Background: Children's numerical and arithmetic skills differ greatly already at an early age. Although research focusing on accounting for these large individual differences clearly demonstrates that mathematical performance draws upon several cognitive abilities, our knowledge concerning key abilities underlying mathematical skill development is…

Background: Spatial ability (SA) was shown to be important for success in different fields, including STEM. Recent research suggested that SA is a unitary construct, rather than a set of related skills. However, it is not clear how individual differences in different facets of SA emerge, and how they relate to variance in general cognitive…

Background: Developmental research provides considerable evidence of a strong relationship between verbal and visuospatial working memory (WM) and mathematics ability across age groups. However, little is known about how components of WM (i.e., short-term storage, processing speed, the central executive) might relate to mathematics sub-categories…

Background: Differences in competence gains between academic and non-academic track schools are often attributed to selection effects based on students' primary school performance and socioeconomic status (SES). However, how the competencies of comparable students (in terms of school performance and social background) at different tracks develop…

Background: Research indicates that animations presenting procedural instructions lead to better learning if the animation displays the procedural task from a first-person perspective (over-the-shoulder) compared to a third-person perspective (face-to-face). Aims: This study extends view-perspective research by investigating whether the…

It has been suggested that not only domain-specific factors but also working memory (WM) may play a crucial role in mathematical learning included Geometry, but the issue has not been deeply explored. In the present study, we examined the role of domain-specific factors and of verbal versus visuospatial WM on geometric learning of a new…

Mental rotation is positively related to arithmetic ability; however, the mechanism underlying this relationship remains unclear. The possible roles of working memory, place-value concept, and number line estimation in the correlation between mental rotation and whole-number computation were investigated. One hundred and fifty-five first-grade…

Background: Teachers' and parents' judgements of pupils' cognitive abilities influence pupils' daily learning opportunities and experiences, as these judgements affect the difficulty level of materials and instruction that teachers and parents provide. Over time, these judgements thus significantly shape educational success. However, pupils'…

Background: Problem-solving in early and middle childhood is of high relevance for cognitive developmental research and educational support. Previous research on science problem-solving has focussed on the process and strategies of children handling challenging tasks, but less on providing insights into the cognitive network that enables science…

Background: Previous research showed a significant association between mathematics and working memory (WM). However, evidence regarding the different effects of verbal and visuospatial WM on mathematical abilities was very limited. Aims: The current research aims to explore the relationship between verbal and visuospatial WM with mathematical…

Background: Causes produce effects via underlying mechanisms that must be inferred from observable and unobservable structures. Preschoolers show sensitivity to mechanisms in machine-like systems with perceptually distinct causes and effects, but little is known about how children extend causal reasoning to the natural continuous processes studied…

Background: What is redundancy? While most studies confirm that redundancy is harmful to learning, there are two theoretical approaches to redundancy. The first understands redundancy as a contentual overlap that puts demand on the limited cognitive capacities of the learner. The second understands redundancy as an ineffective combination of…

Background: There is a growing evidence base for the importance of spatial reasoning for the development of mathematics. However, the extent to which this translates into practice is unknown. Aims: We aimed to understand practitioners' perspectives on their understanding of spatial reasoning, the extent to which they recognize and implement…

Background: Mathematics homework is highly prevalent in East Asia. Teachers and parents expect mathematics homework to improve students' performance; however, studies have not clearly defined the effectiveness of the assignment of different amounts of homework. Aims: This study analyses the differential effect of homework amount on various facets…

Background: When mathematical knowledge is expressed in general language, it is called verbalized mathematics. Previous studies on verbalized mathematics typically paid attention to mathematical vocabulary or educational practice. However, these studies did not exclude the role of symbolic mathematics ability, and almost no research has focused on…