Saturday, July 2, 2016

Themed AP Lang and Comp: Mathematics

The Advanced Placement English Language and Composition exam is focused on analysis and argument based on nonfiction texts, which means there's a lot of opportunity to theme the readings for a course that prepares students for the exam. I'll write about a few different themes; this post focuses on a mathematics theme.

The key components of a class preparing students for the AP Lang & Comp exam are:
  • writing narrative, expository, analytical, and argumentative essays
  • writing multiple drafts of essays
  • some informal writing (journaling, etc.)
  • writing assignments based on a variety of prose styles & genres
  • nonfiction readings of a variety of types (essays, journalism, political writing, science or nature writing, biography, diaries, history, criticism, etc.)
  • graphic/visual image analysis
  • citing sources
With those components in mind, here is an example set of readings for a math themed class. I tried to assemble a set of readings that could fit together coherently while covering different types of writing and topics within mathematics.

Links and Thoughts on Math and Math Ed

Here are a few things I've read recently related to math and math ed!

Sam J. Shah wrote about having a book club in a math class. I like the readings and the thoughts on organizing the discussion, and it would be interesting to think more about how to scale it. I've been putting together a set of mathematics related readings, more focused on thinking about writing and analysis with math as the subject than the other way around, and that list will definitely be influenced by this set of readings.

Steven Strogatz on math, modeling, and his math course for liberal-arts students. I really enjoyed reading what he had to say about that course, both the approach and what it's important to learn in such a class. The part of this that hit me the most, though, was the part about mathematical beauty. I'm definitely prone to describing math, or at least good math, as beautiful and elegant, and while I've had success explaining to people where I see that beauty, Strogatz is right that it can also be alienating. I'd like to keep that in mind.

Francis Su (MAA president and Harvey Mudd professor) on focus on process vs grades, growth mindset, and academic dishonesty.

SIAM and COMAP (which runs the Mathematics Contest in Modeling) put out this guide to teaching math modeling in K-16. It's cool.

Mark Chubb wrote about an estimation-focused task near the end of a unit on multiplication and about what it means in terms of focus on concept vs focus on procedure. All the questions at the end of the post are really important, and I would ask another question. I don't wonder only what students think being successful at mathematics looks like but what they think mathematics is. Also, I love the task itself.