Modelling of factors influencing gender difference in mathematics achievement using TIMSS 2011 data for Singaporean eighth grade students

Numerous studies have attributed gender difference in mathematics achievement to various sociocultural influences. Singapore is a country of higher gender equality as represented in the Global Gender Gap Index and Singaporean girls perform as well or higher than boys in international mathematics assessments. This study develops a conceptual model to examine the relationship and effects of parental involvement in education, teacher efficacy, and students’ attitudes towards mathematics on mathematics achievement for Singaporean eighth grade students using Trends in International Mathematics and Science Study (TIMSS) 2011 data. The study finds that there is no significant gender difference in parental involvement in education and teacher efficacy and there is no gender difference in the attitude of like learning mathematics among Singaporean eighth grade students. The attitude of confidence in mathematics has positive and significant effect on mathematics achievement and the effect is greater for girls than boys. Parental involvement in education and teacher efficacy were found to have greater effect on girls’ confidence in mathematics than on boys’. As such, increasing involvement in mathematics education and providing positive reinforcement to raise girls’ self-confidence in mathematics by parents and teachers should be an integral part of any initiative to reduce gender gap in mathematics achievement.     

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.     

Development of low-stakes mathematics and literacy test scores during lower secondary school – A multilevel pattern-centered analysis of student and classroom differences

The development of students’ learning and test-taking behavior may derive from the social context and the group of peers they associate with daily for years. Consequently, it is assumed that students’ academic achievements are to some degree affected by their classmates and the composition of the classroom. The present study provides evidence on how Finnish students (N = 5071) from different classrooms (N = 435) develop distinct patterns regarding their mathematics and literacy achievement during lower secondary school. We analysed longitudinal large-scale educational assessment data using a multilevel latent profile analysis (MLPA) to investigate the impact of classroom effect on students’ achievement patterns, that is, on the development of students’ low-stakes mathematics and literacy test scores from 7th to 9th grade. The results demonstrated the added value of modelling the multilevel structure inherent in educational assessment data: we identified four student achievement patterns that displayed different distributions across the school classes. More precisely, besides individual characteristics, the development of students’ low-stakes mathematics and literacy test scores was associated with class-level factors and some of the classrooms seemed to have a stronger effect on students’ test scores. These results suggest that classroom context is associated with students’ achievement patterns, especially regarding the worst achieving students. The findings may reflect a combination of class placement practices as well as classroom and peer effect. Although the differences between Finnish schools have been one of the lowest in the OECD countries, the findings of the present study suggest that the classroom membership may create class level quality differences in both the preconditions and the development of learning.     

Student Motivation and Learning in Mathematics and Science: A Cluster Analysis

The present study focused on an in-depth understanding of student motivation and self-regulated learning in mathematics and science through cluster analysis. It examined the different learning profiles of motivational beliefs and self-regulatory strategies in relation to perceived teacher autonomy support, basic psychological needs (i.e. autonomy, competence, and relatedness), motivational regulations, and academic achievement. Grounded in self-determination theory, this study examined the learning profiles of 782 students from eight secondary schools in Singapore. The cluster analyzes revealed four distinct learning profiles, and they were compared in association with perceived teacher autonomy support, needs satisfaction, motivational regulations, and grades. Cluster profiling enables teachers to have better understanding of their students’ self-regulated learning so that they can apply effective teaching strategies to foster their motivation. The findings offer a perspective to secondary students’ psychological needs along with some insights into their perceived task value and self-efficacy in the contexts of mathematics and science.     

Effects of flipped classrooms integrated with MOOCs and game-based learning on the learning motivation and outcomes of students from different backgrounds

ABSTRACT

This study aimed to investigate the effect of flipped classrooms integrated with massive open online courses (MOOCs) and game-based learning on the learning motivation and learning outcomes of students from different backgrounds (in terms of gender, grade, self-confidence indicators in mathematics, and roles played in the game-based learning process). Surveys and a semi-structured open questionnaire were used for data collection, including a basic information questionnaire (to understand the participants’ backgrounds), a questionnaire on learning motivation (the Motivated Strategies for Learning Questionnaire, MSLQ), a test of learning achievements in mathematics, and a semi-structured open-ended questionnaire (to understand the learners’ feelings). Quantitative analysis results showed that flipped classrooms integrated with MOOCs and game-based learning can enhance students’ learning motivation and outcomes. Specifically, compared with students with high self-confidence in learning mathematics, students with low and medium levels of self-confidence showed significantly greater improvement in overall learning motivation. Significantly more enhancements were found for the expectation component of “soldiers” (students with relatively lower learning achievements) than for “generals” (students with higher learning achievements). Furthermore, students in the eighth grade showed significantly greater progress in academic performance than did students in the seventh grade.     

