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Cultivating “High Conceptual Thinkers”

Thursday, March 4th, 2010

The Eide Neurolearning Blog run by Drs. Brock and Fernette Eide, has long been one of my favorite blogs, probably the top non-.mil related, SME blog among my regular reads. Here’s an example of why:

Gifted Big Picture / High Conceptual Thinkers

 High Conceptual Thinkers are often…- Omnivorous Learners: The world may be their oyster. Because of their quest for the “interesting”, they may love the Internet, read entire encyclopedias, or incessantly question adults about the real world, and so learn a little bit about everything. They may not hit ceiling scores on the conceptual knowledge IQ subtests because their omnivorous approach to figuring out the world around them.- New is the Thing: HCTs prefer novelty (this is how they develop new conceptual categories) and are tickled by unconventional viewpoints or discoveries. – Big Picture, Not Little Details: HCTs don’t always transition well to the “precision years” of late elementary, middle school, or beyond.

– Boredom is Death: Although using the ‘b’ word is notoriously a “no-no” word when talking to teachers, these kids rebel against what they see as boredom. Boredom may really seem like death to young HCTs. If young HCTs seem “driven by a motor”, it’s intellectual restlessness and it can be a blessing as well as a burden.

Not surprisingly, these kids often find classroom learning unsatisfying. After all, much of early education is focused on mastering basic skills or established facts, this is not what these kids are about. They’d rather be finding new worlds to conquer.

Although these kids are challenging to teach and parent, they are also a delight, and Dan Pink and others have suggested that the Conceptual Age is upon us and this pattern of thinking should be what we should be encouraging.

“High conceptual thinkers” – those with an insatiable intellectual curiosity, who see meta-level patterns and excel at constructing paradigms, extrapolation, synthesis and consilience are probably not a large percentage of the population and, most likely, they include eccentrics and cranks as well as highly accomplished individuals like E.O. Wilson, Buckminster Fuller, Freeman Dyson, Nikola Tesla, Richard Feynman and probably figures like Thomas JeffersonTheodore Roosevelt, Sir Richard Francis Burton, Winston Churchill, Robert Hooke, Da Vinci and numerous others.

There seems to be some congruency between HCTs and the category of people known as polymaths, which raises the question of whether HCT are born or can be encouraged to develop such a cognitive profile from education and life experience. The Eides offered a list of techniques for teaching children recognized as HCTs, but to my mind, these would also benefit a fairly broad section of students:

Teaching Big Picture / High Conceptual Thinkers

– Sky’s the Limit: If an idea or a lesson would be interesting to a wonky tech-y post-college 20-something, then it’s fine for the HCT. If a story or thing could be written about in Wired, Fast Company, or Mental Floss, then you’re probably on the right track. Sky should be the limit. Even some generally excellent gifted programs we’ve seen may grossly underestimate an HCT’s ability to think about advanced concepts. Also because HCTs develop their ideas through pattern recognition, they may want to see many examples and permutations, and complex presentations in order to help organize their ideas into simpler concepts.

– Play with Ideas: Conceptual thinkers like and need to play with ideas. Play expands ideas, creating a new opening for associations. Play means not micromanaging learning experiences – allowing some dabbling, and taking away some of the “high stakes every time” routine (e.g. not everything should be graded).

– Argue with Ideas We think many educational curricula wait way to long before they allow young HCTs to consider different viewpoints, learn how to frame arguments or actually debate, but this is often what HCTs love. If they don’t get it at school, make sure they get it home…maybe at the dinner table? Half of the 400 eminent men and women profiled in the Goertzels’ Cradles of Eminence came from “opinionated” families: “It is these homes that produce most of the scientists, humanitarians, and reformers.”

Compare these recommendations with the advice offered by nanotechnologist Dr. Eric Drexler of Metamodern:

Studying to learn about everything

To intellectually ambitious students I recommend investing a lot of time in a mode of study that may feel wrong. An implicit lesson of classroom education is that successful study leads to good test scores, but this pattern of study is radically different. It cultivates understanding of a kind that won’t help pass tests – the classroom kind, that is.

