Of Cats and Combinatorics (Help!)

The older I get, the more time I wish I’d spent with combinatorics. That was true when I got tapped to teach our undergraduate combinatorics course for a semester in 2011 – there, I was rescued by the grace of a colleague and an excellent, inquiry-based text. And it’s true again now: I’ve got a counting problem in a research project that I just can’t crack. So I’m opening it up to the internet, here first and on MathOverflow later if needed. Continue reading “Of Cats and Combinatorics (Help!)”

Grow Up, Branch Out: Quantitative Literacy for the 21st Century

This interactive video and set of resources was developed to support a faculty workshop offered by the Massachusetts Department of Higher Education in 2019. Special thanks to Robert Awkward, DHE’s Director of Learning Outcomes Assessment, for organizing and providing financial and logistical support for these workshops; and to Mary-Ann Winkelmes, Director of Teaching and Learning at Brandeis University, for co-facilitating the workshops by engaging participants in designing transparent assignments. Continue reading “Grow Up, Branch Out: Quantitative Literacy for the 21st Century”

Anti-Numeracy: Valid, But Not Okay

The only thing worse than our pervasive cultural misbeliefs about numeracy is when mathematicians give them cover.

Here’s an example, with author omitted. (These gags are ubiquitous and I’m not trying to “cancel” anyone!)

I am a trained mathematician right up until I have to calculate a restaurant tip. (In reply to the below)

And while I know these are tongue-in-cheek funny jokes (so please don’t @ me), I have to ask: Who laughs? Who’s supposed to laugh? And what happens when they do?

Continue reading “Anti-Numeracy: Valid, But Not Okay”

Boom, Bust, Hockey Stick: Unanimity in the U.S. Supreme Court since 1945

Earlier this month, I did a preliminary assessment of Andrew Torrez’s speculation on the Opening Arguments podcast that the Roberts Court has ushered in a new era of polarization on the U.S. Supreme Court. The answer, looking at 20 years of history, seemed to be no. A wider view of 75 years of history, meanwhile, suggests the answer is… still no. The Roberts Court is not significantly more polarized in its merit case votes than any other Court in this history.

Does the defendant’s case hold water? “No. Andrew. Was. Wrong!”

But, the data suggest two interesting trends in Supreme Court unanimity over the past 75 years: a steady boom-and-bust cycle about every decade, and a significant Roberts Court uptick in the second derivative suggesting that year-over-year, the consensus about consensus may be disappearing.

Continue reading “Boom, Bust, Hockey Stick: Unanimity in the U.S. Supreme Court since 1945”

The Visual Syllabus (2019 National IBL Conference Poster)

“If my teaching is ‘different,’ my syllabi should be too.”

About three years ago, concomitant with my wholesale switch to standards-based grading, I also set aside the well-worn course syllabus template that I’d used for all my courses and set out, from a blank page, to design a syllabus my students would find worth reading. The result is a colorful, four-page visual syllabus that is now the key artifact of my teaching. Continue reading “The Visual Syllabus (2019 National IBL Conference Poster)”