Short-term numerosity training promotes symbolic arithmetic in children with developmental dyscalculia: The mediating role of visual form perception.

Studies have shown that numerosity-based arithmetic training can promote arithmetic learning in typically developing children as well as children with developmental dyscalculia (DD), but the cognitive mechanism underlying this training effect remains unclear. The main aim of the current study was to examine the role of visual form perception in arithmetic improvement through an 8-day numerosity training for DD children. Eighty DD children were selected from four Chinese primary schools. They were randomly divided into the intervention and control groups. The intervention group received training on an apple-collecting game, whereas the control group received an English dictation task. Children's cognitive and arithmetic performances were assessed before and after training. The results showed that the intervention group showed a significant improvement in arithmetic performance, approximate number system (ANS) acuity, and visual form perception, but not in spatial processing and sentence comprehension. The control group showed no significant improvement in any cognitive ability. Mediation analysis further showed that training-related improvement in arithmetic performance was fully mediated by the improvement in visual form perception. The results suggest that short-term numerosity training enhances the arithmetic performance of DD children by improving their visual form perception.

The Diagnosis and Treatment of Dyscalculia.

BACKGROUND: 3-7% of all children, adolescents, and adults suffer from dyscalculia. Severe, persistent difficulty performing arithmetical calculations leads to marked impairment in school, at work, and in everyday life and elevates the risk of comorbid mental disorders. The state of the evidence underlying various methods of diagnosing and treating this condition is unclear. METHODS: Systematic literature searches were carried out from April 2015 to June 2016 in the PsycInfo, PSYNDEX, MEDLINE, ProQuest, ERIC, Cochrane Library, ICTRP, and MathEduc databases. The main search terms on dyscalculia were the German terms "Rechenstörung," "Rechenschwäche," and "Dyskalkulie" and the English terms "dyscalculia," "math disorder, and "math disability." The data from the retrieved studies were evaluated in a meta-analysis, and corresponding recommendations on the diagnosis and treatment of dyscalculia were jointly issued by the 20 societies and associations that participated in the creation of this guideline. RESULTS: The diagnosis of dyscalculia should only be made if the person in question displays below-average mathematical performance when seen in the context of relevant information from the individual history, test findings, clinical examination, and further psychosocial assessment. The treatment should be directed toward the individual mathematical problem areas. The mean effect size found across all intervention trials was 0.52 (95% confidence interval [0.42; 0.62]). Treatment should be initiated early on in the primary-school years and carried out by trained specialists in an individual setting; comorbid symptoms and disorders should also receive attention. Persons with dyscalculia are at elevated risk of having dyslexia as well (odds ratio [OR]: 12.25); the same holds for attention deficit/hyperactivity disorder and for other mental disorders, both internalizing (such as anxiety and depression) and externalizing (e.g., disorders characterized by aggression and rule-breaking). CONCLUSION: Symptom-specific interventions involving the training of specific mathematical content yield the best results. There is still a need for high-quality intervention trials and for suitable tests and learning programs for older adolescents and adults.

Effectiveness of working memory training among children with dyscalculia: evidence for transfer effects on mathematical achievement-a pilot study.

We examined whether the working memory (WM) capacity of developmentally dyscalculic children can be improved by a WM training program and whether outcomes relate to mathematical performance. The experimental design comprised two groups with developmental dyscalculia with grade 4 schooling: an experimental group (n = 14; mean age = 115.29 months) and a control group (n = 14; mean age = 116.07 months). All participants were assessed on measures of WM, mathematic attainment, and nonverbal mental ability (Raven test) before and after training. The WM training program focused on manipulating and maintaining arithmetic information. The results show that both WM and mathematical performances improved significantly after intervention, indicating a strong relationship between these two constructs. The control group improved slightly in Raven's progressive matrices and a reading number task. These findings are discussed in terms of near and far transfer toward trained and untrained skills and stress the positive impact of WM training on learning mathematics in children with dyscalculia.

Dyscalculia and the Calculating Brain.

