I’ve mentioned our First Year Interest Group program at Madison before. (More here). It is well-designed, and we now have a good deal of data indicating that participation in it decreases the likelihood of students dropping out, and improves their academic performance. The participants are, on average, less well prepared than the average freshman and, on average, do better in terms of GPA, time-to-completion, not dropping out, etc.
So what next? The university is committing resources to increase pretty dramatically the numbers of FIGs being offered (doubling the number of students involved over the next two years). And some of the involved faculty are interested in starting up a bi-weekly discussion during the Fall semester, to discuss instruction. As Derek Bok points out, whereas faculty members in research universities solicit, and if they are lucky get, lots of diverse and hard-to-ignore feedback on their research which they can use to improve it, they spend very little time engaged in a community of teachers trying to learn how to improve their teaching. The aim is to establish a place where we can begin to improve our teaching in the ways we try to improve our research.
I, perhaps rashly, volunteered to lead the group (well, it was my idea, so I didn’t have much choice – my task is to come up with things to read and do over the semester, and get people to do them). So, I need ideas of things to do. This is a group of people who have very little in common – very different disciplines and different schools across the university – what we have in common is just that we are teaching one course with just 20 freshmen in it. I’m quite inclined to start out with some general reading about the university and what our aims should be for students (I find that everyone who reads Our Underachieving Colleges (review still pending…) is glad they did so, but there’s also a terrific essay by Susan Engel (thanks Sabina’s Hat) in College Success: What It Means and How to Make It Happen on what makes for good college teaching) but I want to get onto more concrete exercises pretty soon. One suggestion (from Susan Engel, whom I just emailed on the basis of her essay) was setting up sessions so that we actually teach one another things (not necessarily something we are teaching the students, but how to bake a cake, or something like that) and discuss how we do it. I’d really welcome more suggestions of reading and activities, either from people who have done this sort of thing before and know what has worked (and what hasn’t) or from people just think they have something useful to add. Please don’t feel inhibited from making suggestions because you are not a faculty member – I am roughly 100% confident that we have things to learn from other professions and non-professions (one of the most useful discussions I’ve had about teaching was with a U.S. Marine who spent several years leading a unit teaching fighter pilots).
{ 55 comments }
Ahistoricality 04.13.10 at 3:53 pm
A chapter from Wineburg’s Historically Thinking and other unnatural acts. Any chapter, really.
Rob Reich 04.13.10 at 4:05 pm
As a stimulus for getting educators to think about how better to lead discussions, I find Stringfellow Barr’s “Notes on Dialogue” really useful.
http://www.stjohnscollege.edu/about/dialogue.shtml
Chris Bertram 04.13.10 at 5:10 pm
Harry, I’ve been tempted to read Bok after reading earlier posts of yours. But how relevant is it to the UK system? Is it very US-centric?
NickS 04.13.10 at 5:25 pm
I don’t have any specific suggestions, but it does make me think of one thing. My brother owns a small business (~15 people) for which the employees are mostly college students, of college age, or just slightly older. One of the things that he has been doing for the last couple of years, on his own initiative is getting faculty from the university to offer a short class (3-6 weeks, meeting one night a week) open to whatever employees are interested (with some social pressure on people to go to the entire course if they start) . It’s outside of work time, but attendance is free — the business pays both the faculty and for whatever texts are needed.
He started this program for various reasons — personal interest, a feeling that it would be a nice benefit to offer, and also because they thought it would be good for the business. He believes, as someone who had attended an interdisciplinary college, that collaborative academic experiences are a way to learn specific skills about thinking and working together that are valuable in the workplace.
In doing this he definitely has developed opinions about what contributes to a good class when you have instructors who are teaching material that draws on their discipline but is targeted at people who may or may not have any interest or background in that discipline. It’s also encouraged him to think that there are strengths (as well as weaknesses) to doing something in the general form of a college class outside of the college setting.
I don’t feel like I can summarize his thoughts but if any of that sounds like it might provide useful food for thought for your situation e-mail me, and I’d be happy to put you in touch with him, or try to get more specific information.
Chris Stephens 04.13.10 at 5:37 pm
A book with lots of practical advice that I found useful is Wilbert McKeachie’s Teaching Tips.
I participated in a teaching workshop that included faculty from across the University. We took turns presenting material (it could be about anything, most chose something to do with their research or teaching) to each other in “mini-lessons”; everyone received verbal and written feedback (and they were video-taped as well).
For example: I tried out a modified version of the Rawls game (from Teaching Philosophy 1986) in one of the mini-lessons.
Sabina's Hat 04.13.10 at 5:38 pm
Here’s a link to Engel’s essay.
Harry 04.13.10 at 5:44 pm
CB –yes, its pretty US-centric, though not as much as it seems at first glance. You have to read it regardless, I’m afraid (I’ll explain later in a letter you’ll be getting soon).
Bloix 04.13.10 at 5:44 pm
Harry, I can’t tell you how grateful I am to read about faculty members who want to become better teachers. May I suggest that you include discussions of grading and evaluation in your project.
