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Musings on doing and teaching mathematics, book reviews, math problems. Information about my math education business, Cambridge Math Learning.
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If you'd like to follow my blog, click on the Follower button. You have your choice of making yourself known or not. In either case, you can receive all my future posts as I add them. You can unsubscribe at any time. If you think I might want to follow your blog, you can send me an email at peterash3@gmail.com.
Elementary Math Problems
From time to time I will post an elementary mathematics problem which I hope readers may enjoy. "Elementary" to me means that the problem does not require any specialized mathematical knowledge beyond high-school mathematics to solve. Some of these elementary problems will be very simple, others will require a great deal of cleverness. Elementary math problems will be denoted by the letter E followed by the problem number.
I will sometimes post a link to a solution. If I haven't yet posted a link, you may send me your answer and if it is correct I will credit you on the blog. To send answers, please mailto: peterash3@gmail.com.
Thanks,
Peter
I will sometimes post a link to a solution. If I haven't yet posted a link, you may send me your answer and if it is correct I will credit you on the blog. To send answers, please mailto: peterash3@gmail.com.
Thanks,
Peter
Advanced Math Problems
From time to time post problems that are somewhat more advanced than those in the Elementary Math Problems. These problems will require a knowledge of some college-level mathematics, either for their statement or for the solution that I know. Advanced math problems will be denoted by the letter A followed by the problem number.
I will sometimes post a link to a solution. If I haven't yet posted a link, you may send me your answer and if it is correct I will credit you on the blog. To send answers, please mailto: peterash3@gmail.com.
I will sometimes post a link to a solution. If I haven't yet posted a link, you may send me your answer and if it is correct I will credit you on the blog. To send answers, please mailto: peterash3@gmail.com.
Book Reviews
Here are some recent reviews on mathematics, learning theory, education, and related technology:
The Number Sense: How the Mind Creates Mathematics by Stanislaus Dehaene, Oxford University Press 1997
Three Books on the Riemann Hypothesis
The King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry by Siobhan Roberts, Walker and Company, 2006
The Poincare Conjecture: In Search of the Shape of the Universe, Donal O'Shea, Walker & Company, 2007
Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being, George Lakoff and Rafael E. Nunez, Basic Books, 2000.
The Number Sense: How the Mind Creates Mathematics by Stanislaus Dehaene, Oxford University Press 1997
Three Books on the Riemann Hypothesis
The King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry by Siobhan Roberts, Walker and Company, 2006
The Poincare Conjecture: In Search of the Shape of the Universe, Donal O'Shea, Walker & Company, 2007
Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being, George Lakoff and Rafael E. Nunez, Basic Books, 2000.
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1 comment:
I had the good fortunre to take probability 1 with Nobel laureate Robert J Aumann. One of the questions on the final exam was to calculate the expected number of offspring based on an interpretation of "multiply and be fruitful" whereby you stop when you have 2 sons and 2 daughters. This die problem is a very nice exercise in generalizing the principle.
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