Mathematics Self-concept Research Articles

The importance of mathematics self-concept and self-efficacy for mathematics achievement: A comparison between public and independent schools in Sweden

This study investigates the relationships between students’ self-concept, self-efficacy, and achievement in mathematics, considering contextual factors such as socioeconomic status, gender, and immigration background, by using Swedish data from PISA 2003 and 2012. Additionally, these relationships between the two types of schools in Sweden are compared. In Sweden, the school system generally includes municipally-run schools (public) and independent schools (also funded by the state but run privately). Findings indicate a positive correlation between robust mathematics self-concept and self-efficacy and enhanced mathematics performance. Notably, students with better socioeconomic status exhibit heightened levels of mathematical self-concept and self-efficacy, corresponding to superior mathematics outcomes. Gender nuances reveal that, despite superior mathematical performance, girls report less positive self-concept and self-efficacy in mathematics than boys. Surprisingly, mathematics self-concept tends to have a closer association with achievement in independent schools than in public schools, while mathematics self-efficacy influences achievement more in public schools than in independent schools. Besides, independent school students’ mathematics achievement is more associated with socioeconomic status and gender compared to their public-school peers. Immigration background seems to play a more important role in predicting mathematics achievement in public schools than in independent schools.

Students’ Academic Self-Concept and Their Academic Achievement in Mathematics in Bekwarra Local Government Area of Cross River State

The study looked into the relationship between senior secondary two (SS2) students' academic self-concept and their mathematics achievement in Bekwarra Local Government Area of Cross River State. This study was directed by three research questions and three matching null hypotheses. A sample of 318 senior secondary two (SS2) students offering Mathematics which comprised two hundred (200) female and one hundred and eighteen (118) male SS 2 students drawn from six (6) secondary schools from a population of 1544 SS2 students offering Mathematics in Bekwarra Local Government Area, Cross River State using Taro Yamane's sample size formula and A simple random selection method was employed, namely by balloting. Two instruments were used for data collection titled; Academic Self-Concept Scale (ASCS) and Mathematics Achievement Test (MAT) used for data collection. Cronbach Alpha (∝) method was used to determine the internal consistency of the Academic Self-Concept Scale (ASCS). The reliability coefficient of the Academic Self-Concept Scale (ASCS) was 0.81. Kuder-Richardson 20 formula method was used to determine the reliability coefficients for the Mathematics Achievement Test (MAT). The reliability coefficients obtained was 0.91 for BAT. The research questions and all null hypotheses were answered and tested using simple linear regression at 0.05 level of significant. Results of the study revealed that: % variation in academic achievement of male students in mathematics was due to their self-concept, and that the academic achievement of male students in mathematics is not significantly correlated with their self-concept. On the other hand, 17% variation in the academic achievement of female students in mathematics was due to their self-concept, and the academic achievement of female students in mathematics is significantly correlated with their self-concept. Finally, students’ self-concept accounted for 23% variation in their academic achievement in Mathematics, and that students’ self-concept significantly relate with their academic Achievement in Mathematics in Bekwarra Local Government Area. The researcher recommended among other things, that parents should help their children have a positive self-concept in mathematics from an early age.

Math and German motivation transitions in early adolescence

BackgroundSome students are more motivated that others in one or multiple academic domains, and more motivated in one domain than another. These inner hierarchies of motivational beliefs are important because they can influence students’ achievement and study or career choices. However, little is known about the heterogeneity in inner hierarchies of motivational beliefs during early secondary school, when motivation typically declines. AimsThe aims of this study were to (1) identify profiles of self-concept and intrinsic value in mathematics and German during the first two years of secondary school, (2) explore stability and change in these profiles, and (3) explore how profile membership relates to student competence and gender, and perceived teacher behaviour. SampleParticipants were 721 secondary school students from Germany. MethodsStudents completed measures of self-concept, intrinsic value, and competence in grades 5 and 6, and measures of perceived teacher behaviour in grade 5. Data were analysed using latent transition analysis. ResultsFive profiles characterised by inter- and intraindividual differences in self-concept and intrinsic value were identified. Membership in these profiles was relatively stable. Inner hierarchies of self-concept and value were related to competence, with students demonstrating higher competence in domains they were more motivated in. Gender and perceived teacher behaviour were related to profile membership, but not profile transitions. ConclusionsWhen supporting the motivational development of students during the first two years of secondary school, teachers may need to adopt a holistic approach that recognises the heterogeneity in students’ inner hierarchies of motivational beliefs.

