Public school size and Hispanic student achievement in Texas: a 5-year analysis

In this study, the researchers examined 5 years of Texas statewide data concerning elementary school size and Hispanic student performance on three state-mandated assessments in reading, mathematics, and writing. For each year of data analyzed here, student data from more than 1,200 elementary schools. After collapsing elementary schools into three sizes (i.e., very small <400 students; small 400–799 students; and large 800–1,199 students), multivariate statistical procedures revealed the presence of statistically significant differences in Hispanic student performance in reading, mathematics, and writing across all 5 years of data analyzed. In almost every analysis, Hispanic students in large elementary schools outperformed Hispanic students in very small elementary schools in reading, mathematics, and in writing. As such, our findings are in disagreement with other studies. Implications are discussed.     

Classroom instructional quality,exposure to mathematics instruction and mathematics achievement in fifth grade

This study examined the quality of teacher–child interactions and exposure to mathematics instruction as predictors of 5th grade student’s mathematics achievement. The sample was a subset of the children involved in the NICHD–SECC longitudinal study (N = 657). Results indicate that, even after controlling for student demographic characteristics, more exposure to mathematics instruction was related to increased fifth grade mathematics achievement for both calculations and applied problems assessments, but there was no main effect for improved instructional quality. Findings also indicate that, in classrooms where lower instructional quality was observed, greater exposure to mathematics instruction predicted improved mathematics achievement. Findings are discussed in terms of differing aspects of mathematics instruction and the possible compensatory role of exposure to instruction in classrooms of lower quality.     

The effects of pre-first-grade programs on student reading and mathematics achievement

Pre-first programs and grade retentions have been ways that school personnel have attempted to address the problem of school failure. However, the benefits of these practices on student achievement have not been consistently supported in the research literature. This study investigated both the short- and long-term effects of pre-first programs on students' academic achievement in reading and mathematics, using three comparison groups. No significant differences were found in six of the eight analyses conducted, indicating few, if any, positive effects from the pre-first program. © 1996 John Wiley & Sons, Inc.     

Initial Considerations When Applying an Instructional Sensitivity Framework: Partitioning the Variation Between and Within Classrooms for Two Mathematics Assessments

ABSTRACT

Drawing inferences about the extent to which student performance reflects instructional opportunities relies on the premise that the measure of student performance is reflective of instructional opportunities. An instructional sensitivity framework suggests that some assessments are more sensitive to detecting differences in instructional opportunities compared to other assessments. This study applies an instructional sensitivity framework to compare student performance on two different mathematics achievement measures across five states and three grade levels. Results suggest a range of variation in student performance among teachers on the same mathematics achievement measure, variation between the two different mathematics achievement measures, and variation between grade levels within the same state. Findings highlight initial considerations for educators interested in selecting and evaluating measures of student performance that are reflective of instructional opportunities.     

Motivation,Meta-Cognition and Self-Regulation as Predictors of Long Term Educational Attainment

In a longitudinal study, long term educational attainment in secondary education was predicted by motivation, meta-cognition and self-regulation as well as student background variables and prior achievement. The dependent variables were: (1) the position in the fifth grade of the two highest tracks; (2) the choice of examination subjects; and (3) the mean achievement in the fifth grade in the chosen subjects. The position-variable correlates most strongly with the prognosis given at the end of primary education, and with the combined score on three progress tests taken during the first grade of secondary education. There was a large gender difference in the choice of examination subjects with boys choosing the three science subjects (pure mathematics, physics, chemistry) 30% more often. The choice of these subjects also correlates with the scores on the arithmetic progress test in the first grade and a mathematics test taken in the third grade. Achievement motivation and fear of failure are prominent predictors of the mean achievement in grade 5, as is prior achievement. Surprisingly meta-cognitive and self-regulation variables are hardly related to mean achievement.     

The distribution of pedagogical content knowledge in Cambodia: Gaps and thresholds in math achievement

Increasing teacher quality is a major objective of recent Cambodian education policy. In mathematics education literature, pedagogical content knowledge (PCK) has emerged as a critical component of teacher quality that is strongly linked to student achievement. In this study I use data from a large survey of Cambodian schools to investigate the effect of math teachers’ PCK on third grade student achievement. I use ordinary least squares and Quantile Regression analyses to examine this aspect of teacher quality. I find that pedagogical knowledge is a strong predictor of student math achievement in Cambodia in comparison to other student, school, and background variables, but that the effect is concentrated among higher achieving students. Quantile Regression with this dataset also exposes gaps and thresholds in achievement associated with other explanatory variables. In addition, I investigate the proportional distribution of teacher PCK in Cambodia and find that lower quality teachers are more likely to be teaching lower achieving students of lower socioeconomic status.     

