kitchen table math, the sequel: critical thinking
Showing posts with label critical thinking. Show all posts
Showing posts with label critical thinking. Show all posts

Saturday, August 1, 2015

Way too much thinking

I've mentioned (a gazillion times -- sorry!) that I'm writing a book to do with the basal ganglia.

The basal ganglia handle nonconscious learning and intuition. (Turns out intuition is a real thing - ! Basically, intuition is nonconscious category learning.)

Meanwhile, the entire education world is obsessively focused on conscious processes.

Critical thinking.

Problem solving.

GROUP problem solving.

Cognitive science (and common sense) tell us that all of these activities depend upon nonconscious processes, but never mind.

Here's a typical passage describing current thinking (thinking!) in cognitive science:
A great deal of complex cognitive processing occurs at the unconscious level.

[snip]

It is largely accepted that lower levels of processing (e.g., motor reflexes, sensory analysis) can operate outside of perceptual awareness (implicitly) (e.g., Castiello, Paulignan, & Jeannerod, 1991). And although the existence of nonconscious computations at higher levels (e.g., semantic or inferential processing) has been controversial (Dixon, 1971; Eriksen, 1960; Greenwald, 1992; Holender, 1986), a range of empirical findings on the unconscious over the last several decades has led most cognitive neuroscientists today to believe that mental activity can occur outside of conscious awareness (Hassin, Uleman, & Bargh, 2005). Some have argued that all information processing can, at least in principle, operate without conscious experience, and that consciousness (C) may thus be of a different nature (Chalmers, 1996). This view goes along with the hypothesis that nonconscious processes can achieve the highest levels of representation (Marcel, 1983). A large amount of complex cognitive processing appears to occur at the unconscious level in both healthy and psychiatric and neurological populations. For example, evidence from patients with blindsight (Goebel, Muckli, Zanella, Singer, & Stoerig, 2001; Weiskrantz, 1986), prosopagnosia (Renault, Signoret, Debruille, Breton, & Bolgert, 1989), implicit awareness in hemineglect (Cappelletti & Cipolotti, 2006; Marshall & Halligan, 1988; Vuilleumier et al., 2002), nondeclarative learning even in amnesia (Knowlton, Mangels, & Squire, 1996; Knowlton, Squire & Gluck, 1994; Turnbull & Evans, 2006), and the “split-brain” syndrome (Gazzaniga, 1995) supports the idea that unconsciously processed stimuli can activate high-level cortical regions.

- The Neural Basis of the Dynamic Unconscious
Expertise is heavily nonconscious. Most of the time experts don't know how they do what they do,  they just do it.

Yet all of K-12 these days seems to be premised on the belief that being able to "explain your answer" equals "understanding."

That belief is nonsense on stilts.

Yes, experts think when they solve problems. But eureka moments come out of the depths.

We have no access to our nonconscious minds, and we can't explain what our nonconscious minds do.

What's more, if we didn't have nonconscious minds, we wouldn't solve problems.

So what happens to problem solving when you stop teaching the nonconscious mind?

What happens to problem solving when you believe that conscious "thinking" is all that matters?

Here's Barry on Explaining Your Answer.

Saturday, July 7, 2012

again with the critical thinking

Well, thanks to Texas Republicans including the words "critical thinking" in a statement no one outside a tiny group of public school obsessives actually understands (or cares to understand, apparently), we now have precious NYTimes real estate going to the celebration of non-memorization in schools.

Here, courtesy of the Times, we have the thoughts of a recipient of the Presidential Award for Excellence in Math and Science Teaching and the Distinguished Fulbright Award in Teaching:
I’ve worked for many years with students of varying demographics and learning abilities and what I’ve learned over and over is that nearly all kids love to learn – even those who would like us to believe they hate school. But what they need from their education is more than the memorization of facts – they need great teaching, foundational knowledge, problem solving skills, and the understanding of current issues.

What is a Good Teacher Worth?
By ANDREW C. REVKIN
July 6, 2012, 10:03 AM
So they're going to acquire "foundational knowledge" but they're not going to memorize any facts. Or not many.

How exactly do you pull that off?

And please don't tell me 'they construct their own knowledge.'

Speaking as a writer, I have constructed knowledge any number of times -- and then promptly forgotten what it was I constructed. For nonfiction writers, forgetting your own ideas is a common occurrence and an occupational hazard. That's why writers keep notebooks.

I do recall, I think, Willingham once saying that we remember knowledge we've figured out for ourselves somewhat better than we do knowledge we've been told by someone else. Assuming that's the case, I surmise that the mechanism is the amount of time you spend trying to figure something out, which amounts to a form of practice or rehearsal as well.

