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.     

Migrant labor in South Africa: a comparative analysis of the academic achievement of father-present and father-absent adolescents

This study was designed to determine whether there are significant differences in academic achievement between father-present and father-absent (due to migrant labor) adolescents. Data were collected from 276 high school students in South Africa. Academic achievement was measured by the Human Sciences Research Council's (HSRC) Scholastic Achievement Test, covering biology, English (second language), and mathematics. Father-present students were found to score significantly higher than father-absent students. The findings suggest that a father's absence due to work conditions has deleterious effects on the scholastic performance of young people.     

Predicting Academic Achievement with the High School Placement Test

The study reported here investigated the use of the High School Placement Test as a predictor of 9th grade academic achievement as measured by school grades. The sample was composed of 3,194 boys who were enrolled in an academic curriculum at 1 of the 10 randomly selected Diocesan high schools in Philadelphia. A multiple regression analysis and a canonical correlation analysis were performed using the subtest scores of the High School Placement Test as independent variables, and final 9th grade average, grades in English, social studies, Latin, general science, and algebra as the dependent variables. It was found that the Composite score of the High School Placement Test individually would have been as useful a predictor of final grades as either of the empirically determined predictor composites computed in performing the multiple regression analysis and the canonical correlation analysis.     

An in-depth look at scholastic success: Fluid intelligence,personality traits or emotional intelligence?

The aim of the present study was to take an in-depth look at the role of fluid intelligence, personality traits and emotional intelligence (both ability-based and self-reported) in predicting scholastic success, verifying the existence of incremental validity of emotional intelligence with respect to fluid intelligence and personality variables. One hundred twenty-four students attending the last two years of high school were administered: the Advanced Progressive Matrices, the Eysenck Personality Questionnaire Revised Short Form, the Mayer-Salovey-Caruso Emotional Intelligence Test, the Bar-On Emotional Quotient Inventory: Short. The results demonstrate the influence exercised by fluid intelligence, personality and emotional intelligence on scholastic success, underlining, in particular, the role of emotional intelligence defined according to the ability-based model.     

Motivation as a Mediator of Social Disparities in Academic Achievement

The present study aimed at contributing to the understanding of social disparities in relation to students' academic achievement in the science, technology, engineering and mathematics domains. A sample of n = 321 German 11th graders completed measures of their family socio‐economic status (SES), general intelligence, domain‐specific ability self‐concepts and subjective scholastic values in math, physics and chemistry. Students' grades in these subjects received four months after testing served as criteria. Significant mediation effects were found for all motivational variables between fathers' SES and students' achievement, whereas for mothers' SES, only children's academic self‐concept in chemistry was a significant mediator. These results also held when students' general intelligence was controlled. Additionally, we controlled for students' grades before testing to investigate which variables mediated the influence of SES on change in school performance. Motivational variables significantly mediated the influence of fathers' SES on change in school performance in math but not in chemistry and physics. Intelligence significantly mediated the influence of fathers' SES on change in school performance in physics and chemistry but not in mathematics. The impact of mothers' SES on change in grades in chemistry was mediated by intelligence. Among others, the reasons potentially accounting for the differential influences of fathers' and mothers' SES are discussed. Copyright © 2011 John Wiley & Sons, Ltd.     

中小学生创造性倾向、智力及学业成绩的相关研究

本研究采用威廉斯创造性倾向量表和瑞文标准推理测验,结合中小学生语文、数学成绩,对524名中小学生进行创造性倾向、智力和学业成绩的相关研究.研究发现:(1)中小学生创造性倾向从小学到初中都处于发展阶段,高中以后基本趋于稳定,中小学生的智力一直处于发展增长趋势;(2)小学生的语文、数学成绩与创造性倾向总分有显著相关,初中生的数学成绩与创造性倾向总分以及四项行为特质都有显著相关,小学、初中和高中学生的语文、数学成绩与智力有显著相关;(3)小学中、低分段语文成绩和低分段数学成绩与其创造性倾向有显著相关,初中学生的语文成绩只有高分段与创造性倾向有显著相关,小学和高中语、数成绩三个分段学生的学业成绩跟智力显著相关.     

Toward a differential testing approach: Testing-the-limits employing the Raven matrices

Various testing-the-limits procedures were employed in administering the Raven Coloured Progressive Matrices Test to 203 second grade and 230 fourth grade children. Tests of impulsivity, neuroticism, extroversion, intelligence and school achievement were also given. The main results showed that testing-the-limits procedures which involved verbalization and feedback were efficacious in maximizing performance on the Raven. The puzzle form of the test generally led to higher scores than the picture version for the second but not fourth graders. Differential analyses were carried out to establish how construct, concurrent and predictive validity of the Raven were affected by the salient testing-the-limits procedures involved. Analysis was also done with the personality variables and revealed how their effect interacted with various test administration procedures. The results were discussed in theoretical and practical terms.     

