Abstract
This paper examines why it is necessary to learn algebra. It shows its everyday uses and importance. It uses some basic examples such as calculating the miles per gallon of a car, and solving a calendar riddle.

From the paper:

"Algebra is simply the branch of mathematics in which the operations and procedures of addition and multiplication are applied to variables rather than specific numbers. It is also probably the subject about which schoolchildren are most likely to ask the question: What good will this ever do me when I get out of school. This paper puts forth three different answers to that eternal question of what good will algebra do me?"

Tags:math, school, education, learnning, variables, mathamatics

Abstract
Diophantus is referred to more often than not as the "Father of Algebra", although algebra predated Diophantus. His contributions to the study of algebra, however, have led to this attribution. This paper reviews his life, his mathematics, his place in the history of mathematics and the relevance of his work in the 21st century. The review is presented in discussions of his life, his work, his place in mathematics history and the contemporary relevance of his contributions.

From the Paper
"Diophantus lived in the third century A.D. The best estimates of his birth and death years are 200 A.D. and 284 A.D. Other conjectures of these data range from 150 B.C. to 350 A.D. Exactly when he lived, however, is not nearly as relevant to contemporary society as is what he accomplished while he lived. What is generally agreed upon about Diophantus is that he was a normal man who married, had children, and lived a normal but scholarly life. Not all of his work has survived, at least not in a recorded form that may be attributed directly to him. That work which has survived and which can be directly attributed to him, however, has established him as mathematics theoretician of worthy note (Heath (Vol. I) 15-16)."

Tags:mathematics, numbers, equation, Arithmetica, formula

Abstract
This paper explains that the Extensible Markup Language or XML was created to help allow users to share and pass documents, which were richly structured, over the Web in an easy, cost effective manner. The author points out that a markup language is a methodology of identifying the inherent structure of a document, and therefore, XML is a critical aspect of the World Wide Web because it helps explain the way to add markup to all documents. The paper relates that the Internet is based on a foundation of distributed hypertext, which could be regarded as a large distributed database where there are million to billions of queries processed daily.

Table of Contents
Introduction
Background
History
Governing Bodies
XML PAT Algebra Operators
Conclusion

From the Paper
"One such body is the American National Standards Institute or ANSI which is a non-profit private organization that surprisingly institutes standards the industry accepts voluntarily. Other influential standards organizations include the Institute of Electrical and Electronic Engineers or IEEE and the Organization for Standardization or ISO. The IEEE was the organization that defined LAN standards in the Project 802 or the 802 series. These projects could be the blueprints that could be used to make XML more effective by using PAT Algebra Operators for query needs."

Tags:documents, methodology, structure, hypertext, institutes

Abstract
This paper uses a problem from everyday life and sets up an algebraic equation to solve it. It then solves the problem. In this case the problem is a plane flying from San Francisco to Hawaii which experiences an emergency and it is necessary to determine at what point on the flight it is faster to continue to Hawaii than return to San Francisco, given the air speed, the tail wind factor and the distance between San Francisco and Hawaii.

From the Paper
" A plane is flying miles from San Francisco to Hawaii. It is flying at a speed of mph and there is a tailwind blowing at mph. Problem How many hours after take off would it be faster to keep on flying to Hawaii than to turn around and fly back to San ..."

Tags:algenbra, equations

Abstract
This paper explains that any tool, such as a graphing calculator, which can help students gain an improved mastery of the fundamental skills required to complete algebraic problems, must be viewed as educators as a "Good Thing"; but a consistent theme is the need to keep the material relevant in order to maintain student interest. The author points out that, although students should have the experience of entering the program commands themselves, an alternative approach is for the teacher to write the relevant on one calculator and then distribute it to students' calculators by using their linking capabilities. The paper relates that teachers can adapt the material for use with Texas Instruments (TI), Casio, Hewlett-Packard and Sharp graphing calculators.