Western Dave 04.13.10 at 6:33 pm
Have them break down a lesson from their class into skills, content, and pedagogy. Have folks see they line up. Then ask them to learn something really foreign. I like the how to bake a cake one if you have non-bakers in the class – because you can have them read the recipe, watch a youtube clip, and then try it with somebody who knows what their doing watching (but not doing it for them). Anybody who is not a baker who has tried to scratch bake a cake just by following a recipe is in for a rude surprise. Ditto watching it on tv, yet this is often what we ask students to do. The apprenticeship model works wonders. You can even break into twor groups. In one have the bakers watch the non-bakers try to work from a recipe and then give feedback after the fact. In the second group, bakers and non-bakers work together (but the bakers have their hands tied, only verbal help, or 15 seconds of technique demonstration or something like that) and compare who gets the better cake. You can also do this with something shorter, like the proper way to slice an onion, but the problem with that is you don’t get cake at the end. After the cake exercise ask them to revisit their content, skills, pedagogy chart and see if they would change anything.
Plus, Sam Wineberg.
James Wimberley 04.13.10 at 6:50 pm
This looks useful. Via good article here.
A visit to a good primary school class might be worthwhile. Small children are aliens of course and not everything that works with them will be relevant to 20-year olds, who are alien in their own way. Thinking about the differences and parallels would be interesting. Deliberate disruption must be unusual in HE, but holding attention is the same problem.
Nony 04.13.10 at 7:18 pm
Coming to Critical Engagement might be good as a “big picture” resource. Quote from editorial review says it well: “ This book describes how members of a faculty learning community have come to understand engagement as both intellectual endeavor and scholarly practice at the interface between academy and citizenry. “
Another Damned Medievalist 04.13.10 at 7:28 pm
Oh goodness — I will be teaching our equivalent course this coming year, and am really interested to see how it works. I second Ahistoricality’s suggestion of the Wineburg. I also have been thinking about something for our majors, and may expand it to a campus-wide thing, if colleagues are interested. I actually got the idea from a Wineburg essay in the Chronicle — he put a bunch of faculty from different fields in a room and asked them all to work on a primary source. What this demonstrated is that historians really DO read differently and use different critical tools than people in other fields, and was an eye-opener for thinking about assuming that students know what we are looking for.
So anyway, most of my departmental colleagues are willing to offer skills workshops, where we all work with students and each other, so that students can see where we also struggle a little, and that we are not necessarily all experts in each other’s fields, and most importantly, participate in the process of working through difficult sources. I have to admit, I’ll be really interested in how my Americanist colleagues deal with some of the documents (in English) I bring in! This isn’t just for the student’s though; my hope is that it helps my more self-reflective colleagues see where we can improve.
Oh — also (and this is an informal faculty-driven thing, too) several of our newer faculty have asked if others would be interested in an observation exchange, with any faculty interested in observing a particular kind of class (lecture, discussion, group work, etc.) could come and observe and/or be observed and get informal feedback. I’ll be interested to see how these things work.
Metatone 04.13.10 at 9:23 pm
I don’t have any academic specific books to offer, but I’m sure there must be some out there from my field. Failing that, start with the hoary old chestnuts of my field (intercultural issues in business) Trompenaars or Hofstede.
I don’t know how diverse Madison’s intake is… but I’m sure there’s some value in just asking questions about the mental models students may bring in to the “Professor – Student” relationship…
joe koss 04.14.10 at 2:49 am
“A visit to a good primary school class…”
For maximum effect, I suggest a mildly dysfunctional classrooms full of 12 and 13 year olds (that may or may not be redundant), with the provision, of course, that the professor be a participant that prepares and gives a relevant lesson.
DCA 04.14.10 at 3:25 am
(from the Cool Tools website)
DCA 04.14.10 at 3:26 am
http://www.faa.gov/library/manuals/aviation/aviation_instructors_handbook/media/FAA-H-8083-9A.pdf
Ahistoricality 04.14.10 at 5:02 am
Oh, here’s another suggestion: Avoid anything and everything by Parker Palmer.
There is some fantastic stuff on pedagogy on the web, shorter things that could jump-start discussions, like Scott Eric Kaufman‘s teaching material (e.g. and e.g.) which has the added advantage of jumping you right into a discussion of students as learners (Wineburg does, too).
harry b 04.14.10 at 11:49 am
DCA – thanks. Astonishing. We need the FAA to put out a College instructors handbook.
Steve LaBonne 04.14.10 at 12:35 pm
I think faculty in higher education may have more to learn from both government agency (e.g. FAA, military) and private-sector training methods than from the K-12 system. The stakes for trainee learning in such organizations are often very high, so there is no room for fooling oneself about which teaching strategies are effective and which aren’t.
david m 04.14.10 at 5:13 pm
This is not a reading, but an activity that I believe can be useful in addressing the dropout portion of your goals. Bring in the 4th year students and let them talk very honestly and openly about their friends who dropped out: why they did it, what went wrong, what they could have/should have done differently. I know it’s not a particularly novel activity/structure, essentially a panel discussion, but so many of the things that mess students up are the result of a lack of experience and example. Often, there are steps first years can take to solve or treat problems before they snowball into catastrophes, but they don’t take the initiative because they don’t know where to start or feel like they deserve to fail because of their ignorance.
