Individual differences in mathematical competence modulate brain responses to arithmetic errors: An fMRI study

Data from both neuropsychological and neuroimaging studies have implicated the left inferior parietal cortex in calculation. Comparatively less attention has been paid to the neural responses associated with the commission of calculation errors and how the processing of arithmetic errors is modulated by individual differences in mathematical competence. Do more competent individuals exhibit a different brain response to errors than less mathematically able individuals? These outstanding questions were addressed in the present functional Magnetic Resonance Imaging (fMRI) study through an investigation of which brain regions respond more to erroneously versus correctly solved arithmetic problems while a group of 24 adult participants with varying levels of mathematical competence solved problems of all four arithmetic operations. Despite high levels of accuracy, a robust main effect of accuracy (incorrect vs. correct) was observed in both medial and lateral regions of the prefrontal cortex. These regions have frequently been associated with both the detection of errors and the deployment of cognitive control following an error. Furthermore, mathematical competence was found to modulate the activation of an area in the right dorsolateral prefrontal cortex. Specifically, individuals with relatively higher mathematical competence (n = 12) were found to activate this region more for incorrectly solved trials than their less mathematically competent peers (n = 12). Taken together, these findings suggest that the commission of arithmetic errors modulates responses of prefrontal regions and, moreover, that activation of the right lateral prefrontal cortex during arithmetic errors is affected by individual differences in mathematical competence. In view of the evidence associating the lateral prefrontal cortex with the implementation of cognitive control, we suggest that individuals with relatively high mathematical competence may exhibit greater awareness of calculation mistakes and implement greater control following the commission of errors.     

Let's Talk About Maths: The Role of Observed “Maths‐Talk” and Maths Provisions in Preschoolers' Numeracy

Developmental cognitive neuroscience highlights the importance of interactions between children and their environment. As young children spend increasing time in childcare, it is key to investigate the impact of “maths‐talk” and maths provisions in preschools. Qualitative insights from early educators indicate a greater bias toward counting activities than would be expected given the Early Years curriculum. In addition, we quantified the observed breadth of preschool practitioners' maths language (e.g., place‐value language), setting‐based maths provisions (e.g., quality of maths‐related activities), and their relation with children's early numeracy skills. In settings with greater practitioners' breadth of maths language, children display greater cardinality skills although our data call for the further investigation of parental socioeconomic status and education. We conclude with a discussion on the need to operationalize children's maths learning environments as diversely as possible. Enriching practitioners' skill sets may be an effective and needed way of improving early maths outcomes.     

Understanding divergent domestication traits from the whole-genome sequencing of swamp- and river-buffalo populations

Domesticated buffaloes have been integral to rice-paddy agro-ecosystems for millennia, yet relatively little is known about the buffalo genomics. Here, we sequenced and assembled reference genomes for both swamp and river buffaloes and we re-sequenced 230 individuals (132 swamp buffaloes and 98 river buffaloes) sampled from across Asia and Europe. Beyond the many actionable insights that our study revealed about the domestication, basic physiology and breeding of buffalo, we made the striking discovery that the divergent domestication traits between swamp and river buffaloes can be explained with recent selections of genes on social behavior, digestion metabolism, strengths and milk production.     

A case study of a college-wide first-year undergraduate engineering course

Introductory engineering courses are either programme specific or expose students to engineering as a broad discipline by including materials from various engineering programmes. A common introductory engineering course that spans different engineering programmes raises challenges, including the high cost of resources as well as the lack of background courses of first-year students. This paper presents the design, implementation and evaluation of a first-year common engineering course that uses low-cost materials to expose students to a structured engineering design process. The course is explicitly designed to satisfy the Accreditation Board for Engineering and Technology criteria for engineering programmes. Our experience with the course shows that not only students are able to follow a structured design process successfully but we also believe that most of the ABET criteria are being delivered through the course.     

Robust stabilization of uncertain 2-D discrete-time delayed systems using sliding mode control

This paper aims to solve the problem of sliding mode control for an uncertain two-dimensional (2-D) systems with states having time-varying delays. The uncertainties in the system dynamics are constituted of mismatched uncertain parameters and the unknown nonlinear bounded function. The proposed problem utilizes the model transformation approach. By segregating the proper Lyapunov–Krasovskii functional in concert with the improved version of Wirtinger-based summation inequality, sufficient solvability conditions for the existence of linear switching surfaces have been put forward, which ensure the asymptotical stability of the reduced-order equivalent sliding mode dynamics. Then, we solve the controller synthesis problem by extending the recently proposed reaching law to 2-D systems, whose proportional part is appropriately scaled by the factor that does not depend on some constant terms but rather on current switching surface’s value, which in turn ensures the faster convergence and better robustness against uncertainties. Finally, the proposed results have been validated through an implementation to a suitable physical system.     

