Posted in Beautiful math, Simple math, Uncategorized by: admin

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28 Jun

TweetThe identity although simple, is rather surprising. It could be verified by raising the right-hand side to the power of 3: One way of accidently running into this identity is by means of Cardano's cubic formula applied to the third degree equation The formula will produce terms that include cubic roots. On the other hand, […]

Posted in Curiosity, Math in news, Wisdom to live by by: admin

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27 Jun

TweetIn a recent post I have opined that an engaging book on the follies of gambling well deserves to be included in the classic Extraordinary Popular Delusions and the Madness of Crowds by Charles Mackay, LLD. In fact the latter mentions (p. 425) that gambling was a matter of concern during the third crusade (led […]

Posted in Education reform, Wisdom to live by by: admin

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24 Jun

TweetAs I just mentioned a collection of articles Judgement under uncertainty: Heuristics and biases edited by D. Kahneman et al, I thought that perhaps it would be worth adding a quote or two from the text, especially because some ideas appear to have bearing on what is happening with math education. Here's one from an […]

Posted in Uncategorized by: admin

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24 Jun

TweetI have just finished a review of Joseph Mazur's What's Luck Got to Do with It? As far as gambling is concerned I claim complete innocence. Perhaps this is the reason the book appeared to me as a concise encyclopedia of gambling. The book traces the history of gambling from the prehistoric times to the […]

Posted in Curiosity, Simple math, Uncategorized by: admin

4 Comments

19 Jun

TweetI'll be hosting the next Math teachers at play blog carnival. A blog carnival is a publisher's way of networking. By now, there are hundreds if not thousands of various blog carnivals. Submit your article if the scope of this particular one suits your interests. The dead line for the next issue is July 14, […]

Posted in Simple math by: admin

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18 Jun

Tweet Here's a square inscribed in a circle which in turn is inscribed in a larger square. What is the ratio between the areas of the two circles? Two and a half millennia ago, Socrates already new the answer.

Posted in How children learn, Simple math by: admin

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16 Jun

TweetDenise of the superb blog Let's Play Math has streamlined my online version of Euclid's game. The game provides a playful practice for the divisibility, gcd and some counting. The game (more accurately, the Java applet) has been written more than a decade ago when I just began to learn the Java language. At the […]

Posted in Beautiful math by: admin

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15 Jun

TweetSteve Fisk, 63, passed away on January 31, 2010 after a long battle with leukemia. Fisk earned his PhD from Harvard and accepted a post-doctoral teaching postion at MIT. He moved to Bowdoin College in 1977 where he remained until his death. Many in the mathematics community will remember him through his proof of the […]

Posted in Simple math by: admin

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14 Jun

TweetA nice sangaku was listed by Fukagawa and Pedoe as Problem 1.3.3. Points O1, O2, and O3 are collinear points and the circles O1(r), O2(r), and O3(r) touch each other, the first touching the second and the second the third. The circle O(R) circumscribes the three given circles, touching the first and the third internally. […]

Posted in Simple math by: admin

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11 Jun

TweetHere's a simple problem that I found at the site of St. Ann's school in Brooklyn. The midpoints of the sides of a regular hexagon are joined to form a smaller hexagon. Find the ratio of the areas of the two shapes. One solution has been discovered by the students at the school and posted […]