There’s a huge difference between hearing this stuff from faculty and advisers and hearing it from people who are only recently through the same experience, and close to completing their goal. Something as simple as “make an appointment to talk to somebody in the financial aid office” can be eye-opening when it’s said by a student who had a problem and got it solved.
Salient 04.14.10 at 10:34 pm
You have to read it regardless, I’m afraid (I’ll explain later in a letter you’ll be getting soon).
I sense an opening here. We commenters should agitate for a CT book event!
… That aviation book is full of hidden gems. Take a look at the graphic on page 5-4 (page 106 of 288). They just so happen to align all the green “this is good” grades, so the entire “Fair” grade falls within unsatisfactory. That’s a nontrivial insight into how assessment grades are oriented in an instructor’s mind.
lgm 04.14.10 at 11:23 pm
These programs probably are great for some students, but not for those interested in math and science. When you lock together a group of students, you force all of them into the lowest level classes. Incoming science and math students usually have backgrounds that call for more advanced first year classes. Looking over the list of FIG options, only two are for “nerds” and only one of these includes calculus.
I long for a day when universities allow technically oriented students to ignore the liberal arts as much as liberal arts students are allowed to ignore math and science. My university has 4 distribution requirements: writing, foreign language, “culture”, and math/science. This may be fine for the philosophy major, but for the physics major, all that liberal arts junk is just a waste of a year.
College is too short to waste a year like this.
JLR 04.14.10 at 11:37 pm
“I long for a day when universities allow technically oriented students to ignore the liberal arts as much as liberal arts students are allowed to ignore math and science.”
Man, if you want to celebrate ignorance, you are reading the wrong blog. I hope you are writing a parody.
I would rather the converse were true, that all liberal arts students must have at least a superficial acquaintance with math and science. And I think, in fact, they generally do.
The least you could do is suck it up and get yourself even a passing familiarity with the sources of the intellectual tradition to which you are so reluctantly an heir.
harry b 04.14.10 at 11:54 pm
lgm — three courses in the first year of one’s college experience affords plenty of opportunity to do more science and math. I’m not involved in course selection, but I’d be surprised if lots of science and math courses were proposed and rejected; and I imagine that the advisory would be very enthusiastic about getting more proposals from them.
Of course, if you think that learning philosophy, history, economics, sociology, etc, is all a waste of your time, its probably because you’re a very brilliant man — but most of the rest of us have to make do with more modest attributes.
Salient 04.15.10 at 12:35 am
Harry, it’s worth mentioning that entrance-guidance counselors at U.W. Madison (as recently as 2000) actively discouraged me and every other first-year undergraduate attendee from taking calculus in our first semester, on the grounds that it’s really hard and lots of people fail and so it would be crazy to take on maths unless you really really need it. The guy who dialed the automated registrar^1^ literally said, “it’s crazy to take on calc if you don’t need it” — I bet that doesn’t get said of philosophy, not because philosophy is any easier or any less worthwhile, but because there’s a perception that math is the hard stuff and that it’s too tough for folks to tackle. Implicit in this is the assertion that challenges are to be avoided, not tackled, and that college is about getting through, not growing as a thinker. Neither of which you would intend, of course! But on the maths side, it’s these implicit assertions which we see cropping up all around us, and these which we’re preoccupied with, perhaps to the exclusion of evenhandedness at times.
That registration guidance thing still rankles. I had to explain to them repeatedly that yes I was an English major, and yes I wanted to take calculus, and yes I understand calc only satisfies a natural science requirement which is also satisfied by easier 3-credit courses and now sign me up for MA 221 please. It was exasperating even for stubborn ol me.
Of course things may have changed, but I remember leaving that experience bitter because I had been told not to take on hard things in my first day at college, and I was afraid about what that portended (luckily without cause; plenty of challenges awaited).
And where I currently am working, the entrance guidance is even more anti-mathematical, under the guise of trying to help students be successful. Math is often failed, ergo students should avoid math…
Anyhow, I think lgm was being bitter-sarcastic and meant to be calling for more demanding mathematics breadth requirements, not less stringent breadth requirements elsewhere (though I may be charitably misreading my own take into lgm’s comment).
^1^it was the semester before online registration
lgm 04.15.10 at 1:15 am
harry b said in part: “Of course, if you think that learning philosophy, history, economics, sociology, etc, is all a waste of your time, its probably because you’re a very brilliant man.” Quite the opposite. I’m a borderline dyslexic, which is beside the point.
One shouldn’t use “ignorant” to describe someone who would rather read Walter Rudin (famous Madison math writer) than, say, Ann Althouse (Madison blogging law prof). One might even side with C. P. Snow (“The Two Cultures”) who puts the question: “Can you explain the second law of thermodynamics?” at the same level as: “Have you ever read anything by Shakespeare?”
One can take the view that the second law of thermodynamics is as great part of our cultural heritage as the writings of Shakespeare. If that’s true, it should be equally permissible to ignore one as to ignore the other. Life is too short to know both well.
