Nanotechnology is an emerging field of engineering. Awareness needs to be fostered in the K-12 education system in order to sustain its expansion. As a current Algebra 1 teacher, I participated in the NASCENT research program to further my education in nanotechnology and find ways to integrate this content and practices in my Science Technology Engineering and Math (STEM) based Algebra 1 curriculum. During the research, I learned about surface tension of solids and liquids and its effects on materials' wetting properties. After completing the research program, I created a 2-week long project where students will replicate my experiences during this research. The purpose of this report is to investigate the need for the integration of nanotechnology in STEM classes and find ways to turn my research experience into real-world learning opportunities for my students. / text

School administrators are charged with guiding, overseeing, and ensuring the successful education of all students. They use myriad techniques to this end, though not all students share in the success. For example, Black male students are more likely to underperform than are other groups of students, which places their academic and economic survival at risk (Kirsch, Braun, Yamamoto, and Sum, 2007). The focus of this study was on Black male student performance in Algebra 1. Algebra 1 plays a pivotal role in academic success and is a leading indicator of a students likelihood of success in advanced mathematics courses (Wang and Goldschmidt, 2003). Failure to learn and understand the content in Algebra 1 results in limitations on further mathematical opportunities in the short-term, which, in turn, reduces prospects for continued education beyond secondary school. The purpose of this study was to examine and identify specific school leadership practices that influence and improve the Algebra 1 performance of Black male students. Interviews with principals, lead math teachers, and school counselors provided qualitative data related to school-level leadership practices. Additionally, I conducted document reviews of school newsletters, parent letters, robocall messages, lesson plans, and websites. Analyses of the interviews and documents revealed six themes: (a) effective instructional leadership, (b) culture of collaboration, (c) facilitation and scheduling, (d) parental involvement, (e) intervention and remediation, and (f) resources. This study has implications and applications for the practices of school leaders, mathematics teaching and learning, and programs to support Black male students. / Ed. D. / The Algebra 1 performance gap between Black males and their White counterparts has been well documented by statistical data from national assessment databases (i.e., National Center for Education Statistics [NCES]). Unfortunately, there have been few considerations as to how to combat the issue of low performance in mathematics, specifically Algebra 1, by Black male students. Improving the Algebra 1 performance of Black male students is a priority for many school leaders because of today’s high stakes testing and accountability requirements. The purpose of this study was to examine and identify specific school leadership practices that influence and improve the Algebra 1 performance of Black male students. Interviews with principals, lead math teachers, and school counselors provided qualitative data related to school-level leadership practices. Document reviews included the school newsletters, parent letters, robocall messages, lesson plans, and websites. Analyses of interviews and documents from two schools revealed six themes: (a) effective instructional leadership, (b) culture of collaboration, (c) facilitation and scheduling, (d) parental involvement, (e) intervention and remediation, and (f) resources. Themes are discussed to support the school leadership practices that improve the Algebra 1 performance of Black male students.

The purpose of this research was to compare American and Albanian students’ achievement in Algebra 1. The study compared algebraic solving abilities of 219 students in a city of Albania and 242 ninth-grade American students, residents of an American region. Albanian sample did not use calculators on the test. Of the American sample, 97 students used calculators on the test, whereas 145 did not use them. The three research questions addressed: (1) students’ mastering of the overall algebraic achievement, (2) students’ mastering of specific domains of algebraic understanding: knowing, applying, and reasoning, and (3) students’ preference of algebraic strategies for solving word-problems. The study found that Albanian students outperformed American students on the overall achievement. However, American students who used calculators on the test significantly outperformed not only the American group who did not use calculators on the test, but also the entire Albanian sample. In addition, Albanian students scored significantly higher than their American peers both on 2 out of 3 cognitive domains and on using algebraic strategies.

The purpose of this research was to compare American and Albanian students’ achievement in Algebra 1. The study compared algebraic solving abilities of 219 students in a city of Albania and 242 ninth-grade American students, residents of an American region. Albanian sample did not use calculators on the test. Of the American sample, 97 students used calculators on the test, whereas 145 did not use them. The three research questions addressed: (1) students’ mastering of the overall algebraic achievement, (2) students’ mastering of specific domains of algebraic understanding: knowing, applying, and reasoning, and (3) students’ preference of algebraic strategies for solving word-problems. The study found that Albanian students outperformed American students on the overall achievement. However, American students who used calculators on the test significantly outperformed not only the American group who did not use calculators on the test, but also the entire Albanian sample. In addition, Albanian students scored significantly higher than their American peers both on 2 out of 3 cognitive domains and on using algebraic strategies.