Relationship between teacher knowledge of concepts and connections, teaching practice, and student achievement in middle grades mathematics

The mixed method sequential nested study examines whether and how the cognitive type of teachers’ content knowledge is associated with student achievement, and correlated with teaching practice. In the context of this study, the cognitive type refers to the kind of teacher content knowledge and thinking processes required to accomplish a task successfully, in terms of knowledge of facts and procedures (Type 1), knowledge of concepts and connections (Type 2), and/or knowledge of models and generalizations (Type 3). A sample of 102 middle school mathematics teachers (grades 6–8) was assigned to the study from a number of school districts in an urban area in the Southwestern US. Teachers were tested using the Teacher Content Knowledge Survey. Student level data of about 2,400 middle grades students’ standardized test passing rates including percentage of students meeting the state standards by objectives were collected. The type of teachers’ content knowledge was assessed and tested for association with student achievement on the state-mandated standardized test using multivariate methods including tests for variance and independence. The nested research consisted of three phases. Substudy-1 focused on quantitative analysis of the association between cognitive type of teacher content knowledge and student achievement. Substudy-2 aimed at the correlation between cognitive type of teacher content knowledge and teaching practice. Finally, substudy-3 was a case study on examining middle grades mathematics teachers’ knowledge and understanding of fraction division.     

Mathematics achievement,language and cognitive development: Classroom practices in Papua New Guinea

A case study was conducted of mathematics instruction at five sites in Papua New Guinea. Trial instructional materials were developed, teachers received inservice training and implementation was carefully monitored for a six-week period. English and mathematics achievement instruments and eight measures of cognitive development were administered to a sample of 201 students in grades two, four and six. Mathematics and language achievement varied significantly among the five sites. Students at all grade levels exhibited poor application of problem solving skills while showing computation, measurement and mathematical language abilities superior to results previously reported. English reading and measures of conservation and classification competence were highly correlated with mathematics achievement. Correlations between memory measures and mathematics achievement decreased from grade two to grade six while correlations between measures of language and cognitive development and mathematics achievement tended to increase. The results indicated that the non-consumable student textbooks ameliorated to some extent the problems associated with non-native language instruction for the students involved in the study. It was concluded that locally developed textbooks with an appropriate language load would enhance mathematics learning, particularly in remote-rural areas where current teaching conditions and lack of materials interact with poor English skills to create an imbalance in achievement.     

Minute math: An action research study of student self-assessment

Forty-one students in two third grade classes, including special education students, participated in an action research project conducted jointly by two university supervisors, three teachers, and three student teachers. The “Minute Math” project involved students in predicting and graphing their test scores on a weekly conventional timed test of the 0–9 multiplication facts. Students also reflected each week on their progress and the success of their studying and problem-solving strategies. Student self-assessment was successful at turning the rote memorization task of learning the times tables into a deeper experience for students about monitoring their own mathematics learning. This revised version was published online in July 2006 with corrections to the Cover Date.     

Consistency of report card grades and external assessments in a Canadian province

The study investigated how well report card grades communicate to students and parents that state educational standards are being met, standards that are objectively measured by infrequently administered mandated assessments. Data sources were report card grades and external assessment scores for 2006–09 for Ontario Canada. The information that parents and students received about student performance from report cards and external assessments were similar (r _s  = .47) to the r = .40–.60 range previously reported. Teachers assigned higher grades than external assessments warranted, even after a major source of construct irrelevant variance in report card grades (teacher ratings on multiple scales measuring student effort and school commitment) was controlled. The relationship of grades to assessment scores was robust across genders, school district types (Public versus Catholic) and language (English and French). Agreement of assessments was higher for grade 6 than for grade 3 and for Writing than for Reading or Mathematics. Report cards provided information about students’ future achievement that was accurate and delivered up to 2 years prior to the administration of external assessments. Seventy to 80% of students who reached the provincial achievement standard on one or both prior report cards were successful on the subsequent external assessment, compared to 30–50% of students who failed to meet the report card standard at least once.     

