How KenKen Puzzles can Help You Learn Math

 

KenKen is the hottest puzzle craze since Sudoku. It combines the logic of a Sudoku puzzle with arithmetic. You have to add, subtract, multiply and divide to arrive at the numbers given in KenKen puzzle. 

In KenKen, like Sudoku, there is a grid of 4×4, 6×6, 8×8, or 9×9 cells. That means the grid has 16, 36, 64 or 81 cells. The puzzle can actually be even larger, but those are for really advanced solvers. In both kinds of puzzles, you must have all the digits in one row. In other words, if a row has 4 cells, like in a 16-grid puzzle, you must use the numbers 1-4 in each row, and in each column. No digit may be left out of row or column, nor may there be duplicates in a row or a column. 

So far, that’s totally easy to understand. If you look at a puzzle, you can see what I mean in a second. 

The diabolical cleverness of KenKen, which sets it apart from Sudoku, is that:

• some adjacent groups of cells have a thick border around them. Those groups are called “cages.” Each cage has a number printed in it, along with an operation sign. 

• The cells within that cage must be filled with the digits that will amount to the number given. Let’s say the cage has two cells surrounded by a thick border, the number in it is 6, and the operation sign is multiplication (x). That tells you that you must find two numbers that multiply to 6.

 You may be tempted to say, “That’s easy. The answer is 2 x 3!” But don’t jump to conclusions! The answer could just as well be 6 x 1. Furthermore, you don’t immediately know which of the two cells the 2, 3, 6 or 1 belong in. You have to find that out from looking at the other cages and narrowing down your possibilities. 

It takes about two minutes to learn how to do KenKen, but it can take years to master. There’s something for all levels of solvers. 

Good math teachers will look into this puzzle and learn some strategy, then introduce the puzzles to their students. There are very inexpensive books of KenKen, as well as online sites where you can download free puzzles. One of them is http://kenken.com

Once you understand how KenKen really works, you will start learning all about factoring, exponents, and mathematical logic. You won’t need a workbook, and there are no grades (if the teacher is smart). The only stress is the gentle strain on your brain, and you’ll be developing that brain with every KenKen puzzle you solve. 

It’s easy to get good at KenKen with some practice. The nice thing about the practice is that you won’t be able to stop. KenKen is the most addictive puzzle around!

Imagine a student being able to hone his or her basic math skills without worksheets, flash cards, charts, rote-memorization, or quizzes. Imagine that student loving math like never before!

KenKen was invented by Tetsuya Miyamoto, a Japanese math teacher who says, “I believe that if you give children good learning materials, they will think and learn and grow on their own.” If you teach yourself, your child or your students basic math with KenKen, they will develop a lifelong love of mathematics, and you will have done them a wonderful favor. 

For free KenKen video lessons, all the way to the very advanced level, check out http://mathmojo.com/kenken

 

 

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Sudoku: A Brief History

Ancient civilization is known for its creativity and intelligence. They also have different forms of entertainment. Unlike today, people are dependent on the benefit of modern technology. In every corner you will see inventions such as radios and televisions. This is how people today make use of their spare time.

Sometimes, people also get bored with modern technology and turn to their mind and formulate their own brain twister in a form of riddles. This is how people explore their way of thinking and also their creativity. People naturally love activities that could twist their mind and form new ideas.

History speaks that some of the recent games that mankind have today are based on the ideas of early people, although with some innovations applied. Sudoku is one of the games that have existed since the ancient times. Perhaps this is the first time that you heard about the term. You might ask yourself what Sudoku is all about and where it originated.

The other name for Sudoku is number place. As you might think, it was derived from the Japanese language. This refers to a logic based placement. In other words, this is a type of puzzle game. It was published first in one of the magazines in United States in the year 1979 then followed in Japan until it gained its popularity.

If you are going to translate the name Sudoku into English phrase, it mans that “the digits must remain single”. It gathered various manners of pronunciation in different countries. Nevertheless, whatever the articulation is, the standards set on the games are never altered.

According to the people who discovered Sudoku, the puzzle enhances your critical thinking. It makes you utilize arithmetic relationship between numbers that are not relevant with each other. There are also basic rules that are set for you to play Sudoku puzzle.

You are probably getting interested with Sudoku as you read this article. Well, to cut your interest first, you should first know the story behind the game. When was it introduced?

During his late 70’s, Howard Garns anonymously designed the puzzle Sudoku. He was known to be a retired architect and indeed a freelance puzzle constructor. Obviously, he has ideas on how to create the tricks of a puzzle because it has been a profession for him for quite long time.

