Achievement-related within-school socioeconomic gaps in science subjects in China: evidence on existence,consistency, and compensation

Using data from the 2011 (Chinese) Student Academic Achievement Evaluation, we examined whether within-school socioeconomic gaps in science achievement exist across science subjects, how consistent they are, and whether there are relationships between school average science achievement and within-school socioeconomic gaps in science achievement. Results of multivariate multilevel analyses indicate that for both fathers and mothers within-school socioeconomic gaps in science achievement existed among schools but did not vary much across schools. School mean socioeconomic status and teacher experience were related to these gaps. Schools were strongly consistent in within-school socioeconomic gaps in science achievement across science subjects, and this consistency was independent of (robust to) student and school characteristics. The relationships between school average science achievement and within-school socioeconomic gaps in science achievement were rather weak among schools across science subjects, and the addition of school characteristics to student characteristics effectively demolished the relationships.     

Mathematics Achievement as a Function of Within- and Between-School Differences

Achievement in mathematics of eighth-grade students is modeled as a function of within-school, between-school and cross-country differences. The data were obtained from 217,728 students, within 7,216 secondary schools, in 48 countries, who participated in the 2007 Trends in International Mathematics and Science Study. Multilevel analysis showed that out of the total variance in mathematics achievement, 40.39%, 20.61%, and 38.99% were accounted for within-school, between-school-within-country, and cross-country differences, respectively. Mathematics self-concept followed by socioeconomic status was the strongest predictor of achievement at the student level. At the school level, school location yielded the strongest link to achievement, while at the country level socioeconomic status was the main predictor of national mathematics average.     

Community participation in large public school systems

In a 1980 nationwide survey of school systems enrolling 50,000 or more students, it was found that community participation existed at the local school and districtwide levels for all 66 school systems, while 42 (67%) also reported community participation at the decentralized level. School systems with 50,000 to 74,900 students exhibited lower community participation scores than larger school systems with 75,000 or more students. Predominantly white school systems (+50%) tended to have higher community participation scores than predominantly minority school systems (+50%) at the local school and districtwide levels. At the decentralized level, the community participation scores between predominantly white and minority schools were similar. Suburban school systems' community participation scores were higher than city and county school systems' scores at the local, decentralized, and districtwide levels; county school systems' scores were lower at all three organizational levels. Community participation tended to be higher in the Southwest and West and lowest in the Midwest.     

Effects of school choice on the margin: The cream is already skimmed

Critics of school choice argue that cream-skimming will worsen outcomes for those left behind in public schools. Since “high ability” families may have already sorted themselves out of the schools in question, this paper will examine whether existing within-school heterogeneity leaves any scope for cream-skimming to operate. It asks, “given the current level of within-school heterogeneity, how strong would peer effects have to be to significantly worsen outcomes for those left behind?” In order for cream-skimming to lower math test scores by one half-year's progress, the peer effect would have to be as strong as increasing class sizes by 8–20 students, or cutting per-student funding by $400–2000. These results indicate that current levels of within-school heterogeneity are so low that peer effects would have to be unrealistically strong to give cream-skimming any bite.     

Closing the Gap: Modeling within-school variance heterogeneity in school effect studies

Effective schools should be superior in both enhancing students’ achievement levels and reducing the gap between high- and low-achieving students in the school. However, the focus has been placed mainly on schools’ achievement levels in most school effect studies. In this article, we focused our attention upon the school-specific achievement dispersion as well as achievement level in determining effective schools. The achievement dispersion in a particular school can be captured by within-school variance in achievement (σ²). Assuming heterogeneous within-school variance across schools in hierarchical modeling, it is possible to identify school factors related to high achievement levels and a small gap between high- and low-achieving students. By analyzing data from the TIMMS-R, we illustrated how to detect variance heterogeneity and how to find a systematic relationship between within-school variance and school practice. In terms of our results, we found that schools with a high achievement level tended to be more homogeneous in achievement dispersion, but even among schools with the same achievement level, schools varied in their achievement dispersion, depending on classroom practices.     

Socioeconomic Gaps in Academic Achievement Within Schools: Are They Consistent Across Subject Areas?

