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Papers On Mathematics
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Using Scientific Method
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This page paper is an example of how to use scientific method to prove or disprove a theory or hypothesis. The paper uses the example of proving that grass which is watered will grow more rapidly that grass which is not watered. The paper demonstrated the use of an hypothesis test using a Chi Squared test. The calculation is also shown. The bibliography cites 2 sources.
Filename: TEgrass.rtf
Venn Diagrams and their Use of Boole's Algebra
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This 5 page paper examines the simple Venn diagrams represented by overlapping circles and considers how these may be seen as a visual representation of some of the logical ideas of Boole. The bibliography cites 2 sources.
Filename: TEvenbol.wps
Why Do People Hate Math?
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A 3 page paper which examines why people have a tendency to hate math. No sources cited.
Filename: RAmathno.rtf
Willard V. Quine’s “Indeterminacy of Translation” Theory
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This is a 15 page paper discussing Quine’s theory of indeterminacy of translation. Willard V. Quine was a mathematician and philosopher who lived from 1908-2000. During the last half of the 20th century, Quine developed several theories, one of which was the theory of indeterminacy of translation, which challenged some of the former assumptions used in the fields of psychology, linguists and anthropology. Quine asserted that accurate translations between languages could not be made for a number of reasons. Firstly, linguists could not get basic terms of references, or starting elements, because from a holistic perspective, sentences are the basic form of meaning and all sentences are semantically linked by the native speaker. Secondly, “meaning” could not be considered as an absolute element. In addition to some of these basic changes in the construct of translations, Quine also discussed the idea that not only were correct translations into English not possible but also two translation manuals given the same observational stimuli could also not be interchangeable because of the assumptions and the linguist’s imposition of his own beliefs and patterns onto the native language. Obviously, Quine’s theories were criticized as linguists made the case that several translations were considered successful because smooth negotiation and conversation could take place between native speakers and foreign speakers. However Quine’s dissection of the linguist’s process into one of a mathematical and scientific process is considered one of the most significant within the last fifty years in linguistic philosophy.
Bibliography lists 6 sources.
Filename: TJQuine1.rtf
“A History of Mathematics: From Mesopotamia to Modernity”
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A 3 page overview of the book by Richard Hodgkin. This paper emphasizes Hodgkin’s message that mathematics have been a critical element in much of world development. No additional sources are listed.
Filename: PPmathHist.rtf
“Statistical Question Using Spearman’s Coefficient of Rank Correlation”
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A four page paper which looks at methods of statistical analysis in terms of parametric and non-parametric tests and demonstrates analysis of a statistical question using Spearman’s Coefficient of Rank Correlation.
Bibliography lists 3 sources.
Filename: JLspearmans.wps
“Summary and Commentary on Article on the Constructivist Model of Maths Teaching”
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A six page paper which summarises Constructivistic Math Instruction for Diverse Learners, by Mercer, Jordan and Miller (1996) and gives a commentary on the educational strategies described in the article.
Bibliography lists 1 source.
Filename: JLmathsconstruct.wps
“The Story of Mathematics”
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A 3 page review of the book by Richard Mankiewicz. This paper outlines the author’s journey through this fascinating discipline from ancient times to the present. No additional sources are listed.
Filename: PPmathStory.rtf
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