The relation between classroom management and mathematics achievement: A multilevel structural equation model

The impact of teachers on their students’ academic achievement continues to be an area of inquiry. One area not fully explored is the relation between teachers’ behavior and classroom management (CM) skills, student motivation, and student achievement. We examined these relations using a multi‐level structural equation model. Data included Behavior Management subscale scores of the Classroom Assessment Scoring System for 247 fourth and fifth grade teachers, indicators of academic motivation, and end‐of‐year state standardized mathematics assessment results for 4,847 students from the National Center of Teacher Effectiveness Main Study. The results indicate teachers’ CM skills have a significant direct effect on student motivation and a significant indirect effect on students’ math achievement, suggesting that students in classrooms of teachers with better CM are more motivated to learn math and have higher math achievement scores. This underscores the importance of helping teachers increase their use of evidence‐based classroom management techniques.     

Self-regulation of homework behaviour: relating grade,gender, and achievement to homework management

Abstract

The present investigation linked grade, gender, and maths achievement to homework management strategies using data from 305 Chinese students in grades 7, 8, and 9. These strategies included arranging the environment, managing time, handling distraction, monitoring motivation, and controlling potentially interfering emotion. A three-way MANOVA examined the effects of grade, gender, and maths achievement on homework management strategies. Grade or gender was not related to homework management strategies. Meanwhile, high-achieving students (compared with low-achieving students) were more likely to arrange the environment, manage time, handle distraction, monitor motivation, and control negative emotion.     

The relationship between formative assessment and reading achievement: A multilevel analysis of students in 19 countries/regions

Despite the general consensus on the positive impact of formative assessment on student learning, researchers have not shown the underlying mechanisms between specific formative assessment strategies and academic performance on an international sample. This study examines the link between student and teacher reports of teachers’ formative assessment strategies (i.e. clarifying goals and monitoring progress, providing feedback, and instructional adjustments) and students’ reading achievement, based on data from 151,969 fifteen-year-olds in 5,225 schools in 19 countries/regions in PISA 2018 via multilevel analysis of plausible values. The results show that clarifying goals and monitoring progress, and instruction adjustments are positively linked to reading achievement, but providing feedback alone has no significant impact. These findings highlight the complexity of formative assessment as a multifaceted concept and the different impacts of formative assessment strategies on student learning. Implications for researchers and practitioners are discussed.     

Mathematics achievement in high- and low-achieving secondary schools

This paper identifies the amount of variance in mathematics achievement in high- and low-achieving schools that can be explained by school-level factors, while controlling for student-level factors. The data were obtained from 2679 Iranian eighth graders who participated in the 2007 Trends in International Mathematics and Science Study. Of the total sample, 1422 and 1257 students were from high- and low-achieving schools, respectively. Two-level hierarchical linear modelling was applied. The results indicated that of the total variance in mathematics achievement, 27.95 and 6.70% were due to between-school differences in the high- and low-achieving schools, respectively. Controlling for the school-level factors, the better-performing students were those with a higher level of confidence in learning mathematics in both samples. After controlling for the student-level factors, inadequacies in school resources and school type yielded the strongest link to achievement in the high- and low-achieving schools, respectively.     

Class size effects on mathematics achievement in Cyprus: evidence from TIMSS

Class size reduction has been viewed as one school mechanism that can improve student achievement. Nonetheless, the literature has reported mixed findings about class size effects. We used 4th- and 8th-grade data from TIMSS 2003 and 2007 to examine the association between class size and mathematics achievement in public schools in Cyprus. We employ instrumental variables methods, and take advantage of a regression discontinuity design to examine causal effects of class size on mathematics achievement. The results indicate a non-significant relationship between class size and mathematics achievement in 8th grades. However, there is evidence of positive class size effects in 4th grade. The gender gap is significant and favoured males in 4th grade and females in 8th grade. SES indexes such as parental education and items in the home are positively and significantly related to mathematics achievement. Teacher and school variables are not significantly related with mathematics achievement.     

The Relationship Between Homework and Achievement—Still Much of a Mystery

Despite the long history of homework and homework research, the role that homework plays in enhancing student achievement is, at best, only partly understood. In this review, we give an overview of twentieth-century homework research and discuss the reasons why the relationship between homework and achievement remains unclear. We identify the operationalization of homework and achievement and the problematic handling of hierarchically ordered data as two important factors affecting the validity of many of the studies performed over the last century. We then describe a new generation of homework studies using multilevel modeling to deal with hierarchically nested data. Finally, we argue that homework research should be more closely connected to well-founded psychological theories of learning and instruction, and we offer three potential links (theories of instruction time, self-regulation theory and expectancy-value theory, and teaching behavior).     