JLR 04.15.10 at 2:01 am
“One might even side with C. P. Snow”
Wow, now I’m really confused if you’re just yanking my chain.
If not, I think you have gotten the wrong take-away message from considering Snow’s
thesis. I think the only useful outcome is exactly the opposite of what you are suggesting. Ignorance of either should not be a source of pride.
“One can take the view that the second law of thermodynamics is as great part of our cultural heritage as the writings of Shakespeare.”
That, I think, is correct.
“Life is too short to know both well.”
It may be, but it is surely not too short to know one well and the other adequately. It’s not really that hard.
JLR 04.15.10 at 2:05 am
“a very brilliant man.†Quite the opposite. I’m a borderline dyslexic”
I’m pretty sure the one is hardly relevant to the other, let alone in opposition.
lgm 04.15.10 at 3:26 am
There is a double standard. Judging from the the FIG programs listed, it’s fine to ignore science completely but not fine to ignore liberal arts. NYU distribution requirements are weighted 3 to one against science in favor of liberal arts. The average nerd would rather take two science classes than one science and one Shakespeare. It’s not celebrating ignorance to allow this to happen, it’s celebrating diversity.
As you point out, I’m not agreeing with Snow all the way. But like him (and science majors across the country) I chafe at committees dominated by liberal arts professors who declare that you have to take X liberal arts classes to be “educated” while not knowing or caring a lick about science.
Salient 04.15.10 at 3:46 am
If that’s true, it should be equally permissible to ignore one as to ignore the other.
And it is — one can go through college, at nearly every college and university in existence, without touching Shakespeare. Without touching fiction writing, even. I think Harry’s point about economics, sociology, philosophy, history, etc holds — it’s a question of how narrowly or broadly we are being dismissive.
I do think breadth-level mathematics (e.g. math for poets) is fundamentally different from breadth-level coursework in other disciplines, except maybe writing, in that there’s strong pervasive anxiety over the subject matter in the population — and I think empathy with sufferers of that anxiety transmutes into institutional reinforcement of that anxiety. Calculus isn’t required or even acknowledged as a comparable breadth option because it’s really hard and scary, apparently. My current students didn’t know what calculus was, but had this impression that it must be an inconceivably hard course. They also don’t know what historiography is, but have no such common judgment of the difficulty of Historiography 101. It’s not social stigma per se, but it is social misinformation, which leads to math aversion, which leads to generalized avoidance of anything which requires mathematical tools to comprehend deeply, etc.
On the other hand, I feel pretty comfortable assuming that the FIGs won’t suffer from this aversion; heck, “Engineering, Communication, and Design” is the advertised group on the website, and “Space Exploration: Science, Engineering, Economics and Social Impact” has calculus as one of the interwoven courses. I’m really excited to see that.
Harry, there’s a potentially useful article I’ll send over email, a kind of classical (or at least widely referenced) article in mathematical pedagogy about how to teach concepts in linear algebra, well; it mostly attempts to generalize away from that specific topic into how abstract information is processed in a learner’s mind through concrete examples and perturbations of those examples, and how we as teachers can exploit the particular ways this process tends to work in order to maximize learning. Very Vygotskian stuff. Might be useful, might be too-specific junk.
Salient 04.15.10 at 4:00 am
But like him (and science majors across the country) I chafe at committees dominated by liberal arts professors who declare that you have to take X liberal arts classes to be “educated†while not knowing or caring a lick about science.
I still suspect math anxiety is at the root of this, not liberal arts administrators. I suspect this because I talk with various mid-level administrators at my school quite a bit, some who do have indirect curriculum influence, and they seem sympathetic to the “let’s have them all do more math and science, even the M.A. students” proposition — never had anybody in admin scorn the idea that English majors should take calculus,^1^ which is a rather radical proposal, really. But the undeclared students and the liberal arts majors predominantly come in with low math achievement thus far in life, high math anxiety, and strong aversion to mathematics. One admin said to me, “we need to provide a structure to support these students. And for math, they come in not ready for the remedial class.” I wonder how many other departments invest over 10% of their teaching (in terms of # of students) in remedial classes which don’t count for college credit.
I would be curious to know whether natural science departments which offer ‘for poets’ breadth classes tend to find themselves at pains to remove the trickier mathematics content from what they teach, or somehow glide over it and make it palatable, in order to provide a learning experience which doesn’t trigger students’ math aversion. Around here some folks in the department call our for poets class ‘math without math’ for that exact reason…
JLR 04.15.10 at 4:11 am
“As you point out, I’m not agreeing with Snow all the way. But like him (and science majors across the country) I chafe at committees dominated by liberal arts professors who declare that you have to take X liberal arts classes to be “educated†while not knowing or caring a lick about science.”
I’m not sure about the composition of these committees, but there is probably some truth to your point. I think, as Snow points out, the ignorance/un-caring goes both ways. It’s just that there is an asymmetry in attitudes about it. There is perhaps both a stigma attached to ignorance of the liberal arts and conversely an unseemly pride in ignorance of the sciences.
