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Papers On Mathematics
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Roman and Mayan Maths
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A five page paper which looks at some of the differences between the Roman and Mayan mathematical systems, and the relative advantages and disadvantages of both. Bibliography lists 3 sources.
Filename: JLalgor.rtf

Solomon Lefschetz
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5 pages in length. Solomon Lefschetz, touted as one of the most revolutionary mathematicians of all time, played a major role in the progress of American mathematics at the turn of the century and beyond. He was a Russian-born mathematician who, after earning his United States citizenship in 1912, christened a new era in American mathematics by way of his comprehensive methods and development of algebraic topology. The writer chronicles his life's achievements and demonstrates how beneficial his accomplishments were to the United States. Bibliography lists 4 sources.
Filename: Lefschet.wps

Space Age Mathematics Education
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A 20 page paper discussing the relationship between reforms in math education in the 1960s and 1970s and conditions in the space program. The Soviet Union launched Sputnik in 1957, and then was the first to put a man in space in 1961. Alan Shepard became the first American in space only three weeks later, but he did not orbit the Earth as the Russian astronaut did. Technological innovation and national embarrassment gave impetus to the change in math education in the early 1960s and the shift to New Math, but we allowed the pendulum to swing too far in the US. Further technological innovation and the reality of poor performance on an international level now is giving impetus to additional change, one approaching more of a middle ground. The paper also discusses the international interest in math education reform beginning in 1958. Bibliography lists 17 sources; includes an outline of the paper.
Filename: KSmath1960s.wps

Statistical Analysis of the House Banking Scandal
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This 6 page paper considers the statistical analysis of The House Banking Scandal, also known as Rubbergate. The writer also demonstrates to the student how they may undertake a chi squared hypothesis test. The bibliography cites 2 sources.
Filename: TErubgat.rtf

Statistics Overview
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A 5 page paper discussing the science of statistics and its use in today's environment. The study and use of statistics must be done in such a way that an accurate view results from statistical manipulation. Some statistical errors are benign and result primarily from ignorance or poor research design. Others, however, are intentionally promoted for the purpose of "proving" a desired outcome. Bibliography lists 7 sources.
Filename: KSstatistics.wps

Statistics: T-Ratio and the Homogeneity of Variance
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5 pages in length. Identifies, definies and interprets the methods for evaluating the non-homogeneous data sets. Looks at both t-ratios and homogeneity of variance. Bibliography lists 6 sources.
Filename: JGAtrtio.wps

The Creative Genius of Albert Einstein
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This 7 page paper look's at the character and through processes of Albert Einstein. The way in which many discoveries were only stepping stones to the next greater discovery is discussed along with the effect that his genius had on his life. The bibliography cites 6 sources.
Filename: TEalbein.wps

The Derivative In Average & Instantaneous Velocity
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A 5 page paper explaining both average and instantaneous velocities. The writer demonstrates the relationship between the derivative and these primary functions. Bibliography lists 4 sources.
Filename: Velocity.wps

The Ethics of Risk
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A 5 page essay that examines Peter L. Bernstein's history of the number theory of risk, "Against the Gods," from the standpoint of the ethics of risk. The writer argues that the development of this field has led humanity on a path toward more ethical behavior. No additional sources cited.
Filename: 99riskpb.wps

The Evolution of Algebra
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5 pages in length. In this paper the history of Algebra is presented and the role that it plays in mathematics today. There is also discussion on some of the mathematicians who played a key role in the advancement of Algebra as well as examples of applications in which Algebra is used. Bibliography lists 5 sources.
Filename: JGAalgbr.wps


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