Building Links Between Early Socioeconomic Status,Cognitive Ability,and Math and Science Achievement

The present study examined whether and how socioeconomic status (SES) predicts school achievement in science, technology, engineering, and math (STEM) using structural equation modeling and data from the National Institute of Child Health and Human Development Study of Child Care and Youth Development. The present inquiry addresses gaps in previous research linking SES and STEM achievement in high school. Results indicate that maternal education predicts the child’s early environment, which itself predicts the development of executive function (EF) and language, and thereby, STEM achievement. Moreover, children’s language ability and EF development influenced higher-order cognitive skills, such as relational reasoning, planning, and basic calculation skills. However, only relational reasoning strongly predicted high school math and science achievement, suggesting that relational reasoning, but not planning and calculation skills, was central to STEM thinking and learning.     

Stereotype Threat Effects on Learning From a Cognitively Demanding Mathematics Lesson

Stereotype threat—a situational context in which individuals are concerned about confirming a negative stereotype—is often shown to impact test performance, with one hypothesized mechanism being that cognitive resources are temporarily co‐opted by intrusive thoughts and worries, leading individuals to underperform despite high content knowledge and ability (see Schmader & Beilock, 2012 ). We test here whether stereotype threat may also impact initial student learning and knowledge formation when experienced prior to instruction. Predominantly African American fifth‐grade students provided either their race or the date before a videotaped, conceptually demanding mathematics lesson. Students who gave their race retained less learning over time, enjoyed the lesson less, reported a diminished desire to learn more, and were less likely to choose to engage in an optional math activity. The detrimental impact was greatest among students with high baseline cognitive resources. While stereotype threat has been well documented to harm test performance, the finding that effects extend to initial learning suggests that stereotype threat's contribution to achievement gaps may be greatly underestimated.     

The influence of motivational and emotional factors in mathematical learning in secondary education

IntroductionWhile motivation has, for decades, been investigated as a key component of academic learning and performance, academic emotions have often been left out of the scope of investigation. According to several researchers, mathematics learning seems to be particularly affected by students’ emotions.ObjectiveThis paper is aimed at characterizing the emotions and motivation of eighth grade students in a mathematical setting and highlighting the cluster of emotions–activity emotions vs outcome emotions–which best predict math value, math self-concept, behavioral engagement and math performance.MethodData were collected through questionnaires from 115 students and analyzed through means comparisons and linear regressions.ResultsResults indicated that eighth grade students give a relatively high value to mathematics have a positive mathematics self-concept and are moderately engaged in mathematical tasks. Regression analysis showed that mathematics value and behavioral engagement are better explained by activity emotions while mathematics self-concept and performance are better predicted by outcome emotions.ConclusionThe implications of these findings in terms of educational practices are discussed at the end of this study.     

Self-Concept,Motivational Orientation,and Help-Seeking Behavior in Mathematics: A Study of Adults Returning to High School

The purpose of this study was to explore relations between mathematics achievement, self-concept, goal orientation, intrinsic motivation, and help-seeking behavior among adults studying for a high school diploma. Participants in this study were 145 adults (55 males and 90 females) enrolled in nine first year high school classes for adult students at five high schools in three cities in Norway. The age of the students varied from 18 to 52 years. Data were analyzed by means of structural equation modeling. The results indicate that mathematics self-concept in adult years build strongly on achievement in school years and that it is predictive of adult students’ goal orientation, intrinsic motivation, and learning strategies. Three weakly correlated dimensions of goal orientation predicted interest and help-seeking behavior in mathematics lessons differently.     

Validation of Hayamizu and Weiner's Achievement Goal Questionnaire among Uruguayan university students

Abstract

The aim of this study is to confirm the factor structure of a self-report measure of achievement goal tendencies (Hayamizu & Weiner, 1991) described in previous research, and examine the reliability and validity of scores in a sample of Uruguayan university students. A theoretical three-factor model is proposed (learning, performance and outcome goals), as well as one-factor models for each goal. Confirmatory factor analyses show that all models are identified, and solutions are conceptually correct. Our results suggest that outcome goals could be split into two correlated sub-dimensions related to achievement time (short and long term goals). Concurrent and predicted validity were established through significant correlations with perceived ability and academic achievement respectively. Conceptualisation of these findings and suggestions for future research are discussed.     

