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Papers On Mathematics
Page 15 of 23
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Science and rationality: the Greeks
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A paper which looks at the common perception in Western civilisation that the Greeks were responsible for the origins of science and rationality, with reference to pre-Hellenistic theories and the ways in which science can be defined. Bibliography lists 10 sources
Filename: JLgreksci.rtf
Setting Alpha Level
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A 6 page paper discussing the origins and use of alpha in statistical analysis. Alpha is defined as the probability of incurring a Type I error, which is that of rejecting H0 when it is true. It is also found used virtually interchangeably with p-level, which is statistical significance and the exact probability of a Type I error. Bibliography lists 7 sources.
Filename: KSstatsAlpha.rtf
Should Acme Doors Eliminate Inspection?
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A 10 page paper presenting a business statistics exercise. Acme Doors manufactures garage doors that have been found to vary widely in final weight in the plant, a matter that can affect long-term performance and customers’ views of the level of quality of the product. A tenet of TQM is that quality increases as manufacturing efforts are increasingly brought within statistical control. A study sampling final product indicates that Acme’s manufacturing process will need to be refined before it eliminates product inspection in trying to implement TQM in its production activities. Includes 2 tables and 4 charts; PowerPoint presentation available. Bibliography lists 23 sources.
Filename: KSstatBizInsp.rtf
Sir Isaac Newton
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This 11 page paper begins with a brief biography of Sir Isaac Newton. His major ideas, discoveries, inventions and works are identified. The Newton - Leibniz calculus controversy is discussed. Those who influenced Newton's works are identified. His legacy and impact in the fields of mathematics and science as well as the world's beliefs about the nature of the universe are discussed. The writer also comments on the role of the apple in Newton's thoughts about gravity. Bibliography lists 8 sources.
Filename: PGnewton.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
SPSS Analysis
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This 5 page paper uses SPSS to show the student how to perform specific calculations, the paper shows the result, but does mot give instructions.
Filename: TESPSS01.rtf
SPSS Analysis
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This 8 page paper uses a data set provided by the student to formulate an hypothesis and show how to perform an analysis using SPSS, with a summary of the population sample and descriptive tables followed by tests such as Pearson and Spearman’s to test for correlation. The bibliography cites 1 source.
Filename: TESPSScase.rtf
STATISTCAL TECHNIQUES AND DATA PRESENTATION
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The 7-page paper focuses on statistical evaluation methods, qualitative and quantitative techniques for collecting data and methods of how to present data once it is collected. Particular focus on is placed on the Kirkpatrick and Phillips models of data collection.
Filename: MTdatpre.rtf
Statistic Analysis of a Department
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This 9 page paper shows the student how to use statistical measures to examine the employees in a department. The data used is examined using averages and distribution by gender and presented with graphs and pie charts. The paper also shows how a Chi Squared test can be used to examine the data. The bibliography cites 3 sources.
Filename: TEstathrm.rtf
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