Dyscalculia, like dyslexia, affects some 5% of school-age children but has received much less investigative attention. In two thirds of affected children, dyscalculia is associated with another developmental disorder like dyslexia, attention-deficit disorder, anxiety disorder, visual and spatial disorder, or cultural deprivation. Infants, primates, some birds, and other animals are born with the innate ability, called subitizing, to tell at a glance whether small sets of scattered dots or other items differ by one or more item. This nonverbal approximate number system extends mostly to single digit sets as visual discrimination drops logarithmically to "many" with increasing numerosity (size effect) and crowding (distance effect). Preschoolers need several years and specific teaching to learn verbal names and visual symbols for numbers and school agers to understand their cardinality and ordinality and the invariance of their sequence (arithmetic number line) that enables calculation. This arithmetic linear line differs drastically from the nonlinear approximate number system mental number line that parallels the individual number-tuned neurons in the intraparietal sulcus in monkeys and overlying scalp distribution of discrete functional magnetic resonance imaging activations by number tasks in man. Calculation is a complex skill that activates both visual and spatial and visual and verbal networks. It is less strongly left lateralized than language, with approximate number system activation somewhat more right sided and exact number and arithmetic activation more left sided. Maturation and increasing number skill decrease associated widespread non-numerical brain activations that persist in some individuals with dyscalculia, which has no single, universal neurological cause or underlying mechanism in all affected individuals.

Neurocognitive accounts of developmental dyscalculia and its remediation.

Numbers are one of the most pervasive stimulus categories in our environment and an integral foundation of modern society. Yet, up to 20% of individuals fail to understand, represent, and manipulate numbers and form the basis of arithmetic, a condition termed developmental dyscalculia (DD). Multiple cognitive and neural systems including those that serve numerical, mnemonic, visuospatial, and cognitive control functions have independently been implicated in the etiology of DD, yet most studies have not taken a comprehensive or dynamic view of the disorder. This chapter supports the view of DD as a multifaceted neurodevelopmental disorder that is the result of multiple aberrancies at one or multiple levels of the information processing hierarchy, which supports successful arithmetic learning, and suggests that interventions should target all these systems to achieve successful outcomes, at the behavioral and neural levels.

Remedial early numeracy education: can children identified as having a language deficiency benefit?

BACKGROUND: Growing attention has been paid to the possibility of supporting early numeracy in at-risk kindergartners. Furthermore, it is assumed that language proficiency is an important prerequisite in early maths skills. AIMS: To examine whether remedial early numeracy education in kindergarten, which has been proven to be effective in general, is also beneficial for children with a language deficiency. METHODS & PROCEDURES: Based on intensive selection, four different conditions were included: two groups received remedial education, one consisting of children being language proficient (N = 86) and one of children with a language deficiency (N = 26), and two groups followed the regular curriculum, one consisting of children being language proficient (N = 51) and one of children with a language deficiency (N = 24). Remedial education was for 1.5 school years (90 sessions, 30 min per session, twice per week), following the programme 'The Road to Mathematics'. During this period, the children receiving remedial education did not attend the regular maths lessons in the classroom, which were offered for at least 1 h per week. Effects were assessed for early numeracy and mathematical skills (operationalized as basic calculation fluency) in kindergarten and first grade. OUTCOMES & RESULTS: Three analyses of covariance (ANCOVAs) revealed that, when accounting for achievement at pre-test, children with a language deficiency who received remedial numeracy education performed better on early numeracy skills in kindergarten and first grade than kindergartners with a language deficiency that followed the regular curriculum. Furthermore, they were able to catch up with their language proficient peers in early numeracy. However, children with a language deficiency who received remedial numeracy education did not differ from children who followed the regular curriculum on mathematical skills, suggesting that benefits for numeracy did not generalize to more advanced skills of addition and subtraction. CONCLUSIONS & IMPLICATIONS: Since, in general, it can be concluded that early numeracy education is indeed effective for kindergartners with a language deficiency, this study finds evidence that intensive support is desirable for children with delayed or impaired language development.