The Influence of Relational Knowledge and Executive Function on Preschoolers’ Repeating Pattern Knowledge

Children’s knowledge of repeating patterns (e.g., ABBABB) is a central component of early mathematics, but the developmental mechanisms underlying this knowledge are currently unknown. We sought clarity on the importance of relational knowledge and executive function (EF) to preschoolers’ understanding of repeating patterns. One hundred twenty-four children aged 4 to 5 years old were administered a relational knowledge task, 3 EF tasks (working memory, inhibition, set shifting), and a repeating pattern assessment before and after a brief pattern intervention. Relational knowledge, working memory, and set shifting predicted preschoolers’ initial pattern knowledge. Working memory also predicted improvements in pattern knowledge after instruction. The findings indicated that greater EF ability was beneficial to preschoolers’ repeating pattern knowledge and that working-memory capacity played a particularly important role in learning about patterns. Implications are discussed in terms of the benefits of relational knowledge and EF for preschoolers’ development of patterning and mathematics skills.     

Investigating Links from Teacher Knowledge,to Classroom Practice,to Student Learning in the Instructional System of the Middle-School Mathematics Classroom

Using data collected in 125 seventh-grade and 56 eighth-grade Texas classrooms in the context of the “Scaling Up SimCalc” research project in 2005–07, we examined relationships between teachers’ mathematics knowledge, teachers’ classroom decision making, and student achievement outcomes on topics of rate, proportionality, and linear function—three important and cognitively demanding prealgebra topics. We found that teachers’ mathematical knowledge was correlated with student achievement in only one study out of three. We also found a lack of correlations between teachers’ mathematical knowledge and critical aspects of instructional decision making. Curriculum and other learning resources (e.g., technology, student–student interactions) are clearly important factors for student learning in addition to, and in interaction with, teachers’ mathematical knowledge. Our results suggest that mathematics knowledge for teaching may have a nonlinear relationship with student learning, that those effects may be heavily mediated by other instructional factors, and that short-term content knowledge gains in teacher workshops may not persist in classroom instruction. We discuss a need in the field for richer models of how “mathematical knowledge for teaching” works in the context of complete instructional systems.     

A causal model of mathematics performance in early adolescence: the role of sex

Using path analysis, the present investigation was done to clarify possible causal linkages among general scholastic aptitude, academic achievement in mathematics, self-concept of ability, and performance on a mathematics examination. Subjects were 122 eighth-grade students who completed a mathematics examination as well as a measure of self-concept of ability. Aptitude and achievement measures were obtained from school records. Analysis showed sex differences in prediction of performance on the mathematics examination. For boys, this performance could be predicted from scholastic aptitude and previous achievement in mathematics. For girls, performance only could be predicted from previous achievement in mathematics. These results indicate that the direction, strength, and magnitude of relations among these variables differed for boys and girls, while mean levels of performance did not.     

American and Chinese parental involvement in young children's mathematics learning

This study compared the involvement of American and Chinese mothers in their 5- and 7-year-old children's number learning in their everyday experience and during mother–child interaction on mathematics tasks pertaining to proportional reasoning. Results indicated that Chinese mothers of both the 5- and 7-year-old children were more likely to teach mathematics calculation in their everyday involvement with children's number learning than their American counterparts. No differences were found in maternal instruction between American and Chinese mothers during the mother–child interaction on mathematics tasks. However, maternal instruction was related to Chinese children's learning of proportional reasoning but negligibly related to American children's learning of proportional reasoning.     

Intentional joint agency: shared intention lite

Philosophers have proposed accounts of shared intentions that aim at capturing what makes a joint action intentionally joint. On these accounts, having a shared intention typically presupposes cognitively and conceptually demanding theory of mind skills. Yet, young children engage in what appears to be intentional, cooperative joint action long before they master these skills. In this paper, I attempt to characterize a modest or ‘lite’ notion of shared intention, inspired by Michael Bacharach’s approach to team–agency theory in terms of framing, group identification and team reasoning. I argue that the account of shared intentions this approach yields is less cognitively and conceptually demanding than other accounts and is thus applicable to the intentional joint actions performed by young children. I also argue that it has limitations of its own and that considering what these limitations are may help us understand why we sometimes need to take other routes to shared intentions.     

