Towards an integrative model of math cognition : Interactions between working memory and emotions in explaining children’s math performance

Individual variation in mathematical skills can be ascribed to differences in cognitive ability, but also to students’ emotional experiences of mathematics, such as enjoyment and anxiety. The current study investigated how the interplay of working memory with math anxiety and enjoyment explains mathematical performance in primary school students. We also explored whether these relations differed with the type of math test and students’ age. Using mixed effect models, we reanalyzed data from 4471 Dutch primary school students (grades 2–6) who had completed two computerized working memory tasks, had filled out a questionnaire on math emotions, and had completed two math tests: story problems and speeded arithmetic. Findings showed that working memory, anxiety, and enjoyment were linear (but not curvilinear) predictors of performance on both tests, while some relations were stronger for the math (story)-problem-solving test. Higher math anxiety negatively impacted performance more strongly for students with stronger working memory skills, but only on the arithmetic test. No interaction between working memory and enjoyment was found. The relation between math anxiety and math performance increased with grade level, but no other age-related changes were found. Interpretations and recommendations focus on situated views on learning and emotion

Readiness-based differentiation in primary school mathematics: expert recommendations and teacher self-assessment

The diversity of students’ achievement levels within classrooms has made it essential for teachers to adapt their lessons to the varying educational needs of their students (‘differentiation’). However, the term differentiation has been interpreted in diverse ways and there is a need to specify what effective differentiation entails. Previous reports of low to moderate application of differentiation underscore the importance of practical guidelines for implementing differentiation. In two studies, we investigated how teachers should differentiate according to experts, as well as the degree to which teachers already apply the recommended strategies. Study 1 employed the Delphi technique and focus group discussions to achieve consensus among eleven mathematics experts regarding a feasible model for differentiation in primary mathematics. The experts agreed on a five-step cycle of differentiation: (1) identification of educational needs, (2) differentiated goals, (3) differentiated instruction, (4) differentiated practice, and (5) evaluation of progress and process. For each step, strategies were specified. In Study 2, the Differentiation Self-Assessment Questionnaire (DSAQ) was developed to investigate how teachers  self-assess their use of the strategies recommended by the experts. While teachers (N = 268) were moderately positive about their application of the strategies overall, we also identified areas of relatively low usage (including differentiation for high-achieving students) which require attention in teacher professional development. Together, these two studies provide a model and strategies for differentiation in primary mathematics based on expert consensus, the DSAQ which can be employed in future studies, and insights into teachers’ self-assessed application of specific aspects of differentiation

The Effectiveness of Mindfulness Training on Behavioral Problems and Attentional Functioning in Adolescents with ADHD

The effectiveness of an 8-week mindfulness training for adolescents aged 11–15 years with ADHD and parallel Mindful Parenting training for their parents was evaluated, using questionnaires as well as computerized attention tests. Adolescents (N = 10), their parents (N = 19) and tutors (N = 7) completed measurements before, immediately after, 8 weeks after and 16 weeks after training. Adolescents reported on their attention and behavioral problems and mindful awareness, and were administered two computerized sustained attention tasks. Parents as well as tutors reported on adolescents’ attention and behavioral problems and executive functioning. Parents further reported on their own parenting, parenting stress and mindful awareness. Both the mindfulness training for the adolescents and their parents was delivered in group format. First, after mindfulness training, adolescents’ attention and behavior problems reduced, while their executive functioning improved, as indicated by self-report measures as well as by father and teacher report. Second, improvements in adolescent’ actual performance on attention tests were found after mindfulness training. Moreover, fathers, but not mothers, reported reduced parenting stress. Mothers reported reduced overreactive parenting, whereas fathers reported an increase. No effect on mindful awareness of adolescents or parents was found. Effects of mindfulness training became stronger at 8-week follow-up, but waned at 16-week follow-up. Our study adds to the emerging body of evidence indicating that mindfulness training for adolescents with ADHD (and their parents) is an effective approach, but maintenance strategies need to be developed in order for this approach to be effective in the longer term

Examining the Role of Parents and Teachers in Executive Function Development in Early and Middle Childhood: A Systematic Review

