Cognitive processes and math performance: a study with children at third grade of basic education

Self-Regulated Learning and Working Memory Determine Problem-Solving Accuracy in Math

This study aims to understand the role of self-regulated learning (SRL) and its different processes in the relationship between working memory (WM) and problem-solving accuracy in math in primary school children. A sample of 269 primary school children (M_age = 8.84, SD = 0.81, 58% boys) participated in this study. Tasks were used as intervention resources to assess children's WM (i.e., reading and computation span tasks), SRL (i.e., a digital game), and performance (i.e., the performance in the game, as well as a traditional math problem). Through structural equation modeling, results revealed that WM predicted children's SRL and their problem-solving accuracy in math, such that those with higher capability for temporary storage attained better accuracy. Accordingly, children's SRL explained the relationship between WM capacity and problem-solving accuracy in math; such that the indirect effect of WM capacity through SRL was lower on problem-solving accuracy in math. Results indicated that the planning phase was a greater indicator of students' SRL in problem-solving accuracy in math. These results highlight the importance of SRL competencies in explaining children's performance in problem-solving in math.

The Impact of Achievements in Mathematics on Cognitive Ability in Primary School

Cognitive skills predict academic performance, so schools that try to improve academic performance might also improve cognitive skills. The purpose of this study was to determine the effect of achievements in mathematics on cognitive ability in primary school. Methods: Participants: 100 girls and 102 boys aged 9–10 years (the fourth grade) were selected from three schools. A diagnostic test of cognitive abilities (DTCA) was created by the authors of the article for the assessment of primary school students’ cognitive abilities. The diagnostic cognitive ability test was based on Reuven Feuerstein’s theory of dynamic cognitive modality assessment, the problem-solving model, and followed the mathematics curriculum for grade 4. The tasks of the test were distributed according to the cognitive function: systematic exploration, spatial orientation, sequencing, image recognition, recognizing and understanding relationships, collecting and processing information, algorithm development, data management (classification), and construction of combinations. Achievements in mathematics: they were collected systematically using short- and medium-term mathematics tests, and the levels of achaievement were defined of grade 4 primary school students to assess individual learner performance, anticipate their learning strengths and weaknesses, and shape their subsequent learning process. Results: With regard to the relationships between cognitive functions and achievement level, Spearman’s correlation analysis revealed the relationships between the following cognitive functions: systematic exploration and spatial orientation (Spearman q = 0.276, p = 0.022), systematic exploration and designing an algorithm development (Spearman q = 0.351, p = 0.003), spatial orientation and data management (Spearman q = 0.274, p = 0.023), sequencing and combination construction (Spearman q = 0.275, p = 0.022), and sequencing and recognizing and understanding relationships (Spearman q = 0.243, p = 0.044). Conclusions: (1) The internal validity of the diagnostic test of cognitive abilities was supported by significant correlations between cognitive functions and mathematics achievement. This suggests that this methodology of the diagnostic cognitive ability test can be used to assess the cognitive abilities of primary school students. (2) The diagnostic test of cognitive abilities showed that the majority of primary school students reached higher levels of achievement in a systematic inquiry (systematic, non-impulsive, planned behavior when collecting data or checking information). A difference was observed in the ability of students to navigate in space and follow directions for primary school students at a satisfactory or higher level. Primary school students’ performance in identifying the rule for the sequencing of elements, finding missing elements, and extending the sequences was at the basic and advanced levels. (3) The results of the study showed the reciprocal correlation between achievements in mathematics and cognitive function of primary school students. The two phases that caused difficulties for students were revealed: understanding the problem and carrying out the plan phase.

Creative Mathematical Reasoning: Does Need for Cognition Matter?

A large portion of mathematics education centers heavily around imitative reasoning and rote learning, raising concerns about students' lack of deeper and conceptual understanding of mathematics. To address these concerns, there has been a growing focus on students learning and teachers teaching methods that aim to enhance conceptual understanding and problem-solving skills. One suggestion is allowing students to construct their own solution methods using creative mathematical reasoning (CMR), a method that in previous studies has been contrasted against algorithmic reasoning (AR) with positive effects on test tasks. Although previous studies have evaluated the effects of CMR, they have ignored if and to what extent intrinsic cognitive motivation play a role. This study investigated the effects of intrinsic cognitive motivation to engage in cognitive strenuous mathematical tasks, operationalized through Need for Cognition (NFC), and working memory capacity (WMC). Two independent groups, consisting of upper secondary students (N = 137, mean age 17.13, SD = 0.62, 63 boys and 74 girls), practiced non-routine mathematical problem solving with CMR and AR tasks and were tested 1 week later. An initial t-test confirmed that the CMR group outperformed the AR group. Structural equation modeling revealed that NFC was a significant predictor of math performance for the CMR group but not for the AR group. The results also showed that WMC was a strong predictor of math performance independent of group. These results are discussed in terms of allowing for time and opportunities for struggle with constructing own solution methods using CMR, thereby enhancing students conceptual understanding.

Promote Selective Attention in 4th-Grade Students: Lessons Learned from a School-Based Intervention on Self-Regulation

Academic success is a complex concept comprising not only good academic performance, but also the development of competencies and the accomplishment made by the ends of learning. Among the motivational and attentional variables likely to influence academic success, extant literature reports the relevance of developing self-regulation and attentional control to foster school success. Still, little is known about how to foster attentional control competencies through training on self-regulated learning strategies. The present study aims are twofold: (i) to assess the efficacy of a program targetted to promote self-regulation strategies on attentional control, specifically in selective attention, and (ii) to explore the role of selective attention on arithmetic performance. Participants were 136 fourth grade students, aged from 8 to 11 years old. Of those, 68 were enrolled in a school-based intervention aimed to promote self-regulation. At the end of the intervention, the experimental group showed higher levels of self-regulation and selective attention that were significantly different when compared to the control group. The SR training has influenced positively participants SA with impact on their arithmetic competencies. The findings of this study can provide relevant insight to better understand these variables and to design better in-class practices.

Sports and mathematical abilities in primary school-aged children: How important are spatial abilities? An explorative study

It is well known that sports and mathematical abilities are related to spatial abilities, also a relation between sport and mathematical abilities is assumed. However, the relation between all three aspects has not been investigated until now. Therefore, the main goal of the study is to examine the relationship between sport, spatial and mathematical ability in elementary school aged children. 50 boys and 42 girls from third grade solved spatial and sport tasks, which can be differentiated into the following: intrinsic-dynamic, intrinsic-static and extrinsic-static. Furthermore, their performances in mathematical (separated into numerical/arithmetical and geometrical) abilities were analyzed. The results showed significant correlations between the static spatial and sporting activities. This correlation is due to the strong correlation within the group of girls. Furthermore, a good performance in the intrinsic-spatial ability was related to a high geometrical ability of the children, especially in boys. However, the geometrical ability could not be predicted by sport abilities.

A resolução de problemas de matemática por alunos regulares e com alta capacidade

O desempenho cognitivo e académico de alunos com altas capacidades nem sempre é entendido em termos dos processos cognoscitivos envolvidos na sua aprendizagem. Na ausência dessa análise, psicólogos e professores estão limitados na real avaliação das competências destes alunos e na implementação de práticas de ensino que atendam às suas especificidades e necessidades. Partindo desta realidade, procura-se averiguar como um grupo de alunos de Portugal e de Espanha, com idades entre os 9 e os 12 anos, resolvem problemas. A amostra foi constituída para efeitos comparativos por alunos com elevado potencial intelectual e por alunos regulares...