Traylor, Reginald D.2022-02-032022-02-03197113678722https://hdl.handle.net/10657/8650Professor R. L. Moore has bee^ one of America’s most productive mathematicians and mathematics teachers. Mathematics has made giant strides, particularly in topology, due to Professor Moore and his descendants. Also, Professor Moore introduced and perpetuated a Socratic style of teaching which has been used, sometimes with personal variations, by many of his mathematical descendants. This paper is a partial assessment of Dr. Moore’s influence on American mathematicians. Mathematicians who have studied under Professor Moore and their mathematical descendants plus mathematical results published by these mathematicians are the bases used in this evaluation. Conclusions have been drawn, with comparison to national surveys when possible.application/pdfenThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. §107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.Thesisreformatted digital