Math Lesson: Summer Math

My latest contribution to the New York Times Learning Network is a collection of activities for having some summer fun with math!

https://learning.blogs.nytimes.com/2012/04/25/these-days-are-numbered-eight-summer-math-ideas/

I will definitely be enjoying the quantitative aspects of the Olympics this year, and I may just embark upon a personal data study like Stephen Wolfram did!

Any other ways to have fun with math over the summer?

Math Quiz: NYT Learning Network

Through Math for America, I am part of an on-going collaboration with the New York Times Learning Network.  My latest contribution, a Test Yourself quiz-question, can be found here:

https://learning.blogs.nytimes.com/2012/04/25/test-yourself-math-april-25-2012/

This question is based on the increasing number of Chinese tourists visiting the United States each year.  Just how much are they spending?

 

NFL Draft Math: 2012

2011-nfl-draftIt’s almost time for the 2012 NFL Draft, and I thoroughly enjoy the many quantitative aspects of this event.  The NFL Draft offers a complicated optimization problem with 32 actors all trying to maximize their gains.

To begin, teams and scouts evaluate the draft-eligible players and attempt to quantify their value.  In doing so, they consider not just the player’s skill and athletic ability, but also the importance of the position.  For example, generally speaking a left tackle is seen as providing more long-term value than, say, a cornerback.

But quantifying player value is just one part of a complicated equation.  Teams need to balance player value with team need; if the best player available doesn’t fit with what the team needs, selecting that particular player may not be the best use of that pick.  However, if that player is coveted by others, the team can try to extract more value by trading the pick for other picks or assets.

In order to facilitate deals, a trade value chart exists which allows teams to compare the values of different picks in the draft, almost like a currency conversion chart.  It is interesting that the perceived value of picks seems to decline exponentially.  And as teams package picks to move up in the draft, they may end up paying more than market value.

Further complicating matters is how player contracts play an increasing role in draft evaluation.  Highly drafted players earn large guaranteed salaries, but certain positions may not be seen as worthy of such payouts.  Would $10 million be better spent on an above average lineman, or an outstanding safety?

There’s a lot of math in the NFL draft, so if you like football and mathematics, sit back and enjoy!  We’ve already got one great question to keep an eye on this season:  will Robert Griffin III prove to be worth the high price the Redskins paid to draft him?

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Visualizing Ocean Currents

This is a beautiful representation of ocean currents around the world:

http://www.flickr.com/photos/gsfc/7009056027/

Put together by the NASA/Goddard Space Flight Center Scientific Visualization Studio, this short video circles the digital globe, showing the relative strengths and directions of ocean movement.

Watching this allows one to see some of the basic mathematics of fluid flow, like tendency toward rotation and how fluid behaves at boundaries.  In addition, global phenomena like the jet stream and trade winds can also be perceived.

This dynamic representation of data is similar to this wind map in how it brings to life the ideas of vector fields and flow lines.

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