On the other hand, I think part of the asymmetry in requirements is due not to a surplus of liberal arts professors on the committees, but a self-imposed shortage of math and science professors. Surely the economic power in most universities resides in the hard sciences and harder social sciences and not in the classics department.
I think that while liberal arts professors see it as part of their mission to try to educate everyone (possibly as a way to compensate for the lack of obvious quantifiable economic value of their research output), science and math professors simply aren’t interested in teaching students outside of their disciplines.
I’m entirely sure that there is any real value teaching calculus to liberal arts majors, but they could certainly profit from some fundamental coverage of what science and math is all about, how it works, and why it’s important. Philosophy of science, if you will, but taught by someone largely sympathetic to its goals, devoid of all but the faintest sliver of continental philosophy or Feyerabend.
Surely NYU could pull this off. I mean they have the Courant Institute of Mathematical Sciences, named after a guy who wrote the book “What is Mathematics?”. Plus Alan Sokal.
I freely admit that I say all this with very little in the way of evidence.
JLR 04.15.10 at 4:14 am
“I’m entirely sure that there is any real value teaching calculus”
Sorry, not entirely sure.
Salient 04.15.10 at 4:29 am
JLR, you had me until the fourth paragraph…
science and math professors simply aren’t interested in teaching students outside of their disciplines.
Nawwwwwwwwwwwwwww. Ok, you said you freely admit that you say all this with little evidence. But my anecdata shall totally pwn your anecdata. Witness:
Lots and lots and lots of ‘science for poets’ classes exist. Absolutely, categorically no ‘poetry for physicists’ classes exist.^1^
In fact most of our discussion as a department (the part where we grad students have a say anyway) is about the math-for-poets courses: how do we do this, how do we do this well?
I’m not entirely sure that there is any real value teaching calculus to liberal arts majors
Now, see I wonder, do you say that having taken some coursework in calculus and mathematical physics? Or is it pronouncing the worthlessness, or at least inapplicability, of a topic with which you haven’t become acquainted? (It’s ok either way. But as an English major who discovered tools to think about books more deeply through thinking about calculus, I have to stand up for the crossover potential here.)
At this university we have a ‘calculus for poets’ (and biologists) course, three math for poets courses total, and the potential for exploration, logical tinkering, creativity, and so on is really exciting. Maybe not every liberal arts student would be optimally served by such a course, it is true. I would settle for one third.
^1^Actually, I am hoping to be proved wrong, because ‘poetry for physicists’ would be awesome.
JLR 04.15.10 at 4:42 am
“Now, see I wonder, do you say that having taken some coursework in calculus and mathematical physics?”
Indeed, I say that as a working computer scientist, who happened to have worked as a research scientist at the aforementioned Courant Institute, but who also pursued graduate study in history.
I’m all over the crossover.
I’m happy to be shown wrong about ‘calculus for poets’ classes if they are indeed widespread. I’ve never come across one, nor do I know what their content looks like.
I would still assert that, given someone who will only receive limited coursework in math and science and who may have limited aptitude, that that time is better spent learning about math and science rather than learning how to do math and science.
JLR 04.15.10 at 5:02 am
“pronouncing the worthlessness, or at least inapplicability, of a topic”
Banish the thought. I thought I made clear that I’m decidedly not in favor of ignorance of either side of the ‘two cultures’ divide.
I’m just thinking about optimizing the limited educational time/interest of students by taking account of tradeoffs between most generally useful or amiable subjects across the divide.
I think that dropping most liberal arts majors into a calculus class is going to provoke the same WTF response and hostility that dropping hard science people into a hardcore critical theory class would. I understand that it is critically important that students get exposure outside their comfort zone, but past a point, I think it’s counterproductive.
Now, I have my biases, but I think an ideal introduction for science people to what really happens in humanities scholarship would be a historiography class. It’s a discipline that is evidence-based, and so not completely foreign to scientists, but on the other hard it involves interpretive techniques that are fairly prototypical of the humanities in general. It’s a good hook and provides a gentle slope to more foreign modes of thought. The outer bounds of historiography edge into critical theory, for instance.
Salient 04.15.10 at 5:30 am
I’m all over the crossover.
Awesome, I didn’t want to bore with an explanation of what calculus is / can be if it was already familiar. And it really is beautiful, not just the grand theory, even some of the petty details. I can’t have been the only student to hear “a simple closed curve separates the plane” in a lecture and think it to be one of the most gorgeous phrases I’d ever heard.
I thought I made clear that I’m decidedly not in favor of ignorance of either side of the ‘two cultures’ divide.
I probably misread something, apologies.