Developmental dyscalculia.

UNLABELLED: Numerical skills are essential in our everyday life, and impairments in the development of number processing and calculation have a negative impact on schooling and professional careers. Approximately 3 to 6 % of children are affected from specific disorders of numerical understanding (developmental dyscalculia (DD)). Impaired development of number processing skills in these children is characterized by problems in various aspects of numeracy as well as alterations of brain activation and brain structure. Moreover, DD is assumed to be a very heterogeneous disorder putting special challenges to define homogeneous diagnostic criteria. Finally, interdisciplinary perspectives from psychology, neuroscience and education can contribute to the design for interventions, and although results are still sparse, they are promising and have shown positive effects on behaviour as well as brain function. CONCLUSION: In the current review, we are going to give an overview about typical and atypical development of numerical abilities at the behavioural and neuronal level. Furthermore, current status and obstacles in the definition and diagnostics of DD are discussed, and finally, relevant points that should be considered to make an intervention as successful as possible are summarized.

Cognitive Strategies, Working Memory, and Growth in Word Problem Solving in Children With Math Difficulties.

This study investigated the role of strategy instruction and working memory capacity (WMC) on word problem solving accuracy in children with (n = 100) and without (n = 92) math difficulties (MD). Within classrooms, children in Grades 2 and 3 were randomly assigned to one of four treatment conditions: verbal-only strategies (e.g., underlining question sentence), verbal + visual strategies, visual-only strategies (e.g., correctly placing numbers in diagrams), or untreated control. Strategy interventions included 20 sessions in both Year 1 and Year 2. The intent-to-treat as well as the "as-treated" analyses showed that treatment effects were significantly moderated by WMC. In general, treatment outcomes were higher when WMC was set to a high rather than low level. When set to a relatively high WMC level, children with MD performed significantly better under visual-only strategy conditions and children without MD performed better under verbal + visual conditions when compared to control conditions.

A Synthesis of Peer-Mediated Academic Interventions for Secondary Struggling Learners.

A synthesis of the extant research on peer-mediated reading and math interventions for students in regular or alternative education settings with academic difficulties and disabilities in Grades 6 to 12 (ages 11-18) is presented. Interventions conducted between 2001 and 2012 targeting reading and math were included if they measured effects on at least one academic outcome measure. A total of 13 intervention studies were synthesized in which 10 studies employed an experimental or quasi-experimental design and three studies used a single-case design. Findings from the 13 studies revealed mostly moderate to high effects favoring peer mediation, particularly when implementing a peer-mediated feedback component. In addition, findings suggest such interventions have social validity among adolescents and teachers. More rigorous research on secondary peer-mediated math interventions, peer-mediated interventions in alternative settings, and effective ways to pair dyads to incorporate a structured feedback component is warranted. Implications for peer-mediated instruction for academically struggling adolescents are discussed.

[From brain imaging to good teaching? implicating from neuroscience for research on learning and instruction]. / Vom Hirnbild zum guten Unterricht. Implikationen von neuropsychologischen und Bildgebungsbefuden für die Lehr-Lern-Forschung.

Psychiatric disorders in childhood and adolescence, in particular attention deficit disorder or specific learning disorders like developmental dyslexia and developmental dyscalculia, affect academic performance and learning at school. Recent advances in neuroscientific research have incited an intensive debate both in the general public and in the field of educational and instructional science as well as to whether and to what extent these new findings in the field of neuroscience might be of importance for school-related learning and instruction. In this review, we first summarize neuroscientific findings related to the development of attention, working memory and executive functions in typically developing children and then evaluate their relevance for school-related learning. We present an overview of neuroimaging studies of specific learning disabilities such as developmental dyslexia and developmental dyscalculia, and critically discuss their practical implications for educational and teaching practice, teacher training, early diagnosis as well as prevention and disorder-specific therapy. We conclude that the new interdisciplinary field of neuroeducation cannot be expected to provide direct innovative educational applications (e.g., teaching methods). Rather, the future potential of neuroscience lies in creating a deeper understanding of the underlying cognitive mechanisms and pathomechanisms of learning processes and learning disorders.