하브루타 토론 활동이 예비유아교사의 수학 교수 효능감과 수학적 태도에 미치는 영향

Objectives This study was conducted to analyze the effects 0f Havruta discussion activities on pre-service early childhood teacher's mathematics teaching efficacy and mathematical attitude. Methods The study was conducted by selecting 13 and 15 students from early childhood education and 3rd graders, respectively, as an experimental group and a comparative group. And mathematics teaching efficacy and mathematical attitude tests were conducted on the study's students through pre and post tests. Results According to the results of this study, First, the experimental group, which was a group of pre-child teachers who conducted Havruta discussion activities, showed significantly higher mathematics teaching efficacy than the comparative group. There was also a statistically significant difference between the results expectation of mathematics teaching and the belief in mathematics teaching ability, a sub-factor of mathematics teaching efficacy. Second, the mathematical attitude of the pre-child teacher group who conducted the Havruta discussion activity was significantly higher than that of the pre-child teacher group who did not. Among the sub-factors of mathematical attitude, the experimental group's score was significantly higher than that of the comparative group in the case of interest in mathematics, motivation for mathematics, and self-concept in mathematics, and the experimental group scored significantly lower than the comparative group in the case of anxiety about mathematics. On the other hand, there was no significant difference in the value of mathematics. Conclusions In summary, the results of this study show that Havruto discussion activities significantly enhance the mathematics teaching efficacy and mathematical attitude of pre-child teachers. These findings demonstrate the value of actively utilizing Havruta discussion activities to enhance the mathematics teaching efficacy and mathematical attitude of pre-child teachers.

A multigroup random-intercept cross-lagged panel model for Finnish secondary school students in frame of situated expectancy-value theory

The aim of this study is to examine both within-person and between-person associations of academic self-concept and task values in literacy and mathematics to identify the most promising motivational construct to prevent motivational decline during school transitions. The sample included 3636 students (average age at the start: 15.73 years, SD: 0.32 years) followed up three times from lower secondary school (T1) to the third year (T3) of upper secondary education, either in vocational or academic tracks. Multi-group random intercept cross-lagged panel models detected several spillover (cross-lagged) effects between self-concept and task values in mathematics but not in literacy. There were also marginal but significant differences between students from different educational tracks in both subjects. Overall, utility value and academic self-concept in mathematics were found to be the most promising motivational constructs in changing motivational beliefs, thus presenting important starting points in motivational interventions. Educational relevance and implications statementThis study highlights that spillover effects are more pronounced in maths than in literacy, emphasising the need for tailored interventions in mathematics education. Moreover, the potential disruption in students' motivational beliefs during school transitions suggests the importance of ensuring continuity in support to help mitigate the impact of these transitions. While our results indicate limited carryover effects, it is possible that school transitions are experienced as breaks in motivational development. The role of utility value in exhibiting spillover effects over school transitions in both maths and literacy suggests the significance of emphasising the practical relevance of academic subjects to sustain students' motivation. Additionally, recognising the superior role of academic self-concept in maths in spillover effects on task values underscores the importance of nurturing students' confidence and beliefs in their own mathematical abilities.

Developmental relations between mathematics self-concept, interest, and achievement: A comparison of solo- and co-taught classes

Developmental relations between mathematics self-concept, interest, and achievement: A comparison of solo- and co-taught classes

Coding Decoded: Exploring Course Achievement and Gender Disparities in an Online Flipped Classroom Programming Course