The relationship between math anxiety and math achievement in young children is mediated through working memory,not by number sense,and it is not direct

Math anxiety is considered a predictor of math achievement, although the cognitive mechanism whereby math anxiety impairs math achievement is unclear. The paper presents the results of cross-sectional (N = 241) and longitudinal (N = 369) studies conducted among early school-aged children on the cognitive mechanism whereby math anxiety impairs math achievement. The following hypotheses were tested: (1) math anxiety directly affects math achievement; (2) in accordance with processing efficiency and attentional cognitive theories, math anxiety indirectly affects math achievement through working memory; (3) in accordance with the cognitive deficit model, math anxiety indirectly affects math achievement through number sense. The results mostly confirm the mediating role of working memory and undermine the mediating role of number sense and the direct path in the relationship between math anxiety and math achievement. Because previous studies undertaken in adults show the direct path from math anxiety to math achievement and the role of symbolic number processing in explaining the relationship between the two, the methodological and developmental aspects of the obtained results are discussed in the paper.     

The achievement gap: The impact of between-class attainment grouping on pupil attainment and educational equity over time

Despite extensive research on attainment grouping, the impact of attainment grouping on pupil attainment remains poorly understood and contested. This paper presents evidence from a study conducted with 2944 12–13 year olds, from 76 schools in England, who were allocated to between-class attainment groups (‘setting’) in English and mathematics over the first 2 years of secondary schooling. After controlling for prior attainment, pupils in the top set performed significantly better than pupils in the middle and bottom sets in both English and mathematics. The findings indicate a widening gap in attainment, especially in the case of English. Findings, especially in the case of mathematics, provide more evidence of a relative benefit for pupils placed in top sets than a relative detriment for those in bottom sets.     

The relationship between homework and the academic progress of children in Spain during compulsory elementary education: A twin fixed-effects approach

Homework has traditionally been considered positive for students’ academic achievement, to the extent that it makes children more responsible while learning. Nevertheless, making students do a large amount of homework has been one of the most criticised practices in recent years. Parental associations have long held the view that Spanish elementary school pupils spend too much time on homework. This situation is so alarming that it has recently caused a ‘homework strike’, which has been supported by many children's parents. Furthermore, being assigned an excessive amount of homework is a serious problem which extends well beyond Spain. In light of this context, this article aims to provide new evidence on the relationship between homework and academic performance. To carry out this research, rich longitudinal census data, together with a twin fixed-effects approach and value-added models, have been used. In this way, we can control for variables that are the same within twins, allowing us to generate a better understanding of the association between homework time and primary children's academic achievement. Our main finding is that homework is not associated with young people's academic achievement (at least within this specific country context).     

The impacts of student-, teacher- and school-level factors on mathematics achievement: an exploratory comparative investigation of Singaporean students and the USA students

Reports from the Trends in International Mathematics and Science Study (TIMSS) consistently show that there is a substantial gap in average mathematics achievement between Singapore and the USA. This study conducts an exploratory comparative investigation on the multilevel factors influencing the mathematics achievement of students from these two countries. A conceptual framework together with an integrated model is proposed for the analysis. The TIMSS 2011 eighth grader mathematics data were chosen for this study. Results reveal that the common features influencing mathematics achievement for the students of both countries are student self-confidence, school composition by student background and teacher confidence in teaching mathematics. The cause of the different effects of American students’ mathematics achievement is more associated with resources, whereas the effects of Singaporean students’ mathematics achievement are more related to attitudes, expectations and motivations. The major elements that affect Singaporean student mathematics performances are at the teacher level. Suggestions for future research are discussed.     

The association between homework and primary school children's academic achievement. International evidence from PIRLS and TIMSS

The association between time devoted to homework and children's academic achievement has long been an issue of great debate. A small number of mainly correlational studies have been conducted into this issue in a primary school setting, but have produced somewhat mixed results. In this paper we contribute to this literature by investigating the relationship between time spent upon homework and children's outcomes across 24 countries. By using a student fixed-effects approach, capturing differences in homework time amongst the same student across different school subjects, we argue that our results are likely to be subject to less confounding than much of the existing literature. We find little evidence that the amount of homework time primary school children are assigned is related to their academic achievement. This holds true across a large number of countries, survives various robustness tests and does not vary by gender or socio-economic status. We interpret this finding as suggesting that the homework assigned to primary school pupils may not be adequate to produce a positive association, and needs be improved if this time-consuming activity is ever going to bring benefits for children's academic achievement.     

