The role of cognitive and non-cognitive factors in mathematics achievement: The importance of the quality of the student-teacher relationship in middle school

The impact of math anxiety and self-efficacy in middle school STEM choices: A 3-year longitudinal study

INTRODUCTION

In today's world, which is progressively oriented towards science and technology and facing a growing demand for skilled professionals, it becomes essential to identify the factors that encourage individuals to pursue careers in STEM fields (Science, Technology, Engineering and Mathematics). Previous research has shown that affective-motivational factors, math performance and gender influence STEM occupational and academic choices in adulthood. However, few studies examined how these factors may influence STEM choices as early as middle school. This study aims to assess how math anxiety, math self-efficacy, math performance and gender influence STEM school choices during middle school.

METHODS

We longitudinally assessed a group of 109 students (Year 6) over three school years, with measurements taken on three different occasions.

RESULTS

Findings indicated that individuals who made an STEM school choice experienced lower math anxiety, higher self-efficacy and math performance and were predominantly male. Furthermore, the results indicated that both math anxiety in Year 7 and self-efficacy in Year 6 made the most substantial unique contributions to the STEM school choice.

CONCLUSION

Math anxiety and math self-efficacy seem to be both crucial in influencing middle school students' STEM choices, offering new perspectives for early interventions aimed at promoting more informed school choices.

Anxiety and Teacher-Student Relationships in Secondary School: A Systematic Literature Review

Anxiety disorders are the most prevalent mental disorders experienced by adolescents. As students spend a significant amount of time within a school environment, it is not surprising that factors in the school environment have been linked to student mental health. Positive teacher-student relationships (TSRs) in children have been found to improve student mental health outcomes, with supportive TSRs associated with reduced student anxiety, and in turn, student anxiety has also been associated with reduced poorer TSR quality. The findings in adolescents are less clear. This review aimed to systematically evaluate the impact of TSRs on anxiety in secondary school students, and vice-versa using PRISMA guidelines. Searches were conducted in five databases and studies screened against inclusion and exclusion criteria, and rated for study quality by two independent researchers. Twenty-six studies across 12 countries were included. Most studies reported higher quality TSRs (e.g., those that are perceived as more supportive, caring, and warm) was associated with decreased anxiety. Conversely, TSRs that were characterised by dependence, motivational support, conflict, or harassment, were associated with increased anxiety. Most studies used a cross-sectional design and as such conclusions regarding causality as well as the direction of the effects cannot be made. However, early evidence from a limited number of longitudinal studies indicated that positive TSRs reduced anxiety over time. Future research is warranted to investigate whether anxiety affects TSRs, as well as exploring specific strategies and approaches teachers can use to establish positive relationships with their students.

Maths anxiety and subjective perception of control, value and success expectancy in mathematics

Mathematics anxiety (MA) is an academic anxiety related to doing, learning and testing mathematics. MA can negatively affect mathematics performance, motivation and maths-heavy science and technology-related career choices. Previous data suggest that subjective perceptions and interpretations of students are key in the genesis of MA. Here, based on expectancy-value and control-value theory, we aimed to identify potential, theoretically based subjective factors probably key to understanding MA. We analysed data from 151 745 fifteen-year-old children from 65 'countries and economies' from the Programme for International Student Assessment (PISA) 2012 dataset. Subjective self-perceptions had a stronger relationship with MA than maths achievement. We found that higher MA was associated with lower perceived control over maths activities and lower subjective expectation of success. Surprisingly, children with higher subjective valuation of maths had higher MA for similar levels of subjective control and success expectancy in maths. Results offer an improved understanding of potential antecedents of MA and suggest that effective interventions could be based on gradual confidence building in maths. These could primarily draw on a deeper understanding of the subject improving subjective success expectancy and feeling of control over maths activities. Cultural variation in findings is discussed.

Relation between fluid intelligence and mathematics and reading comprehension achievements: The moderating role of student teacher relationships and school bonding

Several studies have shown the relevance among students of the quality of their interpersonal relationships for their academic achievement. Nevertheless, most studies available have explored the relation between the cognitive functioning and academic achievement without taking into account the quality of the relationships experienced in the school environment. Furthermore, the studies that have begun to consider the joint role of these factors in the prediction of academic achievement are scant. Therefore, it appears of relevance to deepen the relation between cognitive functioning and quality of school relationships in order to support students' academic achievement and the potential of youth. In this paper, we examined the moderating role of the quality of student-teacher relationships and school bonding (STR-SB) in the associations of fluid intelligence (Gf) with academic achievement among adolescents (N = 219). A multiple-group structural equation modelling analysis revealed that STR-SB quality moderated unexpectedly only the link between Gf and mathematics. The findings support the idea that the quality of student-teacher relationships may be a relevant dimension to be considered to clarify the association between cognitive functioning and academic achievement.

