Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Entire DC Network
Construction And Simplicity Of The Large Mathieu Groups, Robert Peter Hansen
Construction And Simplicity Of The Large Mathieu Groups, Robert Peter Hansen
Master's Theses
In this thesis, we describe the construction of the Mathieu group M24 given by Ernst Witt in 1938, a construction whose geometry was examined by Jacques Tits in 1964. This construction is achieved by extending the projective semilinear group PΓL3(F4) and its action on the projective plane P²(F4). P²(F4) is the projective plane over the field of 4 elements, with 21 points and 21 lines, and PΓL3(F4) is the largest group sending lines to lines in P²(F4).This plane has 168 6-point subsets, hexads, with the …
African American Community College Student Perceptions Of Mathematics Instructor Immediacy Behaviors And Perceived Cognitive Learning, Georgia Lynne Toland
African American Community College Student Perceptions Of Mathematics Instructor Immediacy Behaviors And Perceived Cognitive Learning, Georgia Lynne Toland
Master's Theses
The purpose of this research is to examine what instructor immediacy behaviors are perceived to most positively affect the perceived cognitive learning of African American community college mathematics students. Data were provided via voluntary student surveys collected in various mathematics classrooms at two community colleges. The survey instrument was modeled from the works of Gorham (1988) and Sanders and Wiseman (1990) and included an experimental survey method of direct questioning. The perceptions of African American community college students regarding the behaviors of their mathematics instructors, along with their stated preferred instructor behaviors, produced a subset of effective strategies similar to …