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Papers On Mathematics
Page 7 of 11
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Pythagoras / The Philosopher, The Mathematician
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A 15 page account of what is known of the life and scientific and mathematical contributions of Pythagoras. Particular attention is paid to the religious beliefs of his Pythagorean Order and how their beliefs has made it difficult to get a true understanding of Pythagoras' contributions to science and mathematics. A summary of the contributions which have been attributed to Pythagoras is included. Emphasis is placed on the Pythagorean Theorem, the principles which determine the concordant scale, and musical spheres. Information is also provided regarding current thought regarding Pythagoras' beliefs concerning vegetarianism, the human and animal soul and reincarnation. A brief overview of his ethnic origins, his birthplace, his studies, and travels is also included. Bibliography lists six sources.
Filename: Pyth.wps
Pythagoras Theorem and Pythagoras Triples
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This 10 page paper explain these theories, giving examples of the formulas as well as the way in which they can be used and proven. The paper includes different illustrations to prove the theories. The bibliography cites 6 sources.
Filename: TEpytago.wps
Quantitative Measures at Carstab
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A 7 page paper discussing how the use of statistics and probability can be applied in making business decisions that affect the bottom line. The example used is a chemical manufacturer (Carstab) that produces a product needed by many customers but needed by one in higher grade. Most of the lots of product that Carstab makes is acceptable to this single customer, but nearly half are not. Carstab develops a pretest resulting in indicating that 90% of what the company sends the customer will be acceptable. The paper discusses this scenario, along with a "what if" discussion of a different set of probability values. Bibliography lists 8 sources.
Filename: KSprobCarstab.rtf
Reliability and Validity in Statistical Studies
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A 5 page paper discussing reliability and validity. The paper begins with defining the terms; how they relate to each other; and why they are important in statistics. It then identifies statistical tests, and concludes with an example. Bibliography lists 4 sources.
Filename: KSresReliabVal.rtf
Reliability In The Context Of Measurement Error
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5 pages in length. The writer discusses reliability in the context of measurement error, as well as addresses the notion of statistical significance as it applies to the evaluation of correlation coefficients used as measures of
reliability. Bibliography lists 5 sources.
Filename: TLCrelia.wps
Research Methods And Statistics
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This 32 page paper looks at the subject of research in detail. The paper is written in eight sections as follows; the relationship between theory and research, the different ways in which knowledge is gained, scientific method, systematic inquiry, the use of statistics, including descriptive and inferential statistics and how they may be used, experimental, historical and statistical methods of research, null hypothesis and the way in which quantitative research may be undertaken from the selection of the sample and design of the questionnaires, to the final correlation of the data gathered in. The bibliography cites 10 sources.
Filename: TEstatre.wps
Research Outlines
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A collection of five one-page outlines addressing mathematics education
history and how the learning disabled have been accommodated in the past century, but also the
changes in technology and society that have made the teaching and learning of mathematics
increasingly important in today's world. The final outline addresses these issues in an international
context; the one before it addresses the same information focusing on the US. Bibliography lists
11 sources.
Filename: KSposOutlin.wps
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
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
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
