Bilingualism, Math, and the Brain

This is a short summary of recent research into how bilingualism strengthens the brain.

The details are a bit fuzzy, as is always the case in social science, but these results would not surprise me.  In fact, it’s surprising to me that people ever thought bilingualism would be a hindrance to cognitive function, as opposed to an aid.

I think about bilingualism often as a math teacher.  I try to consistently preach mathematical bilingualism, imploring students to train themselves to see problems both algebraically and geometrically.  Being able to see a situation in two (or more) ways not only creates great flexibility in problem solving, but it strengthens the overall inter-connections between mathematical ideas.

It seems only natural to me that traditional bilingualism would do the same.  Not only does it offer multiple filters for processing the world, but the development and maintenance of the cognitive systems is a real intellectual workout.

CTL 2012: The Write Angle for Teaching Math

I had the pleasure of running a workshop at this weekend’s Celebration of Teaching and Learning in New York City.  The workshop explored ways to inspire and structure student writing in math class, and was sponsored by Math for America.

In addition to the workshop, I wrote a companion piece for the CTL’s Edblog, titled  “The Write Angle for Teaching Math“:

http://thirteencelebration.org/blog/edblog/edblog-the-write-angle-for-teaching-math/3193/

The incorporation of writing into math class has played a pivotal role in my development and evolution as a math teacher.  This article discusses some of the ways I get students writing about math, both technically and creatively.

Writing in math class opens up a whole new world for both teachers and students.  Give it a try!  You might be surprised at where it takes you.

Spherical Geometry Explorer

This is a simple and powerful tool for exploring some basic ideas of spherical geometry.

http://www.math.psu.edu/dlittle/java/geometry/spherical/toolbox.html

In addition to investigating points, lines, and line segments on the surface of sphere, you can construct triangles, antipodes, and even circles in spherical geometry!

A picture may be worth a thousand words, but a good interactive spherical geometry applet is worth a thousand well-drawn diagrams!

Celebration of Teaching and Learning: In the Classroom

I will be running an “In the Classroom” workshop at the 2012 Celebration of Teaching and Learning.  The conference is organized by New York and New Jersey public television stations, and hosts over 10,000 educators from around the world.

My workshop, “That’s a Good Question!” will focus on inspiring and structuring writing in math class.  It will run on Saturday from 2:30 -3:45 pm.

http://thirteencelebration.org/blog/bios/presented-by-math-for-america-5/2979/

I am honored to be presenting at this conference, and proud to be doing so as a representative of Math for America.

Enjoy the Celebration!

Pi Day Pie

A colleague’s friend runs a bakery, and to help us celebrate Pi Day, they made little pies for all the math teachers in our department.

They were delicious!  But I would have been more impressed if they each had radius 1.

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