November 9, 2012, 7:00 am
Speaking of faculty adopting research-based instructional strategies, Theron Hitchman (who blogs at Circles and Tangents) wonders aloud in the direction of math education researchers: Why didn’t you tell me? That is, referring to research-based instructional strategies that seem to work really well with students,
Why do I stumble on these things only to find that they have been understood for decades? Why didn’t someone knock on my door and tell me I was doing it wrong?
My basic point is this: If you do research on teaching and learning, you owe it to society to share what you know. Scholarly publication doesn’t count. The mathematics education community talking to itself is a necessary condition for sorting out the truth of things, but it is insufficient for educating the public and for changing practice on a large scale.
If you know that the standard lecture-homework-exam …
January 30, 2012, 7:55 am
Since moving to west Michigan in July, my family and I have been living in an apartment while our house in Indiana
sells sits on the market. This is the first time since 2001 that we’ve spent longer than six months in a rental property. Sunday morning, as we woke up to find that we’d been buried in snow overnight (as per usual in west Michigan), I realized that the home ownership habit runs pretty deep with me.
When I looked out the door and saw the image you see in the photo, I naturally grabbed the snow shovel, walked out the door, and started clearing off the walkway and the van. I got some curious looks from my neighbors, as if to say: What are you doing? We are paying rent not to have to do stuff like this. And it’s true: The apartment manager usually comes through shortly after a snowfall and clears off the walkways. Usually. But who knows? Maybe he won’t come today. And anyhow,…
January 18, 2012, 7:12 am
Here’s a previous article in an ongoing series of What I Learned in 2011.
While it was still on TV, the show LOST was a favorite of mine. No, that’s not strong enough — it was an obsession. I discovered the show about halfway through its fourth season when I downloaded the series pilot from iTunes on a whim. I was hooked. I proceeded to watch the episodes online at a rate of about one per day — sometimes two or even three — until I caught up. I read the blogs, edited the wiki, listened to the podcasts. I was completely and totally absorbed. And this is coming from a person who otherwise watches TV maybe about an hour a week (modulo football and kids’ shows).
What was it about that show that I found so engaging? For me, the main thing was the deep humanity of the characters. In the first few episodes, it was very easy to pigeonhole them all. Sawyer was the criminal you had to…
January 3, 2012, 1:59 pm
One of the main reasons I’m at the AMS/MAA Joint Meetings this week is to take an MAA short course on discrete and computational geometry. That course is wrapping up this afternoon, and it’s been a good experience. I came into the course with zero knowledge of computational geometry, a within-\(\epsilon\)-of-zero knowledge of algorithms, and an extremely rusty skill set in topology. But I’m coming out with an appreciation for this subject and, hopefully, a basis for pushing farther into the field and eventually contributing something new.
Teachers ought to take courses more often. Apart from being intellectually satisfying, it’s useful to be on the receiving end of academic teaching in one’s own discipline every now and then because it helps you remember what it’s like to be in the shoes of your own students. Here are some things I’ve re-learned about being a student in a math…
October 14, 2011, 7:30 am
When we moved to Michigan from Indiana over the summer, my wife moved to a sort of “standby” status with her employer, a conglomerate of medical labs based in South Bend. They are considering opening up a new lab nearby, and if they do, my wife would not only work in the area in which she was trained — cytotechnology — but she would also be the general do-it-all lab worker for clients. To prepare my wife for her possible new duties, her employer is paying for her to take a class in phlebotomy this semester at a local college. That means she’s learning how to draw blood.
I joke with my students that if they think Calculus 2 is bad, then they should try taking a class that consists of sticking each other (and being stuck) with needles — literally, bloodletting — for 4 hours every week. But all jokes aside, there happens to be some pretty interesting pedagogy that takes place in my…
September 11, 2011, 12:04 pm
This is an article I first published here on the blog back on September 11, 2007, in remembrance of the sixth anniversary of the 9/11 attacks. It seems incredible that 10 years have come and gone since that horrible day of confusion and chaos. I was in my first year at Franklin College in Indiana then. On 9/11/2001, the students I have today were around 7 years old, which is the age of my oldest daughter right now. Knowing how innocent yet knowledgeable my daughter is, I can begin to understand the awesome formative power of that day in their lives. I think the point of this article — you’ll see it in the last paragraph — still works today for me, and it’s the same lesson that I want to communicate to my students and to my kids.
I remember 9/11/01…
February 25, 2011, 8:00 am
This article is the second one that I’ve done for Education Debate at Online Schools. It first appeared there on Tuesday this week, and now that it’s fermented a little I’m crossposting it here.
The University of South Florida‘s mathematics department has begun a pilot project to redesign its lower-level mathematics courses, like College Algebra, around a large-scale infusion of technology. This “new way of teaching college math” (to use the article’s language) involves clickers, lecture capture, software-based practice tools, and online homework systems. It’s an ambitious attempt to “teach [students] how to teach themselves”, in the words of professor and project participant Fran Hopf.
It’s a pilot project, so it remains to be seen if this approach makes a difference in improving the pass rates for students in lower-level math courses like College Algebra, which have been at around 60…
January 11, 2011, 10:14 pm
Image via Wikipedia
This week I’ve been immersed in the inverted classroom idea. First, I gave this talk about an inverted linear algebra classroom at the Joint Meetings in New Orleans and had a number of really good conversations afterwards about it. Then, this really nice writeup of an interview I gave for MIT News came out, highlighting the relationship between my MATLAB course and the MIT OpenCourseware Project. And this week, I’ve been planning out the second iteration of that MATLAB course that’s starting in a few weeks, hopefully with the benefit of a year’s worth of experience and reflection on using the inverted classroom to teach technical computing to novices.
One thing that I didn’t talk much about at the Joint Meetings or in the MIT interview was perhaps the most prominent thing about using the inverted …
December 22, 2010, 12:00 pm
Image via Wikipedia
Robert Lewis, a professor at Fordham University, has published this essay entitled “Mathematics: The Most Misunderstood Subject”. The source of the general public’s misunderstandings of math, he writes, is:
…the notion that mathematics is about formulas and cranking out computations. It is the unconsciously held delusion that mathematics is a set of rules and formulas that have been worked out by God knows who for God knows why, and the student’s duty is to memorize all this stuff. Such students seem to feel that sometime in the future their boss will walk into the office and demand “Quick, what’s the quadratic formula?” Or, “Hurry, I need to know the derivative of 3x^2 – 6x +1.” There are no such employers.
Prof. Lewis goes on to describe some ways in which this central misconception is worked…