The purpose of this study was to assess the impact of a school division policy on early algebra on students' course taking patterns in high school. Over the past two decades, there has been significant growth in the number of students taking Algebra 1 in middle school. Research about the advantages and drawbacks to completing Algebra 1 prior to high school have mixed conclusions, with some suggesting that students benefit from the opportunity to take more advanced mathematics and science courses in high school and others concluding that students are more likely to fail and need to repeat courses if they take Algebra 1 early (Stein et al., 2011). Most of the research has focused on students taking Algebra 1 in eighth grade. At the same time, there is an ever-growing group of students seeking to take Algebra 1 even earlier, as evidenced by expansive growth in the number of students accessing Advanced Placement Calculus prior to twelfth grade (College Board, 1997; College Board, 2017). To assess the impact of early Algebra 1, the researcher considered transcript data for two cohorts of students in a large, suburban school district who took Algebra 1 in seventh or eighth grade. Statistical analysis was performed to assess whether students were likely to access the highest level mathematics courses available to them, whether they were staying in mathematics courses throughout all years of high school, and what patterns might emerge in mathematics and science course taking for students based on when they took Algebra 1. The findings indicated that students in this cohort who took Algebra 1 in eighth grade were more likely to complete the highest level mathematics courses available to them than those who took Algebra 1 in seventh grade, but they also took, on average, fewer total mathematics and science courses. For all students taking middle school Algebra 1, there were sharp declines in students accessing honors-level mathematics coursework as they advanced through the mathematics sequence. / Doctor of Education / The purpose of this study is to assess the impact of a school division policy on early algebra on students' course taking patterns in high school. Over the past two decades, there has been significant growth in the number of students taking Algebra 1 in middle school. Research about the advantages and drawbacks to completing Algebra 1 prior to high school have mixed conclusions, with some suggesting that students benefit from the opportunity to take more advanced mathematics and science courses in high school and others concluding that students are more likely to fail and need to repeat courses if they take Algebra 1 early (Stein et al., 2011). Most of the research has focused on students taking Algebra 1 in eighth grade. At the same time, there is an ever-growing group of students seeking to take Algebra 1 even earlier, as evidenced by expansive growth in the number of students accessing Advanced Placement Calculus prior to twelfth grade (College Board, 1997; College Board, 2017). To assess the impact of early Algebra 1, the researcher considered transcript data for two cohorts of students in a large, suburban school district who took Algebra 1 in seventh or eighth grade. Statistical analysis was performed to assess whether students were likely to access the highest level mathematics courses available to them, whether they were staying in mathematics courses throughout all years of high school, and what patterns might emerge in mathematics and science course taking for students based on when they took Algebra 1. The findings indicate that students in this cohort who took Algebra 1 in eighth grade were more likely to complete the highest-level mathematics courses available to them than those who took Algebra 1 in seventh grade, but they also took on average fewer total mathematics and science courses. For all students taking middle school Algebra 1, there were sharp declines in students accessing honors-level mathematics coursework as they advanced through the mathematics sequence.

Algebra 1 is considered an essential course to master in order to understand the concepts of higher-order mathematics, and the California accountability system designates this course for completion in 8th grade. In Shelton County, however, placement of 8th graders in this course is based on feeder school, rather than student ability, resulting in inequitable access. The purpose of this case study was to examine the experiences of administrators who place individual students in mathematics courses and the factors that influence their placement decisions. The conceptual framework for the study was administrative theory as related to processes of effective decision making. Eighteen administrators from 9 local districts described their experiences as they made decisions to place 8th grade students in Algebra 1. Seventeen administrators completed a semi-structured questionnaire on the placement decision-making process, 9 participated in follow-up semi-structured interviews, and 1 was interviewed only. Data were transcribed, open coded, and thematically analyzed. They key findings that affected placement decisions included that many students entered middle school unprepared for algebra, the local mathematics programs were not coherently designed, and aspects of an effective action-cycle decision-making process were absent. A position paper was developed that offers policy and practice recommendations that address these findings. Key recommendations include implementing clear policy, pursuing a coherent instructional program, providing student support interventions, and utilizing assessment and placement processes. This project study advances positive social change by engaging educational leaders at the local site to develop their professional practice and enhance the quality of their organizations' mathematics education program.

The purpose of this study was to compare achievement results of students enrolled in traditional and virtual Algebra 1 courses in the School District of Volusia County, Florida and to identify which educational interventions are utilized by traditional and online teachers to promote student success, especially for at-risk populations. Two research questions guided this study. This study is significant, as school districts expand virtual options for K-12 students to meet legislative mandates and student demand, while also exploring and developing methods to ensure student success. Student scores on the Florida Algebra 1 End of Course Exam (EOC) were compared to determine what difference, if any, existed in the performance of students in traditional face-toface classrooms and virtual settings. Surveys were also distributed to traditional brick-andmortar and virtual teachers to identify which educational interventions were provided to at-risk students and to measure teacher perception of the relative effectiveness of those interventions in each setting. One-sample t-test results indicated a statistically significant difference in the mean scale scores of traditional and virtual students on the Florida Algebra 1 EOC. Survey responses indicated little variation in the interventions provided by teachers to at-risk students in each setting. Low effectiveness ratings for interventions in the Resources category, such as Mentors from the Community, warrant further investigation, as these responses run counter to previous research. Due to this study’s small sample and wide disparity between the number of traditional and virtual students, caution is advised in the interpretation of results.

