2014 — Year in Review

As the year winds down it’s nice to take a quiet moment and remind myself just how busy 2014 was!  A benefit of blogging is how easy it makes this kind of reflection.

Teaching

Rhombic TriacontahedraIt’s a sign of a great year when lots of new ideas permeate your classroom.

A terrific workshop with George Hart offered by Math for America introduced me to Zometool as a mathematical teaching and learning tool.  In March we had fun with a Pi Day activity I designed, and ever since I’ve been finding ways to make Zometool a part of what we do in all my classes.  I’ve been thinking about symmetry a lot this year, which is a natural place for students to build and explore with Zometool.

I’ve also been working a lot with mathematical and computing technologies in class this year.  We’ve been using Desmos to explore concepts, build mathematical demonstrations,  and learn mathematics.  And we’ve been playing around in Scratch, building simulations and doing some elementary numerical approximations.  I’ve also started experimenting with 3D printing as a mathematical teaching and learning tool, and the preliminary results have been exciting.  I’m hoping to have more opportunities to work with this in the near future.

Speaking

circumcircleI’ve been very busy speaking and presenting this year.  I ran a variety of workshops in 2014 on topics such as 3D coordinate geometry, matrices, Desmos, and Twitter.

In November I presented “When Technology Fails!” at the 3rd annual Master Teachers on Teaching event at Math for America.  There are some great photos from the event here, and my talk even inspired a colleague to write a blog post!.  And in April I delivered the keynote address at the New York State Mathematics Association of Two-Year Colleges annual conference, giving my talk “Two Views on the Future of Math Education”.

Writing

strogatz smallOne of the professional highlights of my year was interviewing mathematician Steven Strogatz for Math Horizons.  Our wide-ranging conversation about mathematics, writing, and teaching was so much fun it ended up being published in three parts, all of which are freely available online!

I proudly continued my work with the New York Times Learning Network this year, where I wrote math lessons about ebola, fair division, March Madness, infographics, and the Olympics.

I also continued my work profiling and analyzing New York State Math Regents exams, including this piece about the curious difference in scoring between the Common Core and non-Common Core Algebra exams.  And on the lighter side, I contributed to this Mashable piece “In Defense of Math“.

So, 2014 was a very busy, but productive, year!  Here’s hoping 2015 is just as good, if not a little bit quieter.

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Math Haiku: Geometry Class

I personally enjoy writing, and as a math teacher I love getting my students writing about math.

One of my favorite writing assignments for students is math-themed haiku.  The rigid constraints of haiku make it an easy exercise, it allows students to access and interact with mathematical ideas in a different and creative way, and the elegance and efficiency of the for evoke the character of mathematics itself.

Here are some selections from this year’s Geometry class.  Enjoy!

We are both equal

We look exactly the same

We are congruent

Postulates assumed

Leading to certain theorems

Web of proof and math

Three lines have converged

Meeting at a single point

They are concurrent

Scalene triangles

Angles are dissimilar

Sides are unalike

CPCTC

A simple explanation

For congruent things

Math is easy now

Calculators do all the work

Sit back and relax

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Circumcircles in Desmos

Circumcircle in DesmosI’m presenting on Desmos at today’s AMAPS meeting in New York City, and preparing my talk was an object lesson in how wonderful this technology is.

Part of my presentation demonstrates simple ways that Desmos can be a part of every high school math class:  Algebra, Geometry, Trigonometry, Pre-Calculus, and Calculus.  While Geogebra is generally more suitable for demonstrating and exploring geometry, Desmos certainly can be useful in that course, so I wanted to show something relevant and interesting as part of my talk.  I thought, “Why not compute the circumcircle for an arbitrary triangle?”

While all the pieces of the mathematical puzzle were there for me, figuring out how to put them together in Desmos was a fun, frustrating, and worthwhile challenge.  I had to play around with the basic concepts associated with perpendicular bisectors and think creatively about some mathematical problems and equations.  I even ended up using the new regression feature in Desmos in a clever way!

I often get caught up in little challenges like this, and this is why Desmos is so wonderful:  it provides us a mathematical makerspace.  It invites us to play around, to create, to engineer, to build.  And all of this happens through using the language and concepts of mathematics.

You can see my circumcircle demonstration here, and you can find more of my work in Desmos here.

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