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Sunday, 12 May 2013
Friday, 10 May 2013
Addition Games For Children
Math Games Add Up To Fun
Got Addition Games for Children? How about some fun Magic Addition Circles. The kiddos will enjoy this addition activity and build their addition and logical thinking skills at the same time!
See the magic circle to the right. Thethree numbers on each straight line add up to the same sum - 10. Pretty Cool huh!
Why Use Magic Circles
- Kids have fun with them
- They help kids Build Addition skills
- They help kids Build Critical Thinking Skills
- They can be tailored to each student's Skill Level
Make up your own. Then let your students figure out the missing numbers. You know what level your students are at, right - so you can create the magic circles to cater to what each student needs.
Let students make up their own. What I've found that really works well with kids is when they take part in making up problems or puzzles themselves. It helps their thinking process.
Magic circles can be as easy or as difficult as you need. Check this one on the left out - Each straight line adds up to 38.
I'm going to add some more magic circle ideas for addition in next couple of days, so come on back!
If you have any favorite addition games you think children would enjoy feel free to share with our visitors. Just go to the contact us link on the left and explain your game. We will review it and if appropriate put it on our contributors page and acknowledge you as well. Thanks.
World's Most Hardest Maths Problems
What is the Most Difficult Math Problem in the World?
There are two maths problems in the world that have received a lot of recognition and attention because they have remained unsolved for several years. While Riemann's Hypothesis still remains unsolved, Fermat's theorem which is one of the hardest math problems in the world, was solved only in 1995. Though difficult to understand, we will try and explain these two problems in the next section.
Riemann's Hypothesis
Put forward by Bernhard Riemann in 1859, the Riemann's Hypothesis is widely considered the most difficult math problem in the world. Riemann took forward the Euler's zeta function to all complex numbers barring s =1. On studying this further, Riemann realized that the zeta function had trivial zeros at -2, -4, -6, etc. and all non-trivial zeros were symmetric where the line Re(s) = ½. This led him to put forward the hypothesis that all non-trivial zeros are on the line Re(s) = ½. The Riemann hypothesis is stated as below.
The real part of any non-trivial zero of the Riemann zeta function is ½, and thus, the non-trivial zeros should lie on the critical line, ½ + it where i is an imaginary unit and it is a real number.
Fermat's Theorem
Fermat's theorem or Fermat's Last Theorem as it is known, was put forward by Pierre de Fermat in 1637. After several years of many mathematicians, trying to prove the theorem, it was solved after more than three hundred years in 1995. Fermat's theorem is stated as below.
No three positive integers a, b, and c can prove the equation an + bn = cn, for any integer n, whose value is greater than 2.
While this theorem was proved for the integer case n=4 before Fermat's theorem was proposed, over the next two hundred years, the theorem was proven for the prime numbers 3, 5, and 7. The theorem was over the years proved for all prime numbers less than 100 and for regular primes. It was in 1984 that Gerhard Frey proposed that the theorem could be proved using the modularity conjecture. Andrew Wiles successfully proved the Fermat's Last Theorem in 1995, with the assistance of Richard Taylor.
Fermat's Last Theorem was published only after his death, as when he was alive, Fermat, an amateur mathematician refused to publish any of his work. In fact, the theorem was scrawled on the margins of one of his books and found later by his son. Along with the yet unproven Riemann's hypothesis, Fermat's last theorem is without doubt the hardest math problem in the world.
Both these theorems have achieved cult popularity in mathematical circles, seeping into popular culture with mentions in bestselling books like the Millennium Trilogy by Steig Larrson and series like Simpsons, Numb3rs, and Law and Order. So what if mere mortals like us cannot harbor any hopes of solving the hardest mathematics problem in the world, we can at least look intelligent while mentions are made. Like Bertrand Russel once said, "Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true."
There are two maths problems in the world that have received a lot of recognition and attention because they have remained unsolved for several years. While Riemann's Hypothesis still remains unsolved, Fermat's theorem which is one of the hardest math problems in the world, was solved only in 1995. Though difficult to understand, we will try and explain these two problems in the next section.
Riemann's Hypothesis
Put forward by Bernhard Riemann in 1859, the Riemann's Hypothesis is widely considered the most difficult math problem in the world. Riemann took forward the Euler's zeta function to all complex numbers barring s =1. On studying this further, Riemann realized that the zeta function had trivial zeros at -2, -4, -6, etc. and all non-trivial zeros were symmetric where the line Re(s) = ½. This led him to put forward the hypothesis that all non-trivial zeros are on the line Re(s) = ½. The Riemann hypothesis is stated as below.
The real part of any non-trivial zero of the Riemann zeta function is ½, and thus, the non-trivial zeros should lie on the critical line, ½ + it where i is an imaginary unit and it is a real number.
Fermat's Theorem
Fermat's theorem or Fermat's Last Theorem as it is known, was put forward by Pierre de Fermat in 1637. After several years of many mathematicians, trying to prove the theorem, it was solved after more than three hundred years in 1995. Fermat's theorem is stated as below.
No three positive integers a, b, and c can prove the equation an + bn = cn, for any integer n, whose value is greater than 2.
While this theorem was proved for the integer case n=4 before Fermat's theorem was proposed, over the next two hundred years, the theorem was proven for the prime numbers 3, 5, and 7. The theorem was over the years proved for all prime numbers less than 100 and for regular primes. It was in 1984 that Gerhard Frey proposed that the theorem could be proved using the modularity conjecture. Andrew Wiles successfully proved the Fermat's Last Theorem in 1995, with the assistance of Richard Taylor.
Fermat's Last Theorem was published only after his death, as when he was alive, Fermat, an amateur mathematician refused to publish any of his work. In fact, the theorem was scrawled on the margins of one of his books and found later by his son. Along with the yet unproven Riemann's hypothesis, Fermat's last theorem is without doubt the hardest math problem in the world.
Both these theorems have achieved cult popularity in mathematical circles, seeping into popular culture with mentions in bestselling books like the Millennium Trilogy by Steig Larrson and series like Simpsons, Numb3rs, and Law and Order. So what if mere mortals like us cannot harbor any hopes of solving the hardest mathematics problem in the world, we can at least look intelligent while mentions are made. Like Bertrand Russel once said, "Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true."
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