A note on for-poets classes — ‘physics for poets’ is much more widespread, as well as biology for poets (my biology for poets class was the 100-level Entomology class, at U.W.-Madison). They go by various names, but it’s usually of the form [Natural Science Department] 104: [Catchy Title]. Big lecture hall courses, fewer than 10% of attendees plan to major in the subject, etc. Here, the calculus for poets class (here it’s 100 level calc versus 200 level calc) does indeed have a catchy title (redacted); it focuses on the idea of mathematical relationships (e.g. derived from gravitational force) and properties of those relationships (rate of change). It eschews the trickier computational tricks of calculus, spends more time motivating the proofs of central claims, and discusses the concepts of derivative and integral from more of an exploratory perspective, wandering its way into arguments instead of unpacking elegant proofs. The problem encountered: many of our students in there have low core skill functionality. It’s not that they can’t read a graph — they can’t, but that can be course content — it’s that they aren’t ready to learn how to read a graph. Not just Cartesian graphs in x and y, but… any graph. They don’t have the prerequisite skill set. (By “they” in this, I mean only something like 20% of the students in there.) So we invest heavily in remediation and support services, but still, there’s only so much we know how to do for them.
And maybe this is a bias of my own, but the thought of someone graduating from college without the ability to read a visual display of data in two dimensions? Can any was-a-liberal-arts-major-in-college individual on CT honestly claim they graduated with the inability to confidently read a variety of graphs and charts? It just rankles.
But this is getting far afield of recommending resources for reflection on and development of teaching best practices, so I’d best leave off.
Alex Gregory 04.15.10 at 6:26 am
Half-relevant to various things that have popped up here: http://opinionator.blogs.nytimes.com/category/steven-strogatz/
A Prof at Cornell blogging on mathematics, but for people who never really “got” maths. Really good reading, and a fair model of how to explain complex ideas at a beginners level. (Start at the beginning, there aren’t many.)
harry b 04.15.10 at 6:32 am
Thanks for all this Salient.
lgm — go have a look at the breadth requirements for L&S. You’ll find that they, indeed, fall foul of your standards, and we could have an interesting discussion of them, somewhere else. They, by the way, are arrived at not by a committee dominated by liberal arts professors but by a kind of complicated horse-trading process in which we decide, effectively, how to use student enrollments to enforce cross-subsidisation (not that I’m cynical or anything).
As a criticism of the FIGs program your comments are completely irrelevant, since the FIGs are entirely voluntary (and only about 1/8th of the incoming class currently participates) and have nothing to do with breadth requirements (except that, incidentally, one might get some of them out of the way through participation). And, as I say, if more math/science FIGs were proposed by faculty, more would be offered by the program. My intense irritation at your first post was a response partly to its two-fold irrelevance — it is obviously an off-topic post, and the criticism it contains is irrrelevant — but I do see that the latter is not obvious to you because neither I nor the website explained the voluntary character of the FIGs.
harry b 04.15.10 at 6:45 am
I add a note that only professors can propose FIGs, and since science professors teach far fewer courses on average that social sciences and humanities professors that would be one explanation of the paucity of proposals from them (my own department was willing, in current circumstances, to release just one prof-taught course for this purpose for next Fall).
CaptFamous 04.15.10 at 3:39 pm
You should do an improv workshop. I’ve found that using basic principles of improvisation can vastly improve conversation and discussion, especially when you’re dealing with people you don’t know that well.
pcy 04.15.10 at 4:07 pm
Have you folks evolved beyond Chickering and Gamson already? If not, this isn’t the original source, but a good gloss:
SEVEN PRINCIPLES FOR GOOD PRACTICE IN UNDERGRADUATE EDUCATION
http://honolulu.hawaii.edu/intranet/committees/FacDevCom/guidebk/teachtip/7princip.htm
lgm 04.15.10 at 4:09 pm
“I think that dropping most liberal arts majors into a calculus class is going to provoke the same WTF response and hostility that dropping hard science people into a hardcore critical theory class would.” — JLR
This is an example of the asymmetry I was talking about. “Critical theory” is a 20-th century specialized invention that even many English professors have little use for. Calculus was invented around 1700 and is the language of all hard science.
“They, by the way, are arrived at not by a committee dominated by liberal arts professors but by a kind of complicated horse-trading process in which we decide, effectively, how to use student enrollments to enforce cross-subsidisation (not that I’m cynical or anything).” — harry b
Agreed. Now, in self defense, I don’t think I was so off topic. You posted about the FIG program. I posted a comment on FIG, which I stand by — it’s almost all liberal arts. As you say, this probably is because math and science faculty aren’t interested in doing this kind of thing. Don’t you think it was an interesting thread?
harry b 04.15.10 at 5:50 pm
lgm — yes, interesting (though distracting — I’m really trying to figure out what to do, but there are lots of good suggestions here). Also, I’ll see if there’s anything to be done about broadening the offerings that hasn’t already been tried.
Steve LaBonne 04.15.10 at 5:57 pm
I think probability and statistics for poets should be a higher priority than calculus for poets.
Salient 04.15.10 at 6:11 pm
[Aside to SLB – well, true, but the stats department isn’t the math department. I dunno what they do, really. Our general math for -poets- liberal arts class includes lessons on probability in its proportionality unit, and has a statistics half-unit sharing exam space with ‘visual representations of frequency’ half-unit.]
SamChevre 04.16.10 at 3:19 pm
Hey, it’s the once in a blue moon that I agree with Steve. (If there’s one math course everyone should take, IMO it’s probability and statistics.)
