Posterous theme by Cory Watilo

Filed under: math

Today is pi day

Amazing!

via kottke.org by Jason Kottke on 3/14/11

And in celebration, this is my new favorite fact about pi: we have calculated pi out to over 6.4 billion digits but only 39 of them are needed to calculate the circumference of a circle as big as the universe "with a precision comparable to the radius of a hydrogen atom". (via @santheo)

Tags: mathematics   pi

The White House and Makers

"After all, we wouldn't teach kids how to play football by lecturing to them about football for years and years before allowing them to play. And if education is about the 'lighting of a flame not the filling of a pail' -- we should be putting the tools of discovery, invention and fabrication at the finger tips of every child -- inside and outside of the classroom." ( Thomas Kalil of the White House Office of Science and Technology Policy)

From an interview with Dale Dougherty of O'Reilly Media, in which Mr. Kahill talks about President Obama's support for hands-on science, mathematics, and engineering educational experiences like those provided by Truman State University. I say, let's take what we do to another level. Who's with me?

Zakaria's "Restoring the American Dream"

This weekend, while I was playing hookey from Church, I stumbled upon this program on Fareed Zakaria's GPS, on CNN. It was a program titled "Restoring the American Dream" and it talks about what America needs to do get back on track to be the world's greatest economic powerhouse.

http://rss.cnn.com/~r/services/podcasting/fareedzakaria/rss/~3/-EpSlZG9tW8/gp...
I liked this program so much I made the students in my Senior Seminar (for mathematics majors) sit through it. I hope it gave them a sense for the ideas in Zakaria's The Post-American World and Thomas Friedman's The World is Flat. it also suggested that Seth Godin's Linchpin could be useful for those who are about to graduate from college.

eBook reading and writing, continued

My quest for find ways to create rich mutli-media eBooks continues. As of today, I have not found any interesting authoring tools that are based on open-standards like the ePUB format. Several videos of prototypes for content delivery are floating around the interwebs, some of which I relays in a previous post here (see UPDATED: Popular Science's Magazine of the Future. Is this the Textbook of the Future, too?).

Read the rest of this post »

STEM Podcasts: Game Theory and its Social Importance

Gametheory_small
 In my quest for podcasts that would be of interest to STEM students, I've run across this fourteen minute beauty. Simon Singh in his BBC program Another Five Numbers talks about the mathematical theory of games in a very understandable and pleasant fashion. In this program we learn about zero-sum games, John Nash and his Nash equilibrium, John von Neumann, and how this type of mathematics is used in finance.

Take a listen.

Game Theory on Huffduffer

If you are intrigued by this, you might also like these general audience books on the topic:

Here you can find Simon Singh's 5 Numbers program on the BBC. Here is a link to his Another 5 Numbers.

If you know of other interesting books, web pages, magazine articles that touch on this topic and would be appealing to a college-bound student, let me know in the comments!

Hey, Look ... There's a Museum of Mathematics!

Just discovered this place, the Museum of Mathematics, via Make Magazine. I don't know much about it, and the web page doesn't have much detailed information on its exhibits, but from what I can see it seems pretty cool.

The Museum of Mathematics is contributing a "Math Monday" entry to the Make Magazine blog that looks like its worth a follow, too.

(download)

The Theme of the 2010 Math Awareness Month is ...

This morning, I saw a tweet that drew my attention to the Mathematical Association of America's web page for the 2010 Math Awareness Month, [here].    The month is sponsored by the Joint Policy Board for Mathematics

The theme is Mathematics and Sports!  The site, linked above, has links to lots of related resources.  Take a look at the 'Themed Essays' for reading materials on the MAM topic, including an article by the sabermetric's guru, Jim Alberts!    

There is also a link to a series of linking icons (a.k.a. badges) that you can put on your site to draw visitors to the MAM pages.  I've included a couple examples in the image gallery, below.  The first four images in the gallery are those of posters that you can download in PDF format or request to be mailed to you.

Link away, everyone!  help contribute the public's greater understand of and appreciation for the importance and relevance mathematics has to our day to day living.  It's true that few people actively use mathematics in a day-to-day way, but those that do tend to contribute to our higher standard of living and our longevity.  Spread the word.  And have fun doing it!

Mathematics and Sports, the 2010 theme for April, the national Mathematics Awareness Month!

(For those who are interested, the the Joint Policy Board for Mathematics is a collaborative effort of the American Mathematical Society, the American Statistical Association, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics.  The way these professional societies interact unites the American mathematical community in a way that is a model for other STEM professional societies.)

(download)

America needs more Scientists and Mathematicians. But are we STEM-folks hurting our cause?

