Background: Number line accuracy (NL accuracy) shows improvement over the course of a school education. However, there are practically no cross-country longitudinal studies of NL accuracy over the whole course of elementary school. Aims: This study investigated the developmental trajectories of NL accuracy and its types across the elementary…

Arithmetic word-problem solving is an important component of elementary mathematics curricula that links school mathematics to real-life problem solving. The present 3-year longitudinal study examined children's arithmetic word-problem solving through understanding its 2 component processes: number-sentence construction and computation. Chinese…

Using a randomized placebo controlled design, we examined the direct and follow-up effects (at 6 and 12 months) of a mathematics tablet intervention. Math training focused primarily on basic arithmetic (addition and subtraction facts up to 12), and secondarily on number knowledge and word problems. We investigated the moderating effects of IQ and…

Children practice their spatial skills when playing with spatial toys, such as construction materials, board games, and puzzles. Sex and SES differences are observed in the engagement in such spatial play activities at home, which relate to individual differences in spatial performance. The current study investigated the effects of explicitly…

A 3-year longitudinal study "Transforming Children's Mathematical and Scientific Development" integrates, through data modelling, a pedagogical approach focused on mathematical patterns and structural relationships with learning in science. As part of this study, a purposive sample of 21 highly able Grade 1 students was engaged in an…

Explanations of the marked individual differences in elementary school mathematical achievement and mathematical learning disability (MLD or dyscalculia) have involved domain-general factors (working memory, reasoning, processing speed, and oral language) and numerical factors that include single-digit processing efficiency and multidigit skills…

This study investigated the role of generative strategies and working memory capacity on word problem solving accuracy in children with math difficulties (MD). Within classrooms, children in Grade 3 with MD ("n" = 69) were randomly assigned to one of three treatment conditions: paraphrase question propositions (Restate), paraphrase…

Two teachers each taught a 2-week fractions unit to two classes of grades 4-5 students. Each teacher taught one class using direct instruction and the other using a small-group variation of direct instruction. Regression analysis on achievement showed significant aptitude-treatment interaction (ATI) and significant teacher effects. (Author/RL)

The central question for this study is whether the improvement of group instruction can increase achievement to the same level as or even higher than that produced by the feedback-corrective process used in mastery learning. It is hoped that the findings can be of interest to developing countries. (RL)