In introductory programming courses (IPCs), students encounter various difficulties that are related to low achievement and high dropout and failure rates. Technology-rich approaches that promote self-directed learning while facilitating competency development and knowledge construction through social collaboration may offer advantages in this context. The current study assesses such an instructional approach by (1) identifying antecedents and process variables related to course achievement in an online flipped classroom IPC and (2) testing for gender differences regarding antecedents, process variables, and course achievement. In the winter semester of 2020/21, a sample of 144 Austrian university students participated in a survey with measurements at different points in time. Multiple linear regression was carried out to explore factors related to course achievement. The results indicate that gender, achievement-avoidance goals, academic self-concept, engagement in asynchronous learning, and course satisfaction were positively related to achievement. In contrast, work avoidance was identified as a barrier to achievement. Additionally, multivariate analysis of variance (MANOVA) was employed to test gender differences. MANOVA revealed significant gender differences regarding learning goals, mathematical self-concept, work avoidance, and engagement in synchronous learning. There were no gender differences regarding course satisfaction or achievement. The study has implications for designing innovative programming courses that could foster course satisfaction and achievement and thus reduce dropout and failure rates.

Mathematics self-concept and response pattern in higher education examinations: differences between genders

The study examined how mathematics self-concept, mathematics anxiety and endorsement of mathematics gender stereotypes may impact female students’ response pattern in multiple-choice examinations in courses with mathematical content. Questionnaires measuring these three variables were completed by 435 undergraduates (327 enrolled in a non-mathematical course and 108 in a course with mathematical content). Achievement was measured via multiple-choice examinations, thus allowing us to analyse students’ response patterns (i.e. not only their mark but also the number of hits, errors and unanswered questions). In females, a poorer mathematics self-concept and higher levels of mathematics anxiety (compared with male classmates) did not impact negatively on their final mark in the course with mathematical content. However, the response pattern in this course differed according to gender and mathematics self-concept: a poorer mathematics self-concept was associated with a higher number of unanswered questions in women and a tendency toward a greater number of errors in men. This suggests that a poorer mathematics self-concept leads women to be more cautious during multiple-choice examinations so as to minimise mistakes, whereas in males it tends to be associated with a risk-taking response strategy. These results raise further concerns about the use of multiple-choice examinations, particularly for assessing mathematical knowledge in students with low mathematics self-concept.

Beyond numbers: the role of mathematics self-concept and spatial anxiety in shaping mental rotation performance and STEM preferences in primary education

IntroductionFactors such as low self-concept and anxiety have been shown to negatively impact mathematical achievement and spatial skills, as well as enjoyment of math-related subjects. Understanding these factors is crucial for promoting STEM interest and performance, particularly among primary school students.MethodsThis cross-sectional study examines the influence of gender, childhood development stage, maths self-concept, spatial anxiety, perceived difficulty, mental rotation performance, and STEM preferences in a sample of 144 primary school students (mean age M = 8.47), comprising 70 girls and 74 boys. Data were collected through four questionnaires and a computerized Mental Rotation Task (MRT).ResultsGirls and tweens (9-to-11-year-olds) exhibit lower maths self-concept, impacting their preference for maths as a STEM subject. Girls also demonstrate higher spatial anxiety and perceived difficulty of the MRT compared to boys. Maths self-concept is significantly associated with spatial anxiety and perceived difficulty, while gender is not. Maths self-concept shows marginal effects on students’ accuracy on the MRT, with evidence of a mediating effect of spatial anxiety.DiscussionThese findings underscore the importance of maths self-concept in shaping STEM preferences, particularly among girls and tweens. Additionally, maths self-concept serves as a mitigating factor for spatial anxiety and perceived difficulty in spatial tasks among primary school children. The study also suggests that spatial anxiety may contribute to gender disparities in mathematics and STEM-related domains. Further research is needed to explore interventions targeting maths self-concept and spatial anxiety to promote equitable STEM engagement amongst primary school students.

Academic self-concept, achievement, and goal orientations in different learning environments

Stage-Environment Fit Theory underlines the role of learning environments and their match with students’ needs as crucial for students’ motivation and learning. This study explores the mediation role of goal orientations in the interplay of academic self-concept and achievement in mathematics and verbal domains in student-directed and teacher-directed learning environments. The sample consists of 1153 adolescent students (Mage t1 = 13.97; SD = 1.37, 49% girls) from Germany. Multi-group cross-lagged panel analyses confirm the Reciprocal Effects Model for the student-directed learning environment only, as reciprocal relation of academic self-concept and grades over time has been found. The extension of the Reciprocal Effects Model with goal orientations as mediators could not be confirmed for any learning environment.