  1. Read and skim journals and textbooks that (at the moment) you only half understand. Include Science and Nature.
  2. Don’t halt, dig a hole, and study a particular subject as if you had to pass a test on it.
  3. Don’t avoid a subject because it seems beyond you – instead, read other half-understandable journals and textbooks to absorb more vocabulary, perspective, and context, then circle back.
  4. Notice that concepts make more sense when you revisit a topic.
  5. Notice which topics link in all directions, and provide keys to many others. Consider taking a class.
  6. Continue until almost everything you encounter in Science and Nature makes sense as a contribution to a field you know something about.

Intellectual curiosity would seem to be the axis that would make these approaches work effectively, and possibly, that’s what these techniques stimulate.
 

Cognitive Reflections Part I.

Saturday, January 2nd, 2010

While flawed, this is still an excellent summative article from The New York Times on the brain and learning ( hat tip to Michele):

Adult Learning | Neuroscience  How to Train the Aging Brain

….Recently, researchers have found even more positive news. The brain, as it traverses middle age, gets better at recognizing the central idea, the big picture. If kept in good shape, the brain can continue to build pathways that help its owner recognize patterns and, as a consequence, see significance and even solutions much faster than a young person can.

The trick is finding ways to keep brain connections in good condition and to grow more of them.

“The brain is plastic and continues to change, not in getting bigger but allowing for greater complexity and deeper understanding,” says Kathleen Taylor, a professor at St. Mary’s College of California, who has studied ways to teach adults effectively. “As adults we may not always learn quite as fast, but we are set up for this next developmental step.”

Educators say that, for adults, one way to nudge neurons in the right direction is to challenge the very assumptions they have worked so hard to accumulate while young. With a brain already full of well-connected pathways, adult learners should “jiggle their synapses a bit” by confronting thoughts that are contrary to their own, says Dr. Taylor, who is 66.

Teaching new facts should not be the focus of adult education, she says. Instead, continued brain development and a richer form of learning may require that you “bump up against people and ideas” that are different. In a history class, that might mean reading multiple viewpoints, and then prying open brain networks by reflecting on how what was learned has changed your view of the world.

“There’s a place for information,” Dr. Taylor says. “We need to know stuff. But we need to move beyond that and challenge our perception of the world. If you always hang around with those you agree with and read things that agree with what you already know, you’re not going to wrestle with your established brain connections.”

There are some problems with the article, starting with the assumption that the negative differences of middle aged brains are a product primarily of age rather than habitual use. While there are developmental differences in cognition, if you stop doing something at any age which you are mentally proficient – say calculus equations, creating rhymes, playing chess – you will grow less efficient at that activity over time. Use it or lose it. People in their 40’s to 60’s are typically leading lifestyles that are very different from full time students.

There is also enormous value in mastering a second field ( which initially is all “new information”). A person’s accumulated expertise, formal education and life experience can be thought of as a “cognitive map“. Ideally, you want to both continuously enlarge the size of your cognitive map (“lifelong learning”) and improve the efficiency and versatility of your ability to access the information (recall), discover patterns or elusive aspects (insight, horizontal thinking, analogies) and use the knowledge constructively and purposefully ( synthesis, creative thinking, problem solving).

 By nature though, humans are mentally lazy.  We are predisposed toward “Automaticity” and would find it hard to get through the day attemppting to reason through every action in a sequential series of steps, so our brains are inclined to take the path of least resistance . Recall is a lot easier a cognitive function than is generating new insights, orientation of new data into the big picture or engaging in complex problem solving, which is why the mental stimulus of novelty and conflicting viewpoints are so important. We need to be prodded.

