Conceptual foundations of early numeracy: Evidence from infant brain data.

Understanding the conceptual resources that children bring to mathematics learning is crucial for developing effective instruction and interventions. Despite the considerable number of studies examining the neural underpinnings of number representations in adults and the growing number of reports in children, very few studies have examined the neural correlates of the link between foundational resources related to numerical information and symbolic number representations in infants. There is currently an active debate about which foundational resources are critical for symbolic mathematics. Is early numerical discrimination best explained by a holistic and generalized sense of magnitude rather than a number sense? Does early number sense provide the conceptual basis for mapping numerical symbols to their meaning? Are foundational number systems marginal while children learn to count and perform symbolic arithmetic, and only later children map non symbolic representations of numerical magnitudes onto symbols? After describing the mainstream theories of numerical cognition and the sources of controversy, we review recent studies of the neural bases of human infants' numerical performance with the aim of clarifying the link between early conceptual resources and symbolic number systems as children's mathematical minds develop.

Anatomical connectivity in children with developmental dyscalculia: A graph theory study.

Current theories postulate that numerical processing depends upon a brain circuit formed by regions and their connections; specialized in the representation and manipulation of the numerical properties of stimuli. It has been suggested that the damage of these network may cause Developmental Dyscalculia (DD): a persistent neurodevelopmental disorder that significantly interferes with academic performance and daily life activities that require mastery of mathematical notions and operations. However, most of the studies on the brain foundations of DD have focused on regions of interest associated with numerical processing, and have not addressed numerical cognition as a complex network phenomenon. The present study explored DD using a Graph Theory network approach. We studied the association between topological measures of integration and segregation of information processing in the brain proposed by Graph Theory; and individual variability in numerical performance in a group of 11 school-aged children with DD (5 of which presented with comorbidity with Developmental Dyslexia, the specific learning disorder for reading) and 17 typically developing peers. A statistically significant correlation was found between the Weber fraction (a measure of numerical representations' precision) and the Clustering Index (a measure of segregation of information processing) in the whole sample. The DD group showed significantly lower Characteristic Path Length (average shortest path length among all pairs of regions in the brain network) compared to controls. Also, differences in critical regions for the brain network performance (hubs) were found between groups. The presence of limbic hubs characterized the DD brain network while right Temporal and Frontal hubs found in controls were absent in the DD group. Our results suggest that the DD may be associated with alterations in anatomical brain connectivity that hinder the capacity to integrate and segregate numerical information.

Influencia familiar en el desarrollo de habilidades para el procesamiento numérico en niños preescolares / Family influence on the development of number processing skills in preschool children / Influência da família no desenvolvimento de habilidades de processamento numérico em crianças pré-escolares

RESUMEN Introducción: La competencia en matemáticas se encuentra relacionada con el desarrollo de habilidades básicas para el procesamiento numérico (simbólico y no simbólico) desde etapas tempranas del desarrollo y antes de la escolarización formal. Existe evidencia a favor de que el ambiente del hogar proporciona experiencias que facilitan la adquisición de habilidades específicas relacionadas con las matemáticas. Objetivo: Identificar actividades y estilos de relación presentes en el marco familiar que son buenos predictores del procesamiento numérico y el rendimiento aritmético de niños preescolares cubanos. Método: Entre septiembre y noviembre de 2019 se evaluaron 82 preescolares cubanos y sus padres a través de un estudio no experimental de tipo transeccional, con un carácter descriptivo-correlacional. Los instrumentos utilizados fueron el Numeracy Screener y Cuestionario para Padres, ambos adaptados al contexto cubano en el Centro de Neurociencias de Cuba. Resultados: El desarrollo de habilidades específicas para el procesamiento numérico básico, en formato simbólico y no simbólico, predijo de forma significativa el rendimiento matemático en la muestra estudiada. Se confirmó que la presencia en el marco familiar de estilos de relación y actividades que incluyen contenido numérico y cuantitativo, favorece el desarrollo de habilidades para el procesamiento numérico en los niños preescolares. Conclusiones: Entre los factores más significativos se encontraron: escolaridad de los padres, sus experiencias y actitudes hacia las matemáticas y la frecuencia con que comparten prácticas formales numéricas con sus hijos en el hogar.

