In this article, we review the brain and cognitive processes underlying the development of arithmetic skills. This review focuses primarily on the development of arithmetic skills in children, but it also summarizes relevant findings from adults for which a larger body of research currently exists. We integrate relevant findings and theories from experimental psychology and cognitive neuroscience. We describe the functional neuroanatomy of cognitive processes that influence and facilitate arithmetic skill development, including calculation, retrieval, strategy use, decision making, as well as working memory and attention. Building on recent findings from functional brain imaging studies, we describe the role of distributed brain regions in the development of mathematical skills. We highlight neurodevelopmental models that go beyond the parietal cortex role in basic number processing, in favor of multiple neural systems and pathways involved in mathematical information processing. From this viewpoint, we outline areas for future study that may help to bridge the gap between the cognitive neuroscience of arithmetic skill development and educational practice.
Aims and scopeMathematical skills are arguably one of the most important cognitive abilities that a child must master. What are the changes that occur in the brain as children begin to develop more complex and quantitative ways of thinking? Why do children show marked individual differences in mathematical abilities, and what factors contribute to these differences? These questions have fueled the work of developmental and education psychologists for decades (Dowker, 2005;Geary, 1994;Geary, Hoard, & Royer, 2002;Siegler, 1998;Siegler & Stern, 1998). Now, with advancements in quantitative brain imaging and the use of targeted cognitive experiments, we are uniquely positioned to answer these questions.Arithmetic skills build on a core number knowledge system, for representing numerical quantity using abstract symbols, which is typically in place by the age of 5 years (Barth, La Mont, Lipton, & Spelke, 2005). Neural mechanisms underlying the development of these core numerical systems are reviewed elsewhere (Ansari, 2008); here, we focus on the development of brain systems involved in arithmetic. The approach taken here is to highlight major findings related to key component processes involved in arithmetic problem solving and reasoning. We first review core cognitive and brain processes involved in arithmetic processing and discuss the implications of relevant studies in adults for understanding the neural basis of arithmetic skill development. Recent studies have focused on various aspects of arithmetic processing, including (1) retrieval, (2)
NIH-PA Author ManuscriptNIH-PA Author Manuscript NIH-PA Author Manuscript reasoning and decision making about arithmetic relations, and (4) resolving interference between multiple competing solutions (interference resolution). They help to clarify which brain areas are critically and consistently engaged during ar...