J. B., Pinhero-Chagas, P., Krinzinger, H., Lonnemann, J., Willmes, K., et al. (2011). A hand full of numbers: a role for offloading in arithmetics learning? Frontiers in Psychology, 2, 368. https://doi.org/10.3389/fpsyg.2011.00368

    Article  Google Scholar 

  • De Visscher, A., & Noël, M.-P. (2014). The detrimental effect of interference in multiplication fact storing: typical development and individual differences. Journal of Experimental Psychology: General, 143, 2380–2400.

    Article  Google Scholar 

  • De Visscher, A., & Noël, M.-P. (2015). Serial-order learning impairment and hypersensitivity-to-interference in dyscalculia. Cognition, 144, 38–48.

    Article  Google Scholar 

  • Desoete, A. (2008). Co-morbidity in mathematical learning disabilities: Rule or exception? The Open Rehabilitation Journal, 1, 15–16.

    Article  Google Scholar 

  • Dilling, H., Mombour, W., & Schmidt, M. H. (1993). Internationale Klassifikation psychischer Störungen: ICD-10. Bern: Verlag Hans Huber.

    Google Scholar 

  • Domahs, F., Krinzinger, H., & Willmes, K. (2008). Mind the gap between both hands: Evidence for internal finger-based number representations in children’s mental calculation. Cortex, 44, 359–367.

    Article  Google Scholar 

  • Douglas, V. I., Barr, R. G., O’Neill, M. E., & Britton, B. G. (1986). Short term effects of methylphenidate on the cognitive learning and academic performance of children with attention deficit disorder in the laboratory and the classroom. Journal of Child Psychology and Psychiatry, 27, 191–211.

    Google Scholar 

  • Eden, C., Heine, A., & Jacobs, A. M. (2013). Mathematics anxiety and its development in the course of formal schooling—A review. Psychology, 4, 27–35. https://doi.org/10.4236/psych.2013.46A2005

    Article  Google Scholar 

  • Elia, J., Welsh, P. A., Gullotta, C. S., & Rapoport, J. L. (1993). Classroom academic performance: Improvement with both methylphenidate and dextroamphetamine in ADHD boys. Journal of Child Psychology and Psychatry, 34, 785–804.

    Article  Google Scholar 

  • Friso-van den Bos, I., van der Ven, S. H. G., Kroesbergen, E. H., & van Luit, J. E. H. (2013). Working memory and mathematics in primary school children: A meta-analysis. Educational Research Review, 10, 29–44.

    Article  Google Scholar 

  • Geary, D. C. (1993). Mathematical disabilities: Cognitive, neuropsychological, and genetic components. Psychological Bulletin, 114, 345–362.

    Article  Google Scholar 

  • Geary, D. C. (2005). The role of cognitive theory in the study of learning disability in mathematics. Journal of Learning Disabilities, 38, 305–307.

    Article  Google Scholar 

  • Gilmore, C., Attridge, N., Clayton, S., Cragg, L., Johnson, S., Marlow, N., et al. (2013). Individual differences in inhibitory control, not non-verbal number acuity, correlate with mathematics achievement. PLoS One, 8, e67374.

    Article  Google Scholar 

  • Gross-Tsur, V., Manor, O., & Shalev, R. S. (1996). Developmental dyscalculia: prevalence and demographic features. Developmental Medicine and Child Neurology, 38, 25–33.

    Article  Google Scholar 

  • Günther, T., Holtkamp, K., Jolles, J., Herpertz-Dahlmann, B., & Konrad, K. (2004). Verbal memory and aspects of attentional control in children and adolescents with anxiety disorders or depressive disorders. Journal of Affective Disorders, 82, 265–269.

    Article  Google Scholar 

  • Hembree, R. (1990). The nature, effects, and relief of mathematics anxiety. Journal of Research in Mathematics Education, 21, 33–46.

    Article  Google Scholar 

  • Kaufmann, L., Mazzocco, M. M., Dowker, A., von Aster, M., Göbel, S. M., Grabner, R. H., & Rubinsten, O. (2013). Dyscalculia from a developmental and differential perspective. Frontiers in Psychology, 4, 516. https://doi.org/10.3389/fpsyg.2013.00516

    Article  Google Scholar 

  • Krinzinger, H. (2016). Differential diagnosis of primary and secondary mathematical learning disability – Indications from the dyscalculia test Basis-Math 4–8. Zeitschrift für Kinder- und Jugendpsychiatrie und Psychotherapie, 44, 1–13. https://doi.org/10.1024/1422-4917/a000446

    Article  Google Scholar 

  • Krinzinger, H., & Günther, T. (in press). Rechnen und Zahlenverarbeitung. In R. Drechsler & T. Günther (Eds.), Handbuch neuropsychologischer Testverfahren, Band 2: Kinder und Jugendliche. Göttingen: Hogrefe.

    Google Scholar 

  • Lindsay, R. L., Tomazic, T., Levine, M. D., & Accardo, P. J. (1999). Impact of attentional dysfunction in dyscalculia. Developmental Medicine and Child Neurology, 41, 639–642.

    Article  Google Scholar 

  • Moran, T. P. (2016). Anxiety and working memory capacity: A meta-analysis and narrative review. Psychological Bulletin, 142(8), 831–864.

    Article  Google Scholar 

  • Moreno-De-Luca, A., Myers, S. M., Challman, T. D., Moreno-De-Luca, D., Evans, D. W., & Ledbetter, D. H. (2013). Developmental brain dysfunction: Revival and expansion of old concepts based on new genetic evidence. The Lancet, 12, 406–414.