Students’ Motivation in the Mathematics Classroom. Revealing Causes and Consequences

Students’ affective domain has been popular in the mathematics education community in an ongoing attempt to understand students’ learning behavior. Specifically, enhancing students’ motivation in the mathematics classroom is an important issue for teachers and researchers, due to its relation to students’ behavior and achievement. This paper utilized achievement goal theory—an important theoretical prospect on students’ motivation in school settings—to investigate the existence of a model presenting the relation between motivation and other affective constructs and students’ performance in mathematics. In this regard, two types of tests were administered to 321 sixth grade students measuring their motivation and other affective constructs and their performance in mathematics. Using structural equation modeling, we examined the associations among the affective constructs, motivation, and the extent to which these constructs influence students’ performance and interest in mathematics. The data revealed that students’ performance and their interest in mathematics were influenced by fear of failure, self-efficacy beliefs, and achievement goals. We discuss these findings in terms of teaching implications in the mathematics classroom.

     

Students’ Motivation in the Mathematics Classroom. Revealing Causes and Consequences

Students’ affective domain has been popular in the mathematics education community in an ongoing attempt to understand students’ learning behavior. Specifically, enhancing students’ motivation in the mathematics classroom is an important issue for teachers and researchers, due to its relation to students’ behavior and achievement. This paper utilized achievement goal theory—an important theoretical prospect on students’ motivation in school settings—to investigate the existence of a model presenting the relation between motivation and other affective constructs and students’ performance in mathematics. In this regard, two types of tests were administered to 321 sixth grade students measuring their motivation and other affective constructs and their performance in mathematics. Using structural equation modeling, we examined the associations among the affective constructs, motivation, and the extent to which these constructs influence students’ performance and interest in mathematics. The data revealed that students’ performance and their interest in mathematics were influenced by fear of failure, self-efficacy beliefs, and achievement goals. We discuss these findings in terms of teaching implications in the mathematics classroom.     

Effects of grade retention on achievement and self-concept in science and mathematics

The study analyzes the effects of grade repetition on science and mathematics achievement and on self-concept in mathematics using longitudinal data from a representative sample of 9th graders in Germany. Same-age comparisons were applied between three groups: (a) the retained students, (b) a matched group of promoted students, and (c) the entire group of promoted students. The results show that the retained students have a higher self-concept in mathematics after one year of retention than before. Summarizing these empirical findings concerning achievement, we conclude that retention in the 9th grade does not reduce the gap in academic achievement to the regular promoted students.     

Stimulating positive emotional experiences in mathematics learning: influence of situational and personal factors

The study aims to assess the relative importance of a large number of variables for predicting students’ positive-activating emotions during mathematics learning. Participants were 668 first-year upper secondary school students from 33 schools of different sizes and locations. Two questionnaires were distributed, one assessing students’ perceptions and beliefs about their learning situation in mathematics in general, and the other assessing the characteristics of a particular mathematics lesson and the students’ emotional experiences during this lesson. Single-construct and multivariate models for predicting students’ emotions were computed. The results show that the multivariate models were the most efficient, predicting as much as 59 % of the variance in students’ emotional experiences. The two most important constructs were students’ type of motivation and perceived degree of learning, which together predicted 48 % of the students’ emotions. Single-construct models predicted, at most, 36 %. The relative and absolute predictive ability of different motivational constructs are reported. The relationships between constructs and their implications for teaching are discussed.     

The effects of parental involvement on students’ academic self‐efficacy,engagement and intrinsic motivation

This research examined whether various dimensions of parental involvement predicted 10th‐grade students’ motivation (engagement, self‐efficacy towards maths and English, intrinsic motivation towards maths and English) using data from the Educational Longitudinal Study of 2002 (ELS 2002). Results showed that both parents’ educational aspiration for their children and school‐initiated contact with parents on benign school issues had strong positive effects on all five motivational outcomes. On the contrary, parent–school contact concerning students’ school problems was negatively related to all five motivational outcomes investigated in the study. Additionally, parental advising positively predicted students’ academic self‐efficacy in English as well as intrinsic motivation towards English, and family rules for watching television were positively linked to students’ engagement and intrinsic motivation towards both English and maths.     

