Pythagoras / The Philosopher, The Mathematician
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A 15 page account of what is known of the life and scientific and mathematical contributions of Pythagoras. Particular attention is paid to the religious beliefs of his Pythagorean Order and how their beliefs has made it difficult to get a true understanding of Pythagoras' contributions to science and mathematics. A summary of the contributions which have been attributed to Pythagoras is included. Emphasis is placed on the Pythagorean Theorem, the principles which determine the concordant scale, and musical spheres. Information is also provided regarding current thought regarding Pythagoras' beliefs concerning vegetarianism, the human and animal soul and reincarnation. A brief overview of his ethnic origins, his birthplace, his studies, and travels is also included. Bibliography lists six sources.
Filename: Pyth.wps

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

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

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