From the Paper
"The use of graphing calculators in a comprehensive algebra curriculum has been advocated by a number of educators. For example, some currently teach their students how to solve and graph linear equations manually, give them a test on it that is worth 50 points where no calculators are allowed during the test, classwork, or homework. Afterwards, they teach students how to solve the same or similar problems using a calculator. Then they give them another test of the same topic as during which problems are to be solved only by using calculators. During chapter tests and exams, students have the freedom to choose whether to use a calculator or not. "

Tags:mastery, relevant, overhead, relevant, adapt

Abstract
The paper explains that a linear transformation (also called a linear map or a linear operator) is defined as a function between two vector spaces, one that preserves the operations of vector addition and scalar multiplication. The paper discusses how linear transformations are often used to simplify problems and relates that the term "linear" refers to the form of the equations involved.

From the Paper
"A linear transformation (also called a linear map or a linear operator) is defined as a function between two vector spaces, one that preserves the operations of vector addition and scalar multiplication. Linear transformations are often used to simplify problems, such as finding the natural axes for conic sections, using Ax^2 + 2Hxy + Cy^2 = K. The term "linear" refers to the form of the equations involved--in two dimensions, + = . Geometrically, this represents a line, but if the variables are replaced by vectors, functions, or derivatives, the equation then becomes a linear transformation. When using a system of equations of this sort, one is using a system of linear transformations."

Tags:linear, algebra, geometry

Abstract
The paper relates that to work with math and related subjects the person or the student must like to work with numbers and - it helps - to like to work with puzzles. The paper explains that the reason is that mathematical calculations require the mind to be challenged by the problem to continue analysis until the answer is correct and actually makes sense - like working a puzzle to completion. The paper notes that when the topic turns to advanced mathematics such as algebra, most students look at those math calculations from another point of view; they look difficult.

From the Paper
"To work with math and related subjects the person or the student must like to work with numbers and - it helps - to like to work with puzzles. The reason is that mathematical calculations require the mind to be challenged by the problem to continue analysis until the answer is correct and actually makes sense - like working a puzzle to completion. The term math has many names. One is arithmetic, like in "reading, writing...""

Tags:intermediate, algebra, diesel

Abstract
First, the multiplication of binomials and trinomials is explained step by step in detail. Next, factoring binomials and trinomials is discussed because this is the multiplication of polynomials in reverse. Finally, trinomials and polynomials with 4 or more terms are examined in detail.

From the Paper
"This document examines and explains polynomials in algebraic expressions. First, the multiplication of binomials and trinomials is explained step by step in detail. Next, factoring binomials and trinomials is discussed because this is the multiplication of polynomials in reverse. Finally, trinomials and polynomials with 4 or more terms are examined in detail. Algebraic Polynomials Problem I: (3xy + 2x)(x2 + 2xy2) The first terms in the binomial should be multiplied: 3xy * x^2 = 3x^3y..."

Tags:algebraic, polynomials, formulas

From the Paper
"James Baldwin's short story "Sonny's Blues" is concerned with the reconciliation of two brothers. One of the brothers, Sonny, is a carefree jazz musician who has a problem with heroin addiction. The other brother, the narrator who does not reveal his own name, is a conservative algebra teacher who has trouble accepting Sonny's way of life. One important theme in the story is that music has redemptive power in its ability to express the pain and suffering that all people share. In the words of Williams, "Sonny's Blues" shows that "music is the medium through which the musician achieves enough understanding and strength to deal with the past and present hurt" (147). Another important theme in the story is that there is a common bond between people in dealing with their mutual suffering. Thus, when the narrator finally accepts Sonny and his lifestyle, by extension he accepts..."

From the Paper
" James Baldwin's "Sonny's Blues" is the story about the clash of sensibilities between two brothers. The unnamed narrator is an algebra teacher, and he is a man who has survived his Harlem upbringing and seeks out a normal life with traditional middle-class values in America. His brother, Sonny, has become a jazz piano player and also a drug user.
The two brothers are clearly very different, yet they have a blood tie and the story explores how the two of them reconcile (or try to reconcile) their differences. In dealing with the story, it would be good to start with a focus on the symbolism of ice and water throughout the story.
When the narrator finds out that Sonny has been picked up in a raid for peddling and using heroin, he becomes extremely tense. ?A great (...)"