What is MathMagic?

MathMagic is a K-12 telecommunications project developed in El Paso, Texas by Alan A. Hodson. It provides strong motivation for students to use computer technology while increasing problem-solving strategies and communications skills. MathMagic posts challenges in each of four categories (k-3, 4-6, 7-9 and 10-12) to trigger each registered team to pair up with another team and engage in a problem-solving dialog. When an agreement has been reached, one solution is posted for every pair.

MathMagic has received wide ideological acceptance by hundreds of past FidoNet users (spearheaded by Carol Hooper), because it addresses most of the National Council of Teachers of Mathematics standards. A modified format expanded into the Internet and has been available via regular e-mail or via the World Wide Web (WWW) since 1993.

Who can participate?

K-12 teachers and students, but higher education teachers, librarians, technology coordinators, computer teachers, and even home-schoolers are joining to act as facilitators.

What is needed?

Any teacher with access to electronic mail via the Internet can participate. AllInternet Service Providers (AOL, Compuserve, FlashNet, PrimeNet, etc.) now offer e-mail gateways and other Internet services. MathMagic is best suited to schools that use computers with modems and/or have direct Internet access.

In some areas, a local Bulletin Board System (BBS) or a Net user (such as a parent with net access) may have to act as a go-between. Please ask about special arrangements.

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Math Division Tricks 1.0

With Math Division Tricks enter a number, and find out if it can be divided by a number that comes between two and twelve. In addition learn the division rules from two to twelve.Math Division Tricks will allow you to know about numbers and division rules.

CNET Editor's Note: The "Download Now" link directs you to the iTunes App Store, where you must continue the download process. You must have iTunes installed in order to open the link, and you must have an active iTunes account to download the application. This download may not be available in some countries.

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Mental Math Tricks

Have you always wanted to be lightning-fast at math? Did you wish you can do fast math in your head?

Have you wondered why some people have an almost unnatural ability to solve math problems in their heads faster than you can do them on a calculator?

The truth is, anybody can learn how to calculate very quickly with just a few math tricks. The techniques do not take long to lean, and with just a little practice, you can become a seemingly mathematical wizard!

These math tricks are taught to you very clearly in “Fun With Figures”. You can quickly learn these tricks and impress your family, friends, and coworkers:

• How to multiply any 2-digit numbers together in your head within seconds!
• The magic phrase you can use to instantly check your change.
• How to calculate naturally – from left to right!
• How to double-check your bills by using a single number.
• The easiest method ever for dealing with fractions!
• A brand new approach to multiplication.
• 11 little words to instantly overcome the most-feared mental math sum of them all: long division.

These techniques are for everybody – especially kids!

The methods taught in this book are FUN! And they will inspire a love for math in kids which is important in order for them to do well in their studies of the sciences.

Beat the Calculator - Squaring

Squaring a 2-digit number

1. Take a 2-digit number beginning with 1.
2. Square the second digit
   (keep the carry) _ _ X
3. Multiply the second digit by 2 and
   add the carry (keep the carry) _ X _
4. The first digit is one
   (plus the carry) X _ _

Example:

1. If the number is 16, square the second digit:
   6 × 6 = 36 _ _ 6
2. Multiply the second digit by 2 and
   add the carry: 2 × 6 + 3 = 15 _ 5 _
3. The first digit is one plus the carry:
   1 + 1 = 2 2 _ _
4. So 16 × 16 = 256.

See the pattern?

1. For 19 × 19, square the second digit:
   9 × 9 = 81 _ _ 1
2. Multiply the second digit by 2 and
   add the carry: 2 × 9 + 8 = 26 _ 6 _
3. The first digit is one plus the carry:
   1 + 2 = 3 3 _ _
4. So 19 × 19 = 361.

