In this review, we are pitting two theories against each other: the more accepted theory, the
number sense theory, suggesting that a sense of number is innate and non-symbolic …

Fraction and decimal arithmetic are crucial for later mathematics achievement and for ability
to succeed in many professions. Unfortunately, these capabilities pose large difficulties for …

The integrated theory of numerical development posits that a central theme of numerical
development from infancy to adulthood is progressive broadening of the types and ranges of …

Understanding of numerical development is growing rapidly, but the volume and diversity of
findings can make it difficult to perceive any coherence in the process. The integrative theory …

In this review, we attempt to integrate two crucial aspects of numerical development:
learning the magnitudes of individual numbers and learning arithmetic. Numerical …

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 …

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 …

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

There are many continuous quantitative dimensions in the physical world. Philosophical,
psychological, and neural work has focused mostly on space and number. However, there …

This study reports an experiment conducted to examine auditors' materiality judgments for
nonfinancial performance information (NFPI) in the context of Integrated Reporting; a setting …