Whereas much is known about how we categorize and reason based on absolute quantity,
data exploring ratios of quantities, as in proportions and fractions, are comparatively sparse …

Multi-digit number processing is ubiquitous in our everyday life–even in school, multi-digit
numbers are computed from the first year onward. Yet, many problems children and adults …

Two experiments investigated the whole number bias in the representation of fraction
magnitudes with adults. A fraction magnitude comparison task was used where half of the …

When school students compare the numerical values of fractions, they have frequently been
found to be biased by the natural numbers involved (eg, to believe that 1/4> 1/3 because 4> …

We examined, on a trial-by-trial basis, fraction magnitude comparison strategies of adults
with more and less mathematical knowledge. College students with high mathematical …

The present study investigated the development of fraction comparison strategies through a
longitudinal analysis of children's responses to a fraction comparison task in 4th through 6th …

This study presents evidence that humans have intuitive, perceptually based access to the
abstract fraction magnitudes instantiated by nonsymbolic ratio stimuli. Moreover, it shows …

Many students' knowledge of fractions is adversely affected by whole number bias, the
tendency to focus on the separate whole number components (numerator and denominator) …

In this study we longitudinally followed 201 upper elementary school learners in the crucial
years of acquiring rational number understanding. Using latent transition analysis we …

Research suggests that people use a variety of strategies for comparing the numerical
values of two fractions. They use holistic strategies that rely on the fraction magnitudes …