It is no coincidence that tolerating exposure to differing viewpoints (political, methodological, religious – whatever) and assessing them objectively and critically is something that most adults have great difficulty doing. The defensive emotional surge that many people feel when facing antipodal views not only protects the ego, but by intefering with the ability of the frontal lobes to engage in critical, abstract, reasoning, the brain prevents the “waste” of time/energy of having to do the hard work of (perhaps) fundamentally re-thinking the premises that order our worldview. Not only are many zealous partisans unwilling to listen to opposing views and process their arguments rationally and fairly, they are often cognitively unable to do so! Unfortunately, that “bitter medicine” of evaluating critical feedback is exactly what our brains need in order to stay mentally sharp and adaptive.

The true believers who organize echo chambers and police the community for adherence to the “party line” are drugging their brains with ideology and corrupting their OODA Loop.

We Laugh Because it is Funny but also Because it is True: The Weakness of the Historical Method

Thursday, December 17th, 2009

This amusing videoclip makes the same point that my polymathic amigo Dave Schuler likes to make about the true state of historiography about classical  antiquity:

 

I will now let Dave speak for himself:

….Take the example of a single book, Plato’s Republic. The book was written in something like the 4th century BCE. Until the discovery of the Nag Hammadi library in Egypt in the 1945 the very earliest manuscript of The Republic that was known to exist was from around 895 CE. The version of The Republic in the Nag Hammadi library dates from something like 325 CE. Assuming that the text that came down to the Founding Fathers was derived from the 895 manuscript (a very bad assumption-it wasn’t), the book had been preserved for a half millennium by Christian scribes for Christian purposes.This would be a good point for a digression-within-a-digression about the Arab copyists who preserved many works of classical antiquity but that would be too big a digression. Suffice it to say that these copyists took copies that had been preserved by Christians and preserved them themselves for their own, presumably Muslim, reasons.So The Republic has a history something like this. We don’t have a single copy of the work from Plato’s time. For six or seven hundred years it was copied by Greek and Roman scribes for reasons we can only guess at. It was then copied for between a half and a full millennium by Christian, Jewish, and Arab scribes for Christian, Jewish, and Muslim reasons.That is the history of every single work from classical antiquity that survived until the time of the founding of our republic. We have, essentially, no idea of the entire body of work produced by the ancients. What was known of classical antiquity at the time of the founding our republic consisted of the buildings that still survived that they had built (often highly modified for Christian use), works of art and other artifacts, classical writings that had been preserved by Christian, Jewish, and Muslim scribes for their own purposes and that, presumably, furthered their agenda, and accounts of classical antiquity from Christian and Jewish writers.That’s it.

History is an empirical profession based on standards of evidence – in part. It is also an art of crafting a narrative that can effectively communicate the meaning of the evidence of an event that is known to exist.  Leopold von Ranke, one of the founders of the modern historical method, admonished his students that history should explain “wie es eigentlich gewesen ist” ( “Tell it how it really was” or “how it actually has been”) and eschew grand theories in seeking causation. These are difficult objectives to balance.

Historians are prisoners of their primary sources. Without them they are theorists or mere speculators. Too few, as with ancient history, and the historian is engaged in the same sort of guesswork as archaeologists and paleontologists or they are reduced to ideological theorizing, something historians are supposed to hold as suspect and as fit only for political scientists.

Too many sources, as with any modern presidential administration, and the sheer number makes it difficult to find critical evidence or draw upon a defensibly representative sample. Ronald Reagan supposedly signed one million documents in his eight years in the White House. True or not, the figure would represent a fraction of what his administration generated. Many documents of great importance are nonetheless not important enough at the time to cross the desk of the President of the United States.

The need to craft a narrative, imposes other restraints. There is no “history” unless the results of a historian’s work are disseminated and understood, challenged and defended.  Narrative works require the formating of historical events as a story and while this is reasonable in most instances, some periods of crisis are products of chance or a series of small acts that while unrelated, happen to intersect. Imposing a strong narrative frame on these situations is misleading but without the “story” there is no hook attractive enough to secure the attention of the general audience.

This is not to say, as Henry Ford did, that “history is bunk” but rather we need to be aware of the practical limitations under which historians labor. While history is not sociology or philosophy, it is not to be confused with physics.