comparison of three growth modeling techniques in the multilevel analysis of longitudinal academic achievement scores: Latent growth modeling, hierarchical linear modeling, and longitudinal profile analysis via multidimensional scaling

This study introduces three growth modeling techniques: latent growth modeling (LGM), hierarchical linear modeling (HLM), and longitudinal profile analysis via multidimensional scaling (LPAMS). It compares the multilevel growth parameter estimates and potential predictor effects obtained using LGM, HLM, and LPAMS. The purpose of this multilevel growth analysis is to alert applied researchers to selected analytical issues that are required for consideration in decisions to apply one of these three approaches to longitudinal academic achievement studies. The results indicated that there were no significant distinctions on either mean growth parameter estimates or on the effects of potential predictors to growth factors at both the student and school levels. However, the study also produced equivocal findings on the statistical testing of variance and covariance growth parameter estimates. Other practical issues pertaining to the three growth modeling methods are also discussed.     

Modeling achievement in mathematics: the role of learner and learning environment characteristics

This study examined a structural model of mathematics achievement among Druze 8th graders in Israel. The model integrates 2 psychosocial theories: goal theory and social learning theory. Variables in the model included gender, father's and mother's education, classroom mastery and performance goal orientation, mathematics self-efficacy and self-regulated learning, mastery and performance goals, and mathematics achievement. Data on learner and learning environment variables and achievement in mathematics were collected from 273 boys and girls. Results indicate appropriate fit of the model for the entire sample. Invariance analysis across gender indicated that only 2 of the 11 path coefficients, mother's education on mathematics achievement and classroom mastery goal orientation on self-regulation, were not invariant across gender. The same pattern of relationships accounted for different amounts of variance in mathematics achievement for boys and girls.     

The structural relationship between writing attitude and writing achievement in first and third grade students

This study tested three models of the structural relationship between the writing achievement of primary grade students and their attitude towards writing (defined here as an affective disposition involving how the act of writing makes the author feel, ranging from happy to unhappy). The three models tested were: (a) writing attitude influences writing achievement in a unidirectional manner, (b) writing achievement influences writing attitude in a unidirectional manner, and (c) the effects of writing attitude and achievement are bidirectional and reciprocal. The model that best fit the data was based on the assumption that writing attitude influences writing achievement. In addition, the direct path between attitude and achievement in this model was statistically significant. Although third grade students were better writers than first grade students, there was no statistical difference in younger and older students’ attitude towards writing. In addition, girls were more positive about writing than boys, but there was no statistical difference in their writing achievement related to gender. This research extends models based on the cognitive and language processes of writing to include the role of attitude, which is an affective component of motivation.     

Qualitative review synthesis: the relationship between inattention and academic achievement

Background: A body of literature has emerged that links inattentive symptoms of attention deficit hyperactivity disorder (ADHD) to poor academic achievement. Major variation across studies renders conclusions about this relationship complex.

Purpose: This review will provide a qualitative synthesis of these studies that (1) use community samples and (2) examine inattention as a separate dimension from hyperactivity/impulsivity. The aim of this review is to ascertain whether the relationship documented between inattention and academic outcomes in ADHD also holds for the dimensional trait of inattention as manifest in non-clinical community samples of children and adolescents, taking into consideration both academic achievement and academic performance across age.

Design and methods: A comprehensive search was carried out using two databases. The PRISMA guidelines were used to report the search steps. The QUIPS tool was used to rate the quality of studies, followed by a best evidence synthesis to summarise these results.

Results: Out of 1748 citations found, 27 articles met the specific inclusion criteria. Results point to a strong effect according to the best evidence synthesis: 7 studies that have low risk of bias found that teacher-rated inattention is significantly predicative of poor academic achievement in community samples of children.

Conclusions: This review provides support for a consistent, negative relationship between classroom inattention as reported by teachers and both standardised academic test achievement and classroom performance outcomes for children in preschool (moderate evidence), elementary school and longitudinally from elementary to high school. The average relationship was stronger when classroom performance was measured, as compared to standardised achievement. However, the quantitative strength of relationship has not been confirmed with a meta-analysis due to heterogeneity and too few high-quality studies identified. Variance across the studies in terms of the strength of association suggests that other unexamined factors (e.g. cognitive function or motivation) may be contributing to this relationship. Implications for educators and clinicians who work within the school setting are discussed.     