Athletic self-concept and mathematics achievement in girls

Several researchers have suggested that girls' mathematics performance may be mediated by an assertive sex role or "masculine interest." The present study made the assumption that girls' athletic self-confidence reflects "masculine interest" so girls' test scores for perceived athletic competence would be related to their mathematics achievement scores. A total of 207 boys and girls in Grades 4, 5, and 6 were tested for their perceived athletic ability using the Athletic Competence subscale of Harter's 1985 Self-perception Profile, and these scores were correlated with their mathematics achievement as measured on the Metropolitan Achievement Test and term grades. A low but significant correlation with Athletic Competence scores was found for girls on both measures of mathematics achievement. Although boys scored higher on the Athletic Competence subscale, there were no sex differences on either measure of mathematics achievement. Results are discussed in terms of both sex-role theory and cognitive development.     

高中生学习力的探索研究

采用自编学习力问卷,对3245名高中生进行问卷调查,以探明高中生学习力的基本结构和特征。结果发现：（1）高中生的学习力可以4个维度表征,即：学习方法运用力、学习态度调控力、学习自控力和提问互惠力。（2）高中生的学习力与学业成绩关联显著,学业成绩优秀的同学具有较高水平的学习力测评得分;在学习力的4个维度上,成绩较差同学的学习力测评得分显著低于优秀与中等同学。（3）高二学生的学习态度调控力测评分显著高于高一学生,女生的提问互惠力测评分显著高于男生。（4）成绩优秀的高二学生学习方法运用力测评分显著高于高一学生,成绩优秀和中等的高二学生的学习态度调控力测评分显著高于高一学生。     

Personal and family factors as predictors of pupils' mathematics achievement

This study examined personal and family factors in prediction of mathematics achievement by Kuwaiti fourth graders (395 boys, 501 girls; M age=10.0 yr., SD=8.0 mo.). Personal variables included sex, total achievement, perception of parental involvement, pupil's attitude towards school, and mathematics achievement. Family variables included parental education and parental involvement, views of school, and income. The data had good fit with the suggested model. Analysis showed variables which had significant direct association with mathematics achievement were total achievement and sex. Parental education, pupil's sex, and attitude towards school had significant indirect associations with mathematical achievement. Associations were direct for boys and indirect for girls on mathematics achievement, so sex had minimal total effects on mathematics achievement.     

Frames of reference for self-evaluation of ability in mathematics

Measures of eight frame-specific self-evaluations of ability in mathematics were used to predict general mathematics self-concept and self-efficacy. Participants were 900 Norwegian students in Grade 6 (n = 277), Grade 9 (n = 236), Grade 11 (n = 263), and adult students attending senior high school (n = 124). Four items measured frame-specific self-evaluation of achievement based on external frames of reference whereas four items measured frame-specific self-evaluation based on internal frames of reference. Regression analyses were used to test relations between the frame-specific self-evaluations and general mathematics self-concept and self-efficacy. The analyses indicated that self-evaluation based on comparison with other students in class (an external frame of reference) and on comparison of mathematics achievement with achievement in other school subjects (an internal frame of reference) were robust predictors of both mathematics self-concept and self-efficacy. The analyses also indicated that students are using multiple frames of reference when evaluating their mathematics ability. Implications of the result for the internal-external frame of reference model are discussed.     

Correlations among measures of cognitive ability, creativity, and academic achievement for gifted minority children

This study explored the correlations among nonverbal reasoning ability, creativity, and academic achievement in gifted minority children, 89 girls and 71 boys in Grades 1 through 8 in a program for gifted. A random half of students from all grade levels were tested at the beginning of the year and the remaining half after 7 mo. with Raven Progressive Matrices, Torrance Tests of Creative Thinking, and the California Achievement Test. Pearson correlations reflected limited relations among these variables except for a significant positive value between creativity and reading achievement. Suggestions for further study and implications for identification procedures and program development were provided.     

中小学教师工作满意度与教学动机的关系

以1197名中小学教师为被试,通过问卷调查考察工作满意度与教学动机的关系。典型相关分析发现两组变量之间存在三对典型相关关系:环境满意度、升迁进修满意度、收入满意度和管理满意度作为抑制变量强化了活动满意度与内部动机的正相关;活动满意度和收入满意度对环境满意度与外部动机的正相关关系有调节作用,管理满意度作为抑制变量影响着升迁进修满意度、环境满意度与外部内化动机之间的负相关关系。鉴于工作满意度对教学动机的影响更为明显,采用分层回归分析进一步明确了可能存在显著回归效应。     

Symbolic magnitude processing in elementary school children: A group administered paper-and-pencil measure (SYMP Test)

