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"A History of Mathematics in America before 1900" (David Smith and Jekuthiel Ginsburg), 1992.
Summarizes and reviews the work on the uses, development and leading figures of math in the U.S.
1,350 words (approx. 5.4 pages), 1 source, $ 47.95
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"A History of Mathematics in America before 1900
A History of Mathematics in America before 1900 was written by David Eugene Smith and Jekuthiel Ginsburg and published by The Mathematical Association of America in cooperation with The Open Court Publishing Company in 1934. It is one of a series of monographs entitled, The Carus Mathematical Monographs.
The book is organized historically, covering the uses of mathematics, the development of mathematics instruction and research, and discussion of the important names in mathematics in America from the earliest settlement to the year 1900. The book is divided into four chapters, each chapter dealing with a particular time period in chronological order. The authors closely relate the development of mathematics in this country to the development of education and instruction of math, with ..."
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Babylonian Theory of Polynomials, 1992.
A look at the ancient civilization's contributions to the evolution of mathematical theory.
2,250 words (approx. 9.0 pages), 5 sources, $ 79.95
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"The purpose of this research is to examine the Babylonian theory of polynomials. The plan of the research will be to set forth the historical and cultural context in which the Babylonian approach to developing equation theory emerged, and then to discuss the ways in which the theory could have evolved across ancient cultures toward modern interpretations of the authentic character and importance of equations. As appropriate, reference will be made to the assessments of the Babylonian contribution to the body of mathematical thought as it may have impacted upon subsequent mathematical theory.
One may begin a discussion of the authentic nature of Babylonian theory of polynomials--not by saying what it is but by suggesting what it is not, which is an equivalent of purely theoretical explorations of the mathematical universe that were..."
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Content Analysis, 1991.
The use of statistical methods to analyze documents. Includes development, applications, techniques and positive and negative references.
1,800 words (approx. 7.2 pages), 4 sources, $ 63.95
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"A constant goal of sociologists and other social-science researchers is to determine objective, or relatively objective, ways of measuring something that is inherently very far from "objective," namely human (individual or social) attitudes and actions. One such technique is content analysis, or the use of statistical methods to analyze the contents of documents--usually written documents of one sort or another, though transcripts of speech, television shows, and other nonpaper "documents" can also be subjected to content analysis. In the simplest instance, content analysis may be performed by counting and tabulating the occurrence of particular words in a document. If, for example, a given document has frequent references to "God," "Christ," and "salvation," as compared to other documents, we might reasonably infer that the document is somehow concerned with Christian..."
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"The History of Calculus" by Carl B. Boyer, 1991.
This paper reviews "The History of Calculus" by Carl B. Boyer, the evolution and philosophy of this mathematical discipline.
2,925 words (approx. 11.7 pages), 1 source, $ 103.95
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"The purpose of this research is to examine "The History of Calculus" by Carl B. Boyer. The plan of the research will be to set forth the general ideas in the book, and then to explore details contained in the book that summarize the concepts of calculus that Boyer wants to emphasize.
Boyer's The History of the Calculus is put forward as one of the few histories of how the discipline of calculus evolved, apart from an explanation of how to use it mathematically. It is by positioning the ideas of mathematics and philosophy that influenced calculus that Boyer gradually moves toward an explanation of how calculus can actually be used and applied. The background of Boyer's approach appears to be the idea that a richer understanding of how calculus came to "be" in the world of ideas can lead to an understanding of how it can be employed in ... "
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Statistical Analysis Applied to Unemployment Problems, 1990.
This paper explains the application of statistical procedures to the solution of a realistic problem; in this paper, the U.S. unemployment problem.
1,800 words (approx. 7.2 pages), 6 sources, $ 63.95
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From the Paper
'The purpose of this research is to explain the application of statistical procedures to the solution of a realistic problem. In this instance, the problem is related to the domestic economy of the United States.
THE PROBLEM
The level of unemployment is a matter of significant concern to both the general public and political leaders. In order to develop effective policies to address the unemployment issue, it is necessary to understand how the unemployment rate is related to other factors. It is this problem which is addressed in this research.