The objective of this study is to examine the impact of students accessing Algebra 1 in the 8th grade on their science course-taking patterns in high school in a large district in the Mid Atlantic of the United States. This is an important question because many studies have shown that Algebra 1 is a "gatekeeper" course (Adelman, 1999, 2006) but there has not been much research around the impact of who has taken Algebra 1 by 8th grade and what science courses they took as a result of having access to that particular course (Xin Ma, 2009). The data will be supplied by the school district of the last two cohorts of graduating seniors who were in the district from the seventh grade on, so the analysis can be conducted on those who were subject to the same opportunities and policies. The demographic information that will be requested are: Free/Reduced Meal students (FRMS) as a proxy for socio-economic status (SES), gender, race, English as a Second Language (ESOL) level, Special Education (SPED), what grade the students took Algebra, and the science classes they took while they were in high school. The research questions will be analyzed using JMP, a statistics program supplied by Virginia Tech to see if there are any significant differences in which groups of students took Algebra 1 by 8th grade and what kinds of science courses they took. The major findings were that more White and Asian students, and higher SES students accessed Algebra 1 by 8th grade and were enrolled in more rigorous science classes in their high school career than their Black, Hispanic, low SES, Special Education or English Language peers. The results of this study could inform large school districts about the impact of Algebra 1 by 8th grade on students' science course-taking patterns and promote conversations about their policies they create about access to critical courses. / Doctor of Education / The objective of this study is to examine the impact of students accessing Algebra 1 in the 8th grade on their science course-taking patterns in high school in a large district in the Mid Atlantic of the United States. This is an important question because many studies have shown that Algebra 1 is a "gatekeeper" course (Adelman, 1999, 2006) but there has not been much research around the impact of who has taken Algebra 1 by 8th grade and what science courses they took as a result of having access to that particular course (Xin Ma, 2009). The major findings were that more White and Asian students, and higher SES students accessed Algebra 1 by 8th grade and were also enrolled in more rigorous science classes in their high school career than their Black, Hispanic, low SES, Special Education or English Language peers. The results of this study could inform large school districts about the impact of Algebra 1 by 8th grade on students' science course-taking patterns and promote conversations about their policies they create about access to critical courses. The research could be used by school leaders as context for when they examine the participation of students in their upper level science classes. It could also be used by school counselors to better communicate with families about the importance of mathematics preparation and readiness and the impact of those on other college track courses.

Despite the academic gap between students with learning disabilities (LD) and their nondisabled peers, schools continue to educate students with LD in regular education classrooms. In secondary math classes, such as Algebra 1, students with LD have high percentages of failure. The purpose of this cross-sectional study was to examine the relationship between teachers' personal theories of teaching and learning and their use of math interventions. Fox's (1983) theoretical framework of teaching and learning was used as a conceptual lens. Surveys were administered to 20 high school math teachers in an urban Northeastern U.S. school district. An ordinal logistic regression statistical test was used to analyze relationships between teachers' personal theories of teaching and learning and their use of math interventions, years of experience, gender, ethnicity, and age. A statistically significant relationship was found between teachers' years of experience and their use of math interventions, p = .031. Teachers with 6 or more years of teaching experience self-reported using math interventions more frequently than did teachers with 5 or fewer years of teaching experience. Recommendations for future research include examining why teachers with more years of teaching self-reported using math interventions more than did less experienced teachers and the impact, if any, of the use of math interventions on students with LD's academic performance in Algebra 1. This study can lead to positive social change by providing college and university secondary math candidates with training on how to use math intervention to teach algebra to students with LD.

The focus of this research was on the effect of school schedules on student achievement for ninth-grade students in a Florida school district. Data were collected from two central Florida high schools from the 2011-2012 and 2012-2013 school years. Five one-way analyses of covariance (ANCOVA) were performed to ascertain if there was any interaction between school schedules and student achievement. Examined were the interactions (a) between schedule and schools, (b) schedule and male students, (c) schedule and female students, (d) schedule and Black students, and (e) schedule and Hispanic students. The independent variable, school schedule, consisted of two levels: traditional schedule and A/B block schedule. The dependent variable was the spring Algebra 1 End- of-Course Examination (EOC), and the covariate was the Florida Comprehensive Assessment Test (FCAT) Mathematics Eighth-grade Development Scale Score. School schedule was not significantly related to students' spring Algebra 1 EOC scores, F(1,788) p = .932. School schedule was not significantly related to male students' spring Algebra 1 EOC scores, F(1,392) p = .698. School schedule was not significantly related to female students' spring Algebra 1 EOC scores, F(1,393) p = .579. School schedule was not significantly related to Black students' spring Algebra 1 EOC scores, F(1,186) p = .545. School schedule was not significantly related to Hispanic students' spring Algebra 1 EOC scores, F (1,184) p = .700.