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Papers On Mathematics
Page 6 of 8
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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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