Few studies have examined the correlates of within-school socioeconomic gaps in academic achievement corresponding to subject areas across schools. This study addressed this limitation with data from the New Brunswick School Climate Study (N = 6,883 students from 148 schools) which contained measures on academic achievement in four subject areas (mathematics, science, reading, and writing) as well as student and school background characteristics. Results of multivariate, multilevel analyses showed that within-school socioeconomic gaps were similar between reading and writing as well as between mathematics and science. Furthermore, the interrelationships of within-school socioeconomic gaps in academic achievement corresponding to the four subject areas across schools were not much influenced by student background characteristics (gender, Native status, number of parents, and number of siblings) and characteristics of school context and climate (school size, school mean SES, disciplinary climate, academic expectation, and parental involvement).     

Correlates of student stress in secondary education

Background

Educational differentiation, or the allocation of students to different types of school or different locations within schools, is a common feature of modern education systems. In most countries, student outcomes vary considerably, both by school and academic location within schools.

Purpose

The purpose is to ascertain the extent that between- and within-school differences in student performance can be attributed to students' socio-economic background and their home resources.

Sample

The samples are from the OECD's 2000 Program for International Student Assessment (PISA) study of 15-year-old students' performance in reading, mathematics and science. Data from 30 countries were analysed. The student samples ranged between 2500 (USA) and 30,000 (Canada) students. The samples are representative of the populations of 15-year-old school students in each country.

Design and methods

Multiple regression analysis was used to ascertain the extent to which between-school differences (measured by intra-class correlations) and within-school differences (measured by the effects of the composite variable ‘academic location’ which comprised grade and school programme) declined when taking into consideration students' socio-economic background and home environment.

Results

In most countries the intra-class correlations and the effects of academic location declined only marginally. This was especially the case in countries with large between-school differences such as the tracked systems of continental Europe.

Conclusions

Differences in student performance between and within schools cannot be accounted for by socio-economic background. The study lends some support to the official rational for tracking and other forms of educational differentiation, that the allocation of students to different school types and academic locations within schools is largely based on student ability.     

Effects of class size reduction in upper grades: Evidence from Seoul,Korea

We study the effects of class size reduction (CSR) in upper grades (10–12) on college entrance exam scores, using merged Korean administrative data. This data set provides a rare opportunity to investigate the effects of high school class sizes on student outcomes. Seoul has maintained strong restrictions on educational choices to achieve the ideal of equal educational opportunities. The identification mainly comes from the large-scale CSR policy implemented in 2002. By using the within-school between-cohort variation in class size intended by the CSR policy, we find that the effects of high school class sizes on test scores are small with tight confidence intervals. We confirm this result by using the additional within-school variation in class size arising from the major division, especially the implicit rule of class allocation between majors. Further, the distributional effects are no different from the average effects either.     

Factors influencing the decision to administer psychoeducational tests

Ninety-nine NASP members participated in a study designed to investigate bias in the early stages of the referral process (i.e., in the decision to administer psychological tests). Each school psychologist received one of eight case studies, which described a child referred for academic learning problems. The case studies included typical referral information and varied student race (Black, White), socioeconomic status (higher, lower), and group achievement test scores (average, below average). The decision to administer individual psychoeducational tests was not influenced by the student's race or socioeconomic status. School psychologists were influenced by the group achievement test data. Students who showed lower achievement test results were more likely to be recommended for testing than were those who showed average performance levels. Thus, these school psychologists were not biased by knowledge of a child's race or socioeconomic status, but were influenced by instructionally relevant data (i.e., achievement test scores). In addition, when objective test data indicated average achievement levels, the psychologists did not generally recommend subsequent individual psychoeducational testing. The findings suggested that, under certain conditions, testing may not automatically follow receipt of a referral.     

Do the maths: An analysis of the gender gap in mathematics in Africa

This paper uses microdata for 19 African countries to examine the gender difference in maths test scores amongst primary school children. There is a significant difference in maths test scores in favour of boys, similar to that previously observed in developed countries. This difference cannot be explained by gender differences in school quality, home environment, or within-school gender discrimination in access to schooling inputs. However, the gender gap varies widely with characteristics of the regions in which the pupils live, and these regional characteristics are more predictive of the gender gap than parental education and school characteristics, including teacher gender. At the cross-country level, differences in fertility rates account for nearly half the variation in the gender gap, and this relationship is not due to the correlation between fertility and GDP.     

