The Humanistic Application of Non-Euclidean Geometry: A Transparent Social Network Analysis

This three-manuscript dissertation uses social network analysis to examine distributed leadership as a pedagogical tool to support student-to-student collaborations in undergraduate geometry. The first manuscript is a macro-level literature review of current research on distributed leadership through social network analysis. The second manuscript is a meso-level, empirical study of one undergraduate geometry course. The third manuscript is a micro-level autoethnography utilizing non-Euclidean geometry to critically examine my experiences as a transparent through a time of political unrest in the south. Together, the three manuscripts provide a scoping review of how distributed leadership is operationalized in the educational setting through social network analysis, empirical observation of how distributed leadership was implemented in pedagogical practice, and liberatory methodologies that offer new applications to express one’s identity in mathematics.