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University of Central Florida

Theses/Dissertations

2014

Mathematics

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A Systematic Review Of Research On Successful African American Students In Mathematics: Implications For Seminole High School, Trung Vong Jan 2014

A Systematic Review Of Research On Successful African American Students In Mathematics: Implications For Seminole High School, Trung Vong

Electronic Theses and Dissertations

The purpose of this study was to synthesize the counter-narratives of mathematically successful African American students. The gap in educational achievement between African American and White students is well documented in the United States, especially in mathematics education. Although Florida Comprehensive Assessment Test scores have increased for both groups at Seminole High School, the gap has remained over 30% for nearly a decade. Most research on this topic has focused on the reasons why African American students fail to achieve. Various individual, social, and organizational factors have been suggested. However, a growing body of research has highlighted the stories of …


Supporting Middle School Students With Emotional Or Behavioral Disorders In Blended Learning: A Fraction Intervention Using Virtual Manipulatives, Barbara Serianni Jan 2014

Supporting Middle School Students With Emotional Or Behavioral Disorders In Blended Learning: A Fraction Intervention Using Virtual Manipulatives, Barbara Serianni

Electronic Theses and Dissertations

Students with emotional or behavioral disorders (EBD) are more likely than other students with disabilities to drop out of school (Blackorby & Wagner, 1996) and suffer societal consequences that include higher probabilities and rates of incarceration, poverty, drug abuse, homelessness, low wages, and unemployment (Bradley, Doolittle, & Bartolotta, 2008; Wagner, 1995). High school graduation is a critical factor to improve post-secondary outcomes for students with EBD; yet it is often mathematics, specifically algebra, that stands in the way of graduation (Blackorby & Wagner). Students with EBD often enter middle school lacking foundational mathematics skills, such as fractions, which sets them …


Inversion Of The Broken Ray Transform, Roman Krylov Jan 2014

Inversion Of The Broken Ray Transform, Roman Krylov

Electronic Theses and Dissertations

The broken ray transform (BRT) is an integral of a function along a union of two rays with a common vertex. Consider an X-ray beam scanning an object of interest. The ray undergoes attenuation and scatters in all directions inside the object. This phenomena may happen repeatedly until the photons either exit the object or are completely absorbed. In our work we assume the single scattering approximation when the intensity of the rays scattered more than once is negligibly small. Among all paths that the scattered rays travel inside the object we pick the one that is a union of …