    Article  Google Scholar 

  • Moser-Opitz, E., Reusser, L., Moeri Müller, M., Anliker, B., Wittich, C., & Freesemann, C. (2010). Basisdiagnostik Mathematik für die Klassen 4–8 (BASIS-MATH 4–8). Bern: Huber.

    Google Scholar 

  • Paglin, M., & Rufolo, A. M. (1990). Heterogeneous human capital, occupation choice, and male-female earning differences. Journal of Labor Economics, 8, 123–144.

    Article  Google Scholar 

  • Parsons, S. & Bynner, J. (2005)..Does numeracy matter more? Retrieved from: http://nrdc.org.uk/publications

  • Passolunghi, M. C., Cargnelutti, E., & Pastore, M. (2014). The contribution of general cognitive abilities and approximate number system to early mathematics. British Journal of Educational Psychology, 84, 631–649. https://doi.org/10.1111/bjep.12054

    Article  Google Scholar 

  • Petermann, F., & Petermann, U. (2007). Hamburg-Wechsler Intellligenztest für Kinder IV. Bern: Huber.

    Google Scholar 

  • Raghubar, K., Cirino, P., Barnes, M., Ewing-Cobbs, L., Fletcher, J., & Fuchs, L. (2009). Errors in multi-digit arithmetic and behavioural inattention in children with math difficulties. Journal of Learning Disabilities, 42, 356–371.

    Article  Google Scholar 

  • Ramirez, G., & Beilock, S. L. (2011). Writing about testing worries boosts exam performance in the classroom. Science, 331(6014), 211–213.

    Article  Google Scholar 

  • Rapin, I. (2014). Classification of behaviorally defined disorders: Biology versus the DSM. Journal of Autism and Developmental Disorders, 44, 2661–2666.

    Article  Google Scholar 

  • Rubinsten, O., Bedard, A.-C., & Tannock, R. (2008). Methylphenidate has differential effects on numerical abilities in ADHD children with and without co-morbid mathematical difficulties. The Open Psychology Journal, 1, 11–17.

    Article  Google Scholar 

  • Rubinsten, O., & Henik, A. (2009). Developmental dyscalculia: different mechanisms might not mean different mechanisms. Trends in Cognitive Sciences, 13, 92–99.

    Article  Google Scholar 

  • Samet, S., Nunes, E. V., & Hasin, D. (2004). Diagnosing comorbidity: concepts, criteria, and methods. Acta Neuropsychiatrica, 16, 9–18.

    Article  Google Scholar 

  • Seidman, L. J., Biederman, J., Weber, W., Hatch, M., & Faraone, S. V. (1998). Neuropsychological function in adults with attention-deficit hyperactivity disorder. Biological Psychiatry, 44, 260–268.

    Article  Google Scholar 

  • Shalev, R., Manor, O., & Gros-Tsur, V. (2005). Developmental dyscalculia: a prospective six-year follow-up. Developmental Medicine and Child Neurology, 47, 121–125.

    Article  Google Scholar 

  • Silva, D., Colvin, L., Glauert, R., Stanley, F., Srinivasjois, R., & Bower, C. (2015). Literacy and numeracy underachievement in boys and girls with ADHD. Journal of Attention Disorders. https://doi.org/10.1177/1087054715596575

  • Simms, V., Gilmore, C., Cragg, L., Clayton, S., Marlow, N., & Johnson, S. (2015). Nature and origins of mathematics difficulties in very preterm children: A different etiology than developmental dyscalculia. Pediatric Research, 77, 389–395.

    Article  Google Scholar 

  • Von Aster, M. (2000). Developmental cognitive neuropsychology of number processing and calculation: Varieties of developmental dyscalculia. European Child & Adolescent Psychiatry, 9, 41–57.

    Article  Google Scholar 

  • Von Aster, M., Weinhold Zulauf, M., & Horn, R. (2009). Neuropsychologische Testbatterie für Zahlenverarbeitung und Rechnen bei Kindern – revidierte Fassung. Zareki-R. Frankfurt/Main: Pearson.

    Google Scholar 

  • Wilcutt, E. G., Pennington, B. F., Duncan, L., Smith, S. D., Keenan, J. M., Wadsworth, S., et al. (2010). Understanding the complex etiologies of developmental disorders: Behavioral and molecular genetic approaches. Journal of Developmental & Behavioral Pediatrics, 31, 533–544.

    Article  Google Scholar 

  • Wilson, A. J., & Dehaene, S. (2007). Number sense and developmental dyscalculia. In D. Coch, G. Dawson, & K. Fischer (Eds.), Human behavior, learning and the developing brain: Atypical development (pp. 212–378). New York: Guilford.

    Google Scholar 

  • Zentall, S. (1990). Fact-retrieval automatization and math problem solving by learning disabled, attention-disordered, and normal adolescents. Journal of Educational Psychology, 82, 856–865.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Helga Krinzinger .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer International Publishing AG, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Krinzinger, H. (2019). Comorbidity and Differential Diagnosis of Dyscalculia and ADHD. In: Fritz, A., Haase, V.G., Räsänen, P. (eds) International Handbook of Mathematical Learning Difficulties. Springer, Cham. https://doi.org/10.1007/978-3-319-97148-3_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-97148-3_24

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-97147-6

  • Online ISBN: 978-3-319-97148-3

  • eBook Packages: EducationEducation (R0)

Publish with us

Policies and ethics