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Leonhard Euler, 1995.
Examines the life, career and major ideas of this 18th Century Swiss mathematician.
1,350 words (approx. 5.4 pages), 6 sources, $ 47.95
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From the Paper
"Leonhard Euler (1707-1783) published his first mathematical work in 1726, one year before Isaac Newton's death. Euler's enormous gifts and broad interests were ideally suited to this slot in history. In pure mathematics and mathematical physics, his work elaborated that of his predecessors, such as Newton and Leibniz, and exerted an enormous influence on those who followed him. Euler also systematized, standardized, and generally cleared the way for mathematical applications in numerous fields. In the course of his long and productive career, Euler "worthily united the ages of Newton and Gauss" (Morgan 133).
Euler was the most prolific mathematician in history. During his career, he published around 560 books and articles, and still left a backlog of over 300 works at his death. The St. Petersburg Academy did not finish publishing his "literary ..."
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temporarily unavailable
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Correlation and Regression Analysis, 1995.
This paper examines an application of the statistical procedures of correlation and regression analysis.
1,350 words (approx. 5.4 pages), 5 sources, $ 47.95
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"This research examines an application of the statistical procedures of correlation and regression analysis. The initial part of the examination describes correlation and regression procedures, and illustrates the use of the procedures in an application. Following the description and illustration, the accuracy and appropriateness of the application is discussed.
Description of the Procedure, and An Illustration of the Use of the Procedure in An Application
Correlation and regression procedures are described in this section. This description is followed by an illustration of the use of the procedures in an application."
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Sampling, 1995.
This paper examines an application of the statistical procedure of population sampling: Describes theory and techniques and assesses validity of application in population sampling.
1,350 words (approx. 5.4 pages), 5 sources, $ 47.95
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From the Paper
"This research examines an application of the statistical procedure of population sampling. The initial part of the examination describes sampling procedures, and illustrates the use of the procedures in an application. Following the description and illustration, the accuracy and appropriateness of the application is discussed.
Description of the Procedure, and An Illustration of the Use of the Procedure in An Application
Population sampling procedures are described in this section. This description is followed by an illustration of the use of the procedures in an application.
Description of Procedures ... "
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Normal Curve, 1994.
This paper defines and examines the normal distribution curve and its role in statistical analysis. Tables and graph.
1,350 words (approx. 5.4 pages), 6 sources, $ 47.95
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"Statisticians work with large masses of data. Before any conclusions can be drawn from such data, it must be condensed and arranged in a usable form. One of the most common ways to summarize and describe a mass of data is to arrange a frequency distribution table. These tables can then be graphed with the frequency scale on the y-axis and the interval being graphed on the x-axis. Above each interval a horizontal line is drawn which corresponds to the frequency of the interval, resulting in a stair-step histogram pattern. Connecting the midpoints of these class intervals produces a frequency polygon and an interval curve. Distribution curves which can be "folded" vertically so that the two halves of the curve are essentially the same are said to be bilaterally symmetrical. Perfectly symmetrical curves which have a bell shape are said to be normal curves, or Gaussian curve ... "
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Mathematics and Business, 1994.
This paper discusses that mathematics is at the core of understanding business and social sciences: Financial statements, supply and demand, forecasts, linear regression, equilibrium and elasticity.
1,350 words (approx. 5.4 pages), 5 sources, $ 47.95
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"Mathematics is at the core of understanding business and social sciences. Both disciplines make use of arithmetic, quantitative methods, statistics, linear regression and calculus as they seek to describe, predict and analyze the vast array of numerical data available in the fields. This research examines the application of math in these areas with a particular emphasis on math with regard to the supply and demand function.
Anyone selling a product or providing a service uses basic arithmetic to determine how much money they take in and how much money they pay out. When the expenses are less than the revenues, they make a profit. This simple accounting principle becomes more complex as the items associated with the various components increases in complexity. Revenues can be based on cash received, or they may be placed on accounts receivable."
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Evolution of Mathematics, 1993.
Ancient Greece to 1990s. Major figures & discoveries of mathematics. Looks at principles, calculus, physics, specialization and algebra. Compares the attitude differences between U.S and Japan.
3,600 words (approx. 14.4 pages), 16 sources, $ 127.95
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From the Paper
" The Evolution of Mathematics:
The American and Japanese Perspectives
Elementary forms of mathematics have probably been with man throughout his evolution. As human societies advanced, so too did mathematics. From the 1500s to the present, a long lineage of mathematicians have revolutionized the field. These men were often of European origin. Only in the last century has the United States and Japan emerged as dominant mathematical forces. At present, either of these nations could lead the field into the future.
The first systems of numeration were invented by the Greeks and the Romans (Struik, 1987, p. 80.81). Later, the Western merchant, Leonardo of Pisa, introduced the Hindu.Arabic system of numeration into Western Europe. Europeans came to accept these.."
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Learning Theories and Math, 1993.
A description of behaviorist, cognitive and humanistic approaches and the application to teaching math to children.
3,375 words (approx. 13.5 pages), 16 sources, $ 119.95
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From the Paper
"Application of Learning Theories in Early Childhood Mathematics
The major theories of learning which underlie curriculum planning in the schools are generally classified into three groups: behaviorism, cognitive development, and phenomenology or humanistic psychology. Each of these schools of thought arose from distinct philosophies and individuals who developed the theories within the philosophies. It is the purpose of this paper to discuss the major learning theories, the psychologists representing each group, the learning implications for each learning theory, and a representative mathematics curriculum for early childhood applying the various learning theories.
Behaviorism is the oldest learning theory, and it continues to be popular in the United States. Psychologists Thorndike..."
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"How To Lie With Statistics", 1993.
A summary of this work on biases, averaging, graphs, figures and their abuse.
1,575 words (approx. 6.3 pages), 2 sources, $ 55.95
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From the Paper
"The purpose of this research is to examine the nonfiction book How to Lie with Statistics by Darrell Huff. The plan of the research will be to set forth the main ideas of the book as a chapter-by-chapter summary of the important ideas, including examples of misleading uses of statistics of the type presented.
The Sample with the Built-In Bias. Statistical measurement begins with assembling a credible sample of respondents on which to base conclusions that can be generalized from the sample to the population. There are two factors to consider: whether the respondents are truly representative of what is being measured, and whether the respondents tell the truth when they are asked questions. Both features of a sample may contribute to bias in the reporting of information. Huff cites a survey in which voters in 1936 were asked over the phone predict election ..."
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Teaching Mathematics in Saudi Arabia, 1993.
Research proposal for teaching math skills in Saudi Arabia to children at the same grade level, but at variable degrees of proficiency, using individualized instruction.
2,700 words (approx. 10.8 pages), 11 sources, $ 95.95
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From the Paper
"Teaching Mathematics to Elementary Children in Saudi Arabia With the Use of Individualized Instruction
Background of the Problem
While Christian Europe was slumbering through the darkness of the Middle Ages, the Middle East experienced its own renaissance of the arts and sciences, including mathematics. It is, after all, the Arabs who invented the concept of zero, along with Arabic numerals, and developed a sophisticated system of mathematics before the scientific revolution entered the European continent. This scientific outpouring did not last, however, and much of the Middle Eastern civilization that developed during the early Islamic period declined into quiescence (Nyrop, 1977)."
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