The effects of cooperative learning on Turkish elementary students’ mathematics achievement and attitude towards mathematics using TAI and STAD methods

This study was designed to compare the effects of Team Assisted Individualization (TAI) and Student Teams-Achievement Divisions (STAD) on fourth grade students’ academic achievement in and attitudes towards mathematics. Seven classes of a school were randomly selected for this experimental study. Two of these were given instruction through TAI; two through STAD, and the remaining three were treated as a control group. For the purpose of the data analysis regarding academic achievement, the 3 X 1 covariance analysis was used to compare the groups. As a result of this comparison, both the TAI and STAD methods were found to have positive effects (d = 1.003 for TAI and d = 0.40 for STAD) on students’ academic achievement in mathematics. The pairwise comparisons showed that the TAI method had a more significant effect than the STAD method. The scores for the attitude towards mathematics were analyzed by using non-parametric statistics. As a result of this analysis, no significant difference was observed regarding students’ attitudes towards mathematics.     

Effect of School Decentralization and School Climate on Student Mathematics Performance: The Case of Hong Kong

For more than a decade, the Government of Hong Kong has instituted a policy of school decentralization aimed at devolving authority to all stakeholders, including the representatives of School Sponsoring Bodies, principals, teachers, parents, and community members. This study examines the relative contribution of two dimensions of school decentralization – teacher participation and school autonomy – to students' mathematics performance, and examines the role of school climate as a mediating variable between decentralization and performance. Data for the present study come from the second cycle of the Programme for International Student Assessment (PISA 2003), which is a large international assessment measuring 15-year-old students' literacy performance across over 40 countries and regions around the world. Using multi-level analysis, the study finds that teacher participation is more important than school autonomy for student mathematics performance in Hong Kong. In addition, the effect of teacher participation on students' performance is mediated by four major school climatic factors – sense of belonging, disciplinary climate, students' morale and student behaviour – in Hong Kong's secondary schools.     

The Link Between Middle School Mathematics Course Placement and Achievement

The proportion of eighth graders in United States public schools enrolled in algebra or a more advanced mathematics course doubled between 1990 and 2011. This article uses Early Childhood Longitudinal Study's Kindergarten Cohort data to consider the selection process into advanced middle school mathematics courses and estimate the effects of advanced courses on students’ mathematics achievement (n = 6,425; mean age at eighth grade = 13.7). Eighth‐grade algebra and geometry course placements are academically selective, but considerable between‐school variation exists in students’ odds of taking these advanced courses. While analyses indicate that advanced middle school mathematics courses boost student achievement, these effects are most pronounced in content areas closely related to class content and may be contingent on student academic readiness.     

Examining Hispanic Student Mathematics Performance on High-Stakes Tests: An Examination of One Urban School District in Colorado

Hispanic students, born both inside and outside the United States, comprise over 80% of the US English language learner population. The difference in mathematics achievement among Hispanic students and other populations has been well documented. As a result, it is important to understand the effects of using standards-based mathematics curriculum with high school Hispanic students. Mathematics achievement scores from the Colorado Student Assessment Program and Measurement of Academic Progress for Hispanic 9th and 10th grade students (n = 1,318) who used the Core-Plus Mathematics Program were compared to the progress of other student demographics (n = 2,003) who used the same curriculum. In following the recommendations of the National Research Council (On evaluation curricular effectiveness: judging the effectiveness of K-12 mathematics evaluations. National Academies Press, Washington, DC 2005), a meta-analysis (Glass in Educ Res 5:3–8, 1976) of Hispanic students using National Science Foundation Funded (NSFF) curricula was conducted to contextualize this study’s findings within the findings of previous studies. The results of this study indicated that Hispanic students have shown modest gains; however, their relative position compared to other ethnic groups is unremarkable. The meta-analysis Cohen’s d results ranged from +.673 (SE = .131) to −.670 (SE = .045) with slightly positive effects for Hispanic students using an NSFF curriculum when compared to those not using an NSFF curriculum (.043, SE = .012).     

