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Fractured Memories

Some fractions are a part of everyday life; dimes, quarters, nickels, hours, minutes, seconds, etc. These are relatively easy to manage mainly because we deal with them so often. Everyone just “knows” that 1/2 is 0.5, and 1/4 is .25, and 1/10 is 0.1; we’ve had it ingrained in us through massive amounts of repetition. I go one step further; I can usually estimate the decimal equivalent of just about any fraction that comes up in my life. Super useful? Maybe not, but it has good show-off value, and I think it’s fun!

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Mom was right

Ah, Mother’s Day. Admittedly, Math isn’t the first thing you think about when scrambling for that 1-800-Flowers phone number (I always forget that one) or that last box of chocolate from the drugstore. However, one of the memories that sticks in my mind most about my Mom is arguing with her about Math during dinner about .9 repeating and 1. Before you think we’re crazy, please keep in mind she’s a Math teacher, and I have some small interest in the subject myself. So here’s to you, Mom. I finally realized you were right some time ago, but don’t think I ever said so.

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Pi for lunch?

Happy Pi Day! Yes, it’s that time of year again when the month and day (in the American form of date representation) for those legendary 3 digits 3/14, also known as the beginning of the mathematical term Pi1. Being The Count, however, I’m certainly not satisfied with just one Pi Day each year, or just matching 3 digits of Pi for my festivities. No, I must venture forth to find other Math-related dates to share the joy that is the geeky holiday.

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Alternative Math Methods


A lot of math is broken down into processes. Start with a problem, do this, do that and, voila, you have the answer. Most people in America learn the same processes for doing most basic arithmetic, and it’s easy to forget there might be other ways to solve these problems. The positional decimal system developed by the Indians (of India) is the standard taught in every school I’ve ever been in, but it’s not the only way to multiply two numbers1. The following is a description of another method I like for its enforced structure and visual guides.

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The shortest path

Shortcuts are a great way to do a lot of math in your head. You know the guy in the office that always responds when you ask “What’s 25 times 56?” He’s using shortcuts, and so can you. The best thing about these so-called tricks? They always have a real math basis, or they wouldn’t work! Here are a few multiplication shortcuts. Learn them, and you’ll see how often the situations for which they are useful show up.

What’s the square of [some number > 20]? Does this come up for you very often? Well, maybe not, but from the square you can get great estimates on other products, and you’ll be surprised how often you come across the problems when you can easily solve them. Now, no one really expects you to memorize all the squares to 100 but, with a few shortcuts, you can compute most of them fairly easily.
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Making more math geeks

You may have noticed that I like math. This is not a new thing for me. Math has been a part of my life for as long as I can remember, and not in the organic sense of counting blocks or birthdays. My parents, both with degrees in mathematics, spent a good amount of time making sure I had no troubles in school in any field, but especially math. Now that I have kids, I’ve been doing my own part to make sure they never need to spend valuable school time figuring out the math on the board, they already got it at home. Note, this doesn’t exactly make me a favorite parent with their teachers; making kids “bored” in school doesn’t endear me to them, but teaching them is such fun I can’t really help myself.

Counting from 1 to 10 is something kids get from many sources; television, children’s books, etc. I won’t cover that here, and my kids could count a bit higher than that when I started with these exercises. The following are several good methods to used to give kids the tools to solve most any math problem they can think of.

Number Line: The first basic math technique you should teach a child is the number line1. This gives kids a handy way to compute sums and differences without breaking out the fingers and toes. Try creating several worksheets where each row has its own number line followed by a single-digit addition problem.

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