HYPOTHESES
A total of six hypotheses were formulated for, and tested in ... "
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Mathematics In Bilingual and Bicultural Areas, 1980.
This paper analyzes the study of mathematics in bilingual and bicultural environments including cultural and teaching impact., particularly in the Mexican-American communities.: games, cooking, telling time, bookkeeping number stories.
1,575 words (approx. 6.3 pages), 10 sources, $ 55.95
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"The purpose of this research is to examine and analyze the uses of mathematics in bilingual/bicultural environments, with specific applications as well as in specific communities.
Because of the Supreme Court decision (1974 Lau vs. Nichols) bilingual education is now mandatory (McNichols 111-15). Mathematics is an ever present, recurring part of daily life. This provides an excellent opportunity for the inclusion of bilingual/bicultural aspects in mathematics.
Because of this decision it now becomes essential to train bilingual teachers in all academic subjects and at all academic levels, including preschool. The states of California, New Mexico, Florida, Pennsylvania, Alaska, Arizona, Illinois, New York, Maine, Connecticut, and Colorado are "working toward ... "
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Behavior Analysis, 2002.
An analysis of an article by Davison, McCarthy, and Jensen, ?Component Probability and Component Reinforcer Rate as Biasers of Free ? Operant Detection", focusing on the issue of behavior analysis.
1,221 words (approx. 4.9 pages), 9 sources, MLA, $ 41.95
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Abstract
This paper is a written summary, including a discussion of the article ?Component Probability and Component Reinforcer Rate as Biasers of Free ? Operant Detection? by Michael Davison, Diane McCarthy, and Chris Jensen. The paper outlines the article, which is a series of experiments relating to behavior analysis in general, specifically the matching law and signal detection theory. The paper presents and summarizes the series of experiments designed by McCarthy et al., including all observations, results, and conclusions.
From the Paper
"This series of experiments was designed to test the applicability of the signal ? detection model of Davison and Tustin (1978) in free operant detection under two biasing manipulations. The first was variation of component frequency (The probability of presenting S1, a bright light, over S2, a dim light), which was varied in experiments 1a and 2a. The second manipulation was variation of the within-component reinforcer rates (reinforcement schedules one each key) in experiments 1b and 2b. Each variable was varied while holding the others constant."
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On the Right Track, 2002.
An analysis of the arguments against tracking of low-ability math students.
2,810 words (approx. 11.2 pages), 5 sources, MLA, $ 83.95
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Abstract
This paper examines a crucial problem in American education, poor student performance, specifically in math and science. The paper focuses on the method of tracking or grouping, and provides arguments against this method. The paper proposes a study in order to find a successful solution to the problem. The proposed study is outlined, including the desired outcome.
From the Paper
"Poor student performance is one of the most pressing problems in American education today. In particular, math and science scores lag behind those of other developed nations. Without a proper understanding of math, and mathematical concepts, today?s students will find themselves unable to compete in an increasingly technological world. They will not be able to find jobs, nor will American industry be able to compete successfully against its foreign counterparts. Though an essential part of the educational process, the how-to of improving students? mathematical skills remains problematic. Numerous approaches have been tried, but not all have been successful. It is for this reason, that the following study is being proposed."
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Higher Mathematics, 2000.
An examination of the major concerns, a public view of, practical applications, examples, probability theory and number theory.
1,575 words (approx. 6.3 pages), 11 sources, $ 55.95
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"Higher mathematics is a subject that has always seemed completely inaccessible to all but the select few who could breathe in the rarefied atmosphere of the intellectual plane where it lives. Just as mathematics seems to be beyond most people's intellectual grasp, however, it also seemed to make absolutely no difference to the great majority of the population. Number theory, probability theory, mathematical modeling, the mysterious math used in computer technology, and even statistics and mathematical reasoning seemed to have little to do with daily life, work, or anything that was of much interest to the average man, woman, or child. When a mathematician somewhere in Great Britain announced a few years ago that he had solved the problem of Fermat's Last Theorem the news made no difference to the vast majority of people, while a few, vaguely remembering the story of..."
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