Building the Profession of Math Teachers

msri national math festivalThis past week I traveled to Washington, D.C., to speak at a policy briefing sponsored by the Mathematical Sciences Research Institute.  The briefing was part of a policy day held in advance of MSRI’s first ever National Math Festival.

The theme of the briefing was “Building the Profession of Math Teachers in America”.  I was invited to give a teacher’s perspective on professional development, and to talk about what successful programs look like to teachers and the impact they have on classrooms and schools.

I spoke about the influence that programs like Math for America and PCMI have had on me, my colleagues and, in turn, our school.  These programs inspire and empower teachers, and help create an environment where teachers are more willing and able to take on the challenges that schools and districts face.

Here’s an excerpt from the closing of my speech.

I’ve been teaching for a long time.  I’ve seen new curricula, new standards, and new tests come, go, and come again.  And I know that the reality of policy-making is inextricably tied to these things.

But these things don’t really lead to the kind of authentic, sustainable change that comes from empowering teachers.  I have experienced this personally, I am witnessing it right now in my school, and through digital communities, I see it happening all over the country.

I was honored to represent teachers and talk about the positive impact these programs have had on me and my school.  But I was definitely nervous following speakers like Nancy Pelosi, Harry Reid, Al Franken, and many other politicians and policy makers!  Hopefully, my message resonated with those in attendance, and I’m thankful to the MSRI for giving me the opportunity to contribute to the conversation.

When do Multiple Rotations Exist?

I recently profiled an erroneous high-stakes math exam question that had two correct answers.

January 2015 GEO 27

Here, it is possible to map AB onto A’B’ using either a glide reflection or a rotation.

It’s interesting to note that there are actually two distinct rotations that map AB onto A’B’, as demonstrated below.

Regents Question -- Two Rotations

This raises an interesting question:  given two congruent objects, under what circumstances will two distinct rotations exist that map one onto the other?

In a comment on the original post, Joshua Greene offered another interesting follow-up question:

Under what circumstance, if any, are two line segments of equal length not images of each other under rotation? In which of those cases, if any, are the two line segments images of each other under glide reflection?

With enough work, even erroneous exam questions are redeemable!

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