Lucy Cragg

Individual Differences in Inhibitory Control, Not Non-Verbal Number Acuity, Correlate with Mathematics Achievement

Given the well-documented failings in mathematics education in many Western societies, there has been an increased interest in understanding the cognitive underpinnings of mathematical achievement. Recent research has proposed the existence of an Approximate Number System (ANS) which allows individuals to represent and manipulate non-verbal numerical information. Evidence has shown that performance on a measure of the ANS (a dot comparison task) is related to mathematics achievement, which has led researchers to suggest that the ANS plays a critical role in mathematics learning. Here we show that, rather than being driven by the nature of underlying numerical representations, this relationship may in fact be an artefact of the inhibitory control demands of some trials of the dot comparison task. This suggests that recent work basing mathematics assessments and interventions around dot comparison tasks may be inappropriate.

Eye-movement patterns are associated with communicative competence in autistic spectrum disorders

BACKGROUND Investigations using eye-tracking have reported reduced fixations to salient social cues such as eyes when participants with autism spectrum disorders (ASD) view social scenes. However, these studies have not distinguished different cognitive phenotypes. METHODS The eye-movements of 28 teenagers with ASD and 18 typically developing peers were recorded as they watched videos of peers interacting in familiar situations. Within ASD, we contrasted the viewing patterns of those with and without language impairments. The proportion of time spent viewing eyes, mouths and other scene details was calculated, as was latency of first fixation to eyes. Finally, the association between viewing patterns and social-communicative competence was measured. RESULTS Individuals with ASD and age-appropriate language abilities spent significantly less time viewing eyes and were slower to fixate the eyes than typically developing peers. In contrast, there were no differences in viewing patterns between those with language impairments and typically developing peers. Eye-movement patterns were not associated with social outcomes for either language phenotype. However, increased fixations to the mouth were associated with greater communicative competence across the autistic spectrum. CONCLUSIONS Attention to both eyes and mouths is important for language development and communicative competence. Differences in fixation time to eyes may not be sufficient to disrupt social competence in daily interactions. A multiple cognitive deficit model of ASD, incorporating different language phenotypes, is advocated.

Skills underlying mathematics: The role of executive function in the development of mathematics proficiency

The successful learning and performance of mathematics relies on a range of individual, social and educational factors. Recent research suggests that executive function skills, which include monitoring and manipulating information in mind (working memory), suppressing distracting information and unwanted responses (inhibition) and flexible thinking (shifting), play a critical role in the development of mathematics proficiency. This paper reviews the literature to assess concurrent relationships between mathematics and executive function skills, the role of executive function skills in the performance of mathematical calculations, and how executive function skills support the acquisition of new mathematics knowledge. In doing so, we highlight key theoretical issues within the field and identify future avenues for research.

Exploring Written Narrative in Children with Poor Reading Comprehension

This study investigated written language production in 10‐year‐old children with impaired reading comprehension. Despite fluent and accurate reading, these children are poor at understanding what they read. Participants completed a spelling test, and were asked to write an extended narrative, prompted by a series of pictures. Poor comprehenders showed age‐appropriate spelling skills, and their narratives did not differ from those produced by control children in terms of length or syntactic complexity. However, their narratives captured less of the story content, and contained a less sophisticated story structure. These findings are discussed within a framework that sees weaknesses in aspects of oral language placing constraints on aspects of written language production.

Language and the development of cognitive control.

We review the relationships between language, inner speech, and cognitive control in children and young adults, focusing on the domain of cognitive flexibility. We address the role that inner speech plays in flexibly shifting between tasks, addressing whether it is used to represent task rules, provide a reminder of task order, or aid in task retrieval. We also consider whether the development of inner speech in childhood serves to drive the development of cognitive flexibility. We conclude that there is a close association between inner speech and cognitive flexibility in both adults and children. Experimental work has begun to specify in detail the role that inner speech might play in adult performance, suggesting that language plays a facilitative but not essential role in representing and activating the relevant task set, processes that occur on both switch and nonswitch trials. While developmental studies suggest an increase in the spontaneous use of verbal strategies with age, implying an increase in top-down control during shifting, experimental work is needed to specify more precisely the nature and precise role that inner speech plays in the development of cognitive control through childhood.

