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Algebra represents some peoples fondest memories of high schooland for others, it goes down in personal history as the one activity that tuned them out on math forever. But algebra offers instant help with an issue nearly everyone needs to think aboutpersonal finances. For an example, lets use algebra to figure the age at which you should begin withdrawing Social Security.
Social security remains a popularyet always-controversialgovernment program. When President Franklin Delano...
How to Rationalize Your Cooking: Using Laws of Proportion in the Kitchen
The word "rational" has all kinds of connotations - good and bad - in today's culture. Be rational, we say to people who seem unable to see reason. Or, conversely, we tell people all too skilled at using fake logic to justify their own bad ideas: You're just rationalizing.
The word - and its varying valuations - attests to the deep uncertainty we feel toward the rational mind; we worry that it cuts us off from emotion and bias, from much of what it means to be human, even as we celebrate its...
How to Win With Math
Every day, we make decisions based on what we think may, or most likely will, happen. Many of these decisions seem to be based more on wishful thinking than on logic - sure, you'll run off that extra banana split! No, of course you won't get a parking ticket in the course of a five-minute stop! But nowhere can we see more of these hopeful, if not necessarily logical, guesses about the future than in gambling and betting.
From the stock market to the office betting pool, from the political...
Eta Bita Pi: One of the World's Most Interesting Numbers
Circles are odd things. We encounter them all the time in nature - in fact we couldn't exist without them, the earth and all its heavenly neighbors (including the sun) being spherical - and yet mathematicians and geometers insist that there are no perfect circles, outside the realm of theory.
Circles turn up in mythology, religion, literature, and culture - pagan religions insist on the importance of "sacred circles," while in Eastern Orthodox Christianity the Trinity is sometimes conceived of...
From Algebra to Art: Math's Many Applications
It's a question every math teacher hears. Most dread it. Some - the most creative - practically look forward to it. But love it or hate it, no one teaches math for long before a student asks: "How is this gonna help me in the real world?" Quite a bit, in fact. By reading up on the many careers for which the study of mathematics is the best preparation, every teacher can learn to handle this question so as to build, not break, student confidence and attentiveness.
First of all, and most...
How Numbers Helped Save One Venerable Magazine
Among publishers, advertisers, and other business folk, the idea that Americans hate numbers is almost proverbial. One publishing-industry dictum holds that each equation an author puts in a book's manuscript will cut that book's sales in half. Pundits decry slipping American math scores, suggesting that such math illiteracy may indicate threats to future American dominance in business and industry. And, in business school, teachers warn their students against "data-dumping," AKA giving...
History of Mathematics
If you've taken a first-year college history course - or read through a basic history textbook - you may have noticed a small gap. It's only a thousand years or so.
For a long time, the history of Western culture was told like this: around the fifth century BCE, math, philosophy and science developed, thanks to the hard work of some very smart Greeks such as Thales, Plato, Archimedes and Aristotle. Then Rome took over Greece, and Rome fell, and things went dark for a thousand years or so. Then...
China: A Dynasty of Mathematical Genius
One of the most fascinating things about history is the amount of it that's been wiped out - on purpose. For example, in the ninth century CE, the greatest library in the world, the Library of Alexandria, was burned in an act of war, and ever since, history buffs have kept themselves tantalized and amused by trying to guess the identity of some of those books we'll never see. From the burning of libraries to the destruction of presidential diaries today, the idea of the lost book holds a...
Math Help for the Adult Student Returning to School
More adults than ever before are returning to formal education. Some want to learn what they have failed to learn in high school. Some have made the momentous decision to earn a high school diploma or to go to college for the first - or second or third - time. And some, particularly those in mid-life, want additional education in order to recharge a stalled career or start an entirely new one.
The growth of adult literacy programs, both online and community-based, has made it even more...
Math Help Can Be a Good Family Activity
We all use math in our everyday lives. Many of us consider ourselves to be "math phobic", "math deficient" or "mathematically challenged." Perhaps we communicate these ideas to our children or perhaps we and our children truly are any or all of the above. In educational institutions, where math is taught largely in the abstract and without practical application, particularly in the elementary grades, this inability comes as no surprise.
Have you ever tried to teach someone how to tie shoelaces...
How Does Your Childs Mathematical Garden Grow? A Brief Overview of Methodology in the Math Classroom
For those of us who are old enough to remember classrooms with walls, the methods we used to learn math were teacher-centered and method-based. Those who came of age before cooperative learning became prevalent in schools probably remember learning one method of solving problems and some of us may have felt the sting when we could not understand or even use that method at all.
My own encounter with The Mathematical Wall came in the second grade, when my class was learning to borrow in...
The Math Hidden in Your Living Room
A question that vexes math students and teachers alike - "How does this apply to the rest of my life?" - turns out to have some surprising answers. Geometry in the living room? Statistics in your ledger? Yes, and yes.
One place where math affects almost everyone, of course, is the pocketbook. Anyone who has undertaken a home decorating or remodeling project knows just how much our plans are constrained (and sometimes inspired) by the need to stay within budget! What many people don't know is...
Math Education: A Challenge and a Joy
Don't worry about your difficulties with math, Albert Einstein is said to have told a schoolgirl who wrote to him to lament her lack of success in the subject - "Mine," he wrote, "are still greater." Like many of Einstein's off-the-cuff remarks, this one contains a profound truth. Math is the sort of subject that increases in complexity the more you understand it; as the diameter of your knowledge grows, so does the circumference of your ignorance.