The magic of hope: Hope mediates the relationship between socioeconomic status and academic achievement

Two studies examined whether hope partially mediates the relationship between socioeconomic status (SES) and academic achievement. Guided by recent theoretical formulations about social class and the social cognitive process, in Study 1 a mediational pathway from SES to academic achievement via hope was documented in a diverse sample of adolescents. The mediational pathway was replicated in Study 2 in a minority sample of high school students. In both studies, hope was found to partially mediate the relationship between SES and grade point average. In addition, the unique contribution of hope to academic achievement replicated across the 2 studies, indicating that the additional stressors and challenges associated with being a minority did not affect the mediation. These results have implications for achievement gap interventions.     

Examining the mediating effect of science self-efficacy on the relationship between metavariables and science achievement

Current studies reveal that meta-level variables are very important in learning; however, little research has been devoted to the role of metaconceptual and meta-affective variables on student achievement. With the aim of filling this gap in the literature, the present study investigated the relationship between metavariables (metaconceptual awareness, metaconceptual regulation, affective awareness, and affective regulation) and science achievement with the mediating effect of science self-efficacy through structural equation modeling. A total of 576 eighth grade students participated in the study. Results indicated that science self-efficacy partially mediated the relationship that metaconceptual regulation and affective regulation have with science achievement. In other words, students who monitor and evaluate their existing conceptions and follow, control, and adapt their emotions are likely to have high science self-efficacy and then high science achievement. In addition, metaconceptual awareness, metaconceptual regulation, and affective regulation positively predicted science self-efficacy, which was itself a positive predictor of science achievement. The findings imply that metavariables are essential components of science achievement via self-efficacy.     

The consequences of “school improvement”: Examining the association between two standardized assessments measuring school improvement and student science achievement

For more than half a century concerns about the ability of American students to compete in a global workplace focused policymakers' attention on improving school performance generally, and student achievement in science, technology, engineering, and mathematics (STEM) specifically. In its most recent form—No Child Left Behind—there is evidence this focus led to a repurposing of instructional time to dedicate more attention to tested subjects. While this meant a narrowing of the curriculum to focus on English and mathematics at the elementary level, the effects on high school curricula have been less clear and generally absent from the research literature. In this study, we sought to explore the relationship between school improvement efforts and student achievement in science and thus explore the intersection of school reform and STEM policies. We used school‐level data on state standardized test scores in English and math to identify schools as either improving or declining over three consecutive years. We then compared the science achievement of students from these schools as measured by the ACT Science exams. Our findings from three consecutive cohorts, including thousands of high school students who attended 12th grade in 2008, 2009, and 2010 indicate that students attending improving schools identified by state administered standardized tests generally performed no better on a widely administered college entrance exam with tests in science, math and English. In 2010, students from schools identified as improving in English scored nearly one‐half of a point lower than their peers from declining schools on both the ACT Science and Math exams. We discuss various interpretations and implications of these results and suggest areas for future research. © 2012 Wiley Periodicals, Inc. J Res Sci Teach 49: 804–830, 2012     

The relationship between departments as professional communities and student achievement in secondary schools

Secondary school teaching is organized in departments and effective departments functioning as collaborative teams have been associated with effective schools. Therefore, this study investigates the relationship of mathematics departments perceived as professional communities and student achievement in Dutch secondary schools. Cluster analysis and hierarchical linear modeling (HLM) were used on a sample of around 3000 students, 130 schools, and 130 teachers that participated in this study (TIMSS-2003 data). The significant effects found (effect size >.20) show that those departments that focus on reflective dialogue, collaborative activity, shared vision and student achievement are associated with successful schools and higher student achievement.     

The contribution of TIMSS to the link between school and classroom factors and student achievement

Worldwide, the interest of policy-makers in participating in studies from the International Association for the Evaluation of Educational Achievement (IEA), such as Trends in International Mathematics and Science Study (TIMSS) has been growing rapidly over the past two decades. These studies offer the opportunity to relate the teaching and learning context to student achievement. This article presents the results of a systematic review of the research literature on TIMSS. Its main purpose is to find out to what extent TIMSS has contributed to insights into ‘what works in education and what does not’, particularly with regard to school and classroom factors. The review was guided by a generic framework developed within the tradition of educational effectiveness research. The review showed that: (a) since 2000, the number of publications which use TIMSS data for secondary analyses aimed at explaining differences in student achievement has increased strongly; (b) a number of studies, especially older ones, did not take account of the specific sample and test design of TIMSS; and (c) there are large differences between countries in school and classroom factors associated with student achievement. In the light of these results, we discuss the benefits and limitations of country and system comparisons.