We introduce the "Whitehead complex", a one-complex associated to a finite regular cover of the rose and show that it is connected if and only if the fundamental group of the associated cover is generated by its intersection with the set of elements in proper free factors of the fundamental group of the rose. The Whitehead complex admits…

My experiences and identity as an African immigrant who attended a predominantly White institution (PWI) has served as the foundation for my scholarship interests and research questions. I experienced challenges in developing relationships with African American peers. These challenges led me to research factors that influence the relationships…

The purpose of this study was to investigate the effects of a transition to homogenous ability grouping between secondary grades on MAP test scores in an international private school in Dubai. Participants were students who have been enrolled at PISD for two years for grades 6, 7, 8, or 9 from 2020-2022 and who have presented MAP test scores both…

This dissertation disaggregates the "Hispanic" category to examine the various factors shaping the educational trajectories of students who encompass this large ethnic group. This project consists of three studies, each presenting the perspectives of principal stakeholders: families, schools, and a community-based educational initiative.…

The purpose of this quasi-experimental, ex-post facto study was to determine through quantitative analysis of longitudinal data, the effects of homogeneous differentiation on reading achievement. Specifically, the study sought to determine the achievement differences in reading of students who were taught using a within-class grouping method or a…

The purpose of this quantitative study was to determine the effectiveness of one specific freshman mathematics intervention program on improving students' mathematics knowledge and to examine student perceptions and attitudes towards mathematics. Students participating in the mathematics intervention program were assigned to two math classes each…

An achievement gap exists in mathematics between low-income African American male students and their European American counterparts. Although this problem has been approached using different interventions with minimal results, the impact of homogenous grouping is not well understood in spite of its use. As a result, this study was conducted to…

The purpose of this study was to examine third-grade student achievement in mathematics and reading for students who were in skill groups, as compared to those who were traditionally grouped, with student attendance being taken into consideration as a variable of additional comparison. Skill groups are a type of flexible ability grouping, where…

This case study examined the impact of a site-specific intervention for at-risk students in a small rural elementary school in the foothills of North Carolina. The research site uses a small homogenous class setting as a basis for accelerating academic growth for students who are considered at-risk in literacy based on the state-required literacy…

Achievement in mathematics education continues to be a growing concern across the country. Presently, schools continue to struggle with the best methods and strategies to implement effective mathematics programs while working towards closing achievement gaps for those students who are not meeting the standards. The Rhode Island Department of…

Since at least Verkuyl (1972), aktionsart has been considered a property of phrasal configurations minimally resulting from a combination of a predicate and its internal argument. This has been demonstrated most clearly in the literature on telicity where certain predicate-argument configurations allow for a telic interpretation while others…

This action research study focused on how various grouping strategies influenced preservice teachers' differentiation of instruction. The participants included a third grade mentor teacher and three preservice teacher candidates. The candidate preparation curriculum consisted of seminars, daily field-based learning experiences, and ongoing…

In response to the mandates of No Child Left Behind, (NCLB), educators across the country struggle to close the gaps between males and females. Some of the physiological differences existing between the male and female brain suggest support for single-gender instruction, which is on the rise within this country as well as other parts of the world.…

Advocates for multi-age classrooms claim multi-age groupings benefit children (Brynes, Shuster, & Jones, 1994). Currently, there is a lack of research examining play among students in multi-age classrooms. If indeed there is a positive benefit of play among children, research is needed to examine these behaviors among and between young children in…

The purpose of this qualitative study was to explore the interconnectedness of the environment, human development, and the factors that influence students' academic performance in a homogeneous ability grouped mathematics classroom. The study consisted of four African American urban high school juniors, 2 male and 2 female. During the 12 week…