The purpose of this study was to determine whether students taught by certified teachers and those taught by uncertified teachers had significantly different achievement on a state Algebra I End of Course examination. The specific research questions were: (1) Does type of teacher certification impact Algebra I End of Course (EOC) Exam scores for high school freshman when controlling for students' past mathematics success as measured by 8th grade TAAS mathematics test scores and teachers' years of experience? (2) Does type of teacher certification impact Algebra I End of Course (EOC) Exam passage rates for high school freshman when controlling for students' past mathematics success as measured by 8th grade TAAS mathematics test scores, socio-economic status, ethnicity, gender, and teachers' years of experience? This research was conducted in a large north Texas suburban school district. The entire population (N=1,433) of freshman students enrolled in year-long Algebra I was included for this study. Three statistical tests were used in data analysis for the first question. Analysis of covariance using student as well as teacher as the unit of analysis and hierarchical multiple regression were used to analyze students' specific scores. Logistic regression was used for the second research question. This study found that students in classes with non-certified teachers scored eight points lower on the Algebra I EOC Exam than those in classes with certified teachers. However, when controlling for students' prior mathematics achievement and other variables, the difference was of no practical significance. There was no practical significance in a student's odds of passing the examination between students in certified teachers' classrooms and those in uncertified teachers' classrooms. The results of this study offer further understanding of the debate over type of certification.

The purpose of the current study was to discern the effects of three latent constructs – self-efficacy, academic engagement, and student-teacher relationships on Algebra I achievement among ninth-grade African American male students. A nationally representative sample from the High School Longitudinal Study of 2009 (HSLS09) was used in the study. Study participants were 697 African American males enrolled in ninth grade in the fall of 2009 across the United States. Structural Equation Modeling (SEM) analytical procedures were performed to test the hypothesized relationships of Bandura’s social cognitive theory (SCT) theoretical assumptions. The results indicate that the three latent variables directly or indirectly were related to Algebra I achievement among ninth grade African American male students. Moreover, the results revealed that self-efficacy and student-teacher relationships constructs had direct significant impact on Algebra I academic performance; nonetheless, the relationships were not strong. These two latent variables had small effect sizes of 5% and 1%, respectively. Combined, self-efficacy, academic engagement, and student-teacher relationships explained only 8% of the variance in the Algebra I achievement among African American males across the United States (R2=.08). The magnitude effect of these factors on Algebra I achievement was minimal. Overall, these findings suggest that the self-efficacy and student-teacher relationships latent variables had a negligible effect as predictors of Algebra I academic success among ninth grade African American male students. A summary of the results are presented and future research is recommended.