kitchen table math, the sequel: Cambridge pre-U
Showing posts with label Cambridge pre-U. Show all posts
Showing posts with label Cambridge pre-U. Show all posts

Monday, July 2, 2012

David Mulroy on 'critical thinking' in the late Middle Ages & 'looking for bias'

The "critical thinking" discussion brought David Mulroy's The War Against Grammar to mind.

I remember Mulroy making an argument that what we call critical thinking today corresponds in some sense to "disputation" and "logic" in the Middle Ages. Mulroy is on grammar's side of grammar, obviously.

Unfortunately, looking at my copy of Mulroy's book, I see that I'm going to have to do more than skim my underlinings and notes to reconstruct exactly what he's saying.

So, for the time being, here is one of my favorite passages from the book: Mulroy on "interpretation by free association" ("making connections," presumably) versus "precise interpretation of the meaning of complex statements." [boldface added in the passages below]
The tendency of modern teachers to disparage the importance of literal meanings reinforces and is reinforced by the low status of grammar, since the rules of grammar play an indispensable role in establishing the literal meanings of statements. Grammar and literal meanings have both become pariahs, and this fact lies at the root of several troubling tendencies.

To a teacher in the humanities, the most obvious of these tendencies pertains to reading comprehension. We increasingly encounter students who can speculate about the "hidden meanings" of literary texts but miss their literal sense. To gauge the extent of this problem, I recently asked members of one of my large mythology classes to produce brief paraphrases of the first sentence of the Declaration of Independence
When in the Course of human events it becomes necessary for one people to dissolve the political bands which have connected them with another and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.
I was looking for a restatement of the proposition expressed in the main clause, that respect for public opinion makes it necessary for parties who are abandoning an established union to explain why they are doing so. It was disconcerting that of sixty-one students who tried to paraphrase the sentence, none seemed to recognize its source. Some thought that it had to do with ending a romance. I estimated that twenty-five comprehended the gist of the sentence. 
[snip]

Most disturbing, however, were a large number of students who responded to the assignment with misguided enthusiasm.

[snip]
It doesn't matter where you came from. In the end we are all human beings. Humans are at the top of the food chain, but it doesn't mean we shouldn't respect nature. Because we have one earth, learn to preserve it.
I was taken aback by how poorly the students had done on this test and repeated it twice with essentially the same results. Most recently, in November 22002, I offered the paraphrase exercise as an opportunity for "extra credit" on a mythology test. Sixty-four students of 228 attempted it. Thirty-three seemed to have grasped the essential thought. Among the others war e some more vivid examples of interpretation by free association.

For example:
Mankind is in a state of separation. There will come a time when all will be forgotten, and man will be one with mother earth.
[snip]

These responses seem to me to exemplify a kind of higher illiteracy. The students who suffer from this are proficient in spoken English and can express their own thoughts in writing adequately. They lack the tools, however, for the precise interpretation of the meaning of complex statements. This kind of illiteracy boils down to an ignorance of grammar. If a student interprets the first sentence of the Declaration of Independence a an exhortation to "preserve the earth," then how can you demonstrate the error? There is no way to do so that does not involve grammatical analysis: the subject of the main clause is respect to the opinions of mankind, the main verb is requires, and so forth.
Mulroy goes on to connect "a-grammatical interpretation by free association" with what he sees as a focus on ad hominem argument in many state standards:
By far the worst effect of interpretation by free association, however, is the legitimation of ad hominem arguments. Of all the associations that are attached to statements by reflective judgments, those having to do with the speaker's or the author's motives are the most common. In a culture in which interpretation is typically based on free association, people have inevitably lost sight of the fact that speculation about motives is an invalid method of argumentation, a well-known logical fallacy....Most discouraging, however, is the fact that new state academic standards in the language arts actually encourage students to engage in ad hominem arguments. In Wisconsin, for example, a standard for grade 12 under the heading of "Effective Participation in Discussion" reads: "Detect and evaluate a speaker's bias." And later: "Appraise the purpose of discussion by examining their context and the motivation of participants." California's Listening and Speaking Standards for grade 8 include this: "Evaluate the credibility of a speaks (e.g., hidden agendas, slanted or biased material)." In Kansas, fifth-graders are supposed to perceive an author's "purpose"; eighth-graders, his "point of view"; eleventh-gradesr, his "point of view or bias."

This is not the way to train students to participate in serious discussions. Charges of hidden agendas or biases and raising the question of motives are sure ways to turn conversations int o shouting matches. Students should be exhorted, when engaged in serious discussion, to analyze the meaning of statements according to the rules of lexicography and grammar and then to test their truthfulness according to the rules of logic and evidence, while disregarding extraneous associations. One arrives at truth and maintains civility by obeying well-grounded rules, not through exhortations to be sensitive and certainly not by trying to psychoanalyze one's opponent. We cannot have good conversations in our society unless we attend to the literal meanings of what we say to one another, and we cannot do that without greater emphasis on understanding grammar.