The ability to compare symbolic numerical magnitudes correlates with children’s concurrent and future mathematics achievement. We developed and evaluated a quick timed paper-and-pencil measure that can easily be used, for example in large-scale research, in which children have to cross out the numerically larger of two Arabic one- and two-digit numbers (SYMP Test). We investigated performance on this test in 1,588 primary school children (Grades 1–6) and examined in each grade its associations with mathematics achievement. The SYMP Test had satisfactory test-retest reliability. The SYMP Test showed significant and stable correlations with mathematics achievement for both one-digit and two-digit comparison, across all grades. This replicates the previously observed association between symbolic numerical magnitude processing and mathematics achievement, but extends it by showing that the association is observed in all grades in primary education and occurs for single- as well as multi-digit processing. Children with mathematical learning difficulties performed significantly lower on one-digit comparison and two-digit comparison in all grades. This all suggests satisfactory construct and criterion-related validity of the SYMP Test, which can be used in research, when performing large-scale (intervention) studies, and by practitioners, as screening measure to identify children at risk for mathematical difficulties or dyscalculia.     

Methodological considerations in the evaluation of differential components of supplementary education programs

Details procedures to be followed in analyzing multiple program options and time allocation for significant effects. A multiple-option supplementary education program was evaluated by the application of multiple regression analysis as a general data analytic system. One analysis reports the relative merits of supplementary education components when more than one type of program was operated by the same school system and when the criteria for evaluation were end-of-year achievement tests. A second evaluation demonstrates that an analysis of program input variables such as aide time allocation did produce significant improvement in achievement when an analysis of the differential effect of the input variables was considered. An incidental outcome of this study was that significant improvement in reading and mathematics achievement for children in supplementary education programs was more likely to occur with second- and third-grade pupils than with thise at later grade levels.     

Early predictors of high school mathematics achievement

Identifying the types of mathematics content knowledge that are most predictive of students' long-term learning is essential for improving both theories of mathematical development and mathematics education. To identify these types of knowledge, we examined long-term predictors of high school students' knowledge of algebra and overall mathematics achievement. Analyses of large, nationally representative, longitudinal data sets from the United States and the United Kingdom revealed that elementary school students' knowledge of fractions and of division uniquely predicts those students' knowledge of algebra and overall mathematics achievement in high school, 5 or 6 years later, even after statistically controlling for other types of mathematical knowledge, general intellectual ability, working memory, and family income and education. Implications of these findings for understanding and improving mathematics learning are discussed.     

Dynamic assessment of intelligence is a better reply to adaptive behavior and cognitive plasticity

In the present study, the author conducted 3 experiments to examine the dynamic testing of potential intelligence. She investigated the relationship between dynamic measures and other factors such as (a) static measures of intelligence (Raven's Colored Progressive Matrices Test [J. C. Raven, J. H. Court, & J. Raven, 1979] and the D48 [J. D. Black, 1961]) and (b) codifying speed, codifying accuracy, and school performance. The participants were kindergarten children (n = 150), primary school children (n = 287), and teenaged students (n = 198) who were all trained to master problem solving tests with dynamic measures of intelligence. The results showed that dynamic measures predict more accurately the relationships of codifying speed, codifying accuracy, and school performance.     

Interpreting canonical correlation analysis through biplots of structure correlations and weights

This paper extends the biplot technique to canonical correlation analysis and redundancy analysis. The plot of structure correlations is shown to the optimal for displaying the pairwise correlations between the variables of the one set and those of the second. The link between multivariate regression and canonical correlation analysis/redundancy analysis is exploited for producing an optimal biplot that displays a matrix of regression coefficients. This plot can be made from the canonical weights of the predictors and the structure correlations of the criterion variables. An example is used to show how the proposed biplots may be interpreted.     

Explaining individual differences in scholastic behaviour and achievement

Background. This paper presents results from the first wave of a longitudinal study examining the effects of various psychosocial variables on scholastic achievement and behaviour at school. Aims. The main aim is to investigate the nature and strength of the effects of major individual difference dimensions on important outcome variables at school level, including academic performance, truancy, and antisocial behaviour. Samples. Data were collected from a sample of 901 pupils on verbal ability (as a proxy for cognitive ability), personality traits, and a number of behavioural indices, including academic performance at 14 and 16 years, number of authorized and unauthorized absences, and exclusions from school due to antisocial conduct. Methods. During the first stage of the study, seven schools participated in all three phases. Teachers administered a questionnaire battery in class according to a detailed protocol. Additional data were collected from school archives. Results. Analysis of the data through multi‐group (male and female puplis) structural equation modelling indicated a very strong effect of verbal ability on academic performance. Extraversion and psychoticism were negatively related to academic performance, although their effects were weak and moderated by gender. Verbal ability, extraversion, and psychoticism predicted absenteeism, truancy, and exclusions from school due to disruptive conduct. The latter three were negatively associated with academic performance. Conclusions. The findings indicate that major individual difference dimensions like verbal ability and personality traits, have a strong influence on important outcome variables at school level, including academic performance, truancy, and antisocial behaviour. Without fully acknowledging the crucial role of individual differences in shaping behaviour and achievement at school, the timely identification of pupils at risk, and the development of effective intervention schemes will be difficult.     

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。