For students to advance beyond arithmetic, they must learn how to attend to the structure of math notation. This process can be challenging due to students' left-to-right computing tendencies. Brackets are used in mathematics to indicate precedence but can also be used as superfluous cues and perceptual grouping mechanisms in instructional…

Arithmetic is commonly taught through timed practice and drill, yet little research exists to guide optimal practice structure. This study investigated the effects of distributed practice and time pressure on the acquisition and retention of arithmetic facts. Following a pretest, adult participants (n = 211) were randomly assigned to learn…

Many studies have used fraction magnitude comparison tasks to assess people's abilities to quickly assess fraction magnitudes. However, since there are multiple ways to compare fractions, it is not clear whether people actually reason about the holistic magnitudes of the fractions in this task and whether they use multiple strategies in a flexible…

Here, we assess whether quantity representations are influenced by the perceptual biases hypothesized to manifest in depressive individuals. In contrast to this clinical model, several prominent models of numerical cognition assume that quantity representations are abstract, and therefore are independent of the items that are being quantified. If…

What is the foundational knowledge that children rely on to provide meaning as they construct an exact symbolic number system? People and animals can quickly and accurately distinguish small exact quantities (i.e., 1 to 3). One possibility is that children's ability to map small quantities to spoken number words supports their developing exact…

Neuropsychological case-studies suggested that dates and encyclopedic numbers may be processed differently than unknown numbers. However, this issue was seldom investigated in healthy participants. Therefore, it is unclear whether known dates are read like words (as lexical items), or like numbers (each position strictly defines digits' values in…

In three experiments, we used a masked prime in a verification task to investigate the processing stages occurring during multiplication fact retrieval. We aimed to investigate the retrieval process by overlapping its execution with the processing of a masked prime consisting of a number. Participants evaluated the correctness of multiplication…

Algebraic thinking and strategy flexibility are essential to advanced mathematical thinking. Early algebra instruction uses 'missing-operand' problems (e.g., x - 7 = 2) solvable via two typical strategies: (1) direct retrieval of arithmetic facts (e.g., 9 - 7 = 2) and (2) performance of the inverse operation (e.g., 2 + 7 = 9). The current study…

Small but robust differences in cognition exist between the sexes in adult populations. Studying sex differences in children's cognition can bring insight into when, where and how these differences might emerge in development. Here, we focus on differences in working memory because of its importance in underpinning a wide range of complex…

Children with ADHD show deficits in executive functioning, especially the ability to inhibit inadequate responses, and deficits in motivational processes due to dopaminergic dysfunctions. There is evidence that rewards can foster inhibition in children with ADHD. However, most studies examined a wide age range of children above 7 years of age, so…

Inhibitory control is a core executive function that develops during childhood and is measured with tasks that require the inhibition of a dominant response. The current study examined the diagnostic value of using response accuracy and latency in a simple inhibitory control test, the computerized Pointing-Stroop Task (cPST), for kindergarten…

Numerous studies suggest that by elementary school, children have implicit and explicit gender stereotypes about the toys, activities, roles, and abilities associated with boys vs. girls. Furthermore, these stereotypes have been shown to affect children's goals and behaviors, leading them to pursue activities that are associated with their own…

There are two lines of discussion regarding the function of the Approximate Number System (ANS). The first line focuses on the extent to which visual cues affect the estimation of numerosity. The second line investigates the extent to which ANS precision is associated with symbolic math performance. The current study combined these two lines of…

The present study had two aims. First, we set out to evaluate the structure of processing speed in children by comparing five alternative models: two conceptual models (a unitary model, a complexity model) and three methodological models (a stimulus material model, an output response model, and a timing modality model). Second, we then used the…

Previous studies have suggested that there is a left-to-right mental number line, which is based on individuals responding faster when a smaller magnitude is presented on the left visual field and a larger magnitude is presented on the right visual field. This study examined whether the Spatial-Numerical Associations could influence individuals'…