I know for a fact that 'discovering' and 'constructing' your own knowledge is absolutely no guarantee that you will recall your own knowledge later on.

Not even close.

There's only one route to Carnegie Hall.

instructivist weighs in
think

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.

Saturday, June 30, 2012

think

from Glen:
I don't know whether the Texas GOP is objecting to the program of political indoctrination or the deprecation of knowledge, both of which are labeled "critical thinking" by progressives to give themselves political cover, but either way, I'm with the GOP on this one.

On arrival, our school district's new "science specialist" sent a letter home to parents in which she claimed to be specially trained in "progressive education" and "constructivist learning," whose goal for our science classes was, "to instill in students a commitment to defending the environment."

The notion of "critical thinking" was central to her mission, and I happened to see one of her classroom critical thinking tests. It asked, "How many of the following human activities cause global warming? (check all that apply)". Not "are claimed by some to cause" but "cause." Critical thinking apparently consists in regurgitating the approved answers, not pondering the questions, when the answers are provided by a sage who's progressive. The options were such things as "driving cars", "consuming non-local foods", "non-sustainable manufacturing", etc. The right answer from a "critical thinking" perspective was, of course, all of the above.

I wondered at what point knowledge of physics, chemistry, or biology might play a role in the class. Mere knowledge was "fine," but engaging in environmental activism was worth extra credit toward your grade. What about chemistry experiments at home or go see the meteor collection at a museum? Good activities but not relevant to your science grade. What IS applicable to your science grade? Get involved in environmental activism, find examples of non-green behaviors among your neighbors and complain, or participate in an Earth Day activity.

At the end of the year, the top science prize awarded by her was not to the kid who knew the most about physics or chemistry but to the "Most Green" student. The prize was a coffee mug. Just what a 10-yr-old girl needs most, a coffee mug, right? Well, not just any coffee mug. The "science specialist" and expert on "critical thinking" told us from the podium that this mug displayed a very important map of the world that showed "which parts of the world will be under water in 2050." Wow. We already have the map showing where in Appalachia to buy your future beachfront property. It's right there in the shaking hands of the little green girl with the latte. I wonder how many critical thinkers are buying.

[snip]

And my brother-in-law, a Life Flight helicopter paramedic for years, wanted to get a nursing degree so he could spend more time at home raising his kids. California required nursing students to pass a "critical thinking" class to get their degree. Sounds like a good idea. And who best to teach our nurses to think critically? Dr. House-style clinical pathologists? Physicists? Experts in statistical analysis? No, when mistakes may cost lives, we turn to--the English Department.

So, he took the class from one of the staff marxists and made the mistake of challenging some of her claims. He thought the point of critical thinking was to engage in back-and-forth discussions, reasoning about an issue from various perspectives. BIG mistake.

The critical thinking instructor graded assignments on "insight," which is to say, how much evidence for leftist dogma the student managed to "discover" during an assignment. I begged my brother-in-law to stop analyzing and pretend to experience leftist religious conversion. For the final assignment, which was, inevitably, "to analyze from a marxist-feminist perspective," he did as I suggested, and got an A in the class.

But not just an A, but a gushing letter from the instructor about how utterly inspiring it was to see the light of understanding finally dawning in his formerly benighted middle-aged, white, male brain. In the end, her urging him to "think more critically" had enabled him to see the "class contradictions" and "injustice inherent in" blah, blah, and he had given her hope for the future.

So this is what state-enforced "critical thinking" means in California: deprecation of factual knowledge and promotion of various progressive theories.

The NY Times is counting on a lack of actual critical thinking skills by its fan base. They label a collection of bad ideas "critical thinking," then label anyone who opposes those ideas opponents of critical thinking. Ha, ha, those Texan rubes. What's the point in even arguing with people like that? (So now, in Orwellian fashion, we don't have to.)

I'm quite sure I would part company with the Texas GOP over other issues, but on this one, they're right. Real critical thinkers should be saying no to phony critical thinking.

letter to Andrew Rosenthal

re: Texas Republicans and "Knowledge-Based Education," I've sent this email to an address that I hope belongs to Andrew Rosenthal:
Hi -

I am a writer (Animals in Translation; Animals Make Us Human) and an instructor of freshman composition.

My class blog is here.

My husband, Ed Berenson, is Director of the Institute of French Studies at NYU (his new book is The Statue of Liberty: A Transatlantic Story).

Both of us strongly support “knowledge-based education,” and we are likely in the majority of parents, including liberal parents living in New York.

Although it’s not obvious from the platform’s wording, knowledge – not critical thinking per se – is the issue the Texas Republican Party has taken a position on. The phrase “critical thinking” means something quite different inside public education than out, and I’m hoping you’ll consider writing a follow-up to clarify.

