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Papers On Mathematics
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Understanding the Basics of Statistics
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This 3 page report discusses the practical
application of certain statistical concepts: Mean, mode, and median; frequency
distribution, and; sampling. Bibliography lists 3 sources.
Filename: BWstat01.rtf
Understanding the Transition for GCSE to A’ Level Maths; Geometry and Calculus
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This 9 page paper looks at the difference way in which the A’ level mathematics in the UK education system may be seen as a development and expansion of the GCSE level subject. The writer looks at the syllabus and consider how the transition between the two levels is made, and how it may best be understood by the student. The bibliography cites 8 Sources.
Filename: TEalevel.rtf
Using Charts and Graphs
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This 5 page paper looks at how and why different types and charts should and can be used. The paper gives a broad overview of the use of graphical tools in communication and the discusses the use of different types of charts including pie charts, vertical and horizontal bar charts, line charts, Gantt charts and scatter graphs. The bibliography cites 2 sources.
Filename: TEcharts.rtf
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
Variables and Clusters in Research
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This 4 page paper uses a article examining the influences on obesity to look at the way variables are used, identifying the dependant and independent variables and looking at the way the variables are clustered together. The paper also presents a conceptual map of the different variables. The bibliography cites 4 sources.
Filename: TEstatobese.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
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