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 number line estimation task is widely used to investigate mathematical learning and
development. The present meta‐analysis statistically synthesized the extensive evidence on …

In beginning this chapter we immediately faced a dilemma. There is nothing that can be
called “the concept of function.” The phrase “concept of function,” regardless of its meaning …

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 …

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

It was argued recently that number line based training supports the development of
conceptual rational number knowledge. To test this hypothesis, we evaluated training effects …

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 …

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 …

Even though digital learning games have become common in education, relatively little is
known about the usefulness of game-based assessment. This paper aims to explore if a …

Research on mathematical knowledge for teaching (MKT) has the goal of trying to find
relationships among the mathematics that teachers know, their instruction, and students' …