Bringing the schools back in: the stratification of educational achievement in the Chilean voucher system

This paper analyzes the socioeconomic stratification of achievement in the Chilean voucher system using a census of 4th and 8th graders, a multilevel methodology, and accounting for unobserved selectivity into school sector. Findings indicate that the association between the school's aggregate family socioeconomic status (SES) and test scores is much greater in the private-voucher sector than in the public one, resulting in marked socioeconomic stratification of test scores in the Chilean voucher system. We also find that the amount of tuition fees paid by parents in private-voucher schools has no bearing on test scores, after controlling for the socioeconomic makeup of the school. Implications of these findings for educational inequality in the context of a universal voucher system are discussed.     

New Perspectives on the Correlation of SAT Scores, High School Grades, and Socioeconomic Factors

In studies of the SAT, correlations of SAT scores, high school grades, and socioeconomic factors (SES) are usually obtained using a university as the unit of analysis. This approach obscures an important structural aspect of the data: The high school grades received by a given institution come from a large number of high schools, all of which have potentially different grading standards. SAT scores, on the other hand, can be assumed to have the same meaning across high schools. Our analyses of a large national sample show that, when pooled within-high-school analyses are applied, high school grades and class rank have larger correlations with family income and education than is evident in the results of typical analyses, and SAT scores have smaller associations with socioeconomic factors. SAT scores and high school grades, therefore, have more similar associations with SES than they do when only the usual across-high-school correlations are considered .     

The self-concept and aggressive behavior among elementary school children from two socioeconomic areas and two grade levels

An investigation was conducted to examine the relationship between a child's self-concept and the tendency to behave aggressively. Boys and girls (N=229) in eight classrooms (two third grades and two sixth grades from two different socioeconomic areas within the Provo, Utah, School District) were administered the Piers-Harris Children's Self-concept Scale and the Children's Action Tendency Scale. Correlation coefficients were computed, and analysis of variance tests were used to determine the nature of variable relationships. No overall correlational pattern was found among self-concept and aggression scores. The analysis of variance results revealed a significantly larger mean aggressiveness score among children with low self-concepts when compared to children with medium and high self-concepts. Girls, while less aggressive than boys, became more aggressive with age, while boys' aggressiveness scores declined. Implications of the results were discussed in terms of methods of behavior change utilized by school personnel.     

Patterns of Student Performance on Mathematics Strands for American Indians and Others

Abstract

This study was an investigation of the patterns of performance among elementary aged students on the strands of the mathematics curriculum of a large urban school district. Test data were measured by using locally developed criterion referenced benchmark tests which were administered to all kindergarten, first, second, and fourth graders in one large urban school district. Analysis of variance and multiple classification analysis were used to determine the difference in total test scores and strand scores by ethnic group, gender, and socioeconomic status and to determine the proportion of test score variability accounted for by these demographic variables. The results of this study suggest that numeration is an area of the mathematics curriculum that causes special problems for Indian and black students, and that geometry is an area of relative strength for these two ethnic groups.     

Examination of Indices of High School Performance Based on the Graded Response Model

We examined summary indices of high school performance (coursework, grades, and test scores) based on the graded response model (GRM). The indices varied by inclusion of ACT test scores and whether high school courses were constrained to have the same difficulty and discrimination across groups of schools. The indices were examined with respect to skewness, incremental prediction of college degree attainment, and differences across racial/ethnic and socioeconomic subgroups. The most difficult high school courses to earn an “A” grade included calculus, chemistry, trigonometry, other advanced math, physics, algebra 2, and geometry. The GRM‐based indices were less skewed than simple high school grade point average (HSGPA) and had higher correlations with ACT Composite score. The index that included ACT test scores and allowed item parameters to vary by school group was most predictive of college degree attainment, but had larger subgroup differences. Implications for implementing multiple measure models for college readiness are discussed.     