Comparison of a math fact rehearsal and a mnemonic strategy approach for improving math fact fluency.

The current study used a randomized controlled trial to compare the effects of a practice-based intervention and a mnemonic strategy intervention on the retention and application of single-digit multiplication facts with 90 third- and fourth-grade students with math difficulties. Changes in retention and application were assessed separately using one-way ANCOVAs in which students' pretest scores were included as the covariate. Students in the practice-based intervention group had higher retention scores (expressed as the total number of digits correct per minute) relative to the control group. No statistically significant between-group differences were observed for application scores. Practical and theoretical implications for interventions targeting basic multiplication facts are discussed.

At the intersection of math and reading disabilities: introduction to the special issue.

Individuals with comorbid disabilities in mathematics and reading face significant challenges in acquiring the componential skills related to each domain. Persons with these comorbid conditions are significantly understudied and this paucity of work limits how effective practitioners can be at addressing the needs of this population. In the United States, roughly 7% of all children suffer from math disability; of these, an estimated 17% to 66% also has a comorbid reading disability. Underspecification of current conceptualizations of math and reading disabilities, including how to best identify and classify individuals with one or more of these disabilities, hampers our efforts to intervene effectively. To conceptualize how to move forward in these areas, the Eunice Kennedy Shriver National Institute of Child Health and Human Development held a workshop focused on examining the etiology, classification, and remediation of comorbid math and reading disabilities. This special issue, titled At the Intersection of Math and Reading Disabilities, continues that discussion. Contributing authors articulate a path forward to address the needs of these learners and inform the foundational understanding of both conditions in isolation and as they interact.

[Symptoms diagnosis and treatment of dyscalulia]. / Symptomatik, diagnostik und behandlung der rechenstörung..

Children with dyscalculia show deficits in basic numerical processing which cause difficulties in the acquisition of mathematical skills. This article provides an overview of current research findings regarding the symptoms, cause, and prognosis of dyscalculia, and it summarizes recent developments in the diagnosis, early intervention, and treatment thereof. Diagnosis has improved recently because newly developed tests focus not only on the math curriculum, but also on basic skills found to be impaired in dyscalculia. A controversial debate continues with regard to IQ achievement discrepancy. International studies have demonstrated the effectiveness of specialized interventions. This article summarizes the research findings from intervention studies, describes different treatment approaches, and discusses implications for clinical practice.

[Role of pediatricians in the diagnosis and therapy of dyslexia, dysgraphia and dyscalculia]. / A családorvosok szerepe a dyslexia, dysgraphia és dyscalculia diagnosztikájában és terápiájában.

Pediatricians play an important role in the diagnosis and therapy of children with dyslexia, dysgraphia or dyscalculia. These syndromes strongly affect children's school performance. Children with dyslexia, dysgraphia or dyscalculia show a significant underachievement in reading, writing or counting and their failure to meet the school requirements undermines their self confidence and positive self-concept. As a result, children with learning problems often become aggressive, frustrated or play the clown in the classroom. According to the Hungarian law children with any learning difficulties have the right to get special education by their specific symptoms. In the realisation of the law and equity the pediatrician's expertise is essential and has an important role in the therapeutical procedures. However, the pediatrician's role is more complex than writing an opinion. Pediatricians can help by giving a detailed description about these syndromes and explain them how they can help their child, what are the main difficulties during the child's studies, what kind of therapies can be efficient and how they can make their child's school years easier. During the assessment most of the parents ask the following questions: What does dyslexia, dyscalculia or dysgraphia exactly mean? Is it a handicap or a learning difficulty? Could the child live a normal life? With the proper answer and with an inclusive attitude pediatricians can help both the parents and the children to create a liveable lifestyle and make their children's schoolwork more successful. The authors' opinions are to close the medical and the pedagogical view, because without the cooperation of these two scientific fields, the theme affected parents, children and teachers cannot get proper help to find better solution and support for their problems. In the survey the authors intend to give a complex view about the symptoms of these syndromes and try to give useful advice for pediatricians how they can support their patients emphasizing the key role of pediatricians and clinical expertises in the early recognition and therapy.

