Mathematical content will help teachers build mathematical connections and concepts across grade levels using concrete experiences and bridging to abstract understanding. A brief review of standard topics in Euclidean geometry followed by a study of hyperbolic and elliptic geometries, projective geometry, and geometric topology. The standard topics in the theory of numbers, including divisibility, congruencies, quadratic residues, and distribution of primes, continued fractions, and number theoretic functions. Study of real number, topology of the line and plane, sequences and series, and differentiation and integration. Copyright Arkansas Tech University, Russellville, Arkansas.
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