The role of schools in bridging within-school achievement gaps based on socioeconomic status: a cross-national comparative study

Since the publication of the Coleman report in 1966, research on the role of schools in influencing student achievement relative to the role of family background has generated considerable interest and controversy. A large volume of international and comparative research has also been devoted to studying school effects on student achievement. Relatively few studies have examined international differences in the importance of schools in bridging achievement gaps based on socioeconomic status (SES). Using PISA 2012 data, this study examines the role of schools in bridging within-school SES gaps in achievement and compares findings across 61 countries. Contrary to prior research, we find that schools may have limited ability in bridging SES gaps that exist within schools. We also find that across all countries included in the study, specific factors such as the school’s learning environment and school context are not systematically associated with within-school SES gaps.     

The Stability of School Effectiveness Indices Across Grade Levels and Subject Areas

School effectiveness indices (SEIs) based on regressing achievement test performance onto earlier test performance and a socioeconomic status (SES) measure were obtained for eight subject–grade level combinations for a large sample of elementary schools. School means based on longitudinally matched student scores comprised the data set used in the analysis. The resulting SEIs were found to be somewhat unstable across subject areas (reading and mathematics) and very unstable across grade levels (1 through 4). Grade-to-grade correlations of the SEIs measuring mathematics performance, although small, tended to be statistically significant, whereas those measuring reading performance were generally nonsignificant. Thus, school effects may be more readily discernible in some subject areas than in others. Implications for research on effective schools and for the design of school recognition programs based on student test performance are discussed.     

Motivation for School Achievement: Measurement and Validation

Abstract

An objective instrument for assessment of motivation for school learning is reported along with evidence of its validity. Rural ninth-grade students in Appalachian Kentucky constituted the sample for studying relation, ships among variables of school motivation, willingness to compete, and achievement in reading, mathematics, and language. Students in general mathematics and in algebra classes were asked to volunteer for an academic type of contest. Later the mean motivation score of volunteers exceeded the mean for non-volunteers significant at the .01 level of confidence. Algebra students’ mean motivation score was significantly higher than the mean for general mathematics students (P > .001). Three months after the motivation scores were obtained scores on the California Achievement Test were collected. Product-moment correlations between motivation scores and achievement scores ranged from .604 to .718.

Although other writers have reported correlations between objective measures of motivation and teachers’ marks, no previous correlations with achievement test results could be found for comparison. Correlations with GPA’s tend to be in the range .32 to .55 which is considerably below the range resulting from this study. Data collected in this project supported hypotheses that the objective measure of school motivation would predict levels of utility for competition and achievement. It is concluded that for the sample of students involved the test presented is reliable and has validity for the prediction of willingness to try and levels of achievement as measured by a standardized test.     

School Effectiveness Indices Revisited: Cross-Year Stability

School effectiveness indices (SEIs) based on residuals from regressing test performance onto prior test performance and a socioeconomic status (SES) measure were obtained for 2 consecutive years for 431 elementary schools. The resulting SEIs were found to be reasonably stable year to year, the correlations ranging from. 34 to .66, depending on grade level (1–4) and subject (reading and mathematics). To aid in the identification of the factors that affect the stability of school achievement, correlations of the SEIs across subjects and grade levels were obtained also. It was determined that SEIs reflecting the performance of students at the same grade level were relatively stable, whether the same or different students were involved. However, SEIs reflecting the performance of students at different grade levels were very unstable. This suggests that grade-within-school effects dominate whatever global school effects operate in elementary schools. Implications for effective schools research, the design of school recognition/reward programs, and research and measurement specialists in general are discussed     

CONSTRUCT VALIDITY EVIDENCE FOR BRACKEN SCHOOL READINESS ASSESSMENT,THIRD EDITION,SPANISH FORM SCORES

Convergent and discriminant validity evidence was examined for scores on the Spanish Record Form of the Bracken School Readiness Assessment, Third Edition (BSRA‐3). Participants included a sample of 68 Hispanic, Spanish‐speaking children ages 4 to 5 years enrolled in preschool programs in Puerto Rico. Scores obtained from the BSRA‐3 Spanish Record Form were compared with scores from the Nonverbal Index of the Kaufman Assessment Battery for Children, Second Edition, and the Preschool and Kindergarten Behavior Scales, Second Edition. As expected, the correlation between school readiness scores and nonverbal intelligence was significant and moderate in the positive direction and the correlations between school readiness scores and behaviors were low. Discriminant validity evidence for BSRA‐3 scores was demonstrated using Steiger's Z test to compare correlations of similar and dissimilar constructs. As hypothesized, significant results emerged.