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Sums Of Powers And The Bernoulli Numbers, Laura Elizabeth S. Coen
Sums Of Powers And The Bernoulli Numbers, Laura Elizabeth S. Coen
Masters Theses
This expository thesis examines the relationship between finite sums of powers and a sequence of numbers known as the Bernoulli numbers. It presents significant historical events tracing the discovery of formulas for finite sums of powers of integers, the discovery of a single formula by Jacob Bernoulli which gives the Bernoulli numbers, and important discoveries related to the Bernoulli numbers. A method of generating the sequence by means of a number theoretic recursive formula is given. Also given is an application of matrix theory to find a relation, first given by Johannes Faulhaber, between finite sums of odd powers and …
A Study Of The Relationship Between Use Of Technology In Math And Higher Test Scores, Mary Ann Grooters
A Study Of The Relationship Between Use Of Technology In Math And Higher Test Scores, Mary Ann Grooters
Masters Theses
This thesis explored the relationship of a technology enhanced curriculum to higher test scores and higher student motivation. This thesis involved two seventh grade math classes in Kentwood, Michigan. A control class received instruction including lectures, written assignments, and projects. The test group received similar assignments and projects and in addition were given technology supported exercises. A survey given to the test group examined motivation levels, and end of chapter tests compared achievement scores of both groups. The findings indicate that a technology enhanced curriculum does not lead to higher test scores but does impact student motivation to learn math.