On to an actual comment. What I as a teacher find helpful is watching others teach, so either observing classes, or teaching one another, seems like a good idea. For reading, I think that Hirsch’s (admittedly controversial) Cultural Literacy is a very useful starting point for discussion and teaching. (It ties into the math discussion, too; the problem with teaching math is that the mathematical literacy levels are so very low in the general population.)
chris 04.16.10 at 6:45 pm
It’s not that they can’t read a graph—they can’t, but that can be course content—it’s that they aren’t ready to learn how to read a graph. Not just Cartesian graphs in x and y, but… any graph. They don’t have the prerequisite skill set.
At some point, doesn’t this have to be laid at the door of the admissions department? If they couldn’t read a line of poetry — in the sense of resolving the squiggles of ink into words — you presumably wouldn’t hesitate to say that they were not qualified to set foot in your hallowed halls. The idea that math, *specifically*, is infinitely disposable is part of the problem, isn’t it?
High schools (at least middle-class and above ones whose parents expect their children to go on to college) respond to what college admissions departments are expecting. If you lower the bar, so will they, and vice versa, no?
Colleges can’t directly go back in time and give their students better math education from the elementary-school level on. But over the long term, they can affect the incentives to do so.
But then, that advice is probably useless in the short term, so please pardon my ranting.
lgm 04.16.10 at 7:56 pm
OK, to atone for offtopicness, here are some suggestions:
On teaching: two items with the theme that methods that appeal to the teacher may not be the best for the student.
* the essay by Richard Askey: Good intentions are not enough (found here: http://www.math.wisc.edu/~askey/ask-gian.pdf, I couldn’t embed the link, sorry).
* From the Feynman Lectures on Physics: the introduction, and the the non-technical parts from the “special” lecture on the least action principle.
Possible FIG programs I would try to (find faculty to) organize if I had volunteered to do so:
* Dynamics of climate change: differential equations, physical chemistry, planetary science. It’s something incoming freshmen might be interested in, and actually can understand. Most of them would have had basic calculus and chemistry in high school.
* Simulating Functional genomics: differential equations, organic chemistry, computer programming. This is an exploding part of biology the freshmen can understand. Much of the work is by computer simulation, which an incoming freshman with the right background actually could do.
* Who wrote Shakespeare?: basic statistics, class on Shakespeare, computer programming. There are interesting speculations about whether Shakespeare wrote Shakespeare. Did the same person write Hamlet, Edward III, and The Puritan? Textual analysis (work counts, etc) offers evidence. These involve statistics and computing. These are not the most important questions in the world, but they capture the imagination.
Salient 04.16.10 at 8:31 pm
I really really don’t want to clutter up this thread with this, but–
At some point, doesn’t this have to be laid at the door of the admissions department?
Nope. We’re a public university with (i) a responsibility to serve our state and (ii) hardly any second-tier university structure at all, unlike U. of Wisconsin which can tier admissions requirements across its university system. But I wasn’t complaining about the remediation. I agree with the cited administrator: we need to provide a support structure (and we’re continuing to work on doing so).
If they couldn’t read a line of poetry—in the sense of resolving the squiggles of ink into words—you presumably wouldn’t hesitate to say that they were not qualified to set foot in your hallowed halls.
That’s a tad bit unfair. There’s a difference between being able to resolve “2x + 3y = 8” and read off the symbols, and being able to graph that equation and explain how to interpret its slope.
Taking the statement less literally: facts not in evidence, dude. It’s not like our students are particularly gifted writers all, either.
In fact, many math professors here quite often assert that their students would be doing much better in math if their literacy improved — the students often know more math content than they are able to show on exams, because they lack the reading skills necessary to parse carefully phrased questions.
The idea that math, specifically, is infinitely disposable is part of the problem, isn’t it?
Not really. See above. It’s not like we require a verbal SAT of 1200 and a math SAT of 600, or something. Standards are set so that we can adequately serve the population we have.
High schools (at least middle-class and above ones whose parents expect their children to go on to college) respond to what college admissions departments are expecting.
Well, …that would cover, like, one county around here, and we’re a state school serving the entire state, etc. Even to be cynical about it and set aside our purpose in existing, which I personally believe in quite fervently and unshakably, I think “let’s not serve anybody rural” is not a winner when appealing to the state legislature to not slash our funding.
To bring this back around to the thread a little: one thing I really like about Harry’s reflections is the focus on what the purpose of a public university is and can be. Thinking through those first principles carefully seems quite appropriate when attempting to improve quality of instruction — it’s a nontrivial epiphany to realize that any pedagogical evaluation is predicated on characteristics of the audience. (Which characteristics?)
I teach quite differently because of where I anticipate my students are going, what I anticipate they will do with their lives. Without a complete picture of that, I rely rather heavily on data about where students at this university have tended to take careers, and try to put emphases in accordingly.
To what extent is this anticipating probable student interests, and to what extent is this reinforcing existing patterns which might not serve my students well? That’s something for us to continue to think about.
chris 04.16.10 at 8:56 pm
Well, …that would cover, like, one county around here, and we’re a state school serving the entire state, etc.