Brief Metacognition

Tuesday, December 1st, 2009

Very, very busy but the following two items struck me as useful advice for sharpening our mental edges.

First, John Robb linked to a series of posts by Eric Drexler of Metamodern. Al of them were good but I particularly liked the following one:

How to Understand Everything (and why)

….Formal education in science and engineering centers on teaching facts and problem-solving skills in a series of narrow topics. It is true that a few topics, although narrow in content, have such broad application that they are themselves integrative: These include (at a bare minimum) substantial chunks of mathematics and the basics of classical mechanics and electromagnetism, with the basics of thermodynamics and quantum mechanics close behind.

….To avoid blunders and absurdities, to recognize cross-disciplinary opportunities, and to make sense of new ideas, requires knowledge of at least the outlines of every field that might be relevant to the topics of interest. By knowing the outlines of a field, I mean knowing the answers, to some reasonable approximation, to questions like these:

What are the physical phenomena?
What are their magnitudes?
What are their preconditions?
How well are they understood?
How well can they be modeled?
What do they make possible?
What do they forbid?

And even more fundamental than these are questions of knowledge about knowledge:

What is known today?
What are the gaps in what I know?
When would I need to know more to solve a problem?
How could I find it?

It takes far less knowledge to recognize a problem than to solve it, yet in key respects, that bit of knowledge is more important: With recognition, a problem may be avoided, or solved, or an idea abandoned. Without recognition, a hidden problem may invalidate the labor of an hour, or a lifetime. Lack of a little knowledge can be a dangerous thing.

Secondly, reading through Richard Nisbett’s Intelligence and How to Get It: Why Schools and Cultures Count ( see this monster, two-partbook review by James McCormick at Chicago Boyz), the intriguing findings of the “Venezuela Project” run by none other than the late Richard Herrnstein of Bell Curve fame. Nisbett writes (74-75):

Herrnstein and his coworkers devised a very advanced set of materials geared to teaching seventh-graders fundamental concepts of problem solving that were not targeted to any particular subject matter. In effect they, they tried to make the children smarter by giving them handy implements for their intellectual tool kits.

What were those non-subject specific, cognitive skills?

  • Basics of Classification
  • Hypothesis Testing
  • Discovery of Properties of Ordered Dimensions
  • Analogies
  • Simple Propositions
  • Principles of Logic
  • Constructing and Evaluating Complex Arguments
  • Weighing opportunity costs vs. probability of success for a goal
  • Evaluating credibility and relevance of data

I would have added metaphors, pattern-recognition and intuitive thinking games but it was a fine set of skills and the results were remarkable, according to Nisbett:

The instruction resulted in big changes in children’s ability to solve problems that the new skills were designed to improve….for language comprehension, .62 SD [ standard deviation]; for learning how to represent ‘”problem spaces,” .46 SD; for decision making, .77 SD; for inventive thinking, .50 SD. In short, general problem solving skills can be taught, and taught moreover in a brief period of time.

In psychometric terms, for a 13 year old, these scores represent phenomenal improvements in cognitive performance and indicate the plasticity of some aspects of measured intelligence. Why have such activities not become commonplace in public schools? Or universities?

Why indeed?

“The Big Picture”- the Nexus between Education and Grand Strategy

Thursday, July 16th, 2009

This will be the first of several related posts. 

The other day, I happened to be talking to my friend Dr. Von, a physicist and educator, and he brought up a post by The Eide Neurolearning Blog, on educating children in terms of “big picture thinking”:

What is ‘big picture’ thinking? Business consultant Andrew Sobel described it as:

1. Having a simple framework
2. Using analogies and metaphors
3. Developing multiple perspectives
4. Looking for patterns and commonalities
….

