Procedural flexibility is an important skill for algebra. Although prior work has focused on measuring students' procedural flexibility using arithmetic problems, word problems may also capture students' flexibility because of their open-ended nature. To date, no published study has examined the use of word problems as another measure of…

It is well known that fraction knowledge is relevant for later success in mathematics. However, many students still face difficulties when dealing with fractions. Predictors of fraction knowledge have been widely examined. Systematizing "mathematical" predictors, whether their predictive contributions are direct or indirectly mediated…

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 embodied, playful, and physically active learning experience by modifying the lines on a basketball court to support rational number learning. In the Pilot…

"Jigsaw" is a peer learning procedure derived from social interdependence theory, which suggests that individuals positively linked by a common goal can benefit from positive and promotive social interactions (Aronson & Patnoe, 2011). Although jigsaw has often been presented as an efficient way to promote learning, empirical research…

The current study investigated the relation between spatial ability and children's math performance, as well as the potential mechanisms underlying this relation including numerical magnitude knowledge, understanding of arithmetic operations, and word-problem representation. A sample of 221 Asian sixth graders (age 11, 129 boys) completed a series…

The early prediction of math difficulties (MD) is important as it facilitates timely support. MD are multifaceted, and several factors are involved in their manifestation. This makes the accurate early prediction of MD particularly challenging. In the present study, we aim to predict MD in Grade 6 with kindergarten-age (age 6) measures by applying…

The relation between prior knowledge and learning has been investigated in many studies. However, a recent meta-analysis showed that most of these studies suffered from serious methodological shortcomings, as they failed to account for knowledge growth over time, possible ceiling effects for learners with high prior knowledge, moderating effects…

Fraction arithmetic facility is fundamental to learning more advanced math topics. However, attaining the ability to add and subtract fractions is hard for many students. The present longitudinal study examined students' growth on simple addition and subtraction word problems between fourth and sixth grades (N = 536). Latent class growth analyses…

Understanding equivalence is fundamental to STEM disciplines, yet misunderstandings and misconceptions inhibit students from fully appreciating or leveraging the concept. Using the game-based algebraic notation system, From Here to There! (FH2T), students explore ideas of equivalence by dynamically transforming expressions or equations among…

As student engagement in science learning continues to garner significant attention from educational researchers, practitioners, and policymakers, the importance of understanding person and context-related factors that impact student engagement is increasingly recognized. In this mixed methods study, middle school students' (N = 1,848) engagement…

It is unknown how multiple components of on-task regulation of learning affect task performance in school children. This research aimed to acquire insights into the interrelations between children's metacognitive monitoring, regulation of learning, and task performance. Three components of on-task regulation of learning were investigated:…

The purpose of the current mixed-methods study was to investigate the effectiveness of a traditional and novel knowledge activation technique for supporting fifth and sixth graders' comprehension of exposition covering unfamiliar content. For the quantitative portion, 149 rural middle-school students were randomly assigned to 1 of 3 conditions:…

Social dominance goals have been conceptualized as orientations toward powerful and prominent positions in the peer group. Although previous studies have identified social dominance goals as one of the main motivations behind bullying, few studies have disentangled the time-invariant (average level) from the time-varying (year-to-year) effects of…

The study tested the hypothesis that there are sex differences in the pathways to mathematical development. Three-hundred and 42 adolescents (169 boys) were assessed in various mathematics areas from arithmetic fluency to algebra across 6th to 9th grade, inclusive, and completed a battery of working memory, spatial, and intelligence measures in…

A pretest-training-posttest design assessed whether training to improve spatial skills also improved mathematics performance in elementary-aged children. First grade students (mean age = 7 years, n = 134) and sixth grade students (mean age = 12 years, n = 124) completed training in 1 of 2 spatial skills--spatial visualization or form…