ABSTRACT Introduction: Competence in mathematics is related to the development of basic skills for number processing (symbolic and non-symbolic) from early stages of development and before formal schooling. There is evidence that the home environment provides experiences that facilitate the acquisition of specific math-related skills. Objective: To identify activities and relationship styles present in the family setting that are good predictors of numerical processing and arithmetic performance in Cuban preschool children. Method: Between September and November 2019, 82 Cuban preschoolers and their parents were evaluated through a non-experimental transactional study, with a descriptive-correlational nature. The instruments used were the Numeracy Screener and Parent Questionnaire, both adapted to the Cuban context at the Centro de Neurociencias de Cuba. Results: The development of specific skills for basic numerical processing, in symbolic and non-symbolic format, significantly predicted mathematical performance in the sample studied. It was confirmed that the presence in the family of relationship styles and activities that include numerical and quantitative content favors the development of numerical processing skills in preschool children. Conclusions: Among the most significant factors found were: parental education, their experiences and attitudes towards mathematics and the frequency with which they share formal numerical practices with their children at home.

RESUMO Introdução: A competência em matemática está relacionada ao desenvolvimento de habilidades básicas para processamento de números (simbólicos e não simbólicos) desde as fases iniciais do desenvolvimento e antes da escolarização formal. Há evidências de que o ambiente domiciliar proporciona experiências que facilitam a aquisição de habilidades específicas relacionadas à matemática. Objetivo: Identificar atividades e estilos de relacionamento presentes no ambiente familiar que sejam bons preditores de processamento numérico e desempenho aritmético em crianças pré-escolares cubanas. Método: Entre setembro e novembro de 2019, 82 pré-escolares cubanos e seus pais foram avaliados por meio de um estudo transacional não experimental, de natureza descritivo-correlacional. Os instrumentos utilizados foram o Numeracy Screener e o Parent Questionnaire, ambos adaptados ao contexto cubano no Centro de Neurociencias de Cuba. Resultados: O desenvolvimento de habilidades específicas para processamento numérico básico, em formato simbólico e não simbólico, predisse significativamente o desempenho matemático na amostra estudada. Confirmou-se que a presença na família de estilos de relacionamento e atividades que incluem conteúdos numéricos e quantitativos favorece o desenvolvimento de habilidades de processamento numérico em crianças pré-escolares. Conclusiones: Entre os fatores mais significativos foram encontrados: a educação dos pais, suas experiências e atitudes em relação à matemática e a frequência com que compartilham práticas numéricas formais com seus filhos em casa.

Intervención neuropsicológica sobre entrenamiento de memoria de trabajo con videojuego "Recuérdalo Todo" / Neuropsychological intervention on working memory training with the video game "Recuérdalo Todo" / Intervenção neuropsicológica no treino da memória de trabalho com o videojogo "Recuérdalo Todo"

RESUMEN Introducción: La intervención desde un enfoque neuropsicológico permite conseguir mejoras, aportar estrategias y proponer cambios que impactan el aprendizaje y la salud cognitiva de los participantes. El empleo de videojuegos muestra mejoras en habilidades de dominio general como la memoria de trabajo y de dominio específico como el rendimiento. Objetivo: Determinar el efecto del entrenamiento de memoria de trabajo a través del videojuego "Recuérdalo Todo" en el rendimiento académico (matemático y lector), en niños de preescolar y segundo grado. Método: Se realizó un estudio cuasi-experimental en La Habana, Cuba, durante el curso 2018-2019. Participaron 29 niños de preescolar (14 niñas) y 27 niños de segundo grado (8 niñas) que fueron asignados aleatoriamente a un grupo experimental (recibe entrenamiento con el videojuego) y un grupo control (no recibe el entrenamiento hasta no concluir los pos-test). Fueron evaluados antes y después del entrenamiento con pruebas de procesos de dominio general y rendimiento académico. Resultados: El entrenamiento tuvo una influencia positiva en los procesos de dominio general más que en el rendimiento académico. El tamaño del efecto de intervención en los procesos de dominio general fue medio, lo cual avaló la efectividad. Conclusiones: "Recuérdalo todo" tiene un efecto favorable sobre procesos de dominio general y sobre procesos predictores de la adquisición de la lectura en preescolares, así como en el procesamiento numérico en niños de segundo grado. Esta intervención sobre memoria de trabajo aporta herramientas que pueden contribuir a la preparación de los maestros para optimizar el aprendizaje de los escolares, lo que tiene un impacto en su salud cognitiva.

