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Sum Of Cubes Of The First N Integers, Obiamaka L. Agu

Electronic Theses, Projects, and Dissertations

In Calculus we learned that 􏰅Sum^{n}_{k=1} k = [n(n+1)]/2 , that Sum^{􏰅n}_{k=1} k^2 = [n(n+1)(2n+1)]/6 , and that Sum^{n}_{k=1} k^{3} = (n(n+1)/2)^{2}. These formulas are useful when solving for the area below quadratic or cubic function over an interval [a, b]. This tedious process, solving for areas under a quadratic or a cubic, served as motivation for the introduction of Riemman integrals. For the overzealous math student, these steps were replaced by a simpler method of evaluating antiderivatives at the endpoints a and b. From my recollection, a former instructor informed us to do the value of memorizing these formulas. …

The Effects Of Project Lead The Way Launch Curriculum On Elementary Girls’ Perception And Career Interests In Science, Technology, Engineering, And Mathematics, Mina Blazy

Electronic Theses, Projects, and Dissertations

The United States has examined the quality of science, technology, engineering and mathematics (STEM) education since before the turn of the century. STEM educators are still having the conversation around why more women are not joining STEM pathways. Girls and boys as early as birth are curious about the world; through their own lens they learn about gravity from dropping spaghetti on the floor or seeing a small insect on the wall. As children get older they are influenced by the perceptions of their parents and peers.

This study looked at the perception and career interests of girls in STEM …