He deduced his idea from that of the Latin Square designed by Euler. Thus, he just placed some additional alteration to the game which he called the third dimension. He also provides the player with a partially-completed grid that will require the solver to complete the rest of the blank grids.

However, after Garns was able to develop it and introduce it in the US magazine, it was captured again in Japan by a person name Nikoli. That was the time that Maiki, President of Nikoli Sudoku was named because during the time of Garns he also has his own English translation.

Before, the game is played manually when it started to get published in the newspaper of Japan and United States. It was in the year 1989 when a computer version of Sudoku was made available for the users under the Loadstar Publishing followed by the Apple Macintosh. In the year 2005, it totally came at its peak of popularity.

Behind the popularity of the Sudoku puzzle is the acknowledgment to Rubik’s cube. This is another puzzle game that was popular during the year 1980. In fact, some of the attributes of Sudoku was also patterned from Rubik’s puzzle.

In the year 1997, the popularity of Sudoku in the media was overwhelming. Even the Hong Kong judge named Wayne Gould also became inclined to the game up to the point that he also developed his own version of the computerized version of Sudoku.

Nationwide, there was a press release that was published regularly in Japan that took the newspaper to sell the prints very quickly. It even reached the world media and was acknowledged as the “fastest growing puzzle in the world”.

There is no doubt that until now, the history of Sudoku remains in the thoughts of people. They owe much gratitude to the development and discovery of Sudoku puzzle because without the people behind Sudoku they are not able to enjoy the pleasure that have been brought to them by the puzzle.

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Sudoku The Game – History At A Glance

The game of Sudoku may have originated and perfected in Japan, but it has truly become global with the growing popularity of the simple to difficult levels of puzzle solving it offers players of any age, gender and IQ. Though it involves playing and arranging numerals in a unique order, it does not require any specific mathematical skills like addition or subtraction, which many non-players are not aware of. Sudoku is then, a mind-game that calls for logical thinking, reasoning and patience besides sharpening the mental faculties upon being played regularly.

Man in ancient times too had different forms of entertainment much like his modern counterpart and this is why the thrill of Sudoku has encompassed different generations and geographical regions since it affords a simple play with numerals. Of course, being in the age of computerization, there is not much guessing to it that modern technology has also affected the game of Sudoku, because it has done so tremendously. There are different types of gadgets and even websites dedicated to the history, development and variations to Sudoku, including Monster Sudoku (a 5-in-1 game) for its fans.

A real mind-twisting adventure is promised to the players of Sudoku, who get to form new ideas through the various possibilities of the number game where placement of pre-entered numbers and the remaining numerals 1-9 determine the end of the set.

All the numbers to be entered by the player have to be judged based on the pre-entered numbers – the more the pre-entered numbers, the tougher the game as a rule; the game of Sudoku thus, is all about logic based placement.

The history of Sudoku in the United States dates back to 1979 where it slowly gained popularity. Roughly translated, Sudoku in English would mean a game where ‘the digits remain single.’

There are different ways of pronouncing the game’s name, but whatever these be, it is a given fact that the game’s popularity has nothing to do with this – nor the rules.

An arithmetic relationship between numbers needs to be established through critical thinking by the players of Sudoku puzzles and this can only be done with time and patience since these numbers are not related to each other.

When Howard Garns was a septuagenarian, he designed the Sudoku puzzle, but anonymously. Garns was a retired architect and a famed freelance puzzle constructor who had learned a few tricks of creating a puzzle professionally to please his own self, then shared it with others. His inspiration was the Latin square of Euler, which required him to do some more alteration, which he named ‘Third Dimension.’ Players were given half-completed grids that they were required to solve. He gave it to a US publication that also revived interest in the game’s motherland, Japan soon enough when a person named Nikoli took to it.

Soon, the newspapers of both countries printed the game to be played manually and only in 1989 was the computerized version of Sudoku made public to users, courtesy Loadstar Publishing. Apple Macintosh followed suit and 2005 saw the game reach its peak popularity even as it shot past the fan-list of Rubik’s cube solvers, which was popular in the 80’s.

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Sudoku The Game – History At A Glance

The game of Sudoku may have originated and perfected in Japan, but it has truly become global with the growing popularity of the simple to difficult levels of puzzle solving it offers players of any age, gender and IQ. Though it involves playing and arranging numerals in a unique order, it does not require any specific mathematical skills like addition or subtraction, which many non-players are not aware of. Sudoku is then, a mind-game that calls for logical thinking, reasoning and patience besides sharpening the mental faculties upon being played regularly.

