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Papers On Mathematics
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The History of Mathematics
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This 6 page paper examines three books on the history of math. Some quotes are included. Bibliography lists 3 sources.
Filename: SA712mth.rtf
The History of Numbers
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This 14 page report discusses the ways
in which humanity has developed numerical systems corresponds to
the ways that the human species also developed. As human
thinking grew in complexity, so did the application of numbers
and the understanding of numbers. And yet, little thought is
given to why human beings came up with the idea of numbers or how
it is possible to count. . Modern historians and social
scientists have traced the processes associated in the history
and development of numbers from Europe to China, via the
Classical World, Mesopotamia, South America and, even more than
any where else on Earth, India and Arab lands. Bibliography lists
3 sources.
Filename: BWhisnum.wps
The History of Real Analysis
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This 5 page paper delves into the concept of real analysis and looks at key people integral to the emergence of this mathematical field of study. Several mathematicians are named including Archimedes and Cauchy. Bibliography lists 4 sources.
Filename: SA228ra.rtf
The History of the Pythagorean Theorem
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5 pages. An interesting research paper on the background of the Pythagorean Theorem that is used in algebra and geometry. Details the history of the theorem. This is actually a fascinating history and one that is not often discussed in the classroom. The Pythagorean Theorem was founded by a cult that actually worshipped numbers and felt that everything in the Universe was number-related. A very interesting history for a well-known math theory to say the least! Bibliography lists 2 sources.
Filename: JApythag.rtf
The History of the “Zero”: The Influence of Geography and Culture on the Invention of the Number Zero.
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A 5 page review of the history of the manner in which the number zero came into common mathematical usage. Traces its development to Mesopotamia and through the various other regions of the world. Distinguishes between the mathematical concept and the philosophy of nothingness. Bibliography lists 3 sources.
Filename: PPzero.rtf
The Importance of Mathematics in Early Greek Culture
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A 12 page comprehensive study of early Greek mathematicians and their cultural significance. Included in the discussion are Ptolemy, Pythagoras, Aristotle, Plato, and others. Bibliography lists 9 sources. (also related to Astronomy)
Filename: Greekmat.wps
The Life and Works of Euclid of Alexandria
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This 10 page paper gives a brief overview of the Greek mathematician, Euclid. He was the chief architect of the concept and science of geometry. Bibliography lists five sources.
Filename: Euclid.wps
The Nature of Math Assessment: Assessment Inconsistencies, Priority of Math Assessment and the Use of Authentic and International Programs
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This is a 10 page paper discussing the interpretative and inconsistent nature of math assessment and possible authentic assessment programs. Several issues relate to the inconsistent and interpretative nature of math assessment within the educational curricula today. Firstly, on a national basis, studies reveal the range in attitudes in regards to importance math assessment has in the overall educational curriculum. While math assessment is often mentioned, its importance does not seem as highly weighted as other aspects of assessment of school performance. Secondly, within the school systems themselves, teachers in mathematics vary a great deal in their teaching practices which can affect assessment; perception of their students’ abilities based on social factors and past performance; perception of the importance of national and consistent assessment; and desired learning outcomes. There are many educational assessment tools which are available. However, assessment tools vary in regards to their expense, time, and curriculum considerations which can affect whether or not the tool can be usefully applied. One of the goals of the U.S. educational system is be “the first in the world in mathematics and science achievement” and some educational programs are trying to fulfill this goal by not only developing consistent national education and assessment programs but programs which are comparative on an international scale, such as that found within the International Baccalaureate Program (IB).
Bibliography lists 10 sources.
Filename: TJmaths1.rtf
The Problems of Multicollinearity, Heteroskedasticity, Outlying and Influential Cases and Non-normally Distributed Errors When using Ordinary Least Squares (OLS) Regression
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Multicollinearity, heteroskedasticity, outlying and influential cases, and non-normally distributed errors all present problems for ordinary least squares (OLS) regression. This 8 pager paper explains why each is a problem for OLS, how it can be detected and looks at steps can be taken to deal with each of them. The bibliography cites 5 sources.
Filename: TEOSLerror.rtf
The Science of Escher / Symmetry and Metaphor
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A 10 page paper that provides an overview of the elements of science in the works of Escher, with a focus on symmetry and metaphor based in his mathematical approach. Bibliography lists 8 sources.
Filename: Escher.doc
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