Math Articles
Here is a list of articles from various resource. This is just a resource list. The authors deserve all the credit. Be sure to explore their sites.
Featured Sites
Shelley's Mathematics Articles
A list of numerous Math articles by Shelley Walsh. We have found them to be very helpful and interesing.
History
Math History from Various Cultures
A list of various subjects in math and math history.
Mathematics History
Thinkquest's Mathematics History Page.
History of Mathematics
Every culture on earth has developed some mathematics.
Wikipedia- History of Math
A comprehensive history of Math that can be added to or updated.
Topics in Mathematics
Math Archives' History of Mathematics
The History of Mathematics
David R. Wilkins - Trinity College, Dublin: Math History Page
Famous Problems
Math Forum: Famous Problems in the History of Mathematics.
Math History Theme Page
This "Theme Page" has links to information about Math History.
A Gateway to Modern Mathematics
This is a collection of short articles designed to provide an introduction to the areas of modern mathematics.
Basics
How to Add, Subtract, Multiply, and Divide Fractions
Operations in Fractions.
How to Prime Factor a Number
Help for math students including several worked out examples.
Finding LCDs, LCMs, and GCFs
How to find the greatest common factor, the least common multiple, and the least common denominator.
How to Add, Subtract, Multiply, and Divide Integers
Plus and minus number arithmetic, as well as multiple and divide.
Integer Exponents
An explanation for math students of what integer exponents mean, videos included.
Rational and Irrational Numbers
Lesson Page on Rational and Irrational Numbers.
The Order of Grouping Agreement
A way to think about order of operations for mathematics students and instructors.
Complex Fractions
How to deal with fractions that have fractions in them.
Squares and Square Roots
To understand square roots, first you must understand squares
Irrational Numbers
Why does anyone care whether the decimals terminate or repeat? This article attempts to explain what rational and irrational numbers are really about, ratios.
Algebra
Translating Verbal Expressions to Variable Expressions
This article will hopefully help algebra students learn how to translate words into algebraic expressions.
Getting Rid of Parentheses
Help for algebra students on simplifying expressions where there are parentheses.
Simplifying Exponential Expressions
Explanation and worked out examples for mathematics students.
Linear Equations
Way of solving one variable linear equations.
Translating Sentences into Equations
This is about a technique that helps algebra students translate sentences into equations.
How to Solve Percent Increase and Decrease Problems
How to solve percent increase and decrease problems.
How to Add, Subtract, Multiply, and Divide Polynomials
Introduction and Vocabulary of Polynomial Arithmetic.
Factoring Polynomials
Explanantion of the techniques of factoring polynomials.
Rational Expressions
An explanation of how you can deal with algebraic fractions the same way as you do number fractions with worked out and explained examples.
How to Rationalize a Denominator
Help for algebra students with several worked out examples.
Quadratic Equations
Solving quadratic equations by factoring, completing the square, and the quadratic formula.
A Geometrical Approach to Completing the Square
An alternate approach for those who like the visual including in addition another explanation of why minus times minus is plus.
Complex Number Arithmetic
A quick lesson on dealing with the imaginary in mathematics.
Using Function Notation
This article will provide help for both students and instructors with the difficulties that students have with dealing with expressions like f(x+1). It can also be helpful for teaching and learning about composition of functions.
Polynomial and Rational Inequalities
This is what I think is the simplest way to approach solving these inequalities.
How to find Compositions of Functions
Some help with dealing with the notation when finding the composition of two functions and some worked out examples.
How to find the Inverse of a Function
Explanation and some worked out examples
Synthetic Division
This is an explanation of how to use synthetic division why it works.
Polynomial Equation Examples
Here are some worked out examples of solving polynomial equations of degree higher than 2 using synthetic division, the rational zeros theorem, the upper and lower bound theorem, and Descartes Rule of Signs. I'm trying the best I can to explain how approach these problems in hopes that it will gives some ideas to students. These examples take a while to work out, so there is never enough time in class to give enough of them.
The Inverse Properties of Logarithms
I think it is helpful for students to understand the properties that tell you that logs and exponentials undo each other without referring to inverse functions. By thinking through the logic of these carefully they can become so obvious that you could never forget them.
The Three Big Properties of Logarithms
An explanation of how these properties following from the corresponding exponential properties and some worked out examples of how to use them.
Some Techniques for Solving Exponential and Logarithmic Equations
Unit Conversion
On Line Unit Conversion
Looking for a conversion chart? You've found the right place.
Geometry
Pythagorean Theorem Puzzle
An easy to understand proof of the Pythagorean Theorem using a puzzle that you can print out and cut up.
Pi - Wikipedia
The number pi has played a role throughout history in mathematics.
Analytical Geometry
How to Find Equations of Lines
Slopes, intercepts, etc., including equations of parallel and perpendicular lines.
Relatons in Discrete Math
Math is fun forum.
Graphing Quadratics
How to graph quadratic functions by stretching, shrinking, pushing around, and completing the square.
Equations of Circles
Definition of a circle.
Trigonometry
Mathematical Techniques in Astronomy
Mathematics is and always has been of central importance to astronomy.
Graphing the Sine and Cosine Functions
In this lessons, the basic graphs of sine and cosine will be discussed and illustrated.
The Cosine Difference Formula
This picture shows an animation of the geometry necessary to derive the cosine of a difference formula.
Double Angles and Half Angles
How to get these trigonometry formulas from the sum formulas, etc.
Compositions of Trigonometric Functions and Inverse Trigonometric Functions
An explanation of the less formal method of simplifying expressions like sin(arccosx) by using triangles and the Pythagorean Theorem instead of trigonometric identities.
Solving Trig Equations
Discussion of solving equations involving trigonometric functions.
Mathematicians
What Do Mathematicians Do?
An inspiring and thought-provoking article by Prof Berrick.
What is Mathematical Maturity, Really?
An interesting question raised by a student on the newsgroup sci.math generated the following interesting and illuminating comments.
Are Mathematicians Past Their Prime At 35?
Indeed, Math is a young man's game. Or is it?
Tips For Authors
Tips on writing an impressive Math article - funny and satirical.
Combined Content
MathPages Combined Contents List
This is a combined list of articles available on the MathPages site. These are very interesting articles.
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