The processes underlying flexibility in childhood

It is now well established in the adult literature that the ability to engage in flexible thought and action is a complex skill that relies on a number of underlying processes. The development of this skill has received growing interest in recent years. However, theories explaining childrens ability to switch between different tasks typically focus on a single underlying process and are rarely extended to explain development beyond the preschool years. This article reviews the current literature on set shifting in children in comparison with task switching in adults, in order to highlight the range of factors that impact on childrens ability to flexibly shift between tasks. In doing this we hope to set the scene for future research that can begin to establish the relationships between these processes and how they change with age.

Go or no‐go? Developmental improvements in the efficiency of response inhibition in mid‐childhood

This experiment used a modified go/no-go paradigm to investigate the processes by which response inhibition becomes more efficient during mid-childhood. The novel task, which measured trials on which a response was initiated but not completed, was sensitive to developmental changes in response inhibition. The effect of inducing time pressure by narrowing allowable response time was also examined. While increasing time pressure did not reduce the inhibitory demands of the task for either age group, older children (aged 9 to 11 years) were able to inhibit their responses at an earlier stage of movement than younger children (aged 5 to 7 years). This shows that as children get older they become more efficient at controlling their behaviour which drives developmental improvements in response inhibition.

Self-ordered pointing as a test of working memory in typically developing children

The self-ordered pointing test (SOPT; Petrides & Milner, 1982) is a test of non-spatial executive working memory requiring the ability to generate and monitor a sequence of responses. Although used with developmental clinical populations there are few normative data against which to compare atypical performance. Typically developing children (5–11 years) and young adults performed two versions of the SOPT, one using pictures of familiar objects and the other hard-to-verbalise abstract designs. Performance improved with age but the children did not reach adult levels of performance. Participants of all ages found the object condition easier than the abstract condition, suggesting that verbal processes are utilised by the SOPT. However, performance on the task was largely independent from verbal and nonverbal cognitive ability. Overall the results suggest that the SOPT is a sensitive measure of executive working memory.

Nature and origins of mathematics difficulties in very preterm children: a different etiology than developmental dyscalculia.

Background:Children born very preterm (<32 wk) are at high risk for mathematics learning difficulties that are out of proportion to other academic and cognitive deficits. However, the etiology of mathematics difficulties in very preterm children is unknown. We sought to identify the nature and origins of preterm children’s mathematics difficulties.Methods:One hundred and fifteen very preterm children aged 8–10 y were assessed in school with a control group of 77 term-born classmates. Achievement in mathematics, working memory, visuospatial processing, inhibition, and processing speed were assessed using standardized tests. Numerical representations and specific mathematics skills were assessed using experimental tests.Results:Very preterm children had significantly poorer mathematics achievement, working memory, and visuospatial skills than term-born controls. Although preterm children had poorer performance in specific mathematics skills, there was no evidence of imprecise numerical representations. Difficulties in mathematics were associated with deficits in visuospatial processing and working memory.Conclusion:Mathematics difficulties in very preterm children are associated with deficits in working memory and visuospatial processing not numerical representations. Thus, very preterm children’s mathematics difficulties are different in nature from those of children with developmental dyscalculia. Interventions targeting general cognitive problems, rather than numerical representations, may improve very preterm childrens mathematics achievement.

Mathematics difficulties in children born very preterm: current research and future directions

Children born very preterm have poorer attainment in all school subjects, and a markedly greater reliance on special educational support than their term-born peers. In particular, difficulties with mathematics are especially common and account for the vast majority of learning difficulties in this population. In this paper, we review research relating to the causes of mathematics learning difficulties in typically developing children, and the impact of very preterm birth on attainment in mathematics. Research is needed to understand the specific nature and origins of mathematics difficulties in very preterm children to target the development of effective intervention strategies.