Armendáriz, Efraim P.2012-02-022017-05-112012-02-022017-05-112011-08August 201http://hdl.handle.net/2152/ETD-UT-2011-08-3806textThis report examines the theory of continued fractions and how their use enhances the secondary mathematics curriculum. The use of continued fractions to calculate best approximants of real numbers is justified geometrically, and famous irrational numbers are described as continued fractions. Periodic continued fractions and other applications of continued fractions are also discussed.application/pdfengContinued fractionsIrrationalCurriculumNumber theorythesis2012-02-022152/ETD-UT-2011-08-3806