Exploring predictors of STEM aspirations from a STEM capital perspective

ABSTRACT Background The concept of science, technology, engineering, and mathematics (STEM) capital can serve as a framework for understanding how various resources contribute to aspiration formation in STEM fields. However, to date, it remains unclear what factors should be included in STEM capital and how they may help explain why students do or do not aspire to STEM careers. Purpose This study aimed to validate the instruments and explore the predictive effect of various factors, including STEM capital and other non-STEM specific cultural capital factors, on students’ STEM aspirations while comparing these variables among primary, junior secondary, and senior secondary levels. Sample A stratified sample of students (N = 3,991) from the upper-primary to senior-secondary level in Hong Kong participated in the study. Design and methods An online survey investigation was conducted for data collection. Exploratory and confirmatory factor analyses were performed to validate the instruments before ANOVA, correlation analysis, and regression analysis were performed. Results The elementary students had significantly greater scores on the STEM capital variables than did the students at the junior and senior secondary levels. Gender, age, parental school involvement and expectations, informal STEM participation, positive views of professionals, and self-concept in mathematics positively predicted STEM aspirations, while having a parent/guardian with a STEM career negatively predicted students’ aspirations. In addition, the results showed that having STEM books at home and self-concept in information technology were additional predictors at some educational levels. The explored factors can explain approximately 30% of the variance in students’ STEM aspirations. Conclusion Senior students’ STEM capital factors exhibit lower levels compared to their younger peers. The developed, adapted, and translated instruments are valid for measuring the factors composing STEM capital, where some cultural and STEM capital factors significantly explain variations in students’ STEM aspirations. The mechanism of the negative effect of parental STEM occupations and the implications of the current study are also discussed.

Students’ psychological variables connection with secondary school students’ academic performance in mathematics

PurposeThe study’s objective was to ascertain the connection between secondary school students' test anxiety, academic self-concept, motivation and academic performance in mathematics. The difference between the academic performances of male and female secondary school students who exhibit high and low test anxiety, academic self-concept and motivation levels in mathematics.Design/methodology/approachFour hypotheses and four research questions were adopted. The design is a correlation. 42,299 mathematics students in senior school year two (SS2) made up the research population. A sample of 1,650 students was selected through a multi-stage sampling procedure. The main instruments used were the Mathematics Test Anxiety Questionnaire (MTAQ), Academic Self-Concept Questionnaire (ASQ) and Academic Motivation Questionnaire (AMQ) and students’ math scores. These instruments were validated by three experts and the reliability coefficients of 0.69, 0.68 and 0.68 were obtained for MTAQ, ASQ and AMQ, respectively, using Cronbach alpha. Pearson product moment correlation was used to analyze the data.FindingsThe study’s results showed a correlation between secondary school students' academic performance in mathematics and test anxiety, academic self-concept and motivation. There was a significant difference between secondary school male and female students' test anxiety; there was a significant difference between secondary school male and female students' self-concept and academic performance in mathematics, and there was a significant difference between secondary school male and female students' motivation and academic performance in mathematics.Originality/valueThe major contribution of this study is to investigate the connection between test anxiety, academic self-concept motivation and students’ mathematics performance. There is a difference between psychological variables, gender and mathematics performance.

Longitudinal PLS-SEM analysis of the performance and participation of students in mathematics

<p>The mathematics performance of Australian high-school students in Year 9 and their participation in mathematics subjects in Year 12 has plummeted in the last 20 years. In this paper, a retrospective cohort study was conducted to understand how non-cognitive variables controlled or explained the correlation between mathematics performance in Year 9 and mathematics participation in Year 12. The sample consisted of a cohort of Australian students (<italic>N</italic> = 6653; <italic>n</italic> = 3115, 46.8% male) who participated in the Longitudinal Survey of Australian Youth (LSAY) in 2007 to 2017. Partial least squares structural equation modelling (PLS-SEM) was conducted to explore the degree to which one moderating variable and five mediating variables intervened in the relationship between mathematics performance in Year 9 and mathematics participation in Year 12. Mathematics performance in Year 9 predicted mathematics participation in Year 12 (R<sup>2</sup> = 18.4%). The positive correlation was moderated by gender and mediated by five non-cognitive factors associated with self-related beliefs: mathematics self-concept, self-efficacy, interest, motivation, and anxiety (R<sup>2</sup> = 28.9%). At any given level of mathematics performance in Year 9, a male student with a higher level of mathematics self-concept, self-efficacy, interest, and motivation, and a lower level of anxiety, was more likely to participate in mathematics subjects in Year 12 than a female student with a lower level of mathematics self-concept, self-efficacy, interest, and motivation, and a higher level of anxiety. These finding have implications for ameliorating the declining levels of mathematics performance and participation.</p>