Some educators see this expanding difficulty...
Chaos Theory: What is It?
Flannel shirts. Dial-up connections. "The X-Files." Nirvana and NAFTA. Baggy pants and "Seinfeld." The Bridges Of Madison County and Rent. The phrases "At the end of the day," "Generation X," and "Think outside the box."
And ... higher mathematics?
Like any decades, the 1990s had its trends, from the sartorial (backwards baseball caps) to the musical (grunge and, far more painfully, post-grunge), from the televisual (all those "Simpsons" ripoffs) to the political (Bill Clinton's "New...
Never Tell Your Kids They're Smart
So math wasn't my best subject. Alright, it was my worst subject. I'm more of a language person, really. Considering my father taught statistics at the local university, and that everyone in my tiny town knew him, it was rather embarrassing. "Hey, aren't you supposed to be good at this," my friends would ask when they got stuck on a math homework problem. "Don't come crawling to me when you need a paper edited," I'd snap back.
I learned quickly that we might all have different talents, but...
Saving Our Dropouts by Saving Math: Math Grades May Predict Who Survives High School
Research conducted in 2005 by Johns Hopkins University and the Philadelphia Education Fund revealed that as many as half of all Philadelphia high school dropouts showed signs predicting their early departure from school as early as the sixth grade. Four factors were essential in forecasting these AWOL students: low attendance, poor behavior, failing math, and failing English grades. Such research is indispensable in the fight to raise America's educational standards and to help struggling...
Mathematics: A Beautiful Evolution
Most of the mathematical concepts we encounter every day - numbers, addition, subtraction - seem so basic, so hard to avoid in discussing reality on even the most basic level, that it's hard to imagine someone having to sit down and invent them. Who was the first person to look at two rocks and think, "Two more and I've got four?" The very idea almost seems absurd.
But mathematics is, in part, a language - not just a set of logical relationships and entailments that seems deeper than words,...
Get Real! Real Life For Ways For Parents to Provide Math Help
Toddler Tips
Does your toddler appear to have a streak of your genius? Do you seek strategies to enrich your toddler's intellectual capacity?
Recent research has challenged the conventional notion that small children have native ability to distinguish quantity and to count.
Research by Janellen Huttenlocher, Susan Levine and Kelly Mix indicates that toddlers may not have the native ability to distinguish different items because of the level of their language development skills. Contrary to...
Math Help: Why is My Child Struggling in Math?
Parents often ask why their children are doing poorly in math, particularly in grades 2-6. For young children, abstract quantities can be daunting, especially when taught in the context of skill drills. Many children do not find immediate meaning in numbers as symbols, although that is what parents and math teachers hope to convey to them.
Children in third through fifth grades who are having difficulty with procedural operations, such as long division and multi-digit multiplication, very...
How Parents Can Find Answers to a Child's Mathematics Problems
According to some research reports, few students are referred to special education testing for mathematical disabilities. In fact, mathematical disabilities do not exist as a structured whole in testing situations but rather as a group of abilities, usually distilled into the arithmetic or computational disability. Children and even adults who cannot remember multiplication tables or add a set of numbers are often thought of as disabled or un-abled while those who are said to have spatial...
Playing Games: What John Nash Was Actually Famous For
As Chariots Of Fire did for Eric Liddell and Braveheart did for William Wallace, the 2002 film A Beautiful Mind made mathematician John Forbes Nash a household name - without necessarily rendering his life, or his work, much better-understood. Audiences and critics welcomed the movie - it won a 2004 Academy Award - but enthusiasts of Nash's work insist that even bigger rewards await those who study Nash's real-life work, and the esoteric discipline, game theory, in which he made his name.
Born...
Math Tutoring for the Real World
If you're the parent of a student who is having a difficult time with math, you're familiar with the complaint that equations seem "pointless." Students want to know how solving equations with variables will help them in the real world. Students arent sure that real people in the real world use math to solve real problems in their daily lives.
Students need to understand that logic used to solve math equations is a skill that will benefit them throughout life. Even in non-math situations, it...
Get Anxious About Your Anxiety: You May Be Inducing Your Kids' Math Panic
It turns out you may be to blame for your kids' math anxiety issues. According to the 2001 report, What Are the Relationships Between Math Anxiety and Educational Levels In Parents and Math Achievement In Their Children? by LeAnn Dahmer of Tennessee State University, parental math anxiety is a contributing factor in their children's lower test scores.
The purpose of Dahmer's study was to "clarify the relationship between math anxiety and educational levels in parents and math achievement in...
Even the Brightest May Need Math Homework Help When Learning Algebra
Learning algebra can be difficult for even the brightest of students. Furthermore, all levels of students, from junior-high school through adult, as well as many college students find it necessary to review algebra concepts in preparation for advanced courses such as calculus. For others, algebra review is an integral part of studying for standardized tests like the GRE.
When it comes to pre-algebra and algebra, solving for an unknown factor can be very intimidating for students who are used...
Learn How To Get Started Trading Stock
The majority of trading of stock is accomplished electronically on the computer and involves more hard work than the outsiders comprehend. A majority of the "how to dive into trading stock" books on the market do not give the reader any real indication to what he might be getting in to. Because these books give the concept that making big money is so easy to do, they enter the market misinformed about stock trading in general and subsequently part with their initial funds.
Capital...
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