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Mathematics Articles 
Mathematics articles for teachers and other educators. "Mathematics education is the study of practices and methods of both the teaching and learning of mathematics. Furthermore, mathematics educators are concerned with the development of tools that facilitate practice and/or the study of practice. Mathematics education has been a hotly debated subject in modern society. There is an ambiguity in the term for it refers both to these practices in classrooms around the world, but also to an emergent discipline with its own journals, conferences, etc." Source: Wikipedia.
Mental mathematics - under various guises - is a skill of rapid calculations; arithmetic calculations being the most common variety. Those who possess an innate aptitude for mental mathematics are known as human calculators. They may not even know why their methods work, but with a few rare exceptions, those methods have a simple algebraic explanation. Practice and understanding of the basics help the regular folks who were not born the human calculators acquire the necessary skill. But is th
2: Mathematics and Puzzles (Not Rated)
As children, we all loved mathematics and working out puzzles. Mathematics was an all-important tool to answer questions, like "How many," "Who is older," "Which is larger." And puzzles were of course everywhere. We did not stop to check a dictionary to ascertain that a puzzle is something, such as a toy or game, that tests one's ingenuity. We did not care about our ingenuity a little bit, but just thrived on learning new things and skills that the nature made us
3: Fractions- Why Are They So Hard? (Not Rated)
By Joe Pagano
Not even signed numbers cause as many problems as those two-headed monsters called fractions. But why so much trouble? Maybe because fractions have a dual nature, that is, they consist of the numerator and denominator, and most of us are poor at multitasking. But did you know that once you master fractions, you learn to handle multiple tasks as well? This is one of the benefits of mastering these pesky little creatures.
In my humble opinion, I would venture to say that any k
4: Top 5 Mental Math Methods in the World (2.50/5)
By Gaurav Tekriwal
Today you can define mental math in various different ways. Some would say, memorizing times table and remembering the solutions can form the part of mental mathematics. Some would say ability to perform simple calculations in your head can be mental mathematics.
The web dictionary defines mental mathematics as "Computing an exact answer without using pencil and paper or other physical aids."
Today there are five methods available to learn and practice menta
5: Seeing is Believing (Not Rated)
Mechanics of human vision that underlies the theory of RDS is quite simple. Focusing the eyes behind the screen makes our brain believe there is a depth separation in the image and interpret the visual signals accordingly. The theory of RDS could be found at the above mentioned sites. However, the fact is that, the simplicity of the theory notwithstanding, some people manage to see those 3D images, while others do not.
My wife is of the latter kind. With all my cajoling and explanations she
6: Mathematics and Critical Thinking, Part II (Not Rated)
In the previous article I began telling the story of an unusual high school geometry course run at the Ohio State University in 1930s. The course has been designed and taught by Prof. Harold F. Fawcett who later published an account in The Nature of Proof (NCTM, 13th Yearbook, Reprint 1995). To quote from the book,
There has probably never been a time in the history of American education when the development of critical and reflective thought was not recognized as desirable outcome of the seco
7: Mathematics and Critical Thinking, Part I (Not Rated)
Once upon a time, at the first meeting of what was supposed to be a high school geometry course, the teacher surprised the students with the announcement:
There is no great hurry about beginning our regular work in geometry and since the problem of awards is one which is soon to be considered by the entire school body I suggest we give some preliminary consideration to the proposition that 'awards should be granted for outstanding achievement in the
8: Parrondo's Paradox (Not Rated)
Parrondo's Paradox is a double shocker. Counter to common intuition, it is possible to mix two losing games into a winning combination. This is a good news. But do not rub your hands just yet. The theory does not apply to casino games. Learning about it all must be its own reward. On the positive side but shaky ground, Sandra Blakeslee reported last year in NY Times that Dr. Sergei Maslov from Brookhaven National Laboratory had shown that if an investor simultaneously shared capital between two
9: Is Mathematics for the Left Brain? (Not Rated)
Drawing on the Right Side of the Brain is a drawing-instruction book, first published in 1979. In her book, Betty Edwards, Professor of Arts at California State University, builds on the then novel theory that the two halves of the brain function differently. The left hemisphere is responsible for verbal, abstract, symbolic activities. The right hemisphere serves for synthetic, holistic, intuitive perception and information processing. Under normal circumstances, the left hemisphere is the mo
10: Hey, Who Said You Couldn't Do Math? - It's All in Your Head (Not Rated)
By Joe Pagano
So you think you can’t do math, huh? Well, what if I told you that without even an algebra background I could teach you some calculus right here and now? You don’t believe me. I thought so. This unbelief proves how programmed you’ve been from early on to reject mathematical teachings. Whoever laid this negativity on you really did a number on you. Well, let’s get rid of that negative programming and feed you some really positive stuff.
In this short article, I am going to pr
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