The reason as to why so many people are so fascinated by a Sudoku puzzle is that, even though the solving rules are simple, the reasoning behind the path to the correct solution can be very difficult, which is what will be explored in this paper.
Many teachers, no matter what age range they are teaching, recommend Sudoku as a great way to develop logical reasoning. The complexity of each puzzle can be adapted to fit any age. This is why I want to explore and investigate what is the concept behind solving the puzzles that makes it so fascinating and addictive.
Introduction
Sudoku has been most famously been called the Rubik’s Cube of the 21st Century. Sudoku is a popular and addictive game puzzle that is currently taking many parts of the world by storm.
The fundamental origins of Sudoku lie within the work of the great 17th century Swiss mathematician Leonard Euler who, in 1783, reported on the idea of ‘Latin Squares’: grids of equal dimensions in which every symbol occurs exactly once in every row and every column.
The Sudoku puzzle first appeared in an American puzzle magazine under the name ‘Number Place’. Later, the game also appeared in Japanese puzzle magazines where it took its present name ‘Sudoku’. At present in Japan there are five Sudoku magazines that are published every month, with a total spread of over 600,000. Sudoku puzzles are now found in newspapers all over the world. This is exactly one reason why it makes me want to explore the mathematical concepts related to Sudoku. People from all around the world use different methods to solve a Sudoku and this piece of work would include primary data of different people solving it through different logical reasoning.
How to solve Sudoku
A Sudoku puzzle ...
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... of the cells.
It is then that some solvers resort to “trial and error”, i.e., they make a presumption as to the contents of an uncertain cell, and then work out the implications for the remaining cells.
If the guess is wrong, an invalid grid will be produced, and the solver must return to the earlier state and make a different guess and in this way it is very time consuming.
Which is why I would like to conclude saying that the algebraic and mathematical approach could provide a linear system of equations in several variables of Sudoku puzzles that could be solved simultaneously to achieve the single solution directly, assuming there is a sole solution
Works Cited
http://www.pennydellpuzzles.com/upload/documents/How%20to%20Solve%20Sudoku.pdf
http://sudokusource.mabuhaynet.com/sudoku.pdf
http://www.inf.utfsm.cl/~mcriff/Tesistas/Games/sudoku.pdf
It will also be important for us to learn how we can restate other people’s super crunching results in terms which make intuitive sense within our organization. To be competent in number crunching, we need to feel comfortable about using two quantitative tools: 2SD Rule and Bayes Theorem.
When the history of American Indians come into mind, our minds tend to ponder on teepees, dances around the fire, feathers, and the stereotypical Pocahontas-like features of American Indians. As a matter of fact, American Indians have very rich history. They occupied this land before anyone else did. They are the original people of the United States. In order to survive on this unknown land to the world back then, they must have had to use some mathematics in some way, shape, or form. We will see in this paper that many of the mathematical uses among the
Prekindergarten instructional games and activities can be used to increase the students understanding of number invariance. Using dice games, rectangular arrays, and number puzzles would be an effective method of presenting subitizing to this grade level. In addition to visual pattern, these young students would benefit from auditory and kinesthetic patterns as well.
Problem solving is the process of following a series of steps to obtain the solution
The 24 game is a mathematical card game which originated from China in the 1960s and popularized in China and America later. It is a game which required its players to make fast calculations, and it can be competitive. After years of spreading and development, the game has derived into a lot of different rules. In this research paper, the topic is mainly focused on the original rule.
Repeat this process until the difference between the next guess and the current is within the accepted level of accuracy. The better your guess, the fewer the number of iterations needed to get the square root. A good first guess is typically half the number whose square root is to be calculated. The process is ten repeated until the desired accuracy is achieved.
time of thinking of how to have solution by observing the problems. The problem that we’re trying to
locate the information that is required for an given problem. They also found that the
Solving problems is a particular art, like swimming, or skiing, or playing the piano: you can learn it only by imitation and practice…if you wish to learn swimming you have to go in the water, and if you wish to become a problem solver you have to solve problems. -Mathematical Discovery
When a paper is designated to a student and the topic is identified as ‘problem solving’, the immediate reaction is generally, “Oh no, how does one even go about this?”. Followed by massive amounts of brain overload and quite possibly one monster of a headache. A novice to the subject may be ecstatic to find that the amounts of information available are truly copious and exciting.
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Burton, D. (2011). The History of Mathematics: An Introduction. (Seventh Ed.) New York, NY. McGraw-Hill Companies, Inc.
The history of math has become an important study, from ancient to modern times it has been fundamental to advances in science, engineering, and philosophy. Mathematics started with counting. In Babylonia mathematics developed from 2000B.C. A place value notation system had evolved over a lengthy time with a number base of 60. Number problems were studied from at least 1700B.C. Systems of linear equations were studied in the context of solving number problems.
As mathematics has progressed, more and more relationships have ... ... middle of paper ... ... that fit those rules, which includes inventing additional rules and finding new connections between old rules. In conclusion, the nature of mathematics is very unique and as we have seen in can we applied everywhere in world. For example how do our street light work with mathematical instructions? Our daily life is full of mathematics, which also has many connections to nature.