Academic achievement in the Chinese context: the role of goals, strategies, and effort

Previous studies have suggested that Western constructs of academic motivation may operate in different ways in Asian contexts due to differences in the cultural environment. In the present study, the integrative effects of achievement goals, strategy orientations, and effort expenditure on achievement outcomes were examined among 1950 seventh-grade Chinese students in Hong Kong. Participants completed separate questionnaires for mathematics and English. Results for the two subjects were largely similar. There were significant positive relationships between mastery and performance goals, between cooperative and competitive orientations, as well as between understanding and memorizing strategies. Regression analyses further revealed that goals and strategies were highly predictive of effort expenditure, but only goals and effort significantly predicted achievement outcome, with strategies being barely significant. The need to further investigate how Chinese students reconcile the apparently antithetical orientations in learning as well as the effective strategies contributing to their learning is indicated.     

Music training and mathematics achievement

Iowa Tests of Basic Skills (ITBS) mathematics scores of eighth graders who had received music instruction were compared according to whether the students were given private lessons. Comparisons also were made between students whose lessons were on the keyboard versus other music lessons. Analyses indicated that students who had private lessons for two or more years performed significantly better on the composite mathematics portion of the ITBS than did students who did not have private lessons. In addition, students who received lessons on the keyboard had significantly higher ITBS mathematics scores than did students whose lessons did not involve the keyboard. These results are discussed in relation to previous research on music training and mathematics achievement.     

Task‐ and self‐related pathways to deep learning: The mediating role of achievement goals,classroom attentiveness,and group participation

Background The expectancy‐value and achievement goal theories are arguably the two most dominant theories of achievement motivation in the contemporary literature. However, very few studies have examined how the constructs derived from both theories are related to deep learning. Moreover, although there is evidence demonstrating the links between achievement goals and deep learning, little research has examined the mediating processes involved. Aims The aims of this research were to: (a) investigate the role of task‐ and self‐related beliefs (task value and self‐efficacy) as well as achievement goals in predicting deep learning in mathematics and (b) examine how classroom attentiveness and group participation mediated the relations between achievement goals and deep learning. Sample The sample comprised 1,476 Grade‐9 students from 39 schools in Singapore. Methods Students' self‐efficacy, task value, achievement goals, classroom attentiveness, group participation, and deep learning in mathematics were assessed by a self‐reported questionnaire administered on‐line. Structural equation modelling was performed to test the hypothesized model linking these variables. Results and conclusions Task value was predictive of task‐related achievement goals whereas self‐efficacy was predictive of task‐approach, performance‐approach, and performance‐avoidance goals. Achievement goals were found to fully mediate the relations between task value and self‐efficacy on the one hand, and classroom attentiveness, group participation, and deep learning on the other. Classroom attentiveness and group participation partially mediated the relations between achievement goal adoption and deep learning. The findings suggest that (a) task‐ and self‐related pathways are two possible routes through which students could be motivated to learn and (b) like task‐approach goals, performance‐approach goals could lead to adaptive processes and outcomes.     

Study strategies and beliefs about learning as a function of academic achievement and achievement goals

Prior research by Hartwig and Dunlosky [(2012). Study strategies of college students: Are self-testing and scheduling related to achievement? Psychonomic Bulletin &; Review, 19(1), 126–134] has demonstrated that beliefs about learning and study strategies endorsed by students are related to academic achievement: higher performing students tend to choose more effective study strategies and are more aware of the benefits of self-testing. We examined whether students’ achievement goals, independent of academic achievement, predicted beliefs about learning and endorsement of study strategies. We administered Hartwig and Dunlosky’s survey, along with the Achievement Goals Questionnaire [Elliot, A. J., &; McGregor, H. A. (2001). A 2 × 2 achievement goal framework. Journal of Personality &; Social Psychology, 80, 501–519] to a large undergraduate biology course. Similar to results by Hartwig and Dunlosky, we found that high-performing students (relative to low-performing students) were more likely to endorse self-testing, less likely to cram, and more likely to plan a study schedule ahead of time. Independent of achievement, however, achievement goals were stronger predictors of certain study behaviours. In particular, avoidance goals (e.g., fear of failure) coincided with increased use of cramming and the tendency to be driven by impending deadlines. Results suggest that individual differences in student achievement, as well as the underlying reasons for achievement, are important predictors of students’ approaches to studying.     

