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Papers On Mathematics
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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 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
TITANIC AND STATISTICS
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This 5-page paper discusses the doomed ship, the S.S. Titanic in terms of stastical analysis of passengers. Conclusions to be drawn were that those saved on the lifeboats tended to be of the wealthy, more privileged class. Bibliography lists 1 source. (available in French translation).
Filename: MTtitsta.rtf
Transportation Problem In Linear Programming;
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This 10 page paper (plus 2 page appendix) considers the transportation problem in linear programming. The problem is explain in general terms, and then examine more closely by working though a practical example. This include the definition of the problem and the parameters verbally and mathematically and then the minimisation of the problem in terms of an equation. The appendices is an example of coding the problem and also give the solution. The paper also includes an graphical network presentation of the same problem to enhance the students understanding. The bibliography cite 3 sources.
Filename: TElptran.wps
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
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
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
“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