Applied mathematics

Applied mathematics considers the use of abstract mathematical tools in solving concrete problems in the sciences, business, and other areas.
Applied mathematics has significant overlap with the discipline of statistics, whose theory is formulated mathematically, especially with probability theory. Statisticians (working as part of a research project) "create data that makes sense" with random sampling and with randomized experiments; the design of a statistical sample or experiment specifies the analysis of the data (before the data be available). When reconsidering data from experiments and samples or when analyzing data from observational studies, statisticians "make sense of the data" using the art of modelling and the theory of inference – with model selection and estimation; the estimated models and consequential predictions should be tested on new data.[35]

Computational mathematics proposes and studies methods for solving mathematical problems that are typically too large for human numerical capacity. Numerical analysis studies methods for problems in analysis using ideas of functional analysis and techniques of approximation theory; numerical analysis includes the study of approximation and discretization broadly with special concern for rounding errors. Other areas of computational mathematics include computer algebra and symbolic computation.

nspiration, pure and applied mathematics, and aesthetics

nspiration, pure and applied mathematics, and aesthetics
Main article: Mathematical beauty
Sir Isaac Newton (1643-1727), an inventor of infinitesimal calculus.

Mathematics arises from many different kinds of problems. At first these were found in commerce, land measurement and later astronomy; nowadays, all sciences suggest problems studied by mathematicians, and many problems arise within mathematics itself. For example, the physicist Richard Feynman invented the path integral formulation of quantum mechanics using a combination of mathematical reasoning and physical insight, and today's string theory, a still-developing scientific theory which attempts to unify the four fundamental forces of nature, continues to inspire new mathematics.[15] Some mathematics is only relevant in the area that inspired it, and is applied to solve further problems in that area. But often mathematics inspired by one area proves useful in many areas, and joins the general stock of mathematical concepts. A distinction is often made between pure mathematics and applied mathematics however pure mathematics topics often turn out to have applications e.g. number theory in cryptography. This remarkable fact that even the "purest" mathematics often turns out to have practical applications is what Eugene Wigner has called "the unreasonable effectiveness of mathematics."[16] As in most areas of study, the explosion of knowledge in the scientific age has led to specialization: there are now hundreds of specialized areas in mathematics and the latest Mathematics Subject Classification runs to 46 pages[17]. Several areas of applied mathematics have merged with related traditions outside of mathematics and become disciplines in their own right, including statistics, operations research, and computer science.

For those who are mathematically inclined, there is often a definite aesthetic aspect to much of mathematics. Many mathematicians talk about the elegance of mathematics, its intrinsic aesthetics and inner beauty. Simplicity and generality are valued. There is beauty in a simple and elegant proof, such as Euclid's proof that there are infinitely many prime numbers, and in an elegant numerical method that speeds calculation, such as the fast Fourier transform. G. H. Hardy in A Mathematician's Apology expressed the belief that these aesthetic considerations are, in themselves, sufficient to justify the study of pure mathematics.[18] Mathematicians often strive to find proofs of theorems that are particularly elegant, a quest Paul Erdős often referred to as finding proofs from "The Book" in which God had written down his favorite proofs.[19][20] The popularity of recreational mathematics is another sign of the pleasure many find in solving mathematical questions.

Math Magic - Tricks and Methods

Home
How do people do it? How can you multiply by 25 or multiply by 3367 in your head? Here is the answer!!!!

Below you will find a list of PDF files that can help you with all of your mental math needs. Refer to this site regularly for updates and additional files!!! If you want to search the files through html, click on the corresponding link!

Note: If the files are taking too long to view or you would like to download them for future reference, right-click on a link and choose the "Save Target As..." option.

(*Currently 192 PDF Files*)
Basic Memorization....For ALL
Cubes and Higher Powers (html) Fractions, Decimals, and Percents (html)
Square Numbers (html) Order Of Operations (html)
Prime Numbers (html) Roman Numerals (html)
Divisibility Rules (html) Basic Conversions (html)