Identifying Children with Persistent Developmental Dyscalculia from a 2‐min Test of Symbolic and Nonsymbolic Numerical Magnitude Processing

Developmental dyscalculia (DD) is a mathematical learning disability that occurs in around 5%–7% of the population. At present, there are only a handful of screening tools to identify children that might be at risk of developing DD. The present study evaluated the classification accuracy of one such tool: The Numeracy Screener, a 2‐min test of symbolic (Arabic numerals) and nonsymbolic (dot arrays) discrimination ability. A sample of 222 children who demonstrated persistent deficits (n = 55), inconsistent deficits (n = 51), or typical performance (n = 116) on standardized tests of math achievement over multiple observations was tested. The Numeracy Screener correctly classified children in all three groups. Notably, the symbolic condition has greater sensitivity in discriminating children with persistent DD from the other two groups. Screening tools that assess early numeracy skills may be promising for identifying children at risk for developing severe mathematical difficulties.     

Physicochemical characteristics of various milk samples available in Pakistan

We report physicochemical characteristics of various kinds of liquid milk commercially available in Pakistan in comparison with those of fresh natural milk from animals. Milk samples were collected from local markets at Peshawar, Pakistan,and analyzed for their physical features, including moisture, total solids, specific gravity, conductivity, viscosity and titratable acidity (lactic acid equivalent), and chemical components and macro-minerals, including total protein, casein, lactose, ash and minerals (Na, K and Mg). These items were compared with the physicochemical characteristics of the fresh natural milk samples from buffalo, cow and goat. The results were also compared with reported nutritional quality of milk from various countries and World Health Organization (WHO) standards. We found that all the physical features and chemical components of commercially available milk in Pakistan markets meet WHO's requirements, except for Na, K, Ca and Mg, which are below the standards.     

School Absenteeism through the Transition to Kindergarten

ABSTRACT

Using nationally representative data from the Family and Child Experiences Survey 2009 Cohort (n = 2,798), this study examined patterns of absenteeism and their consequences through the transition to kindergarten. Overall, children were less likely to be absent in kindergarten than from Head Start at ages 3 and 4. Absenteeism was fairly stable across these early years, but children who experienced two years of Head Start were less likely to be absent in kindergarten than their classmates who only attended the program for one year. Ultimately, absenteeism at both ages 3 and 4 was associated with lower math and literacy achievement. However, children who experienced two years of Head Start and were more frequently absent demonstrated greater language development through the end of kindergarten as compared with children who only attended the program for one year. Policy implications are discussed in light of the complexity of early childhood education attendance in the United States.     

Classroom age composition and the early learning of preschoolers

Data from 1,407 preschoolers were used to examine the implications of classroom age composition for the early learning and development of 4-year-olds in classrooms with 3- and 5-year-olds also in attendance. Results suggest that a greater number of younger classmates did not detract from 4-year-olds’ language development, literacy performance, or inhibitory control, nor did having older peers consistently facilitate learning in these domains. However, 4-year-olds who entered school with low inhibitory control and print knowledge demonstrated greater gains in both domains when attending classrooms with more same-age or older classmates than when in classrooms with more younger peers. When taken together, these results suggest that classroom age composition, in prekindergarten programs serving mostly 4-year-olds, for the most part has little consequence except for those 4-year-olds entering school with lower skill levels in key domains, in which case having older peers is of benefit.     

Building Mind, Brain, and Education Connections: The View From the Upper Valley

ABSTRACT— This article describes the efforts of a small group of educators and researchers to build a model for making connections across mind, brain, and education. With a common goal of sharing, strengthening, and building useable knowledge about child and adolescent learning and development, we focused on questions of mutual interest to educators and researchers. We describe our efforts to develop a common vocabulary and language and to create opportunities for dialogue and discussion, including classes and talks for in-service and preservice teachers, research laboratories open to in-service and preservice teachers, local conferences that provided a context for educator and researcher interactions, and researcher outreach in the local education community at the administrative, classroom, and student levels. These activities represent concrete mechanisms by which links might be forged between educators and researchers within the context of Mind, Brain, and Education.