ABSTRACT Introduction: Intervention method, from a neuropsychological point of view, helps for increasing, giving strategies, and to propose impact changing in learning process and cognitive health of participants. The uses of video games have demonstrated improvements in domain-general skills such as working memory and domain-specific skills as the performance. Objective: Determine the effect of working memory training through the video game "Recuérdalo Todo" on academic performance (mathematics and reading) in Pre-kindergarten and second grade children. Methods: A quasi-experimental study was conducted during the academic year 2018-2019 in Havana, Cuba. A total of 29 pre-kindergarten children (among them 14 girls) and 27 second graders (including 8 girls) were involved. They were randomly assigned to two groups, an experimental group which received the working memory training sessions through the video game "Recuérdalo Todo") and a control group which not received the training sessions during that period, but after the post-tests were concluded. They were evaluated before and after training with tests of domain-general processes and academic performance. Results: The training had a positive influence on domain-general processes rather than on academic performance. The effect of this intervention on domain-general processes was medium, which supported its effectiveness. Conclusions: The video game "Recuérdalo Todo" has a favorable effect on domain - general processes of reading in pre-kindergarten children, as well as in the numerical processing for children of second grade. This working memory intervention provides tools that can contribute to the preparation of teachers in order to optimize the schoolchildren learning process with an impact on their cognitive health.

RESUMO Introdução: A intervenção a partir de uma abordagem neuropsicológica permite alcançar melhorias, fornecer estratégias e propor mudanças que impactam na aprendizagem e na saúde cognitiva dos participantes. O uso de videogames mostra melhorias em habilidades de domínio geral, como memória de trabalho, e habilidades de domínio específico, como desempenho. Objetivo: Determinar o efeito do treinamento da memória de trabalho por meio do videogame "Recuérdalo Todo" no desempenho acadêmico (matemático e leitura), em crianças da pré-escola e da segunda série. Método: Um estudo quase experimental foi realizado em Havana, Cuba, durante o ano letivo 2018-2019. Os participantes foram 29 crianças pré-escolares (14 meninas) e 27 crianças da segunda série (8 meninas) que foram aleatoriamente designadas para um grupo experimental (recebe treinamento com o videogame) e um grupo controle (não recebe treinamento até que os pós-testes sejam concluídos). Eles foram avaliados antes e após o treinamento com testes de processos de domínio geral e desempenho acadêmico. Resultados: O treinamento influenciou positivamente nos processos de domínio geral mais do que no desempenho acadêmico. O tamanho do efeito da intervenção nos processos de domínio geral foi médio, o que apoiou a eficácia. Conclusões: "Recuérdalo Todo" tem um efeito favorável nos processos de domínio geral e nos processos preditivos de aquisição de leitura em pré-escolares, bem como no processamento numérico em crianças do segundo ano. Esta intervenção na memória de trabalho fornece ferramentas que podem contribuir para a preparação dos professores para otimizar a aprendizagem dos escolares, o que tem impacto na sua saúde cognitiva.

Contribution of Attentional Networks to Basic Arithmetic Achievement in School-age Children / Contribución de las redes atencionales al rendimiento en aritmética básica en niños de edad escolar

Nowadays, there is still debate about the origin of arithmetic disabilities. Two predominant hypotheses have been developed in this regard: 1) difficulties in arithmetic appear due to a deficit in domain-specific skills (numerical skills) and 2) there is a strong relationship between the development of the domain-general processes and arithmetical skills. In this study we explore the specific contribution of orienting and executive control attentional networks to individual variability in basic mental arithmetic. Participants were elementary school children, from second to third grade, with and without difficulties in basic mental arithmetic. Results provide support for the two proposed hypotheses. Children with difficulties in arithmetic showed difficulties both in numerical skills and in attentional networks. These findings suggest that arithmetic difficulties may be associated with a heterogeneous combination of deficits, including difficulties in attentional functioning.

