Mathematical problem-solving is a core content of primary school education. Therefore, it is necessary to provide all students with a meaningful way of acquisition of problem-solving skills. The objective of this research was to verify the effectiveness of a problem-solving routine based on the Pólya's model and the use of cognitive strategies…

This study sought to investigate whether there were performance differences between the children who engaged with the Ignite by Hatch™ educational gaming system using the English- or Spanish-language versions of the games. Differential item functioning methods (DIF) were employed to investigate these differences. Specifically, DIF analyses can…

Young children can quickly and intuitively represent the number of objects in a visual scene through the Approximate Number System (ANS). The precision of the ANS--indexed as the most difficult ratio of two numbers that children can reliably discriminate--is well known to improve with development: whereas infants require relatively large ratios to…

This study's purpose was to investigate effects of 3 intervention approaches for building working memory (WM) and improving word-problem solving (WPS). Children with mathematics difficulties (n = 240; 7.51 years [SD = 0.33]) were randomized to 4 conditions: a control group, general WM training with contiguous math practice, WPS intervention…

This study's purpose was to investigate effects of 3 intervention approaches for building working memory (WM) and improving word-problem solving (WPS). Children with mathematics difficulties (n = 240; 7.51 years [SD = 0.33]) were randomized to 4 conditions: a control group, general WM training with contiguous math practice, WPS intervention…

This project tested the effects of adding instruction of trios of children in patterning, mathematics, early literacy, or social studies to ongoing instruction in kindergartens. Children were randomly assigned to trios which were randomly assigned to one of four kinds of instruction. A quarter of the trios received patterning instruction with a…

This study examined the impact of an intervention, focused on professional noticing of children's conceptual development in whole number and arithmetic reasoning, on preservice elementary teachers' (PSETs') professional noticing skills, attitudes toward mathematics, and mathematical knowledge for teaching mathematics. A video-based professional…

Mathematical discussions in which students compare alternative solutions to a problem can be powerful modes for students to engage and refine their misconceptions into conceptual understanding, as well as to develop understanding of the mathematics underlying common algorithms. At the same time, these discussions are challenging to lead…

Research has highlighted the role of working memory and inhibition on the performance of pupils in mathematics. This study was an attempt to look into the relationship between executive function including working memory capacity and inhibition on the one hand and mathematical abilities on the other. 30 primary school students were selected from…

Mathematical discussions in which students compare alternative solutions to a problem can be powerful modes for students to engage and refine their misconceptions into conceptual understanding, as well as to develop understanding of the mathematics underlying common algorithms. At the same time, these discussions are challenging to lead…

Prior research has shown that EL classification is consequential for students, however, less is known about how EL classification impacts students' outcomes. In this study, we examine one hypothesized mechanism: teacher perceptions. Using nationally-representative data (ECLS-K:2011), we use coarsened exact matching to estimate the effect of EL…

Accurate monitoring and control are essential for effective self-regulated learning. These metacognitive abilities may be particularly important for developing math skills, such as when children are deciding whether a math task is difficult or whether they made a mistake on a particular item. The present experiments investigate children's ability…

In the past technology products created to overcome accessibility and usability issues experienced by individuals with special needs have also resulted in greater usability for the wider population. Technology is increasingly being seen as a key component within the education of children with special needs and recently researchers have developed…

Proportional reasoning is an important cornerstone in children's mathematical development. This sort of reasoning has been shown to develop across the early years of schooling (ages 8 to 10) through the middle years (ages 11-14). In the early years, children tend to use additive reasoning to generate solutions to problems, while later comparisons…

Since the 1970s, the National Assessment of Educational Progress (NAEP) has monitored the academic performance of 9-, 13-, and 17-year-old students with what have become known as the long-term trend assessments. Four decades of results offer an extended view of student achievement in reading and mathematics. Results in this report are based on the…