Many studies have investigated the association between numerical magnitude processing
skills, as assessed by the numerical magnitude comparison task, and broader mathematical …

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 …

Recent research on fractions has broadened and deepened theories of numerical
development. Learning about fractions requires children to recognize that many properties …

Instructional design research promotes interactive and adaptive scaffolds as features of
educational technology. Mathematics education research can guide elaborated fractions …

Numerical understanding and arithmetic skills are easier to acquire for whole numbers than
fractions. The integrated theory of numerical development posits that, in addition to these …

An understanding of fractions eludes many US students, and research-based knowledge
about fractions, such as the utility of linear representation, has not broadly influenced …

Children's ability to place fractions on a number line strongly correlates with math
achievement. But does the number line play a causal role in fraction learning or does it …

Abstract Knowledge of fractions is thought to be crucial for success with algebra, but
empirical evidence supporting this conjecture is just beginning to emerge. In the current …

Recent findings that earlier fraction knowledge predicts later mathematics achievement raise
the question of what predicts later fraction knowledge. Analyses of longitudinal data …