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Learning Math with Math Magic

Updated on February 8, 2013

Using advanced cutting-edge methods to "turbo-charge" ways to learn math.

This isn't just a bunch of silly childish, like, "Take a number, multiply it by 9, add your grandmother's age, divide by the number of coins in your pocket, subtract your birthday, and I'll tell you some meaningless number, and bore you to tears with the whole thing."

The great science-fiction author, Arthur C. Clarke once wrote, "Any sufficiently advanced technology is indistinguishable from magic." That's how I see the Idea of magic. It is a sufficiently advanced method of accomplishing something which is not understood by most people. Or, as I like to say, "That which can't, and does."

The goal of Math Mojo is to help people who have not mastered the bland, boring way of old-school math, by introducing them to the "magical" ways of advanced thinking. It's actually easier than the drudgework, and it is much more fun.

So you won't be learning how to make other people look foolish, but instead you'll be learning how to make yourself actually smarter. Now that's magic!

What about those boring tricks?

Well, we can use them to teach some concepts. Just don't try to entertain anyone with them.

Most "math magic" tricks are too transparent to even deal with. OK, OK so I'll deal with one as an example of why we don't want to mess around with them too much:

"Think of a number between 1 and 100, and don't tell me what it is.

"Now take your age, multiply by it by 2, add 5, multiply by 50, and subtract 365.

"Next, take that number add your secret number, (the one you thought of from 1 to 100) then add 115 to the total."

"The first half of the final number is your age, and the other part of the number is your secret number!"

Wow, isn't math boring! But it is easy to figure out.

Breaking it into steps:

Let's call your age "x".

x*2 = 2x

That's simple enough; it means double your age

(2x + 5) * 50

This is the first part of what makes it a puzzle.

(2x + 5) * 50 could be simplified to 100 x+250.

What you have actually done here is multiply your age by 100 and add 250.

To that, you are doing the rest of the equation. Which looks like this:

-365 + secret number + 115

When you subtract 365, add your secret number, then add 115, you are really simply subtracting 250 and adding your secret number, (because of the commutative law of addition)

As an example, let's say your secret number is be 47, so -365 + 47 + 115, which can be commuted to -365 + 115 + 47, which simply means -250 + 47.

So if you do the two parts of the equation together, you have

100 x + 250 - 250 + secret number.

I'm sure you can see how this simplifies to 100 x + secret number.

From there, you can understand that you are basically taking your age, putting two zeros at the end (which is the same as multiplying it by 100), and adding the secret number to that. Since the secret number is between 1 and 100, it will never have more than two digits. Adding a one or two-digit number to a number that ends with two zeros is the same as just taking the first number and sticking the second number behind it.

Simply put, the "magician" is saying, "Take your age and stick some number behind it. Now tell me what it is, and I'll tell you what you told me." Spooooky!

The reason that it seems puzzling is because the method artificially complicates the equation. This is a very primitive use of what magicians call "misdirection."

Read on ...

I wrote this e-book because I was disgusted with the way we are normally taught how to multiply. This booklet will open your eyes to a new world. You will learn a method to teach any child basic multiplication of single-digit numbers (what we normally call "the times tables" or "multiplication facts") in about two minutes.

The booklet then goes on to show how to "lock this knowledge in."

It also comes with seven e-mail lessons that will show you the math behind the method, so you can actually understand and show your child why it works!

And here's the big news: I've just added over a dozen videos to help you super-charge your learning and practicing. They are easy to follow and fun. I "hold your hand" as you practice, until you can do over thirty multiplications in a minute.

I truly believe that every parent and teacher should know what is taught in this booklet, so every child can have a meaningful, helpful method for dealing with this important subject.

You can order "Numbers Juggling - (Times without the Tables)" here.

Boring "Tricks" Part II

The last words on boredom. After this, we do some real magic!