Man in ancient times too had different forms of entertainment much like his modern counterpart and this is why the thrill of Sudoku has encompassed different generations and geographical regions since it affords a simple play with numerals. Of course, being in the age of computerization, there is not much guessing to it that modern technology has also affected the game of Sudoku, because it has done so tremendously. There are different types of gadgets and even websites dedicated to the history, development and variations to Sudoku, including Monster Sudoku (a 5-in-1 game) for its fans.

A real mind-twisting adventure is promised to the players of Sudoku, who get to form new ideas through the various possibilities of the number game where placement of pre-entered numbers and the remaining numerals 1-9 determine the end of the set.

All the numbers to be entered by the player have to be judged based on the pre-entered numbers – the more the pre-entered numbers, the tougher the game as a rule; the game of Sudoku thus, is all about logic based placement.

The history of Sudoku in the United States dates back to 1979 where it slowly gained popularity. Roughly translated, Sudoku in English would mean a game where ‘the digits remain single.’

There are different ways of pronouncing the game’s name, but whatever these be, it is a given fact that the game’s popularity has nothing to do with this – nor the rules.

An arithmetic relationship between numbers needs to be established through critical thinking by the players of Sudoku puzzles and this can only be done with time and patience since these numbers are not related to each other.

When Howard Garns was a septuagenarian, he designed the Sudoku puzzle, but anonymously. Garns was a retired architect and a famed freelance puzzle constructor who had learned a few tricks of creating a puzzle professionally to please his own self, then shared it with others. His inspiration was the Latin square of Euler, which required him to do some more alteration, which he named ‘Third Dimension.’ Players were given half-completed grids that they were required to solve. He gave it to a US publication that also revived interest in the game’s motherland, Japan soon enough when a person named Nikoli took to it.

Soon, the newspapers of both countries printed the game to be played manually and only in 1989 was the computerized version of Sudoku made public to users, courtesy Loadstar Publishing. Apple Macintosh followed suit and 2005 saw the game reach its peak popularity even as it shot past the fan-list of Rubik’s cube solvers, which was popular in the 80’s.

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KenKen Puzzles – The New Sudoku

 

You many have just heard of KenKen. It’s the invention of a Japanese math teacher named Tetsuya Miyamoto, who says, “I believe that if you give children good learning materials, they will think and learn and grow on their own.”  Imagine that! 

You many have just heard of KenKen. It’s the invention of a Japanese math teacher named Tetsuya Miyamoto, who says, “I believe that if you give children good learning materials, they will think and learn and grow on their own.”  Imagine that! 

KenKen is a brilliant puzzle which takes the logic of a sudoku puzzle, and adds the use of basic arithmetic to make KenKen a truly fascinating challenge on many levels. 

But you don’t have to be a math whiz to play KenKen. The rules are truly easy to learn. A typical grid has 16 squares, with four rows and four columns. Just as in sudoku, you must use the digits from one to four in each row and in each column. You cannot repeat a digit in a row or column. 

KenKen has the additional trait that some groups of squares are bounded together by a bold border. Within those squares is a number, say 6, and a mathematical operation sign, say a plus (+) sign. That simply means that the digits in those squares must add up to the number 6. 

If you’d had the number 15 with a multiplication (x)sign next to it in two squares bordered in bold, you’d know that the digits that go in those squares must multiply to 15. 

Simple enough? Yes, it is – even a second grader can start doing KenKen puzzles. That’s how easy it is to begin.  But the level of play can get tougher – much tougher. 

KenKen can be played on grids of 6×6 squares, or 8×8, or even 9×9 squares. 

Filling in the 81 cells of a 9×9 grid can take hours, or days. Or more! Once you start though, you’ll find the time to do KenKen. You won’t be able to stop! Your mind will learn so much logic and arithmetic, without you even noticing. 

KenKen is possibly the best brain exercise you ever may try. That’s why you owe it to yourself to check it out. If you are a parent or a teacher, KenKen can become the greatest tool in your educational toolkit to get your child or students interested in math. 

KenKen doesn’t feel like math at all – it’s just pure fun

You can get free, downloadable KenKen puzzles at http://kenken.com. For free KenKen video lessons, all the way to the very advanced level, check out http://mathmojo.com/kenken”

 

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