For The Elementary Level Students
FOIL Method (html) Double And Half Method (html)
Squaring A 2-Digit Number (html) Squaring A Number Ending In 5 (html)
Squaring A Number From 40-49 (html) Squaring A Number From 50-59 (html)
Squaring A Number From 90-99 (html) Multiplying 2 Numbers Whose 1's Digits Add To 10 (html)
Multiply Numbers Less Than 100 (html) Multiply Numbers Greater Than 100 (html)
Multiplying Numbers In The Form: ab + bc (html) Multiplying By 5 (html)
Multiplying By 11 (html) Multiplying By 25 (html)
Multiplying By 50 (html) Multiplying By 101 (html)
Adding And Subtracting Fractions (html) Comparing Fractions (html)
Multiplying Mixed Numbers (#1) (html) Adding Sequences In The Form: 1+2+...+n (html)
Adding Sequences In The Form: 1+3+...+2n-1 (html) Percents (html)
GCD (html) LCM (html)
Definitions (html) Ratios (html)
Square Roots (html) Subtracting Reverses (html)
Approximating Series (html)

For The Junior High Or Middle School Student
Squaring A Number Ending In 6 (html) Squaring A Number Ending In 7 (html)
Squaring A Number Ending In 8 (html) Squaring A Number Ending In 9 (html)
Difference Of 2 Squares (html) Multiplying 2 Numbers Ending In 5 (html)
Multiplying 2 Numbers Whose 10's Digits Add To 10 (html) Adding Squared Numbers In The Form: a2+(2a)2 (html)
Adding Squared Numbers In The Form: a2+(3a)2 (html) Adding Squared Numbers In The Form: a2+(7a)2 (html)
Adding Squared Numbers In The Form: a2+(10a)2 (html) Multiplying Numbers Less Than 1000 (html)
Multiplying Numbers Greater Than 1000 (html) Multiplying 4 Consecutive Integers (html)
Multiplying By 12-19 (html) Multiplying By 15 (html)
Multiplying By 75 (html) Multiplying By 111 (html)
Multiplying By 125 (html) Multiplying By 143 (html)
Multiplying By 167 (html) Multiplying By 375 (html)
Multiplying By 625 (html) Multiplying By 875 (html)
Multiplying By 1001 (html) Multiplying By 1111 (html)
Adding a/b + b/a (html) Multiplying a x a/b (html)
Multiplying Mixed Numbers (#2) (html) Adding 3 Fractions (#1) (html)
Adding 3 Fractions (#2) (html) Subtracting 3 Fractions (html)
Calculating Fractions (#1) (html) Calculating Fractions (#2) (html)
Repeating Decimals (#1) (html) Repeating Decimals (#2) (html)
Adding Finite Geometric Sequence (html) Changing Base b to Base 10 (html)
Changing Base 10 to Base b (html) Changing Base 2 to Base 4 (html)
Changing Base 2 to Base 8 (html) Changing Base 3 to Base 9 (html)
Adding 2 Bases Together (html) Finding The Next Term Of A Sequence (html)
Cube Roots (html) Multiplying By 9 (#1) (html)
Multiplying By 9 (#2) (html) Multiplying By 8 (html)
Polynomials (html) Positive Integral Divisors (html)
Sum Of Positive Integral Divisors (html) Relatively Prime (html)
Triangular Numbers (html) Finding Remainders (html)
Dividing By 40 (html) Dividing By 25 (html)
Dividing By 9 (html) Approximating Square Roots (html)
Approximating Cube Roots (html) Approximating Multiplying 2 Numbers (html)
Approximating Dividing By Specific Numbers (html) Approximating Multiplying 3 Numbers (html)
Approximating Multiplying By Specific Numbers (html) Approximating Higher Powers (html)
Factorials (html) Squares/Rectangles (html)
Circles (html) Triangles (html)
Parallelograms (html) Trapezoids (html)
Cubes (html) Spheres (html)
Rectangular Solids (html) Cylinders (html)
Multiply 2 Nums One's Add To 5 (html) Multiply 2 Nums With Same Ten's (html)
Multiply 1 Num Above And Below 100 (html)