Please, please, please don't rush off and try to fool someone with this. It is a boring puzzle disguised as a magic trick, not really a magic trick at all. Magic should require that the audience be willing to suspend their disbelief in order to be amused. This kind of trick, on the other hand, requires you to bulldoze the audience with complicated nonsense in order to confuse them.

Dai Vernon (affectionately known among magicians as "The Professor") was arguably the greatest sleight-of-hand magician of the twentieth century. He was also possibly the greatest magic theorist of that century. One of his favorite sayings was, "Confusion is not magic."

Puzzles like this simply confuse people, which frustrates them. They are not amused, they are generally bored and annoyed. You may be amused, but you won't entertain anyone with this stuff. You won't fool too many people with it, either. Everyone suspects the trick works on the above principles, but they just don't know the exact equation. Not because they couldn't figure it out if they wanted to, but because they don't think it's really worth figuring it out.

Trying to entertain someone with a "trick" like this is like trying to be the "life of the party" by playing "Blowin' in the Wind" on your guitar.

I was going to say, "Leave the math tricks to the professional magicians," but it is a rare magician indeed who can make them interesting. And the ones who can are doing much more advanced things than the silly puzzle above.

Magic performance requires skills way beyond "knowing the secrets."

Real magic, on the other hand (not the show kind) is what you use to improve yourself and the world. It is a method ("sufficiently advanced") that you can use to teach, learn and accomplish meaningful things.

Is there ANY value to those boring tricks?

Yes! (But not as "tricks.")

There's nothing wrong with those little number-chestnuts as amusing little diversions that you can use to interest young children and new adult math-learners in learning some of the "mysteries" of how math works.

Figuring them out as puzzles is a fine recreational and pedagogical passtime. It's fun to figure out how things work. That's what separates them from good performance magic. With a good performance, the audience is enchanted. That is different from simply being fooled.

But if you waded through the above "trick" and explanation, you may have actually been interested in the ways the math worked. That is wonderful thing in itself. There are plenty of sites with simple number tricks on them, and I'm sure you can find them if you need to impress yourself or small children. (OK, I know I'm being snide, there. I'm kidding though, I know these things are fun to investigate.)

Now that we are finished with "number tricks," let's learn some real math with magical methods. That's better than hokey magic with mathematical methods.

Speed Multiplication by 11 (and 12) - The first "trick"

Click on the link below for a great introduction to the power of using magic methods to do meaningful math.

Great Math Newsletter for all Ages (FREE!)


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Tons of tips to help you understand math, easily.

It's FREE and it's FUN!

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Great Math Books for Every Home - Personal Recommendations from Professor Homunculus

The Number Devil: A Mathematical Adventure
The Number Devil: A Mathematical Adventure

From the review: "...introduce basic concepts of numeracy, from interesting number sequences to exponents to matrices. Author Hans Magnus Enzensberger's dry humor and sense of wonder will keep you and your kids entranced while you learn (shhh!) mathematical principles."

Professor Homunculus sez: "If you are helping a child learn math, this book is a MUST!"

Playing with Infinity: Mathematical Explorations and Excursions
Playing with Infinity: Mathematical Explorations and Excursions

From the a reader's review on "This book explains the why's behind math from principles as basic as counting to as complicated as series, geometry, and even some calculus principles. It is written in a conversational tone with lots of pictures (yes, and numbers). Each chapter builds upon the last, and it is easy to follow (though sometimes dense). It was my first "fun" math book and is still by far my favorite."

Professor Homunculus sez: "I couldn't agree more!"

Mathematics for the Million: How to Master the Magic of Numbers
Mathematics for the Million: How to Master the Magic of Numbers

This book is a classic. It was the book that launched the intellectual self-improvement movement in America. It is perhaps the best book on general math ever written. Hogben takes you from the birth of mathematics to calculus in a lucid, human way. Even if you use only this one book, you will not only understand everything you will need for all of high-school math, and most of college math, but you also have a good basis for understanding the spirit of mathematics. H.G. Wells called it, "A great book, a book of first-class importance."


What interests you?

