The purpose of this meta-analysis was to better understand the relationship between the substantive-content focus of professional development for inservice teachers of mathematics and their students' achievement. That professional development for teachers enhances student achievement has been well established by recent studies; however, those meta-analyses have studied structural characteristics such as the duration and the format/delivery method of the professional development. It is important to understand how the focus of professional development relates to student achievement because different foci must still compete not only among themselves but also with other instructional-improvement strategies (such as high-stakes testing, accountability, and curriculum reform) for limited resources, such as time and money. Hence, having evidence that professional development works and, more importantly, a better understanding of what focus comprises more effective professional development is not just of theoretical importance, it is also a policy-relevant imperative. The study's results indicated that the focus of professional development is, in fact, a significant and educationally important predictor of variation in student-achievement effect sizes.

Elementary math teachers (76) from selected Texas schools that included Grade 5 responded to an online self-report survey with respect to school-level factors that may be associated with student math achievement. Questions on the survey focused on school-level factors related to math, campus leadership, integration of technology in the math classroom, teacher expectations, utilization of student data in decision-making and professional development. The schools included in the study were rated as Acceptable or Exemplary schools by the Texas Education Agency for three-consecutive years (2007-2010). Logistic regression techniques were used to analyze the data and 11 questions out of 45 were analyzed to determine the odds ratio. Factors that were correlated with being an Exemplary campus were teacher certification routes, not benchmarking student progress, implementation of response to intervention (RTI), classroom management focus (equally divided between student and teacher centered) within the classroom, and technology integration. The results indicated that at the .05 level of probability, the only factor that met that level of significance was full implementation of RTI.

Students’ mathematic achievement has not met national, state, or local expectations for decades. The No Child Left Behind Act mandated that by school year 2013-2014, all students in public schools across the nation are to perform at the proficient level or higher in math. The specific problem addressed in the present study was low measures of students’ math achievement in one Mississippi school district. Prior research suggested that math anxiety was a major factor that influenced students’ math performances. Hypothesis 1 for this study stated there is a statistically significant negative relationship between seventh grade students’ math anxiety scores and their math achievement scores. Hypothesis 2 stated there is not a statistically significant difference in measures of math anxiety between 7th grade boys and girls. Hypothesis 3 stated there is not a statistically significant difference in measures of math anxiety between Black and White 7th grade students. To test hypothesis 1, a correlation coefficient was computed using the Pearson Product-Moment Coefficient, also known as Pearson r. To test hypotheses 2 and 3, a t-Test was used to determine whether differences between the means for math anxiety for the two samples were significant. The results of this study indicate that math anxiety and math achievement are negatively related. As math anxiety increased, measures of math achievement decreased. The results of this study also suggest that math anxiety is a general concern for all students, in that there were no differences in measures of math anxiety between boys and girls or Black students and White students. It is very important that teachers take the time to identify students who have math anxiety so they can assist the students by implementing strategies and techniques to eliminate math anxiety for those students who may benefit with higher math achievement.

Low math achievement among elementary school students is a concern because students who lack a strong early foundation in mathematics may experience difficulty learning in future mathematics classes. Students in 2 rural southeastern school districts demonstrated low math achievement in 5th grade and their scores declined from 3rd to 5th grade. In this quantitative study, teacher-related factors that research has shown to predict student achievement were examined using Bandura's theory of self-efficacy and Ball and McDiarmid's emerging theory of subject matter content knowledge. The research question asked whether the teacher factors, years of teaching experience, hours of professional development in math pedagogy, college math courses completed, math teacher preparation courses, and teaching efficacy, predicted student math achievement in the 2 districts. Data were collected from 29 3rd grade teachers and 32 5th grade teachers and analyzed using binary logistic regression. The findings showed that the combination of predictors did not significantly predict math achievement of 5th grade students. However, teachers who had 1 to 9 years of teaching experience were more likely to have students with higher math achievement than those with more than 20 years of experience (OR = 4.96; p = .048). The inconclusive results indicate that additional factors that might influence students' math achievement have to be explored and additional professional development has to be offered, especially for teachers who have been teaching for 2 decades as they might have learned curriculum and pedagogy different from current practice. Positive social change will occur when all elementary teachers are able to facilitate students' learning of mathematics and the students successfully master math concepts.