[Changes in psychological stress after interventions in children and adolescents with mathematical learning disabilities]. / Veränderungen psychischer Belastung durch die Förderung von rechenschwachen Kindern und Jugendlichen.

OBJECTIVE: The present study examined the effects of the Waterglass Intervention Program on children with mathematical learning disabilities compared to dyscalculic children who received private tutoring. METHOD: In a pre-post-control group design, N = 46 children (age 7-12) and their parents were questioned about changes in test anxiety, school reluctance, anxiety disorder, and internal and external abnormality. RESULTS: Children who attended the Waterglass Intervention Program reported a higher reduction of test anxiety, school reluctance, and attention problems. A trend toward a higher reduction of the CBCL-score was also found. These changes were mediated by the changes in math school grades. Furthermore, results showed that more children showed internal disorders than would be expected. CONCLUSIONS: An intervention specific for children with mathematical learning disabilities has positive effects on the psychological stress level of these children. Further research is required to investigate the mechanisms related to these changes and the effects on mathematical achievement.

Intervention effects for students with comorbid forms of learning disability: understanding the needs of nonresponders.

In this article, we considered evidence from our intervention research programs on whether students with learning disability (LD) in reading and mathematics (comorbid LD) respond differently to intervention, compared to students with reading LD alone (RD) or to students with mathematics LD alone (MD). The goal was to gain insight into whether comorbid disorder represents an LD subtype distinct from RD or from MD, which requires differentiated forms of intervention. Our analysis suggested that students with comorbid LD respond differently than those with MD, depending on the nature of mathematics intervention, and may therefore represent a distinctive subtype. By contrast, students with RD appear to respond to intervention in similar ways, regardless of whether they experience RD alone or in combination with MD. Results also suggest that distinctions between comorbid and single-order LD may depend on whether LD is defined in terms of lower- versus higher-order academic skill. Recommendations for future study are provided.

The diagnosis and management of dyscalculia.

BACKGROUND: Dyscalculia is defined as difficulty acquiring basic arithmetic skills that is not explained by low intelligence or inadequate schooling. About 5% of children in primary schools are affected. Dyscalculia does not improve without treatment. METHODS: In this article, we selectively review publications on dyscalculia from multiple disciplines (medicine, psychology, neuroscience, education/special education). RESULTS: Many children and adolescents with dyscalculia have associated cognitive dysfunction (e.g., impairment of working memory and visuospatial skills), and 20% to 60% of those affected have comorbid disorders such as dyslexia or attention deficit disorder. The few interventional studies that have been published to date document the efficacy of pedagogic-therapeutic interventions directed toward specific problem areas. The treatment is tailored to the individual patient's cognitive functional profile and severity of manifestations. Psychotherapy and/or medication are sometimes necessary as well. CONCLUSION: The early identification and treatment of dyscalculia are very important in view of its frequent association with mental disorders. Sufferers need a thorough, neuropsychologically oriented diagnostic evaluation that takes account of the complexity of dyscalculia and its multiple phenotypes and can thus provide a basis for the planning of effective treatment.

The relation between space and math: developmental and educational implications.

There is a well-known relation between spatial ability and mathematics dating back to the work of early twentieth century factor analysts. This connection is a ripe opportunity for educators, who might use spatial training to improve math learning. However, a closer look at the literature reveals gaps that impede direct application. The primary problem is that although this relation is well established in older children and adults, its emergence in early development and subsequent developmental interactions are not well documented. Moreover, there is a need for more mechanistic explanations that might be leveraged to improve math education. In this chapter, we attempt to address these issues by reviewing the existing literature to identify instances where answers are available and others where further research is needed.