Daniels, Mark L.Odell, Edward W.2012-11-292017-05-112012-11-292017-05-112012-08August 201http://hdl.handle.net/2152/ETD-UT-2012-08-6163textThis report explores the effect of interactive visualizations on the advancement of mathematics understanding. Not only do interactive visualizations aid mathematicians to expand the body of knowledge of mathematics but it also allows students an efficient way to process the information taught in schools. There are many concepts in mathematics that utilize interactive visualizations and examples of such concepts are illustrated within this report.application/pdfengVisualizationMathematics visualizationNewton's methodVisible structure in numbersOpen disksPolygonal numbersCenter polygonal numbersFigurate numbersContinued fractionTriangular numbersTranscendental numbersThe role of interactive visualizations in the advancement of mathematicsthesis2012-11-292152/ETD-UT-2012-08-6163