En la actualidad existe aún debate sobre el origen de las dificultades en aritmética. Se han desarrollado dos hipótesis predominantes al respecto: 1) las dificultades en aritmética aparecen por un déficit en las capacidades de dominio específico (capacidades numéricas) y 2) hay una estrecha relación entre el desarrollo de los procesos de dominio general y las habilidades aritméticas. En este estudio se explora la contribución específica de las redes de atención ejecutiva y orientación atencional a la explicación de la varianza en aritmética básica. Participaron niños de segundo y tercer grado de primaria, con y sin dificultades en aritmética básica. Nuestros resultados ofrecen sustento a las dos hipótesis propuestas, ya que los niños con dificultades en aritmética mostraron dificultades tanto en las capacidades numéricas como en las redes atencionales. Estos hallazgos sugieren que las dificultades en aritmética pudieran estar asociadas a una combinación heterogénea de déficits, incluyendo dificultades en el funcionamiento atencional.

Next Directions in Measurement of the Home Mathematics Environment: An International and Interdisciplinary Perspective.

This article synthesizes findings from an international virtual conference, funded by the National Science Foundation (NSF), focused on the home mathematics environment (HME). In light of inconsistencies and gaps in research investigating relations between the HME and children's outcomes, the purpose of the conference was to discuss actionable steps and considerations for future work. The conference was composed of international researchers with a wide range of expertise and backgrounds. Presentations and discussions during the conference centered broadly on the need to better operationalize and measure the HME as a construct - focusing on issues related to child, family, and community factors, country and cultural factors, and the cognitive and affective characteristics of caregivers and children. Results of the conference and a subsequent writing workshop include a synthesis of core questions and key considerations for the field of research on the HME. Findings highlight the need for the field at large to use multi-method measurement approaches to capture nuances in the HME, and to do so with increased international and interdisciplinary collaboration, open science practices, and communication among scholars.

Numerical processing profiles in children with varying degrees of arithmetical achievement.

Recent studies show basic cognitive abilities such as the rapid and precise apprehension of small numerosities in object sets ("subitizing"), verbal counting and numerical magnitude comparison significantly influence the acquisition of arithmetic and continues to modulate more advanced stages of mathematical cognition. Additionally, children with low arithmetic achievement (LAA) and Developmental Dyscalculia (DD) exhibit significant deficits in these cognitive processes. Nevertheless, the different cognitive profiles of children with varying degrees of numerical and arithmetic processing deficits have not been sufficiently characterized, despite its potential relevance to the stimulation of numerical cognition and the design of appropriate intervention strategies. Here, the cognitive profiles of groups of typically developing children, children with low arithmetical achievement and DD, exhibiting typical and atypical subitizing ability were contrasted. The results suggest that relatively independent neurocognitive mechanisms may produce distinct profiles at the behavioral level and suggest children with low arithmetic performance exhibiting atypical subitizing abilities are not only significantly slower, but rely on compensatory mechanisms and strategies compared to typical subitizers. The role of subitizing as a correlate of arithmetic fluency is revised in the light of the present findings.

Mathematical skills in children with pilocytic astrocytoma.

BACKGROUND: Pediatric patients with circumscribed cerebellar pilocytic astrocytoma (PA) tumors generally perform within the normal range on neuropsychological tests after a complete tumor resection. The outcome in academically relevant abilities such as mathematics, which in adults involve some cerebellar functions, is however much less understood. The aim of this study is to retrospectively investigate the neuroplasticity of mathematical skills and associated cognitive functions following cerebellar resection of PA in pediatric patients. METHODS: Twenty-two children (mean age = 11.2 + 1.8), including 11 PA patients (females = 6) and 11 healthy controls (females = 6), were administered a battery of mathematical (MaT) and neuropsychological tests. Single-case statistical analyses were carried out (Crawford's t) as well as between-group comparisons (Wilcoxon test). Spearman correlations between MaT and neuropsychological tests were calculated. RESULTS: Thirty-six percent of the patients showed difficulties in some mathematical tasks, 50% of them within a broader cognitive deficit. Verbal working memory was associated with MaT performance both in patients and controls while, crucially, visuospatial memory, and visual-motor integration were associated with MaT in patients only. Among patients, MaT correlated negatively with tumor size and positively with the interval surgery test. CONCLUSIONS: The results evince an overall recovery of mathematical abilities despite PA in the majority of patients. This functional reestablishment is supported by visuospatial and visuomotor integration functions that contribute to set up emerging mathematical skills in these patients. Higher levels of compensation are found in more developed tumors as compared to smaller ones.