Investigating the links between the subcomponents of executive function and academic achievement: a cross-cultural analysis of Chinese and American preschoolers

Little is known about how components of executive function (EF) jointly and uniquely predict different aspects of academic achievement and how this may vary across cultural contexts. In the current study, 119 Chinese and 139 American preschoolers were tested on a battery of EF tasks (i.e., inhibition, working memory, and attentional control) as well as academic achievement tasks (i.e., reading and mathematics). Results demonstrate that although working memory performance in both cultures was comparable, Chinese children outperformed American children on inhibition and attentional control tasks. In addition, the relation between components of EF and achievement was similar in the two countries. Working memory uniquely predicted academic achievement, with some intriguing patterns in regard to tasks requiring complex processing. Inhibition uniquely predicted counting but did not uniquely predict calculation. Attentional control predicted most aspects of achievement uniformly and was the most robust predictor for reading in both countries. In sum, the data provide insight into both cultural variability and consistency in the development of EF during early childhood.     

Cooperative learning and group contingencies

This paper discusses the similarities and differences between cooperative learning and group contingencies. Cooperative learning refers to any methods in which students work together to help one another learn, while group contingencies refer to rewarding students based on the performance of a group. Research on the achievement effects of cooperative learning finds that these methods are effective primarily when they incorporate group contingencies, when groups are rewarded based on the average of their members' individual learning performances. The use of group contingencies within cooperative learning is hypothesized to motivate students to do a good job of explaining concepts and skills to their groupmates, and elaborated explanation is the principal behavior found to account for achievement gains in cooperative learning.     

小学生学业负担与数学成绩的关系研究:基于潜在剖面分析

应用潜在剖面分析方法对广州市58所学校的六年级学生数学成绩进行潜在分类,并分析不同类别学生的学业负担状况。结果表明,学生样本按数学成绩可以分为三个类别:数学成绩良好组、数学成绩中等组、数学成绩较差组。此外,学业负担的轻重对不同数学成绩层次的学生会产生不同程度的影响。     

Bayesian analogy with relational transformations

How can humans acquire relational representations that enable analogical inference and other forms of high-level reasoning? Using comparative relations as a model domain, we explore the possibility that bottom-up learning mechanisms applied to objects coded as feature vectors can yield representations of relations sufficient to solve analogy problems. We introduce Bayesian analogy with relational transformations (BART) and apply the model to the task of learning first-order comparative relations (e.g., larger, smaller, fiercer, meeker) from a set of animal pairs. Inputs are coded by vectors of continuous-valued features, based either on human magnitude ratings, normed feature ratings (De Deyne et al., 2008), or outputs of the topics model (Griffiths, Steyvers, & Tenenbaum, 2007). Bootstrapping from empirical priors, the model is able to induce first-order relations represented as probabilistic weight distributions, even when given positive examples only. These learned representations allow classification of novel instantiations of the relations and yield a symbolic distance effect of the sort obtained with both humans and other primates. BART then transforms its learned weight distributions by importance-guided mapping, thereby placing distinct dimensions into correspondence. These transformed representations allow BART to reliably solve 4-term analogies (e.g., larger:smaller::fiercer:meeker), a type of reasoning that is arguably specific to humans. Our results provide a proof-of-concept that structured analogies can be solved with representations induced from unstructured feature vectors by mechanisms that operate in a largely bottom-up fashion. We discuss potential implications for algorithmic and neural models of relational thinking, as well as for the evolution of abstract thought.     

Academic resilience of immigrant youth in Greek schools: Personal and family resources

Abstract

This cross-sectional study examined, first, whether and how immigrant youth’s personal and family resources account for individual differences in their academic achievement, and second, whether social risks and immigrant status further contribute to academic achievement after controlling for these resources. The sample consisted of 300 middle school adolescents, 73 students from Albania and 227 Greeks (mean age 13.9 years), enrolled in Greek urban middle schools. Three risks (immigrant status, family social adversity and negative life events), two personal resources (locus of control and self-efficacy beliefs) and four family resources (parental school involvement, family support, father and mother education) for academic achievement were included. Each of these personal and family resources, separately, predicted higher academic achievement, equally for immigrant and nonimmigrant youth. Family social adversity, but not negative life events, continued to predict academic achievement, over and above personal and family resources. Finally, immigrant status continued to predict academic achievement over and above resources and other social risks. The results highlight the important link between the family context and youth’s personal agency, on the one hand, and doing well in school, on the other. However, they also reveal that social and immigrant status, two societal-level, social position variables that may also involve experiences that are outside the control of the family and youth, present further risks to youth’s academic achievement.