This post is inspired by the overblown and overhyped forecasts of American major media (and government) meteorologists. their recommendations regarding severe weather and dangerous travel have always seemed hyperbolic to me. Then, when I read the Discovery.com blog post here, I felt one of my buttons pushed, and I had to express this exasperation somewhere. Here's the quote from the post that set me off:

I certainly hope that no one will be killed or injured from this, but I also know that there will always be people who don’t heed the warnings. If only more people understood that science works, and that geologists and volcanologists know their stuff. They devote their lives to this field, and their study of the Earth and its paroxysms may save the lives of others.

When I read this, I certainly empathized with the author and could project sympathy and concern for the residents of Legzapi, Philipines whose lives were threatened by the volcano, Mayon. However, the text is a nice example of a rhetorical flourish aimed at the non-scientific populace that, in the long term, contributes to the widening of the divide between those who appreciate the contributions of science to society and those who are frustrated by the empty day-to-day promises made by science to America.

This idea that "there will always be people who don’t heed the warnings" of scientists who "know their stuff" about predicting natural disasters concerns me. Surely, the geologists and volcanologists who are monitoring Mayon are making their recommendations regarding evaluation and so forth with the best possible intentions. But let's look to meterologists in the United States as examples of scientists who "know their stuff" and who make recommendations to the general populace through local and national media. Are they scientists who make their recommendations on the basis of cutting-edge technology and data-based decision making? Do they make measured and reasonable recommendations on the nightly and 24/7 channels?

If we could do a better job of making science relevant and beneficial to the day-to-day American, maybe we could encourage more young people to pursue educational and career paths toward science and mathematics. And this is what America needs -- the new economic and philosophical patriotism is a devotion to the study and implementation of skill and talent in science, technology, engineering, and mathematics (STEM). But we won't be able to turn the hearts of America in this direction without helping them to understand its benefits and how it can positively impact peoples' day-to-day living.

This short post (a rant, really), can't do this issue justice. It's just SOOO big. But the article that inspired this reveals a slice of what's wrong with the American perception of STEM and how it serves (or fails to communicate truthfully and effectively) society and its needs.

Listen To It! Podcast for STEM Students - RadioLab: Numbers

In college, I had eclectic interests. That must be why I went to a liberal arts institution, eh? For some reason, human cognition interested me, though I wasn't able to articulate it in that way at the time. From time to time, I'd pick up a Psychology Today at the library and thumb through its pages. Once, I ran across an article about mathematics and the mind. As a mathematics major, this article had great appeal to me. The thesis of the article was that mathematical thinking was not entirely natural, that it was learned, sometime with much effort. I remember xeroxing that article and filing it away.

In my first semester as a graduate student at the University of North Carolina (Go Heels!), I was given the responsibility for teaching a course on trigonometry. I was pursuing a Ph.D. to become a college math prof like my heros Paul Humke and Ted Vessey, so I welcomed the teaching assignment. At one point during the course, I remember pulling out the xerox of that article from Psychology Today and sharing it with my students. My point in doing so was to let them know that they should not let their struggles with course materials get them down. Their struggle is natural. Psychologists says so.

My students responded very positively to that. In retrospect, they might have decided to use that article to rationalize their mediocre performance in my course. But I remember them being more engaged in the material. Putting more effort into the course after we talked about that old black-and-white article.

This is what I thought of when I began listening to NYC RadioLab's recent podcast (a.k.a. essay), Numbers.

The hosts, Robert and Jad (whose aversion to numbers, throughout the show, makes me a bit sad), begin by talking about how people are learning to understand how young children grow into a number sense. What are we born with? (Something, definitely?) What must we learn? (Hint, it begins with the number '3'.) How do we learn it? (Hint, it involves a leap of faith by the kid.) The mathematical sense of a young child and the mathematical sense of an older person are very different, they occur in different parts of the brain. Wow! And the show moves on, quickly encountering logarithms, of all things.

The essay moves on through other topics, too. There's the mind-blowing idea of Beford's Law, the idea that there are more numbers that begin with low first digits than numbers that begin with high first digits. Sound crazy? Listen to the essay. You'll also learn from Paul Hoffman, the author of "The Man Who Loved Only Numbers", about the twentieth century's most interesting mathematician: Paul Erdos. This part of the story will also give listeners a glimpse into the living, human, and cultural nature of the mathematics profession.

The essay/podcast concludes with a story that builds on the human aspect of mathematics by telling part of the story of the relationship between mathematician Steven Strogatz and his high school mathematics teacher, Don Joffray. That story is told is greater detail, though without the flourishes of RadioLab, by Strogatz in his book, "The Calculus of Friendship."

RadioLab's essays are always entertaining and informative. In this mathematical essay, they create an engaging story that relates interesting and provocative factoids from human cognition and mathematical culture. I'm not sure that the program helps people understand how mathematics is connected to other human endeavors (e.g., the other sciences). While Jad's negative attitude toward mathematics throughout provide something of a foil for co-host Robert, it also seems to pander to America's culturally endorsed bad attitude toward mathematics. Not helpful, Jad, but maybe you make this essay accessible to lots of people who wouldn't otherwise be interested in enjoying it.