The contributions of working memory domains and processes to early mathematical knowledge between preschool and first grade.

Working Memory (WM) plays a crucial role in supporting children's mathematical learning. However, there is no consensus on the relative contributions of different WM domains (i.e., verbal, visuo-spatial, and numerical-verbal) and processes (i.e., low-control and high-control) to mathematical performance, specifically before and after the onset of formal education. This cross-sectional study examined the relations between WM domains and processes and early mathematical knowledge, comparing a group of children in the second year of preschool (N = 66) to a group of first graders (N = 110). Results of multigroup path analysis showed that whereas visuo-spatial low-control WM significantly predicted early mathematical knowledge only among preschoolers, verbal low-control WM was a significant predictor only among first graders. Instead, the contribution of visuo-spatial high-control WM emerged as significant for both age groups, as well as that of numerical-verbal WM, although the latter to a greater extent among preschoolers. These findings provide new insights into the WM domains and processes most involved in early mathematical knowledge at different developmental stages, with potential implications for the implementation of age-appropriate training interventions targeting specific WM skills before and after the onset of formal education.

Improving number abilities in low achieving preschoolers: Symbolic versus non-symbolic training programs.

BACKGROUND: Although previous correlational studies have shown that both symbolic and non-symbolic abilities relate to mathematical abilities, correlational studies cannot show the cause and effect of these abilities for mathematical success. AIMS: The current study examined the effect of a non-symbolic training program, called PLUS and a symbolic training program, called DIGIT, to provide further insight into the causal nature of domain specific factors that contribute to mathematical abilities. METHODS: and Procedures: Forty-nine preschool children who had low mathematical abilities were recruited and randomly allocated to the DIGIT and PLUS training programs. Performance on a number of mathematical tasks was compared to 20 preschoolers with no mathematical difficulties. OUTCOMES AND RESULTS: Performance in both training programs improved on the Test of Early Mathematical Abilities as well as on a non-symbolic Approximate Number Sense task, counting tasks, and digit recognition tasks, immediately after five weeks of training and this improvement remained six months later. CONCLUSIONS AND IMPLICATIONS: This study provides further evidence that symbolic and non-symbolic abilities bi-directionally impact on each other and that ordinality knowledge is an important factor of mathematical development.

Improving approximate number sense abilities in preschoolers: PLUS games.

Previous studies in both typically and atypically developing children have shown that approximate number system (ANS) abilities predict formal mathematical knowledge later on in life. The current study investigated whether playing specially designed training games that targets the ANS system using nonsymbolic stimuli only would improve preschool children's ANS abilities. Thirty-eight preschool children were randomly allocated to either the training or control group. For 5 weeks, 20 preschoolers (9 girls) in the training group played daily games for 10 min that included guessing and comparing numerosities, whereas 18 control children (6 girls) were involved in interactive picture book reading sessions. Children's ANS abilities were assessed using a computerized task before and after the training program. An analysis of covariance with posttraining ANS scores as dependent variable and pretraining scores as a covariate showed that the children in the training group had higher ANS abilities after the training, in contrast to children in the control group (p = .012, ηp2 = .171). This study provides evidence that ANS abilities can be improved in preschool children through a daily training program that targets the ANS specifically. These findings provide support for further training programs for preschool children who show mathematical difficulties early on in life. (PsycINFO Database Record

Working memory and early numeracy training in preschool children.

Many factors influence children's performance in mathematical achievement, including both domain-specific and domain-general factors. This study aimed to verify and compare the effects of two types of training on early numerical skills. One type of training focused on the enhancement of working memory, a domain-general precursor, while the other focused on the enhancement of early numeracy, a domain-specific precursor. The participants were 48 five-year-old preschool children. Both the working memory and early numeracy training programs were implemented for 5 weeks. The results showed that the early numeracy intervention specifically improved early numeracy abilities in preschool children, whereas working memory intervention improved not only working memory abilities but also early numeracy abilities. These findings stress the importance of performing activities designed to train working memory abilities, in addition to activities aimed to enhance more specific skills, in the early prevention of learning difficulties during preschool years.

Improving working memory abilities in individuals with Down syndrome: a treatment case study.

Working memory (WM) skills of individuals with Down's syndrome (DS) tend to be very poor compared to typically developing children of similar mental age. In particular, research has found that in individuals with DS visuo-spatial WM is better preserved than verbal WM. This study investigated whether it is possible to train short-term memory (STM) and WM abilities in individuals with DS. The cases of two teenage children are reported: EH, 17 years and 3 months, and AS, 15 years and 11 months. A school-based treatment targeting visuo-spatial WM was given to EH and AS for six weeks. Both prior to and after the treatment, they completed a set of assessments to measure WM abilities and their performance was compared with younger typically developing non-verbal mental age controls. The results showed that the trained participants improved their performance in some of the trained and non-trained WM tasks proposed, especially with regard to the tasks assessing visuo-spatial WM abilities. These findings are discussed on the basis of their theoretical, educational, and clinical implications.