John Urschel, Ravens Offensive Lineman, Publishes Math Paper

I absolutely love this article from NPR: http://www.npr.org/blogs/thetwo-way/2015/03/20/394340722/john-urschel-ravens-offensive-lineman-publishes-math-paper?utm_source=facebook.com&utm_medium=social&utm_campaign=npr&utm_term=nprnews&utm_content=20150321

Some highlights:

John Urschel is an offensive lineman for the NFL Baltimore Ravens whose Twitter handle is @MathMeetsFball. He has bachelor’s and master’s degrees in math [from Penn State[, both with a 4.0 grade-point average. And this week he tweeted: “My paper, A Cascadic Multigrid Algorithm for Computing the Fiedler Vector…, has been published in the Journal of Computational Mathematics”

Here’s a link to his article: http://arxiv.org/abs/1412.0565.

Another great quote:

“I have a bright career ahead of me in mathematics. Beyond that, I have the means to make a good living and provide for my family, without playing football. I have no desire to try to accumulate $10 million in the bank; I already have more money in my bank account than I know what to do with. I drive a used hatchback Nissan Versa and live on less than $25k a year. It’s not because I’m frugal or trying to save for some big purchase, it’s because the things I love the most in this world (reading math, doing research, playing chess) are very, very inexpensive.”

Square any number up to 1000 without a calculator

The Mathematical Association of America has an excellent series of 10-minute lectures on various topics in mathematics that are nevertheless accessible to the general public, including gifted elementary school students.  From the YouTube description:

Mathemagician Art Benjamin [professor of mathematics at Harvey Mudd College] demonstrates and explains the mathematics underlying a mental arithmetic technique for quickly squaring numbers.

A veteran teacher turned coach shadows 2 students for 2 days – a sobering lesson learned

Last October, I read the following interesting blog post about a teacher who placed herself in the position of her students for a couple of days: http://grantwiggins.wordpress.com/2014/10/10/a-veteran-teacher-turned-coach-shadows-2-students-for-2-days-a-sobering-lesson-learned/

The lessons learned from this exercise partially explain why I’m an advocate for inquiry-based learning… under the firm presupposition that teaching with this method is an acquired skill, and that this technique can go south in a hurry if it’s not exercised properly.

How Sports Can Help Your Kids Outsmart Everyone Else

Some quotes from the very nice op-ed piece at http://time.com/3510480/sports-math-financial-literacy/:

In her excellent book, Race to the Top, the journalist Elizabeth Green tells a story of a new hamburger that the A&W Restaurant chain introduced to the masses. Weighing 1/3 of a pound, it was meant to compete with McDonald’s quarter-pounder and was priced comparably. But the “Third Pounder” failed miserably. Consultants were mystified until they realized many A&W customers believed that they were paying the same for less meat than they got at McDonald’s. Why? Because four is bigger than three, so wouldn’t ¼ be more than 1/3?…

Just as a game is packed with fractions, probability, equations and even multi-variable calculus if you’re so inclined, so too is it a laboratory for risk assessment, principles of finance and behavioral economics—an emerging field that looks at the effects of psychology and emotion on economic decision-making…

Sports also provide a context for probability. Broadcasters may ask questions hypothetically, but real answers exist. Jones is only a 40% free-throw shooter but he makes both. What are the odds of that?

If only one day a response would come: Well, I’ll tell you, Bob. Forty percent is 4/10. Multiply that twice for the two shots. 4/10 x 4/10 = 16/100 or 16%. Not good odds, but not extraordinarily rare, either.

If nothing else, any kid who’s been to both a hockey game and a basketball game knows the difference between thirds and quarters, and, in turn, would have picked the right burger.

Student t distribution

One of my favorite anecdotes that I share with my statistics students is why the Student t distribution is called the t distribution and not the Gosset distribution.

From Wikipedia:

In the English-language literature it takes its name from William Sealy Gosset’s 1908 paper in Biometrika under the pseudonym “Student”. Gosset worked at the Guinness Brewery in Dublin, Ireland, and was interested in the problems of small samples, for example the chemical properties of barley where sample sizes might be as low as 3. One version of the origin of the pseudonym is that Gosset’s employer preferred staff to use pen names when publishing scientific papers instead of their real name, therefore he used the name “Student” to hide his identity. Another version is that Guinness did not want their competitors to know that they were using the t-test to test the quality of raw material.

Gosset’s paper refers to the distribution as the “frequency distribution of standard deviations of samples drawn from a normal population”. It became well-known through the work of Ronald A. Fisher, who called the distribution “Student’s distribution” and referred to the value as t.

From the 1963 book Experimentation and Measurement (see pages 68-69 of the PDF, which are marked as pages 69-70 on the original):

The mathematical solution to this problem was first discovered by an Irish chemist who wrote under the pen name of “Student.” Student worked for a company that was unwilling to reveal its connection with him lest its competitors discover that Student’s work would also be advantageous to them. It now seems extraordinary that the author of this classic paper on measurements was not known for more than twenty years. Eventually it was learned that his real name was William Sealy Gosset (1876-1937).

Vertically Integrating Professional Skills Throughout A Mathematics Major

Every so often, I’ll publicize through this blog an interesting article that I’ve found in the mathematics or mathematics education literature that can be freely distributed to the general public. Today, I’d like to highlight “Vertically Integrating Professional Skills Throughout A Mathematics Major,” by Clarice Dziak, Brian Leventhal, Aaron Luttman, and Joseph Skufca. Here’s the abstract:

In response to a university mandate to include “professional issues” as a component of every major, we have developed a vertically integrated approach to incorporating the study of professional skills and issues into the mathematics curriculum. Beginning in the first year of study, mathematics majors take an inquiry-based course in mathematical modeling using software packages that are important in business and industry, such as Excel®, Maple®, and Matlab®. In the third year, students choose between a seminar course covering topics in teaching and another covering topics related to research and work in industry. The courses are designed to introduce students to the different cultures and issues of business, industry, and teaching. Beyond these two courses, students are required to demonstrate proficiency in three core areas through a required “professional experience,” which takes the form of an internship, undergraduate research experience, or educational outreach program.

The full article can be found here: http://dx.doi.org/10.1080/10511970.2013.876472

Full reference:Clarice Dziak, Brian Leventhal, Aaron Luttman & Joseph Skufca (2014) Vertically Integrating Professional Skills Throughout A Mathematics Major, PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 24:4,301-308, DOI:10.1080/10511970.2013.876472

Local Pi Day Event

As has been well publicized, tomorrow is the Pi Day of the Century (3/14/15). I actually know someone who intentionally planned her wedding for tomorrow morning at 9:26 am.

The North Branch of the Denton library will be holding a Pi Day event from 9:26 am until 5:35 pm, and I’ll be making four presentations (two for grade school children and two for teens/adults). You’re welcome to bring the family and enjoy as your schedule permits.