Supporting Latino high school students’ science motivational beliefs and engagement: examining the unique and collective contributions of family,teachers, and friends

Abstract

High school underrepresented minority students in the US are at an increased risk of dropping out of the STEM pipeline. Based on expectancy-value theory, we examined if Latino students’ perception of support from parents, siblings/cousins, teachers, and friends in 10th grade predicted their science ability self-concepts and values, which in turn predicted their classroom engagement. Survey data were collected from 104 Latino high school students and their science teachers. The findings suggest that adolescents’ perceptions of overall support and home-based support predicted adolescents’ science ability self-concepts at 10th grade while controlling for their 9th grade self-concepts. Although adolescents reported high support from teachers, teacher or school-based support alone was not a strong correlate of their motivational beliefs. Perceived support was indirectly related to classroom engagement through adolescents’ ability self-concepts. Feeling supported across home and school may be necessary to sustain adolescents’ science motivational beliefs and, in turn, their science classroom engagement.     

Relationship between Science Teaching Practices and Students’ Achievement in Singapore,Chinese Taipei,and the US: An Analysis Using TIMSS 2011 Data

The assumption that inquiry-based instruction is more effective in influencing student science achievement than traditional didactic teaching has been the driving force of science education reform in recent decades and in many countries. However, the empirical relationship between these two kinds of science teaching and student science performance is not soundly established, which is worth a careful examination. Framed through the theoretical perspectives of inquiry-based instruction and culturally relevant pedagogy, using a two-level hierarchical linear modeling (HLM) approach and simultaneous multiple regression, this study examines the above relationship using the Trends in International Mathematics and Science Study (TIMSS) 2011 8th grade dataset from Singapore, Chinese Taipei, and the US. The study found that for the low-performing students, none of the inquiry-based teaching practice items measured had a significant relationship with the science achievements at any performance levels of students in any country/region except for the case of two inquiry-based teaching practice items that were positively related to Chinese Taipei students’ achievements. No didactic teaching practice items were associated with the Singapore students’ science achievement, three of these practice items were found negatively related to Chinese Taipei students’ science achievement, and one traditional didactic teaching practice was negatively related to the science achievement of U.S. students. However, for medium- and high-performing students, none of these inquiry-based or traditional didactic science-teaching practices were found to be positive predictors of science performance in all three countries/regions. However, in the case of Chinese Taipei, one didactic teaching practice item was negatively related with the medium level performing students’ achievement and two didactic teaching practices were found to hinder high-performing students’ science achievements.     

Trajectories of self-perceived math ability,utility value and interest across middle school as predictors of high school math performance

Although many studies have documented developmental change in mathematics motivation, little is known about how these trends predict math performance. A sample of 288 participants from the United States reported their perceived math ability, math utility value and math interest in 5th, 7th and 9th grades. Latent growth curve models estimated developmental trajectories in each of these constructs. Mathematics interest and utility value decreased across time, but there was no significant change in self-perceived math ability. Slopes and intercepts of all mathematics motivation variables correlated with one another. Even when controlling for prior mathematics performance, students who self-reported high math ability in 5th grade had higher standardised test scores than their peers in high school five years later. Neither math utility value nor math interest intercepts or slopes predicted later performance. Understanding the predictors of math performance is important for supporting students’ success in science, technology, engineering and mathematics careers.     

Got math attitude? (In)direct effects of student mathematics attitudes on intentions,behavioral engagement,and mathematics performance in the U.S. PISA

Academic performance is predicted by a multitude of demographic, contextual, cognitive, and noncognitive factors. The noncognitive factors predicting achievement in mathematics that have previously been investigated in depth are study skills, confidence, self-efficacy, and personality traits (Kyllonen, 2012). Limited applied research has explored the predictive value of attitudes and beliefs in mathematics achievement using representative data of U.S. students. The current study uses the theory of planned behavior (TPB) to explain high school students’ performance in mathematics in large-scale assessment data by using the PISA 2012. Along with key demographic factors, results indicated that students’ attitudes, subjective norms, and perceived behavioral control beliefs explained 21.1% of the variability in intentions to pursue and major in mathematics in the future, 59.4% of the variability in behavioral engagement with mathematics learning, and 30.7% of the variability in mathematics performance.The study results have implications on: (1) the applicability of an attitude-behavior framework in educational research for understanding academic performance, (2) the importance of perceived control and self-efficacy beliefs for predicting behavioral engagement in mathematics (e.g., paying attention in class, completing homework, studying for exams) and subsequent mathematics performance, and (3) the practical significance of students’ attitude towards mathematics on their intentions to pursue mathematics coursework in post-secondary education and possess math-relevant career aspirations.     