Or so it seems to me.
Until the moment I read Mulroy, I had simply taken for granted that 'looking for bias' was an OK thing for students to do.

Mulroy opened my eyes. Then, when I visited the Cambridge Pre-U course, I saw the fallacy of "looking for bias" in action. "Looking for bias" when you lack background knowledge easily turns into an exercise in being - or becoming - biased yourself.

One group of students in the class, whose Google search had turned up an article in Haaretz, the liberal Israeli newspaper, reported that: "Since this is an article in a newspaper in Israel, it might be biased against Arabs."

No one present challenged this reasonable-sounding observation, including the two teachers, and I remember feeling distinctly uncomfortable. Is it OK to assume that any news article written by any Israeli reporter should be suspected of bias against Arabs?

Really?

The answer seemed to be 'yes,' and to me that 'yes' comes pretty close to being an expression of (unintended) bias against Israelis.

So I'm off the boat when it comes to looking for bias, etc. Looking for logical fallacies and the like is another matter -- although I suspect it's more valuable for students to look for logical fallacies in their own work than in the work of others.

Setting aside the basic question of civil discourse, however, Mulroy is right: students need a great deal of help throughout their educations in reaching a precise interpretation of the meaning of complex statements.

I suspect most college-level instructors, not to mention SAT critical reading tutors, would agree.

Friday, March 9, 2012

uh oh

New AP Courses to Emphasize Critical Thinking and Research

The College Board is piloting two new Advanced Placement courses designed to focus on research skills that admissions counselors say are too often missing in high school graduates.

The new program for juniors and seniors, developed in collaboration with Cambridge International Examinations, will be tested over three years in 15 to 18 high schools starting this fall, the College Board announced today.

The AP/Cambridge Interdisciplinary Investigations and Critical Reasoning Seminar will be offered in 11th grade. Students will work in teams to research and write topics of global relevance. Each school can choose its own topic and pair different disciplines, such as history and English.

The AP/Cambridge Capstone Research Project taken in 12th grade involves writing a 4,500 to 5,000-word paper that will be evaluated on the students' ability to design, plan, and manage a research project, analyze information, and communicate their findings.

Trevor Packer, senior vice president of Advanced Placement and College Readiness for the College Board, says college admissions officers who sit on both organizations' advisory boards discussed the need for these types of courses. "They said U.S. students are not coming to college having developed research skills and the ability to integrate knowledge across a variety of academic disciplines," he says.
By Caralee Adams on March 5, 2012 5:47 PM
First of all, no college professor is complaining that students can't "integrate knowledge across a variety of academic disciplines." College professors are trained in the disciplines (in the disciplines, not across the disciplines); they research the disciplines; they teach the disciplines; and they'd like students to come to their classes prepared to do reasonably serious work within the discipline they research and teach, not across the discipline they teach and all the other disciplines they don't teach.

History professors aren't sitting around complaining their students don't know enough math, and math professors aren't sitting around complaining their students don't know enough history. No. History professors complain their students don't know history, math professors complain their students don't know math. (comma splice intentional)

Second, I tend to doubt college admissions officers came up with this idea on their own, though I wouldn't put it past them. More likely they're surfing the zeitgeist like everyone else, the zeitgeist being determined, for reasons unbeknownst to me, by Tony Wagner.

Third, I sat in on a Cambridge Pre-U global-shmobal course in a neighboring district, and it was wretched. Wretched! The course lasted a year and a half, replaced ELA, and involved no assigned reading whatsoever, and virtually no reading above the level of simple news stories and op-eds students found on Google. Students worked in groups -- group Googling, has anyone written a Prezi presentation on that? -- then gave group Powerpoints to the rest of the class during which they examined each item for possible bias: this was critical thinking.

One of the groups presenting that day had found a relevant article in Haaretz, so, seeing as how Haaretz is an Israeli newspaper, they reported to the class that the Haaretz article might be biased against Arabs. Apparently, when you are thinking critically, you take it as a given that anything written by anyone anywhere in Israel should be suspected of bias against Arabs; and that, furthermore, a suspected bias against Arabs should be first foremost on your mind. The fact that Haaretz is a liberal paper, and might thus be accused by some of 'bias' against, for instance, Israeli settlers, did not come up. (For the record, I have no idea what Haaretz is or is not, or might or might not be, biased for or against, or who thinks what about the paper and its writers. And I wouldn't presume to speculate.)