For The High School Aged Students (Advanced Level)
Adding 2 Squared Numbers (html) Multiplying By 286 (html)
Multiplying By 429 (html) Multiplying By 572 (html)
Multiplying By 715 (html) Multiplying By 858 (html)
Multiplying By 3367 (html) Multiplying By 14443 (html)
Multiplying By 101101 (html) Multiplying By 142857 (html)
Changing Base b to Base 10 Fraction/Decimal (html) Changing Base 10 to Base b Fraction/Decimal (html)
Multiplying 2 Bases (html) Adding Sequences In The Form: 12+22+...+n2 (html)
Adding Sequences In The Form: 13+23+...+n3 (html) Adding A Sequence In The Form: 1/a+1/a2+...+1/an (html)
Adding Sequences In The Form: a + a/b + a/b2 + ... (html) Finding The nth Term Of A Sequence (html)
Pentagonal Numbers (html) Hexagonal Numbers (html)
Heptagonal Numbers (html) Octagonal Numbers (html)
Manipulating Polygonal Numbers (html) Approximating en (html)
Approximating pn (html) Changing Probability To Odds (html)
Permutations (html) Combinations (html)
Probability With Coins (html) Probability With Dice (html)
Probability With Cards (html) Probability With Balls (html)
Arranging Committees (html) Arranging Objects (html)
Words/Numbers (html) Binomial Expansions (html)
Basic Trig Memorizations (html) Trig Definitions (html)
Convert Radians -> Degrees (html) Pythagorean Triples (html)
Inscribed Circles (html) Circumscribed Circles (html)
Ellipses (html) Determining Regions In A Plane (html)
Distinct Diagonals Of A Polygon (html) Interior/Exterior Angles Of A Polygon (html)
Determining Values For Triangles (html) Polyhedrons (html)
Distance Between 2 Points (html) Slope Of A Line Through 2 Points (html)
Solving For 2 Variables (html) Imaginary Numbers (html)
Matrices (html) Compound Functions (html)
Inverse Functions (html) Parabolas (html)
Modular Math (html) Vectors (html)
Polar And Rectangular Coordinates (html) Asymptotes (html)
Limits (html) Logs (html)
Derivatives (html) Integrals (html)
Maximum/Minimum Values (html) Repeating Decimals #3 (html)
Add 3 Fractions #3 (html) Adding Consecutive Squares (html)
Squaring 101a, 102a, 103a (html) Adding: a2 + b2 - (a-b)2 (html)
Finding Remainder In Bases (html) Adding: 13 - 23 + 33 - ...+ n3 (html)
Adding A Sequence In The Form: 1/a-1/a2-...-1/an (html) Adding: n(n!) + (n-1)(n-1)! +...+ 1(1!) (html)
Dividing Factorial #1 (html) Dividing Factorial #2 (html)
Solving: a2 - b2 = a3 (html)

Math or Magic

As someone once said: 'There's an easy way to do something, and an unlimited number of difficult ways'.


Take simple division, for example:


Suppose you need to divide 43 by 9.


The answer is 4 (the first figure of 43) and the remainder is 7 (4 + 3).


Similarly 35 divided by 9 is 3 remainder 8.


In the Vedic system we use the natural properties of numbers.


The number 9 has the property that it is 1 below 10. So every 10 contains one 9 and one remainder.


Therefore, in 40, there will be 4 nines and 4 remainder. and so in 43 there must be 4 nines and 7 remainder.


This can be developed in many ways. For example to divide 123 by 9 the answer is 13 remainder 6.


The first figure of the answer (1 in the 13) is the first figure of 123.
The second figure of the answer (3 in the 13) is 1+2 (add the first two figures of 123).
The remainder is 6 is 1+2+3 (add all three figures of 123).


As B. K. Tirthaji (the man who reconstructed the Vedic system) said: 'its magic until you understand it, and its mathematics thereafter'

Fantastic Math Trick

Multiply Up to 20X20 In Your Head

In just FIVE minutes you should learn to quickly multiply up to 20x20 in your head. With this trick, you will be able to multiply any two numbers from 11 to 19 in your head quickly, without the use of a calculator.

I will assume that you know your multiplication table reasonably well up to 10x10.

Try this:

Take 15 x 13 for an example.
Always place the larger number of the two on top in your mind.
Then draw the shape of Africa mentally so it covers the 15 and the 3 from the 13 below. Those covered numbers are all you need.
First add 15 + 3 = 18
Add a zero behind it (multiply by 10) to get 180.
Multiply the covered lower 3 x the single digit above it the "5" (3x5= 15)
Add 180 + 15 = 195.