This meta-analysis examined the effectiveness of supplemental Tier-2 mathematics
interventions for students with mathematics difficulties (MD). We reviewed 39 experimental …

Understanding rational numbers is critical for secondary mathematics achievement.
However, students with mathematics difficulties (MD) struggle with rational number topics …

This article describes UMA (Unified Model of Arithmetic), a theory of children's arithmetic
implemented as a computational model. UMA builds on FARRA (Fraction Arithmetic Reflects …

The effectiveness of an experimental middle school fraction intervention was evaluated. The
intervention was centered on the number line and incorporated key principles from the …

Learning fractions is a critical step in children's mathematical development. However, many
children struggle with learning fractions, especially fraction arithmetic. In this article, we …

Fraction knowledge and algebraic skill are closely linked. Algebra is a gatekeeper for
advanced courses (Booth & Newton, 2012; Brown & Quinn, 2007). This study uses the …

In this systematic review, we explored mathematics interventions for middle school (Grades
6, 7, and 8) implemented with students who experienced difficulty in the area of …

Understanding fraction magnitudes is foundational for later math achievement. To represent
a fraction x/y, children are often taught to use partitioning: Break the whole into y parts and …

This study tested a novel approach to capitalizing on the benefits of play for informal math
learning. Two experiments evaluated a platform called “Fraction Ball,” that provides an …

The psychophysical function that best fits human data from number-line estimation is the
subject of a lively, on-going debate with important theoretical and practical implications. We …