The aim of the current systematic review is (1) to examine theoretical frameworks and mechanisms explaining the association between parental and teacher behaviors and child executive function (EF) development, and (2) to compare and combine empirical findings for the relationship between parental and teacher behaviors and child EF development in early and middle childhood. Results revealed that theoretical frameworks have been established more strongly in the parent literature and parental behaviors have been more extensively studied with more diverse terms compared to studies in teacher literature. Overall, patterns of findings suggest that positive (e.g., emotional support) and cognitive parental/teacher behaviors (e.g., cognitive stimulation) were positively linked to child EF performance while negative behaviors (e.g., intrusiveness) were adversely related. Considering the similar roles of parents and teachers in child EF development, insights from parent literature could enable a better understanding of the impact of teacher behaviors on child EF (and vice versa), and opens new venues for future teacher research. Moreover, these findings suggest that, in addition to genetic transmission, social factors such as parent/teacher-child interactions play a significant role in EF development. Future research should investigate the joint influence of parent and teacher behaviors on child EF

The Mindful Attention Awareness Scale for Adolescents (MAAS-A): Psychometric Properties in a Dutch Sample

The factor structure and psychometric properties of the Dutch version of the Mindful Attention Awareness Scale for Adolescents (MAAS-A) was studied in a sample of adolescents (n = 717; age range, 11–17 years) of the general population. The MAAS-A and other questionnaires measuring other constructs were administered in high schools across the Netherlands. A one-factor structure was demonstrated using principal component analysis and was further confirmed using confirmatory factor analysis. The MAAS-A was shown to have high internal consistency. Expected negative correlations between mindfulness and self-reported stress and emotion regulation strategies such as rumination and catastrophizing were found. Further, mindfulness was positively correlated with happiness, healthy self-regulation, and with another recently developed measure of mindfulness in children and adolescents, the Child and Adolescent Mindfulness Measure. Mindfulness as measured by the MAAS-A correlated positively with quality of life, but an expected positive relationship with acceptance was not found. Interestingly, adolescents without meditation experience scored higher on the MAAS-A than adolescents without this experience. Further, adolescents with chronic disorders scored lower on the MAAS-A than adolescents without these disorders. Overall, this study has shown evidence of the first valid and reliable Dutch measure of mindfulness for adolescents. The factor structure, internal consistency, and convergent and divergent validity as well as their relationship to quality of life are comparable to the original MAAS-A

Why and for whom does personalizing math problems enhance performance? Testing the mediation of enjoyment and cognitive load at different ability levels

In two context personalization studies, we examined (a) enjoyment and cognitive load as two potential mechanisms explaining the effects of context personalization on mathematical word problem performance, and (b) whether individual differences in math, reading and working memory ability moderated these effects. In both studies (Study 1: N = 238; Study 2: N = 149) primary school students from 6th grade completed math word problems in either a personalized condition or a control condition. Students rated their enjoyment and experienced cognitive load after each problem. Moderated mediation models showed that while ability, enjoyment and cognitive load significantly predicted performance, (a) personalization did not affect word problem performance, enjoyment or cognitive load, and (b) the three different abilities did not moderate these relations. The findings are discussed in light of three personalization principles (depth, grain size, ownership) and complexity in different steps of math problem solving

Classroom versus individual working memory assessment: predicting academic achievement and the role of attention and response inhibition

Working memory (WM) is an important predictor for academic learning and achievement. Typically, children’s WM is assessed in controlled testing situations, which might not reflect functioning in typical classroom learning situations with natural distractions. In this study, we compared WM performance in controlled and classroom situations and their predictive value for academic achievement. Also, we examined whether performance differences between situations were moderated by attention or response inhibition. In a within-subjects design, primary school children completed visuospatial and verbal WM tasks in two settings (classroom versus controlled individual setting). First, WM functioning was lower in the classroom setting. Second, attention moderated individual differences in this discrepancy between settings, but response inhibition did not. Third, classroom obtained verbal WM scores were the strongest predictors of academic achievement. Our results indicate that classroom assessment of verbal WM provides a more ecologically valid measurement of WM abilities in a real-life learning situation

Sex differences in the association of math achievement with visual-spatial and verbal working memory: Does the type of math test matter?

Previous research on sex differences in mathematical achievement shows mixed findings, which have been argued to depend on types of math tests used and the type of solution strategies (i.e., verbal versus visual-spatial) these tests evoke. The current study evaluated sex differences in (a) performance (development) on two types of math tests in primary schools and (b) the predictive value of verbal and visual-spatial working memory on math achievement. Children (N = 3175) from grades 2 through five participated. Visual-spatial and verbal working memory were assessed using online computerized tasks. Math performance was assessed five times during two school years using a speeded arithmetic test (math fluency) and a word problem test (math problem solving). Results from Multilevel Multigroup Latent Growth Modeling, showed that sex differences in level and growth of math performance were mixed and very small. Sex differences in the predictive value of verbal and visual-spatial working memory for math performance suggested that boys seemed to rely more on verbal strategies than girls. Explanations focus on cognitive and emotional factors and how these may interact to possibly amplify sex differences as children grow older