As I recall, the group concluded that the Haaretz article was not biased, mostly because the writer's prose stye was flat and factual-sounding.

All the topics were global, and none of the topics would be addressed within the boundaries of a discipline. Or even across the boundaries of the disciplines, in the case of "Technology and Islamophobia in France."

Technology and Islamophobia in France seemed to be one of four topics students could choose from. (When I told Ed about the Technology-and-Islamophobia option, he said, "Did anyone think critically about the concept of 'Islamophobia'?) Not only is there no discipline that studies Technology-and-Islamophobia-in-France, but judging by what the kids had managed to come up with online even Google doesn't have much to say on the subject.

One of the articles the students reviewed was about surveillance cameras in French airports, as I recall. The presence of surveillance cameras in French airports had to do with Islamophobia in France because there are a lot of Muslims in France, and the French were having a debate about Muslim girls wearing headscarves in school. The headscarf controversy was the subject of another article the students reviewed, an op ed written in strong and emotional language, which led the students to conclude that the author of that piece was biased.

Here's an Eastchester version of the course. The Eastchester class has some assigned texts and consumes only a year, not a year and a half.

Saturday, April 30, 2011

The opposition

The Wall Street Journal has an op ed on Race to Nowhere today:
Directed by parent and first-time filmmaker Vicki Abeles, "Race to Nowhere" is marketed through a kind of partnership with local schools. The film suggests that if there are problems in American education, they are largely due to standardized tests, overambitious parents, insufficient funding, and George W. Bush. It also offers possible solutions, which include abandoning testing and grading and giving teachers more autonomy. 

[snip]

Parents in New Jersey suburbs have received numerous emails about the film and its upcoming show times from parent-teacher associations. Ms. Abeles and the schools split the revenue from ticket sales, but the director told the crowd in Bergen County that she is holding off on a DVD retail release while she explores a possible broadcast on PBS. She also said she is moving full speed ahead to hire companies in Washington to lobby for policy changes suggested in the film.

[snip]

Ms. Abeles argues that U.S. education is focused too much on giving kids "things to memorize and regurgitate," instead of developing the critical thinking skills that will be most useful in solving problems and thriving later in life.

Jeanne Allen, who leads the Center for Education Reform in Washington, reports that her sister back in Bergen County is one of those Jersey parents receiving a blizzard of email pitches to see the movie. Ms. Allen says that if U.S. tests are flawed it is because they demand that kids memorize too few facts, not too many. "You can't teach critical thinking," she says. She argues that kids cannot possibly develop problem-solving skills without a base of knowledge. How can one analyze a piece of literature, she asks, without knowing any vocabulary? Can students solve math problems without being able to multiply and divide?

Whether Ms. Abeles is ultimately advocating necessary reform or simply the latest educational fad, anything that changes the subject from unfunded pension liabilities is probably good news for the New Jersey teachers union. But that doesn't mean all the state's teachers will be thrilled if Ms. Abeles is successful.

Some of the most passionate advocates for rote memorization of critical facts can be found among the faculty in New Jersey public schools, a state that has traditionally scored highly on the standardized tests that may be going out of fashion. To put it another way, New Jersey may have more to lose from another nationwide shift in educational policy than states that are consistently ranked near the bottom.

Do American Students Study Too Hard?
By JAMES FREEMAN
APRIL 30, 2011
...she is moving full speed ahead to hire companies in Washington to lobby for policy changes suggested in the film...

Well, more power to her - but what about parents and teachers who like memorization and standardized tests?

We're out of luck.

For me, this is further evidence that we simply must have choice. Let the teachers and parents who want critical thinking without memorization have critical thinking without memorization.

Let the teachers and parents who want memorization and knowledge have memorization and knowledge.


critical thinking without content

In a recent comments thread, I mentioned visiting a Cambridge Pre-U Global Perspectives class at a local high school. The teacher and principal told us proudly that the class was "not content-rich." That was the selling point. Not content-rich.

All of the other courses the school offered, they said, were content-rich. This was a bad thing. In the content-rich classes, they said, students memorized but did not think. In Global Perspectives, students engaged in "critical thinking" and did not memorize.

So what happens in a class that is content-poor?

Students Google op-eds and feature stories and look for "bias."

For me, the idea of spending a year and a half (the course consumed 3 semesters and replaced English) Googling op-eds and looking for bias is almost unspeakably drear: not enough to keep the mind alive.

But the principal loved it, and the two team teachers loved it, and the other parent in our group loved it.

So let them create and attend the schools they believe in, and let the rest of us create and attend the schools we believe in.

Live and let live.


Critical Thinking: Why Is It So Hard to Teach? (pdf file)
Dan Willingham