What is the basic reason you are interested in learning math by magic?

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    • profile image

      shatabdi85 3 years ago

      Tricks are very useful.

    • profile image

      yogh26 5 years ago

      This is very useful in competitive exam where we have to do calculation in less time

    • kristiene lm profile image

      kristiene lm 6 years ago

      I found your web site whilst checking for something distinct on Google about topics related to Magic Tricks, although I had the opportunity to go through this article and I found it really useful indeed.

    • profile image

      bilbo959 8 years ago

      I checked out some of your other math lenses for my daughter, and I can't wait to show her this one.

    • profile image

      anonymous 8 years ago

      I am a GED teacher and am always looking for creative ways to teach. This website is very interesting and I will be ordering your booklet.

    • profile image

      chetbyles88 8 years ago

      I bought your "Times without the Tables" booklet for my students. So far it has had a great "hit rate" of helping kids who otherwise never "got" the tables. Thank you for your work.

    • profile image

      anonymous 8 years ago

      hey, great stuff, it will help a lot to me to finish my thesis. thanks.....

    • profile image

      MrMarmalade 8 years ago

      I like this lens it has shown me a lot that has always puzzled me. Thank you Top Five stars and Fav u

    • profile image

      anonymous 8 years ago


      This a very good lens,Iam a great fan of math-magic.These ways can be used to teach kids the math-magic.Thanks for your info.

      Your feed back to my thelocalmagician blog would be appreciated.

    • profile image

      anonymous 9 years ago

      this site is neat! it makes math fun and approachable! and as a newly hatched math fan (hated it at school, but now i am learning for fun - who knew?!) i found it fun and interesting!

    • profile image

      MarkZagnut 9 years ago

      Excellent. I am a magician, so I like how you differentiate "magic" from "tricks." If people would realize this difference, and appreciate it, they'd understand a lot more about the nature of reality. I know that sounds absurd, but it's true.

    • profile image

      sidvicious2008 9 years ago

      Valuable info. You don't see stuff like this anywhere else. I like your style.

    • profile image

      Max_Nix 9 years ago

      Thoughtful stuff. I hope people understand the deeper meaning behind it. I like recreational math, as well. Big Martin Gardner fan.

      Nice work!

    • evelynsaenz1 profile image

      Evelyn Saenz 9 years ago from Royalton

      What a great lens! I have added it to my favorites and joined your fan club.

      Playing games is a great way to practice and learn math. Using a Hands-On Approach to learning is the best way for children to truly grasp mathematical concepts. I look forward to reading more of your lenses.

    • profile image

      thomasz 9 years ago

      Interesting lens. Nice info.

    • profile image

      SteveRogers 9 years ago

      I like your ideas very much. They make more sense than normal math teachers. I wish math teachers would learn something from this.

      Best of luck!


    • profile image

      anonymous 9 years ago

      Thanks! I'm a 5th grade teacher who wants to interest students in math. Magic is a great way to do it! I'm booking your site on favorites!!!

    • profile image

      anonymous 9 years ago

      Good idea!!! Moe kids should log on!!!

    • profile image

      EeHai 9 years ago

      Math is a very interesting subject. It can be wonderful with its magic tricks going round amazing people. However, the basis to understanding math requires practices and linkage of facts with applications. Math can train a person to develop a flexible mind. Enjoy math! You have a great site. Good!

    • profile image

      anonymous 9 years ago

      Hey, cool site. You should put up more stuff!

    • profile image

      JoeHuntington 9 years ago

      What a great way to teach kids about real magic!

    • profile image

      puppetess 9 years ago

      I like how you make sense. Why is it that people who are paid to educate don't seem to know this stuff?

      Great work!

    • profile image

      anonymous 10 years ago

      Brian, I do like your site. It catches your interest immediately! I never felt very strong in math abilites. I would like to spend more time on your site. Thanks for including me in your email!!!

    • profile image

      anonymous 10 years ago

      What a great idea!