Boiling it down, there are two fundamental issues in the ‘education wars,’ one involving values, the other involving empirical research on the brain.

In terms of values, a majority of parents (and taxpayers and liberal arts professors) want schools to transmit to students knowledge of the liberal arts disciplines.

The K-12 establishment disagrees. Education professors [tend to] believe knowledge is changing so quickly that material taught today will be obsolete tomorrow, so content doesn’t matter. Instead of teaching knowledge, schools should teach students to ‘think critically’ and to ‘learn how to learn.’

(If you're interested, I compare my own district's ‘content doesn’t matter’ 7th grade reading program to the Core Knowledge reading sequence here. My district spends $29K per pupil.)

In terms of research on the brain, the K-12 establishment believes that ‘knowing’ and ‘thinking’ are separate functions. In the age of the internet, they argue, there is no reason for students to 'memorize' and 'regurgitate' knowledge because you can find any information you need on Google.

That sounds logical, but cognitive science has shown that it’s wrong. In reality, it's not possible to think about content stored on Google. While you are thinking, content must be stored inside 'working memory,' and working memory for “external,” unlearned content is tiny -- while working memory for knowledge stored in long-term memory is much larger.

In short, “knowledge” stored in the brain is biologically different from “knowledge” stored outside the brain, and the difference matters to the quality of thought. Thinking depends on knowing.

Cognitive scientist Daniel Willingham’s article for teachers is worth reading:
Critical Thinking: Why Is It So Hard to Teach?

In closing, I’ll mention that Ed headed the California History/Social Science Project in the ‘90s. CHSSP was a state-wide effort by the superintendent of schools to remove professional development from education schools and put it in the hands of disciplinary specialists – in other words, to make professional development “knowledge-based.”

I’m sure Ed would be happy to talk to you if you’re interested.
Hoping you’ll look into this further and consider writing a follow-up –

Catherine Johnson
Of course, I've omitted the question of direct instruction in values...

instructivist weighs in

re: Texas Republican Party's purported opposition to 'critical thinking'
The indignation exhibited in the [NYT] comments is misplaced. In the bizarre Thoughtworld of educationists nothing is what it appears to be. Being indignant about a ban on "critical thinking" is like being indignant about a ban on "democracy" in The Democratic People's Republic of Korea (North Korea).

In the Thoughtworld of educationists there is endless prattle about "critical thinking" but this "critical thinking" is taking place in a vacuum. Educationists are notoriously hostile to knowledge. They want "critical thinking" to take place without anything to think about. These so-called higher-order thinking skills (HOTS) are the pretentious upper parts of Bloom's Taxonomy with the lower parts typically cut off.

comments needed

No Comment Necessary: Texas GOP’s 2012 Platform Opposes Teaching “Critical Thinking Skills”
By ANDREW ROSENTHAL

I say it's time for somebody out there to think critically about thinking critically.

AND SEE:
Critical Thinking Not Possible Without Content Knowledge

Friday, May 6, 2011

academic skills or academic content?

In the new Education Week, word that the AVID program, which apparently teaches -- or attempts to teach -- critical thinking has not panned out in Chicago:
In a report set for release in the fall and previewed at the American Educational Research Association convention in New Orleans in April, researchers analyzed how AVID, a study-skills intervention for middle-achieving students, played out in 14 Chicago high schools. They found AVID participants in 9th grade gained little advantage that year over peers not taking part in the program, and remained off track for graduation and college.

[snip]

Doug Rohrer, a psychology professor at the University of South Florida, in Tampa, found the CCSR study more rigorous than prior AVID research.

In a September 2010 analysis, the U.S. Department of Education’s What Works Clearinghouse found only one of 66 AVID studies met its quality standards. Based on that study, the clearinghouse found AVID had “no discernible effects on adolescent literacy.”

[snip]

“The critical question in my mind,” Mr. Rohrer continued, “is whether AVID is better than requiring students to go to another class, such as an extra dose of math or writing. Learning how to take notes is a fine strategy, but it might not help you in Algebra 2 if you haven’t learned Algebra 1.”
You can't think critically about algebra if you don't know algebra.

Here is Daniel Willingham on the subject (pdf file):
After more than 20 years of lamentation, exhortation, and little improvement, maybe it’s time to ask a fundamental question: Can critical thinking actually be taught? Decades of cognitive research point to a disappointing answer: not really. People who have sought to teach critical thinking have assumed that it is a skill, like riding a bicycle, and that, like other skills, once you learn it, you can apply it in any situation. Research from cognitive science shows that thinking is not that sort of skill. The processes of thinking are intertwined with the content of thought (that is, domain knowledge).

Critical Thinking: Why Is It So Hard to Teach?
American Educator
Summer 2007

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