Effects of Background and School Factors on the Mathematics Achievement

Using a structural equation model, this research study investigated the mathematics achievement of 8th grade students in Cyprus enrolled in the year 1994–1995. The model contained 2 exogenous constructs – the educational background of the family and the reinforcement from mother, friends and the individual himself; and 5 endogenous constructs – socioeconomic status (SES), and student attitudes toward mathematics, teaching, school climate, and beliefs related to success in mathematics. The study demonstrated that although attitudes, teaching, and beliefs had direct effect on mathematics outcomes, they were not statistically significant. It was also found that family educational background directly affected SES, attitudes toward mathematics, school climate and beliefs related to success in mathematics. Reinforcement exerted a direct effect on attitudes, teaching and beliefs regarding success. There was also evidence that SES directly affects school climate and that teaching directly affects attitudes toward mathematics.     

Goal importance and students at risk of having language difficulties: an underexplored aspect of student motivation

The purpose of this study was to compare the motivational determinants of students at risk of language difficulties (in reading and spelling) and students with high language skills. Teachers' evaluations in language and mathematics at the end of the academic year constituted the dependent variable. Motivational orientations were examined using the constructs that reflect the theory of planned behavior and goal importance. Participants were 202 elementary school students-22 at risk of language difficulties and 180 with high language skills-drawn from 30 elementary schools in northern Greece. The results indicated that the two groups differed significantly, with the at-risk students exhibiting significantly lower perceptions of goal importance, intention to achieve, belief strength, outcome evaluation, and normative beliefs, and eventually scoring lower in language and mathematics at the end of the academic year. A finer analysis of students' motivational orientations was conducted using covariance structural modeling (CSM) and EQS 5.7b. The planned behavior model with goal importance produced a comparative fit index (CFI) of 1.00 in language and mathematics for the at-risk group. The respective CFIs for the high language skills group were .97 and 1.00 in language and mathematics, respectively. Although model fit was excellent across samples, different weights and signs linking motivational orientations to achievement partly explained the observed differences in language and mathematics manifested in the two groups.     

Contextual differences in student motivation and self-regulated learning in mathematics,English, and social studies classrooms

Recent research on self-regulated learning has stressed the importance of both motivational and cognitive components of classroom learning. Much of this research has examined these components without consideration of potential contextual differences. Using a within-subject correlational design, the present study assessed mean level differences in students' task value, self-efficacy, test anxiety, cognitive strategy use, regulatory strategy use, and classroom academic performance by gender and across the subject areas of mathematics, social studies, and English. In addition, the relations among the motivational, strategy use, and performance measures were assessed using multivariate regressions. The participants were 545 seventh and eighth grade students (51% females) who responded to a self-report questionnaire. Results revealed mean level differences by subject area and gender in the motivation and cognitive strategy use variables, but not in regulatory strategy use or academic performance. In contrast, results indicated that the relations among these constructs was very similar across the three subject areas examined. Findings are discussed in terms of their importance for understanding the contextual nature of students' self-regulated learning.     

STEM Motivation Interventions for Adolescents: A Promising Start,but Further to Go

One way to increase students’ participation in science, technology, engineering, and mathematics (STEM) fields is to target their motivation. Researchers have conducted a growing number of interventions addressing students’ motivation in STEM; however, this body of work has not been adequately reviewed. We systematically reviewed experimental and quasi-experimental studies (n = 53) targeting adolescent students’ motivation for STEM subjects. While some interventions showed positive effects on a variety of motivational constructs and academic outcomes, others showed mixed or non-significant effects. We recommend that researchers more frequently examine moderating variables that might limit interventions’ results, including individual-level variables such as gender, contextual-level variables such as the subject in which an intervention was conducted, and design-level variables such as intervention length. Additionally, researchers might better align their interventions with motivation theory. Future research should address these limitations so that the results of successful interventions can better inform educational policy and practice.     

Opportunities to learn: Mathematics textbooks and students’ achievements

This study explores how textbooks function in education. It asked whether opportunities provided in math textbooks to engage in tasks demanding different levels of understanding correlate with students’ achievements on tasks demanding equivalent levels of understanding on a standardized exam. The textbooks evaluated were two 8^th grade mathematics textbooks used by students in the Arab community in Israel, showing that Textbook A makes more cognitive demands than Textbook B. The study correlated textbooks’ cognitive demand with the scores of all 8^th grade students in the Arab community who completed the national math test in 2015 and studied in schools using either Textbook A or B (N = 4040), while attending to mediating variables. The findings show that if a textbook provides the opportunity to engage in tasks demanding higher levels of understanding, students using this book will have higher scores. The study shows that gender and SES play an important role in how opportunities provided in textbooks interact with students’ scores. Many factors influence variations in mathematics achievements within and between nations. The findings illuminate textbooks’ ability to provide opportunities to learn mathematics. As a result, they raise new questions about how teachers use textbooks and about the role of textbooks in promoting access and equity in mathematics education. Although the work explored specific textbooks, its findings shed light on how learning opportunities relate to achievements more generally.