Winning them the Oscar for Best Original Screenplay in 1998, Good Will Hunting propelled Matt Damon and Ben Affleck to the Hollywood A-list (no doubt Phantoms would have done this for Ben Affleck, had it not been for the success of Good Will Hunting only months earlier). I will not summarize the plot, except to say that in this film, Matt Damon is a math superstar. For those wanting more in the way of plot summary, this trailer may help to refresh your memory:

There are a number of films that center around math geniuses, and for the most part they have met with some degree of critical and commercial success. Our purpose here is not to critique these films, but to answer a simple question: In what ways do these films perpetuate stereotypes about mathematics and mathematicians, and in what ways do these films rise above those same stereotypes? Here we use a rather crude scoring system, whereby each perpetuated stereotype corresponds to a loss of one point, while each stereotype that is overturned corresponds to a gain of one point.

Let’s start with the good.

- People who are good at math are socially awkward.

Will Hunting certainly runs counter to this statement. He has several close friends, enjoys going out for drinks, and lands a smoking British girlfriend. Will also really likes punching people (see below), a pastime I think it’s safe to say is not shared by most people who study math.

Watch out! This clip, and the one below, may contain objectionable language.

While Will Hunting is not socially awkward, not everyone in the film can escape the same fate. Fields medal winning, ascot adoring math professor Gerald Lambeau seems relatively well adjusted, but his teaching assistant Tom is painfully awkward – almost awkward enough to overshadow the non-awkwardness of the rest of the mathematically inclined cast. Perhaps he simply got lost in Matt Damon’s eyes.

Overall, the film does a good job of showing that not everyone who is good at math is a social outcast. +1.

- Mathematicians are single-minded of purpose, and have no interest in anything besides mathematics.

Will Hunting provides a strong counter-example for this assertion as well. The movie shows us that Will is not just a math prodigy, but is basically an all-around smart dude. Very little time is spent showing the audience how Will does math – understandably so, since I can imagine few things less cinematic than watching someone think about math problems. Because of this, we see the other aspects of his character, and learn that his realm of interests extends far beyond what can be found in a collection of math books. +1.

- To be good at math, you must be insane.

While he certainly has some issues, I don’t think anyone would assert that Will has any significant mental disorders. This film shows that you don’t have to be crazy to enjoy math – although it couldn’t hurt, I suppose. +1.

What about the not so good?

- It is important to do math on windows, mirrors, or other unconventional writing surfaces.

I get it. Watching people sit at a desk and write things down is boring. Nobody wants to watch that. But if you go to a mathematician’s office, I doubt you will find writing on the window, or on the mirror of their bathroom at home. That’s what blackboards are for. -1.

Other than that, the film does a fairly good job. It is understandable vague when it comes to the supposedly insanely difficult problems Prof. Lambeau gives his students throughout the film, although the brevity of their solutions seems to suggest that really they weren’t so bad in the first place. The film does earn points, however, for featuring Parseval’s identity in the first classroom scene.

I think there is one more negative stereotype about mathematics that this movie perpetuates. Namely that only certain naturally gifted people can be good at math.

While there certainly have been examples of people simply picking up books and making brilliant contributions to the field (Ramanujan is the first that comes to mind), this is not the general case. An understanding of math does have to be nurtured to a certain extent.

By portraying brilliant mathematicians as some natural abnormality this allows people to believe that they “can’t do math.” People defeat themselves without really trying because they think that mathematical ability is something you either have or you don’t.

thanks for pointing out that oversight on my part, patrick. looks like the net score for this film is only 1, not 2.