Can You Solve This?

A friend forwarded this very interesting video to me. It’s not so much an exercise in mathematics but an exercise in problem-solving and logic and especially confirmation bias. I won’t ruin the video but I’ll give the punch line at the end:

If you think that something is true, you should try as hard as you can to disprove it. Only then can you really get at the truth and not fool yourself.

Am I Going to Die This Year?

Here’s an unexpected application of exponential growth that I only learned about recently: the Gompertz Law of Human Mortality. It dictates that “your probability of dying in a given year doubles every eight years.”

Here’s the article that I read from NPR: http://www.npr.org/blogs/krulwich/2014/01/08/260463710/am-i-going-to-die-this-year-a-mathematical-puzzle?sc=tw&cc=share.

39 Ways to Love Math

From Math with Bad Drawings:

Last week, 6,000 mathematicians met in Baltimore. They crowded in conference rooms, swapped gossip over beers, and wherever free food appeared, they lined up like ants.

On a table in the hallway of the convention center, I stationed paper, markers, and the following invitation:

I got 39 replies, 39 tributes to math’s power—in short, 39 ways to love mathematics.

See the results here: http://mathwithbaddrawings.com/2014/01/22/39-ways-to-love-math/

From “Reshaping High Schools”

A colleague pointed out the following article to me: Put Understanding First, by Grant Wiggins and Jay McTighe. A sampling:

Unfortunately, the common methods of teaching and testing in high schools focus on acquisition at the expense of meaning and transfer. As a result, when confronted with unfamiliar questions or problems (even selected-response problems on standardized tests), many students flounder. Consider a high school algebra question that was included on state tests in New York and Massachusetts:

To get from his high school to his home, Jamal travels 5.0 miles east and then 4.0 miles north. When Sheila goes to her home from the same high school, she travels 8.0 miles east and 2.0 miles south. What is the measure of the shortest distance, to the nearest tenth of a mile, between Jamal’s home and Sheila’s home? (Students were provided with a grid they could use to plot the answer.)

Fewer than 40 percent of New York 10th graders correctly answered this item, despite the fact that the requisite knowledge is “covered” in every Algebra I class in North America. Test results such as these reveal not a failure of coverage but a failure of transfer.

Out-of-context learning of skills is arguably one of the greatest weaknesses of the secondary curriculum—the natural outgrowth of marching through the textbook instead of teaching with meaning and transfer in mind. Schools too often teach and test mathematics, writing, and world language skills in isolation rather than in the context of authentic demands requiring thoughtful application. If we don’t give students sufficient ongoing opportunities to puzzle over genuine problems, make meaning of their learning, and apply content in various contexts, then long-term retention and effective performance are unlikely, and high schools will have failed to achieve their purpose.

From high school math teacher to quarterback for the Dallas Cowboys

I’ve never been a fan of the Dallas Cowboys, but Jon Kitna remains one of the good guys of the NFL. After retirement, he went to work as a math teacher and football coach at his high school alma mater, getting students with learning disabilities to understand algebra (and thus be prepared for higher-level math classes in later years).

After the unfortunate injury to starting quarterback Tony Romo, the Dallas Cowboys called upon Kitna for emergency service. He plans to donate his one-game salary back to the high school.

Reference: http://bleacherreport.com/articles/1901693-jon-kitnas-salary-decision-proves-his-return-is-noble