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University of Missouri, St. Louis

Theses/Dissertations

2021

Mathematics

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At The Top Of The Chart: A Composite Counterstory Of Black Students’ Mathematical Success, Joslyn N. Richardson Apr 2021

At The Top Of The Chart: A Composite Counterstory Of Black Students’ Mathematical Success, Joslyn N. Richardson

Dissertations

Mathematics as a discipline has ignored the experiences of African American students, making it difficult for them to develop strong mathematical identities and racial identities in relation to math. Black children and their academic achievements are often framed negatively, and underachievement and failure are often emphasized over their brilliance and resilience. This qualitative study adds to the limited body of knowledge by examining student perspectives and socialization factors that contribute to positive math identity and achievement in middle school students. Using a Critical Race Theory framework, data was collected through semi-structured interviews and math autobiographies that were structured around the …


Matrix Product Structure Of A Permuted Quasi Cyclic Code And Its Dual, Perian Perdhiku Apr 2021

Matrix Product Structure Of A Permuted Quasi Cyclic Code And Its Dual, Perian Perdhiku

Dissertations

In my Dissertation I will work mostly with Permuted Quasi Cyclic Codes. They are a generalization of Cyclic Codes, one of the most important families of Linear Codes in Coding Theory. Linear Codes are very useful in error detection and correction. Error Detection and Correction is a technique that first detects the corrupted data sent from some transmitter over unreliable communication channels and then corrects the errors and reconstructs the original data. Unlike linear codes, cyclic codes are used to correct errors where the pattern is not clear and the error occurs in a short segment of …