The purpose of the current research was to examine the effects of a sequence of classroom activities that integrated mathematics content with music elements aimed at providing teachers an alternative approach for teaching mathematics. Two classes of third grade students (n=56) from an elementary school in Southern California participated in the research. A random assignment pretest-posttest control group design was used to examine students' changes in mathematics content achievement and the disposition between the two groups. The students in the music group received music-mathematics integrated lessons. A quasi-experiment time series design with multiple pretests, mid-tests and posttests was utilized for investigating the effects of music-mathematics integrated lessons on students' mathematics process ability levels. The results demonstrated that the intervention of a series of music-mathematics integrated lessons had positive effects on the music group students. The findings showed that the music group students had statistically significantly higher scores on mathematics achievement, and mathematics dispositions after the intervention. Moreover, the music group students also showed statistically significant improvement on scores in the mathematics process abilities from pretests to posttests. The study results suggested that music, with its unique features, can be used as a resource for students to make these connections and also as a way for students to represent mathematics in alternative ways. The findings suggest that teachers should take advantage of the opportunities that music offers to help all students learn mathematics in challenging and enjoyable ways developing students' mathematics achievement, mathematical process ability, and mathematics dispositions.

Current research suggests that a high level of confidence and a low level of anxiety are predictive of higher math achievement. Compared to students from other provinces, previous research has found that Saskatchewan students have a higher level of confidence and a lower level of anxiety for learning math, but still tend to achieve lower math scores compared to students in other provinces. The data suggest that there may be unique factors effecting math learning for students in Saskatchewan. The purpose of the study is to determine the factors that may affect Saskatchewan students math achievement. Exploratory factor analyses and regression methods were employed to investigate possible traits that aid students in achieving higher math scores. Results from a 2007 math assessment administered to grade 5 students in Saskatchewan were used for the current study. The goal of the study was to provide a better understanding of the factors and trends unique to students for mathematic achievements in Saskatchewan.<p> Using results from a province-wide math assessment and an accompanying questionnaire administered to students in grade five across public school in Saskatchewan (n=11,279), the present study found statistical significance in three factors that have been supported by previous studies to influence math achievement differences, specifically in (1) confidence in math, (2) parental involvement in math and (3) extracurricular participation in math. The three aforementioned factors were found to be related to math achievement as predicted by the Assessment for Learning (AFL) program in Saskatchewan, although there were reservations to the findings due to a weak amount of variances accounted for in the regression model (r2 =.084). Furthermore, a multivariate analysis of variance indicated gender and locations of schools to have effects on students math achievement scores. Although a high amount of measurement errors in the questionnaire (and subsequently a low variance accounted for by the regression model) limited the scope and implications of the model, future implications and improvements are discussed

Current research suggests that a high level of confidence and a low level of anxiety are predictive of higher math achievement. Compared to students from other provinces, previous research has found that Saskatchewan students have a higher level of confidence and a lower level of anxiety for learning math, but still tend to achieve lower math scores compared to students in other provinces. The data suggest that there may be unique factors effecting math learning for students in Saskatchewan. The purpose of the study is to determine the factors that may affect Saskatchewan students math achievement. Exploratory factor analyses and regression methods were employed to investigate possible traits that aid students in achieving higher math scores. Results from a 2007 math assessment administered to grade 5 students in Saskatchewan were used for the current study. The goal of the study was to provide a better understanding of the factors and trends unique to students for mathematic achievements in Saskatchewan.<p> Using results from a province-wide math assessment and an accompanying questionnaire administered to students in grade five across public school in Saskatchewan (n=11,279), the present study found statistical significance in three factors that have been supported by previous studies to influence math achievement differences, specifically in (1) confidence in math, (2) parental involvement in math and (3) extracurricular participation in math. The three aforementioned factors were found to be related to math achievement as predicted by the Assessment for Learning (AFL) program in Saskatchewan, although there were reservations to the findings due to a weak amount of variances accounted for in the regression model (r2 =.084). Furthermore, a multivariate analysis of variance indicated gender and locations of schools to have effects on students math achievement scores. Although a high amount of measurement errors in the questionnaire (and subsequently a low variance accounted for by the regression model) limited the scope and implications of the model, future implications and improvements are discussed