Neurocognitive profiles of learning disabled children with neurofibromatosis type 1.

Neurofibromatosis 1 (NF1) is a genetic condition generally associated with intellectual deficiency and learning disabilities. Although there have been groundbreaking advances in the understanding of the molecular, cellular, and neural systems underlying learning deficits associated to NF1 in animal models, much remains to be learned about the spectrum of neurocognitive phenotype associated with the NF1 clinical syndrome. In the present study, 32 children with NF1 ranging from 7 to 14 years were evaluated with neurocognitive tests dedicated to assess basic capacities which are involved in reading and mathematical achievement. Deficits in lexical and phonological strategies and poor number facts retrieval were found underlying reading and arithmetic disorders, respectively. Additionally, efficiencies in lexical/phonological strategies and mental arithmetic were significant predictors of individual differences in reading attainment and math. However, deficits in core numeric capacities were not found in the sample, suggesting that it is not responsible for calculation dysfluency. The estimated prevalence of Developmental Dyscalculia was 18.8%, and the male:female ratio was 5:1. On the other hand, the prevalence of Developmental Dyslexia was almost 3 times as high (50%), and no gender differences were found (male: female ratio = 1:1). This study offers new evidence to the neurocognitive phenotype of NF1 contributing to an in depth understanding of this condition, but also to possible treatments for the cognitive deficits associated with NF1.

Typical development of quantity comparison in school-aged children.

Although basic numerical skills have been widely studied in the last years, very few studies have undertaken a developmental approach. The present study evaluated the development of the magnitude comparison basic numerical ability, in children from first, third and sixth grades by means of the subject's response time in numerical tasks presented in symbolic and non-symbolic formats. The results showed a significant decrease on quantities processing speed as age increases, which suggests numerical skills tend to become automatic with instruction. The differences found, concerning the general achievement pattern in each school year, might express the maturational specificities of the numerical representation system through development.

Typical development of quantity comparison in school-aged

Although basic numerical skills have been widely studied in the last years, very few studies have undertaken a developmental approach. The present study evaluated the development of the magnitude comparison basic numerical ability, in children from first, third and sixth grades by means of the subject’s response time in numerical tasks presented in symbolic and non-symbolic formats. The results showed a significant decrease on quantities processing speed as age increases, which suggests numerical skills tend to become automatic with instruction. The differences found, concerning the general achievement pattern in each school year, might express the maturational specificities of the numerical representation system through development (AU)

Aunque las capacidades numéricas básicas han sido ampliamente investigadas en los últimos años, muy pocos estudios han tenido en cuenta una perspectiva del desarrollo de las mismas. En este estudio se evaluó el desarrollo de la capacidad numérica básica de comparación de cantidades en escolares de primero, tercero y sexto grados, a través del análisis del tiempo de reacción de los sujetos en tareas numéricas presentadas en formatos simbólico y no simbólico. Los resultados mostraron una disminución significativa en la velocidad de procesamiento de las cantidades con el incremento de la edad, lo cual apunta a una automatización de las habilidades numéricas con el aumento del nivel escolar. Las diferencias encontradas en el patrón de rendimiento general en cada grado escolar podrían expresar las particularidades de la maduración del sistema de representación numérica en las diferentes etapas del desarrollo (AU)

Bases Biológicas de la Discalculia del desarrollo / Biological basis of Growth dyscalculia

El Trastorno Específico en el Aprendizaje de las Matemáticas o Discalculia del Desarrollo (DD) es un déficit severo, persistente y selectivo en el rendimiento aritmético. Aunque no han sido identificados genes responsables de este trastorno, varias investigaciones realizadas en muestras de sujetos con síndromes genéticos que presentan DD como parte de su perfil cognitivo, han reportado anomalías estructurales y funcionales en el cerebro de los mismos. En este artículo se presenta una revisión de las principales evidencias provenientes de estudios con síndromes genéticos que apoyan la determinación biológica de la Discalculia del Desarrollo…(AU)