Investigating Latent Interactions between Students' Affective Cognition and Learning Performance: Meta-Analysis of Affective and Cognitive Factors

Affective and cognitive factors play significant roles in influencing students' learning performance. However, limited studies exist that examine the latent interactions between these factors and students' learning performance. This study applied a meta-analytic approach to examine the relationships between affective and cognitive factors and students' learning performance through the selected publications. We identified 18 affective and cognitive influencing factors related to student learning achievement/performance. It was found that academic performance was significantly impacted by learning scores, future aspirations and goals, peer support for learning, and family support for learning. A moderate impact was observed for cognitive benefits, skill development, self-regulation, values, knowledge, character, self-belief, attitudes and beliefs, affective benefits, motivation, optimism, and behavioral engagement. A weak influence was observed for control and relevance of schoolwork and self-efficacy. The discussion and limitations of this study have also been provided in the last sections.

Innate ability, health, motivation, and social capital as predictors of students' cognitive, affective and psychomotor learning outcomes in secondary schools

Background

Previous studies assessing students' learning outcomes and identifying contributing factors have often dwelt on the cognitive domain. Furthermore, school evaluation decisions are often made using scores from cognitive-based tests to rank students. This practice often skews evaluation results, given that education aims to improve the three learning domains. This study addresses this gap by assessing the contributions of four students' input to their cognitive, affective and psychomotor skills (CAPs).

Methods

A cross-section of senior secondary class II students (n = 870), sampled through the multistage procedure, participated in a physical survey. Students' Inputs Questionnaire (STIQ) and Learning Outcomes Questionnaire (LOQ) were used for data collection. Based on data obtained from a pilot sample (n = 412), principal axis factoring (PAF) was performed to assess the internal structure of the instruments following an oblique rotation. The KMO value of sampling adequacy were 0.88 and 0.94, while the Bartlett's test of sphericity were significant χ2(253) = 5,010; p < 0.001 and χ2(105) = 3693.38, p < 0.001 for the STIQ and LOQ, respectively. Confirmatory factor analysis was used to assess the models' acceptability based on the maximum likelihood estimation technique. The main study used hierarchical linear regression for data analysis.

Results

Findings indicated that innate ability, health, motivation and social capital relatively and cumulatively predicted students' overall, cognitive, affective and psychomotor learning outcomes. The proportion of variance explained by the predictors increased at different levels of the models with the addition of new variables. Students' social capital reduced the effect of students' innate ability regardless of their motivation and health status.

Conclusion/implication

This study has provided evidence that the four students' inputs are crucial predictors of their learning outcomes in the three domains. This result is helpful for school management to provide services aimed at improving the school climate for students' motivation and social capital. The result can provide policymakers with a proper understanding of the constituents of learning outcomes and how policies can be aligned to secure quality student inputs for maximum productivity in education.

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.

Adaptation of the Questionnaire on Teacher Interaction in Tunisia: Teaching Strategies to Promote Sustainable Education in Schools

The objective of the study was the translation and adaptation into Arabic language of the Questionnaire on Teacher Interaction and the examination of psychometric properties among students in Tunisia. A set of students (N = 778) were recruited to complete a translated, Arabic version of the Teacher Interaction Questionnaire (AQTI). The subjects represented both female and male with an average age of 15.98 ± 2.17 years. The subjects were divided into exploratory (N = 226) and confirmatory (N = 552) samples. For the exploratory sample, the female sex represented 46.90% and the male 53.10% (N = 120). Likewise, the confirmatory sample consisted of females (48.01%) and males (51.99%). The scale designed in Arabic AQTI presented eight components for exploratory factor analysis. The result was a first factorial solution, which kept these eight components of the predetermined instrument. The confirmatory factor analysis provided good fit indices. Similar results for instrument reliability were confirmed for all dimensions, through good Cronbach’s coefficient, which were superior to 0.80. The Arabic version of AQTI is valid and reliable and can be administered to assess teacher/student interactions in Tunisia. However, further research needs to examine the construct validity of the instrument.

