Wednesday, March 07, 2007

can you teach diversity with calculus?

that's the $50 question of the day.

i go to these monthly teaching meetings. there's 7 grad students and a bunch of faculty/dean types. we talk about teaching workshops we've run recently, and then spend an hour talking about teaching issues. last meeting was about why students cheat, today was about the purpose of an undergraduate education.

it's a really cool group of people and i enjoy the discussions, but sometimes i feel like i'm an outsider. the other grad students are english, ecology (2 of them), sociology, french, and italian students, and the other faculty have backgrounds in education and in social sciences. there are occasional comments on how they don't understand engineers, and things like that. on the other hand, i much more relate to the engineers than to the social sciences, so there are points where i have no idea what to say even when asked directly.

case in point: today while discussing the purpose of an undergraduate education the following comments were made:

* "we teaching critical thinking, etc.,etc., with the goal of eventually getting students to do some sort of integrative research. i don't know that you can do this in engineering or math where they deal with the literature, but..."
(i interrupted and said on the surface it looks different but there are analogs of all these concepts in math too)

* "the engineering department says one of its objective to to teach students interpersonal interaction skills"
(the room responded with laughter, i was quiet)

or... on my mind most of all...
* "it's important for students to learn skills to deal with the real world. issues like diversity and time management should enter the classroom. but how do you do that in math, lara?"
to which i commented, "math doesn't open itself up the same way to a discussion of diversity, but then the skills like time management and study skills become even more important."
the sociology grad student said "i disagree. i've commented while running teaching workshops that it could be hard to make your examples come to life in the hard sciences, but my participants who teach physics interrupt and tell how they make concepts into stories of when such-and-such a bridge was built, or whatever. you CAN bring diversity into the classroom with your story problems."
i temporarily shut my mouth and let it lie because i hadn't quite formulated my thoughts at that point, but now, 2 hours later, i've been thinking:

the point of many disciplines is to teach critical thinking about that area. formulate your own opinion and support it. math and engineering are definitely NOT about formulate your own opinion and support it. they're about things that ARE black and white, and understanding where the black and white comes from. while i think it's important to build realistic examples in calculus class, even concrete ones that you can physically play with, i don't think a word problem should open up a discussion of diversity implicitly or explicitly. the point of math is that it is true or false and NOT up to cultural interpretation. i was a little bit shocked that someone from another discpline thought that those issues do belong in the math classroom.

i actually suggested the fundamental differences between math/engineering/hard sciences and the rest of the academic world as our next meeting's discussion topic. we'll see if it happens.

but really, what is the answer? am i closed minded about what the purpose of math class is? are the social scientists too broad in their idea of where social analysis should happen? i don't know.

i just know that i'm constantly amazed both by the insight other people bring to these discussion meetings, but also by the seeming lack of understanding between some disciplines. we shall see...

reactions?

3 comments:

Anonymous said...

The ed department/local standards is always pushing the diversity issue. One way that I was told I could do that is to show that math can be found in any culture and completed by both males and females.

So, you bring up weaving in geometry and various approximations of pi.... You show that the Aztec, Mayans, African cultures, and other non-Europeans did something in the maths....

It doesn't have to be blatent nor create a discussion, rather, it may allow someone to notice and say "hey, they did that!?"

klh75 said...

I don't think the issue is whether math should teach diversity. The reality is that there is diversity in any area of study, purely by who and how things are done, not by results. I think the issue is more that students from a humanities or social science fields would open themselves to different types of learning because different courses and subjects help to develope different patterns of thought.

If all someone studies is math, they run the risk of thinking that everything in the world is black and white. If all someone studies is fine arts, they could easily believe that everything is up to interpretation and how they feel about it. These are two extremes, yes, but not too far from the truth.

The purpose of education is to help form students to think on their own. This means teaching that some things are either true or false, black or white, while other things may be up to a greater interpretation - teaching students how to think with both the left and right side of their brains, even though one is likely stronger than the other.

In short, the purpose is to offer the diversity of knowledge and ways of learning and thinking. Trying to apply the same formula or question over all degrees conteracts the diversity they are trying to teach, because it teaches that everything can be looked at in the same way rather than teaching that diversity is precisely being able to think and respond differently to different mediums.

I would consider diversity in mathematics calculus, geometry, analysis, etc. There is diversity in how and why mathematics is done. The fun of diversity is figuring out how to measure it and discuss it in each field, because it will be inherently different in social sciences, languages, arts, etc.

lara =) said...

margie -- your point is great for tying in cultures with math. the problem for me is that calculus was invented by 2 very white europeans about 300 years ago. how do you answer that? i still like the fact that once someone in any country figures something out it's equally applicable anywhere in the world without cultural prejudice/implications, but that seems to wipe out diversity discussion rather than help it.

k -- i love the points you make, but in my meeting they were definitely implying that math should talk about people group diversity somehow, which i and every math person in my department firmly disagrees with.

the points about diverse ways of thinking are fantastic, and i wholeheartedly agree. i think that academics get so used to how thinking happens in their own field of study that they either (a) don't realize how things work in other fields or (b) do realize how it works and think it's inferior to how things work for them, and it's important to understand the diverse ways of thinking needed in different discplines and appreciate them rather than criticize them.

i disagree with your "I would consider diversity in mathematics calculus, geometry, analysis, etc." i would say that that's "the vastness of mathematics", not "the diversity of mathematics", but that's a word choice argument.

in short, thank you both for your points! i'm glad i have even more people thinking and reacting!