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Papers On Mathematics
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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

Quadratic Equations; Competing the Square and Using a Quadratic Formula
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This 3 page paper describes and shows the student how to solve quadratic equations using the completing the square method and using an equation. The paper includes a step by step solution to a problem.
Filename: TEquadeq.rtf

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

Questions and Prompts Mathematical Thinking
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This 3 page paper looks at the value and use of prompts and questions in the teaching of mathematics in post compulsory education. The paper considers why questions and prompts can be important in developing mathematical thinking and considers the ideas of theorists including Zygfryd Dyrszlag. The bibliography cites 4 sources.
Filename: TEqprompt.rtf

Regression Analysis
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This 3 page paper uses data already supplied to undertake a regression analysis looking at the level of fatalities that may be excepted in future years as a result of driving with different blood alcohol levels. The bibliography cites 2 sources.
Filename: TEalcoholreg.rtf

Regression Analysis Using Health Statistics
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This 4 page paper uses health data on live expectancy for males over a period of time to demonstrate the use of regression analysis. The data is presented, the method of analysis and results are discussed and presented in graph form. The paper ends by looking at the potential of model breakdown. The bibliography cites 2 sources.
Filename: TEreghealth.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.doc

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

Results of a Survey on Child Welfare
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This 6 page paper uses results generated by SPSS following a survey undertaken by the student and gives an analysis of the results, giving figures such as mean, median, mode, range and standard deviation, and looks at frequencies and then interprets the figures. The survey concerned child welfare, specifically poverty and abuse. The bibliography cites 6 sources.
Filename: TEcwelfareq.rtf

Review of "An Alternative Approach: The Unfolding Model of Voluntary Employee Turnover"
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A 6 page paper reviewing and discussing this study of why nurses chose to leave their jobs in the mid-1990s. The paper discusses the general focus of the study but concentrates on assessing the authors' use of statistical analyses for appropriate tests, reliability and validity. Bibliography lists 4 sources.
Filename: KSstatArtRevEmp.rtf

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

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This 3-page paper offers some calculations to determine mean figures for starting salaries between accountants and financial planners. Also discussed in this paper is the Mann-Whitney-Wilcoxon Test.
Filename: MTsalsta.rtf

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