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This study investigated the effects of motivational email messages on learner self-efficacy and achievement in an asynchronous college algebra and trigonometry course. A pretest-posttest control group design was used. Of the 196 initial participants randomly assigned to treatment groups, 125 participants with an average age of 18.21 years completed the study. The final control and experimental groups consisted of 57 (n=17 male, n=40 female) and 68 (n=14 male, n=54 female) participants respectively. Self-efficacy to learn mathematics asynchronously (SELMA) was measured before the treatment was administered. Email messages designed to be efficacy enhancing were sent to the experimental group weekly for 4 weeks. The control group was sent email messages designed to be neutral with respect to self-efficacy weekly for 4 weeks. SELMA and math achievement were measured after the email messages were sent in week 4. Analysis of covariance was performed using the pretest SELMA measure as a covariate to detect post-treatment differences in SELMA between the control and experimental groups. No significant differences were detected at the 0.05 alpha level. Paired-sample t-Tests revealed significant increases in SELMA for both the control and experimental groups over the treatment period. Linear regression analysis revealed a weak positive relationship between SELMA and math achievement. The findings are discussed in the context of the related literature and directions for future research are suggested. / Ph. D.

This study examined the relationships between math engagement, teacher quality, school factors, and math achievement in middle school students. This study used the Trends in International Mathematics and Science Study (TIMSS) data from the 2007 wave. The data were analyzed using exploratory factor analysis (EFA), confirmatory factor analysis (CFA), and hierarchical linear modeling (HLM). The results EFA and CFA showed that students’ engagement in math classrooms consists of three dimensions: behavior, cognition, and emotion. The results provided evidence in supporting the multidimensional theory of student engagement, and provided a well-developed instrument that could measure students’ math engagement. The findings of HLM analysis indicated that students’ emotional engagement had a positive association with math achievement. In addition, teacher content knowledge displayed a positive effect on achievement, and teacher subject knowledge preparation and students’ emotional engagement showed an interactional effect on achievement. What’s more, school SES was a significant factor that influences math achievement. The findings suggested that students’ math achievement was not only related to students’ engagement, but also varied across class and school level factors. The study had both theoretical and practical significance, providing valuable insights for math education and math learning. / Ph. D. / Math achievement has been considered as a critical issue by policy makers, educators, and researchers. The math achievement of U.S. students lags behind their international peers. Moreover, there are significant and persistent math achievement gaps within U.S. Therefore, in order to improve U.S. students’ math learning, it is important to figure out what factors are significantly related to math achievement and how these factors influence math achievement of different groups. Based on a nationally representative data set, this study examined the association of student math engagement, teacher quality, and school-related factors with student math achievement using the methods of Exploratory factor analysis (EFA), confirmatory factor analysis (CFA), and hierarchical linear modeling (HLM). It was found that students’ math engagement consisted of three dimensions– behavioral engagement, cognitive engagement, and emotional engagement. In addition, students’ emotional engagement, teacher’s content knowledge, and school SES presented positive associations with students’ math achievement. What’s more, teacher subject knowledge preparation and students’ emotional engagement showed an interactional effect on achievement. This study has implications for practice at individual, class, and school level. Enhancing engagement in math learning and increasing teacher quality for all students will have positive effect on math achievement for all students.