Working Memory and Its Mediating Role on the Relationship of Math Anxiety and Math Performance: A Meta-Analysis

It is well established that math anxiety has a negative relationship with math performance (MP). A few theories have provided explanations for this relationship. One of them, the Attentional Control Theory (ACT), suggests that anxiety can negatively impact the attentional control system and increase one's attention to threat-related stimuli. Within the ACT framework, the math anxiety (MA)-working memory (WM) relationship is argued to be critical for math performance. The present meta-analyses provides insights into the mechanisms of the MA-MP relation and the mediating role of WM. Through database searches with pre-determined search strings, 1,346 unique articles were identified. After excluding non-relevant studies, data from 57 studies and 150 effect sizes were used for investigating the MA-MP correlation using a random-effects model. This resulted in a mean correlation of r = -0.168. The database search of WM as a mediator for the MA-MP relation revealed 15 effects sizes leading to a descriptive rather than a generalizable statistic, with a mean indirect effect size of -0.092. Overall, the results confirm the ACT theory, WM does play a significant role in the MA-MP relationship.

Learning a new geometric concept: The role of working memory and of domain-specific abilities

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 geometrical figure (trapezoid), never presented previously by the teachers participating to the study, after a lecture also involving manipulatives. Results on 105 children in their Year 4 indicated that not only some domain‐specific components (geometric declarative knowledge and calculation) but also visuospatial working memory had a significant specific impact on the ability of solving geometric problems requiring to calculate the perimeter and the area of the new figure. On the contrary, verbal WM and geometrical mental imagery did not offer a specific contribution. These findings could have important educational implications, stressing the importance of taking into account the main different aspects supporting the acquisition of geometry.

Testing the Functional Profiles of School Refusal Behavior and Clarifying Their Relationship With School Anxiety

Students with school attendance problems are a diverse and heterogeneous group whose patterns of symptomatology can change over time. This study aims to identify different school refusal behavior profiles and to determine whether these profiles differ from each other based on four situational factors and three response systems of school anxiety across gender. The participants were 1,685 Spanish students (49% female) aged 15–18 years (M = 16.28; SD =0.97). The School Refusal Assessment Scale-Revised (SRAS-R) and the School Anxiety Inventory (SAI) were administered. Latent profile analysis revealed five school refusal behavior profiles: Non-School Refusal Behavior, Mixed School Refusal Behavior, School Refusal Behavior by Positive Reinforcement, Low School Refusal Behavior, and High School Refusal Behavior. The results indicated that High School Refusal Behavior and Mixed School Refusal Behavior groups were the most maladaptive profiles since it obtained the highest mean scores on school anxiety. In contrast, Non-School Refusal and School Refusal Behavior by Positive Reinforcement groups revealed the lowest scores in school anxiety. Non-significant gender-based differences were found, only girls were more represented in the mixed school refusal behavior profile in comparison with boys but with a small effect size. Findings are discussed in relation to the importance of promoting good mental health to prevent school attendance problems in adolescents and younger ages.

Comorbid Learning Difficulties in Reading and Mathematics: The Role of Intelligence and In-Class Attentive Behavior

The goal was to identify the domain-general cognitive abilities and academic attitudes that are common and unique to reading and mathematics learning difficulties that in turn will have implications for intervention development. Across seventh and eighth grade, 315 (155 boys) adolescents (M age = 12.75 years) were administered intelligence, verbal short-term and working memory, and visuospatial memory, attention, and ability measures, along with measures of English and mathematics attitudes and mathematics anxiety. Teachers reported on students' in-class attentive behavior. A combination of Bayesian and multi-level models revealed that intelligence and in-class attentive behavior were common predictors of reading accuracy, reading fluency, and mathematics achievement. Verbal short-term memory was more critical for reading accuracy and fluency, whereas spatial ability and mathematics self-efficacy were more critical for mathematics achievement. The combination of intelligence and in-class attentive behavior discriminated typically achieving students from students with comorbid (D = 2.44) or mathematics (D = 1.59) learning difficulties, whereas intelligence, visuospatial attention, and verbal short-term memory discriminated typically achieving students from students with reading disability (D = 1.08). The combination of in-class attentive behavior, verbal short-term memory, and mathematics self-efficacy discriminated students with mathematics difficulties from their peers with reading difficulties (D = 1.16). Given the consistent importance of in-class attentive behavior, we conducted post hoc follow-up analyses. The results suggested that students with poor in-class attentive behavior were disengaging from academic learning which in turn contributed to their risk of learning difficulties.