New perspectives on executive functions propose a greater involvement of context. These
perspectives have implications for research in mathematical cognition. We tackle the …

Humans perceptually extract quantity information from our environments, be it from simple
stimuli in isolation, or from relational magnitudes formed by taking ratios of pairs of simple …

The relationship between executive functions (EF) and academic achievement is well-
established, but leveraging this insight to improve educational outcomes remains elusive …

Background Prior research with adults and children suggests that inhibitory control may
have a role to play in learning counterintuitive fractions and decimals that are inconsistent …

Understanding fractions and decimals requires not only understanding each notation
separately, or within-notation knowledge, but also understanding relations between …

In this paper, we present parts of an online qualitative research project which lasted a whole
semester about the understanding of real numbers by sixty first-year Greek mathematics …

Rational numbers, such as fractions, decimals, and percentages, are a persistent challenge
in the mathematics curriculum. An underappreciated source of rational number difficulties …

Research on how humans understand the relative magnitude of symbolic fractions presents
a unique case of the symbol-grounding problem with numbers. Specifically, how do people …

To understand misconceptions with rational numbers (ie, fractions, decimals, and
percentages), we administered an assessment of rational numbers to 331 undergraduate …

Decimal numbers are generally assumed to be a straightforward extension of the base-ten
system for whole numbers given their shared place value structure. However, in decimal …