Well, I was trying to avoid sidetracking into how the U.S. educational system is a means of perpetuating our class system by providing opportunity to some, disguised as a means of providing opportunity to everyone.
Anyway… aren’t you trying to address a problem that belongs at the high school or even middle school level? If these people can’t read a graph, what did they do when they looked at their science or social studies textbooks from middle school onward? Or what is *in* their science or social studies textbooks from middle school onward?
I really do think that graph-literacy is practically on par with, well, literacy, and that’s why my mind boggles at the idea of deliberately accepting students who haven’t figured it out yet.
Salient 04.16.10 at 9:46 pm
Well, I was trying to avoid sidetracking into how the U.S. educational system is a means of perpetuating our class system by providing opportunity to some, disguised as a means of providing opportunity to everyone.
Yes, let’s avoid that sidetrack, as I’m pretty sure most of us here are working rather diligently to counteract this. We’ve come a long way since the days of boarding schools’ predominance.
Anyway… aren’t you trying to address a problem that belongs at the high school or even middle school level?
It’s completely irrational for me to be as irritated as I am that you haven’t read my previous comments on previous CT education threads where we have talked and talked and talked about this. I’m probably being unfairly irritable right now. So, sorry if this response sounds snappy.
But look, two things. One, we educators have jobs to do, as educators. Sitting around saying, “oh but if only the student population was better prepared before they landed in my hands” is not doing our job. We work with the students we have, not the students we envision as ideal.
Two, I’ve talked many too many of Harry’s CT threads to death going on and on about what we try to do, in my program, to improve high school and middle school education. Fergawdsake, I teach teachers for a living. And talk about it on CT more loquaciously than sensible people have patience for. But not here. Because that’s not what this particular thread is about; it’s narrowly about professional development.
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Speaking of which, to offer an on-topic thought, I wonder if the participants would be interested in producing a cross-discipline document advising graduate students on how to teach and teach well. The idea is, by developing advice for graduate student teachers, one could (i) profitably reflect on what makes for good instruction and (ii) give graduate students more resources to use. Having a concrete project like this as a final result clarifies the end goal and streamlines the thinking process.
Participants could discuss what they would advise graduate students in their major to do, both immediately as instructors, and as future professors.
This would let folks explore what is specifically true about their department’s expectations, and what the departments seem to share in common. By exploring what we want to see in our graduate students’ future teaching, we can indirectly contemplate we want to see in our own classrooms.
Also: it also creates a proxy situation, which I think is good. Advice is not being offered directly from one person to another — coming up with advice and guidelines for the hypothetical third party graduate student would free up participants from some constraints of etiquette, and open them to brainstorm in ways they might not feel comfortable doing when discussing each other’s roles directly.
One can discuss what makes for mediocre but passable (in the sense of not disciplining the individual) teaching, and what folks have seen in their graduate students’ teaching that wowed them, or concerned them.
(I assume you all have to do sit-in evaluations and stuff. Might as well put those hours spent in evaluating grad students to a second use.)
And just to repeat, regardless of whether this discussion topic suggestion gets incorporated somehow, if there’s any kind of concrete document that spins out of all of this, graduate students could benefit from having access to it. Ok, as a graduate student myself, I have an ulterior motive. But it’s a noble ulterior motive; reflection is more valuable when shared! :-)
Salient 04.16.10 at 9:52 pm
Heck, if nothing else, you might discuss what each department looks for in its graduate student evaluations, and what each department considers useful feedback from those students’ evaluation forms.
We have a department evaluation form in maths. I bet no other department has taken a look at it, to compare and contrast what we ask versus what others ask. I honest to goodness have no idea if other departments even have department-specific evaluation forms, in addition to the university-wide form. I wonder how many of our questions would be the same as other departments’ questions. Where do our foci differ? What foci do we share?
Looking at the concrete stuff helps us see where our abstract ideals match our day to day focus and priorities. Sure, we might all talk about how much we want to incorporate technology in inventive ways (for example). But which departments actually ask students to evaluate how well we did that? Which departments make that one of the first and most prominent questions on their intra-department student evaluation form?
That would be something I would profit from discussing, at least briefly, as a participant in a college inter-departmental professional development seminar.
chris 04.19.10 at 2:51 pm
One, we educators have jobs to do, as educators. Sitting around saying, “oh but if only the student population was better prepared before they landed in my hands†is not doing our job. We work with the students we have, not the students we envision as ideal.
Fair enough. That’s sort of what I was getting at with my initial acknowledgment that what I was saying was probably useless in the short term.
In that case, I apologize for being off-topic.
Miriam Meinders 04.19.10 at 11:38 pm
Hi, I am briefly de-lurking.
Lee Gass is a retired univeristy of British columbia prof who won the 3M Teaching award, and has written some great stuff about teaching. Particulary about teaching creativity in the sciences, which interests me as a non-science-thinking-person, but also seems applicable to the liberal arts. He has some exercises, etc. posted at his site.
http://leegass.com/who-is-lee-gass/educator/my-teaching-career/
And, I love to come hear and read y’all debate in such ‘civilized’ tones. So, thanks for that.
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