MT^2 — MfA Master Teachers on Teaching

PIH at MT^2-001I was proud to be a part of Math for America’s second annual MT^2 event , Master Teachers on Teaching.

MT^2 invites MfA teachers from around New York City to propose short talks related to the conference theme.  This year’s theme was Change, and the seven teachers selected to present offered many different and interesting interpretations of that theme, including changing our practice, changing how we see our students, and changing the rules in mathematics.

At this year’s event, I offered a lighthearted but sincere take on my mathematical relationship with change.  At last year’s inaugural event, where the theme was Modeling, I talked about how standardized testing often works against our attempts to teach proper mathematics (the video of the talk can be seen here).

This event is typical of how Math for America celebrates and empowers teachers.  They created a space where teachers could share their ideas, grow their practice, and interact around mathematics, science, and teaching, and it was all teacher-led and teacher-driven.  Several hundred teachers were inspired by the work of their peers, challenged to think differently, and encouraged to continue to strive to be better teachers.  It’s great professional development, and it was a fun evening!

12/5/13 — Happy Right Triangle Day!

Happy Right Triangle Day!  Today we celebrate a favorite geometric object:  the 5-12-13 right triangle.

5-12-13 Triangle blue

Of course, the sides of this triangle satisfy

5^2 + 12^2 = 13^2

and, thus, form a right triangle.  But one reason I like this particular right triangle so much is the role it plays in another favorite triangle.  The 5-12-13 triangle fits together perfectly with the 9-12-15 right triangle

5-12-13 plus 9-12-15 Triangle blue

to make the 13-14-15 triangle!

13-14-15 triangle blue

The 13-14-15 triangle is special in its own right:  it is a Heronian triangle, a triangle with rational side lengths and rational area.  In fact, this triangle has  integer side lengths and integer area, making it especially interesting!

Happy Right Triangle Day!  If you’re in New York City, you might want to join the Museum of Math as they pythagorize the Flatiron Building!

12/03/2013 — Happy Permutation Day!

Today we celebrate a Permutation Day!  I call days like today permutation days because the digits of the day and month can be rearranged to form the year.

12032013Not only is today a permutation day, but it is also a double-transposition day!  We can turn the month and day into the year by first transposing the ‘1’ and the ‘2’, and then transposing the ‘1’ and the ‘0’.  Permutation days are also nice because, unlike Palindrome days, they can celebrated on both sides of the Atlantic without heated disagreement.

As usual on Permutation Days, I suggest celebrating by mixing things up!

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