Developmental trajectories of school-beginners' ability self-concept, intrinsic value and performance in mathematics.

Although research clearly demonstrates the importance of motivation in mathematics learning, relatively little is known about the developmental dynamics between different facets of mathematics motivation and performance, especially in the early years of schooling. In a longitudinal setting, we examined (1) how children's ability self-concept and intrinsic value in mathematics change over time during their first 3 years in school, (2) how those changes relate to each other and (3) how they connect with mathematics performance. The participants were 285 Finnish school-beginners (52.7% girls). Latent growth curve modelling was used to examine the developmental trajectories of children's ability self-concept and intrinsic value, and how those trajectories predicted later mathematics achievement (both mathematics test performance and teacher-rated grades), while controlling for previous mathematics performance and gender. The results showed significant decreases in children's ability self-concept and intrinsic value, but also significant individual differences in the trajectories. The strong dependency between the levels and changes in self-concept and intrinsic value led us to specify a factor-of-curves latent growth curve model, thus merging the trajectories of ability self-concept and intrinsic value into one common model. Subsequent results showed prior mathematics performance to predict change in children's mathematics motivation, and both the level and change in mathematics motivation to predict third-grade performance and teacher-rated grade. Our findings provide evidence for a developmental link between children's ability self-concept, intrinsic value and achievement. Achievement seems to enhance mathematics motivation, and positive motivation appears to support the further development of mathematics skills.

Self-concept, Self-efficacy, and Academic Achievement of Prospective Mathematics and Biology Teachers

This study investigates the intricate interplay between self-concept, self-confidence, and academic achievement among aspiring mathematics and biology teachers. Through a quantitative research approach and survey design, we explore the relationships among these psychological factors and their potential influence on the educational paths of future educators in these distinct disciplines. Seventy-six prospective biology education teachers and 115 prospective mathematics education teachers voluntarily participated as respondents in filling out the provided survey. Utilizing standardized self-concept and self-efficacy assessments in conjunction with academic performance records, we gather comprehensive data to analyze these dynamics by inferential statistics, independent t-tests, and Pearson's correlation. Our findings show that there is a significant difference in the self-concept of prospective biology education teachers and mathematics education teachers when studying mathematics or statistics material, highlighting significant correlations between self-concept, self-efficacy, and academic achievement. However, the nature of these relationships varies between mathematics and biology domains, suggesting the need for tailored strategies in each field. While a positive self-concept and self-efficacy foster academic success, their impact differs based on the subject matter. The findings from these analyses can shed light on how self-concept and self-efficacy in mathematical understanding and problem-solving contribute to the academic achievement of prospective teachers in mathematics and biology. This information has implications for teacher training programs and educational strategies aimed at enhancing both self-perception and teaching efficacy in mathematics-related subjects.

Competence and affect self-concepts of elementary school children – Do gender and immigration background play a role?

ABSTRACT By focusing on 179 elementary school children, the present cross-sectional questionnaire study aimed to examine gender and immigrant-native differences in competence and affect self-concepts as well as academic achievement and the relations of those two self-concept components to academic achievement in the domains of mathematics and German. Results of analysis of variance showed that boys’ competence self-concept in mathematics was more positive than that of girls, while girls’ affect self-concept in German was more positive than that of boys. Immigrant children showed a higher affect self-concept in German than native-born peers. Boys’ superior competence self-concept in mathematics was more pronounced for native-born children than immigrant peers, whereas immigrant girls’ competence self-concept in mathematics was more pronounced than that of native-born girls. Competence self-concepts were more highly related to academic achievement than affect self-concepts.