The Impact of Sustained, Standards-Based Professional Learning on Second and Third Grade Teachers’ Content and Pedagogical Knowledge in Integrated Mathematics

This 3 year longitudinal study reports the feasibility of an Improving Teacher Quality: No Child Left Behind project for impacting teachers’ content and pedagogical knowledge in mathematics in nine Title I elementary schools in the southeastern United States. Data were collected for 3 years to determine the impact of standards and research-based teacher training on these aspects of teacher quality. Content knowledge for the scope of this research study refers to the knowledge that teachers have about subject matter. Teacher quality is directly related to teachers’ “highly qualified” status, as defined by the No Child Left Behind mandate. According to this mandate, every classroom should have a teacher qualified to teach in his subject area and be able to “raise the percentage of students who are proficient in reading and math, and in narrowing the test-score gap between advantaged and disadvantaged students.” Participants were six second grade and seven third grade teachers of mathematics from nine schools within one failing school district. The implementation of standards-based methods in the nine Title I Schools increased teacher quality in elementary school mathematics. In fact, qualitative and quantitative data revealed significant gains in teachers’ mathematics content and pedagogical knowledge at both grade levels.     

Teacher behavior and student outcomes: Results of a European study

This study investigates the extent to which the factors included in the dynamic model of educational effectiveness are associated with student achievement gains in six different European countries. At classroom level, the dynamic model refers to eight factors relating to teacher behavior in the classroom: orientation, structuring, questioning, teaching-modeling, application, management of time, teacher role in making classroom a learning environment, and classroom assessment. This paper presents results concerned with the impact of the teacher factors on student achievement. In each participating country (i.e., Belgium/Flanders, Cyprus, Germany, Greece, Ireland, and Slovenia), a sample of at least 50 primary schools (n?=?334) was drawn. Written tests in mathematics and science were administered to all grade 4 students (n?=?10,742) at the beginning and at the end of the school year 2010–2011. Students were also asked to complete a questionnaire concerning the eight teacher factors of the dynamic model. Structural equation modeling techniques were used to test the construct validity of the student questionnaire. Both across and within country analyses revealed that student ratings are reliable and valid for measuring the functioning of the teacher factors included in the dynamic model. Multilevel analyses revealed that teacher factors are associated with student achievement gains in mathematics and science. Implications for the development of educational effectiveness research and for improving quality of teaching are drawn.     

Depressive Symptoms in Third‐Grade Teachers: Relations to Classroom Quality and Student Achievement

This study investigated associations among third‐grade teachers' (N = 27) symptoms of depression, quality of the classroom‐learning environment (CLE), and students' (N = 523, M_age = 8.6 years) math and literacy performance. teachers' depressive symptoms in the winter negatively predicted students' spring mathematics achievement. This depended on students' fall mathematics scores; students who began the year with weaker math skills and were in classrooms where teachers reported more depressive symptoms achieved smaller gains than did peers whose teachers reported fewer symptoms. teachers' depressive symptoms were negatively associated with quality of CLE, and quality of CLE mediated the association between depressive symptoms and student achievement. The findings point to the importance of teachers' mental health, with implications for policy and practice.     

Achievement gains from reconfiguring early schooling: The case of Brazil's primary education reform

We estimate the effect on primary school students’ achievement of a Brazilian policy that changed the entry age into first grade from seven to six years old. Before the policy, a typical child spent up to three years in pre-school, and four years in primary school. The reform reorganized the system so that pupils would spend two years in pre-school (at ages 4 and 5) and five years in primary education. The timing of national tests and of the incremental process of implementing the reorganization allowed us to use a DDD approach to make causal estimates of its effect on student achievement. The reform increased 5th grade students’ mathematics scores by 0.10 SDs and reading scores by 0.12 SDs over student gains in untreated schools. These effects are robust across various treated cohorts, and across alternative samples of schools.     

The relationship between teaching practices and student achievement in first year classes

This study investigated the links between the teaching practices of primary school teachers (n = 200) who were observed while presenting a new text to their first year classes, and the student achievement levels in those classes. The teaching practices are specifically concerned with the way the teachers supported and encouraged students’ activities during verbal interactions. Two different populations were observed: classes of first year students with a reduced teacher–student ratio (about ten students per class) and classes with a normal teacher–student ratio (between 20 and 25 students per class). We found that the average level of student achievement in the reduced size classes was higher than in the standard size classes but that teaching practices differed only at precise periods of group or individual introduction to new reading texts. In these periods, we found links between teaching practices and student achievement.