Abstract

Although progress has been made, the cognitive, biological and, particularly, the genetic underpinnings of math learning difficulties (MD) remain largely unknown. This difficulty stems from the heterogeneity of MD and from the large contribution of environmental factors to its etiology. Understanding endophenotypes, e.g., the role of the Approximate Number System (ANS), may help understanding the nature of MD. MD associated with ANS impairments has been described in some genetic conditions, e.g., 22q11.2 deletion syndrome (22q11.2DS or Velocardiofacial syndrome, VCFS). Recently, a girl with MD was identified in a school population screening. She has a new syndrome resulting from a microdeletion in 22q11.2 (LCR22-4 to LCR22-5), a region adjacent to but not overlapping with region 22q11.2 (LCR22-2 to LCR22-4), typically deleted in VCFS. Here, we describe her cognitive-neuropsychological and numerical-cognitive profiles. The girl was assessed twice, at 8 and 11 years. Her numerical-cognitive performance at both times was compared to demographically similar girls with normal intelligence in a single-case, quasi-experimental study. Neuropsychological assessment was normal, except for relatively minor impairments in executive functions. She presented severe and persistent difficulties in the simplest single-digit calculations. Difficulties in commutative operations improved from the first to the second assessment. Difficulties in subtraction persisted and were severe. No difficulties were observed in Arabic number writing. Difficulties in single-digit calculation co-occurred with basic numerical processing impairments in symbolic and non-symbolic (single-digit comparison, dot sets size comparison and estimation) tasks. Her difficulties suggest ANS impairment. No difficulties were detected in visuospatial/visuoconstructional and in phonological processing tasks. The main contributions of the present study are: (a) this is the first characterization of the neuropsychological phenotype in 22q11.2DS (LCR22-4 to LCR22.5) with normal intelligence; (b) mild forms of specific genetic conditions contribute to persistent MD in otherwise typical persons; (c) heterogeneity of neurogenetic underpinnings of MD is suggested by poor performance in non-symbolic numerical processing, dissociated from visuospatial/visuoconstructional and phonological impairments; (d) similar to what happens in 22q11.2DS (LCR22-2 to LCR22-4), ANS impairments may also characterize 22q11.2DS (LCR22-4 to LCR22-5).

Highlights

  • Number processing abilities, such as magnitude comparison and estimation, and knowledge about the numerals, have been implicated in both typical and atypical math learning (Siegler and Braithwaite, 2017)

  • To elucidate the genomic variations contributing to math learning difficulties, in a previous population study (n = 1,520 children), we investigated some genotypic and phenotypic characteristics of MD children, defined as standardized math achievement below the PR 25 (Ferreira et al, 2012)

  • Among 82 MD children, we identified a 8-year-old girl presenting a microdeletion on chromosome 22q11.2 in the LCR22-4 to LCR22-5 interval (Carvalho et al, 2014)

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Summary

Introduction

Number processing abilities, such as magnitude comparison and estimation, and knowledge about the numerals, have been implicated in both typical and atypical math learning (Siegler and Braithwaite, 2017). Meta-analyses indicate that correlations between number processing and math achievement are weak (r’s between 0.2 and 0.3) and are slightly larger for symbolic over non-symbolic numerical processing (Chen and Li, 2014; Fazio et al, 2014; Schneider et al, 2017). It is unknown how and when non-symbolic and symbolic processing influence math learning (Leibovich et al, 2017)

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