Socio-economic status predicts mathematics self-concept: A correlational study in OR Tambo Inland District

The current study explored the level to which socio-economic status predicts mathematics self-concept. A correlational and regression research designs were used. The study was carried out in OR Tambo Inland District in the Eastern Cape Province. The sample size comprised of 351 Grade 9 mathematics students, of which 171 were girls and 180 were boys. For generalizability purposes and fair distribution and representation of the sample across the population, both rural and urban geographical locations were represented by three schools each. The level of socio-economic status and mathematics self-concept was measured by use of a standardized questionnaire. The data collection tool was tested valid and reliable. Statistical Package for the Social Sciences (SPSS) was used to perform regression and correlation analysis. The research findings depict that mathematics self-concept was heavily influenced by socio-economic status of a parent. Furthermore, mathematics self-concept varied according to the socio-economic status and the variation was statistically significant. Recommendations were made to all implicated stakeholders to improvise strategies of improving mathematics self-concept despite the family’s economic hardships.

Relationship between Academic Self-Concept and Academic Performance in Mathematics of Secondary School Students in Delta State, Nigeria

The study investigated the relationship between self-concept and the academic performance in mathematics of secondary school students in Delta State, Nigeria. Two research questions and two null hypotheses guided the study. A correlation design was adopted in the study. All 42,299 senior secondary two (SS2) mathematics students in the 2021/2022 session in the state made up the research population. A multistage sampling procedure was used to draw 1,650 of these students. The instrument utilized to gather data was the Academic Self-Concept Questionnaire (ASQ), which was validated by three experts. The instrument's dependability was determined using Cronbach’s Alpha, and the result was 0.68. The students’ performances in Mathematics for three terms in SS1 represent their performance scores in mathematics. The collected data were analyzed using Pearson product moment correlation and a t-test for correlation analysis. The results of the study showed a very low positive and no significant relationship between academic self-concept and the performance of secondary school students in mathematics. However, there was a significant difference in relation to mathematics performance between students with a positive self-concept and those with a negative self-concept in mathematics. In light of the results, it was recommended among other things, that mathematics teachers should make a deliberate effort to help students who possess negative self-concepts by conditioning, modeling, and changing their behaviors to perform better in mathematics.

Mathematics self-concept moderates the relation between cognitive functions and mathematical skills in primary school children

In this paper, we investigated the contribution of both cognitive and affective factors to mathematical skills. In particular, we looked at the protective role of self-concept for mathematical learning and performance. In a field study, we tested the relation of math self-concept and short-term visuo-spatial working memory to the mathematical abilities of second- grade primary school children in Italy (N = 105). Measures included the “Test for the evaluation of calculating and problem-solving abilities” (AC-MT 6–11), the backward Corsi blocks test (Battery for Visuo-Spatial Memory), and the mathematics self-concept sub-scale of the Self-Description Questionnaire-I (SDQ-I, Italian version). As expected, correlation and moderated regression analyses showed that mathematics self-concept and working memory both positively predict mathematical operations and numeracy, but not accuracy. Simple slope analysis confirmed our moderation hypothesis, with working memory predicting mathematical abilities at low levels of math self-concept, but not at medium and high levels. The theoretical and practical implications are discussed.

A closer look at teacher support and achievement emotions in Chinese mathematics classrooms: mediating roles of academic control and intrinsic/extrinsic value

This cross-sectional study looks into how students’ perceived teacher support is linked to achievement emotions in mathematics via academic control and value. The data was gathered from 602 secondary students (13-16-year-olds) in 16 mathematics classrooms from three public schools in Jiangsu province, China. Participants were asked to respond to the paper-pencil questionnaire assessing students’ perceived teacher support, cognitive appraisals, and achievement emotions in mathematics. Findings showed that cognitive appraisals played complete mediation roles in teacher support and achievement emotions. Intrinsic value and mathematics self-concept were shown to serve a positive role in teacher support and achievement emotions, whereas extrinsic value was found to play a negative one. Besides, teacher support showed the greatest indirect effect on achievement emotions through mathematics self-concept. Lastly, findings indicated the great relevance of teacher support to students’ anger, boredom, enjoyment and relaxation in mathematics classrooms.