Instead of training for compliance, careful rule-following, and exact memorization or a paragon of crystallized intelligence, we need to make more room for ‘big picture’ thinkers – while still recognizing the need for basic skills and knowledge.….Pint-sized big picture thinkers really do exist and they seem to be over-represented among gifted children who underperform or cause behavioral disruptions in their early elementary school years. Many of these kids are ‘high conceptual’ thinkers, those who like discovering novel subjects, themes, and things that don’t make sense(“The thing that doesn’t fit is the interesting thing” – Richard Feynman), but the reason for this is often not random – inductive learners (learners who derive rules from examples) use novelties to generate new hypotheses or new rules.If you really want to teach and interest big picture thinkers, you would expose them to rich multisensory and chronologically-advanced experiences. Look for subjects, phenomena and ideas that could be compared and contrasted. Complexity should be embraced and not shunned. For big picture thinkers – complex is simple and simple is complex. Complexity often brings more meaning because there are enough examples that one can make a pattern.….Many of them are seeking the overarching framework inside which they can put their new bit of knowledge. Often these are ‘why’ kids – who need to know why something is true, not just that something is true.

The Eides have given an excellent explanation of the big picture thinker as a cognitive type and had some implied suggestions in that description on how a teacher or professor could approach students to get them thinking – models, metaphors, analogies, exposure to patterns and multiple perspectives. Note: all students willl derive some benefit from these techniques and become better at seeing the larger context. Many people can, with sufficient practice, can become significantly better, but the natural big picture thinkers are the ones who will react with insightful leaps of reasoning, imagination and questions with little or no prompting.

Unfortunately, such experiences in public schools and even our universities have become increasingly rare. Dr. Von explains why:

When I talk with students (juniors and seniors in high school) about how different subjects and classes are taught, invariably it comes down to great amounts of memorization. Most students, when you engage them in real conversations about the education they receive, will open up freely and get right to the point…because of the continued emphasis on grades and GPAs by colleges, students feel the need to focus first on memorization and get the grade on the test, and then move on to the next topic without much concern with what was just studied. When this is the case in school, has true learning just occurred? Likely not, if students are unable to recall and actually apply concepts that were covered in the past.

….To make matters worse, as students rely so heavily on memorization and short-term success on tests (and this is driven home even more in the ‘high stakes testing’ environment we find ourselves in in the era of No Child Left Behind, as resently implemented), those students, many of whom are gifted, as the Eides point out, who prefer complexity in their learning, are not benefitting from the way many (most) classrooms are run. By complexity, I mean those students who want to ‘see the big picture.’ Those students who want to know why something works, and how it is related to the material that was studied last semester as well as to the material that was covered in another class. For example, I love when students in my physics classes come to me asking about how to interpret and apply a particular integral result which was just studied in calculus class, or how Einstein’s theories changed political and military history, as studied in a history course. Those moments happen every so often, as a result of student curiosity and their wanting to truly learn about the material rather than memorize something for the test, and good teachers recognize such moments when they happen…

It falls to me to discuss why it matters: As a nation we are crippling the next generation of visionaries by retarding their intellectual growth with bad educational policy as surely as we might if we were adding lead to their drinking water.

Scientists and inventors, philosophers and artists, entrepreneurs and statesmen, individuals who conceive of and accomplish great things do not emerge from schools and colleges that emphasize low-level thinking and a curriculum without intellectual depth or rigor. They emerge in spite of them.

To force a systemic improvement in public education, the Bush administration pushed through “No Child Left Behind” with rigid timetables, mandated high stakes testing and punitive consequences for schools and districts not making standards. That is to say, the Bush administration addressed the lack of rigor in educational process with a sledgehammer – but ignored the lack of rigor in educational substance ( at least directly – under NCLB some schools had to toughen their curriculum to teach to the state test, but other schools or schools in different states dumbed down for the same reason – curricular alignment).

That NCLB forced public schools to ensure that our weakest students verifiably succeed at understanding the fundamentals is laudable. That this emphasis increasingly comes at the cost of schools only educating all their students at the level of the fundamentals is inexcusable. Perhaps criminal. NCLB is the overarching legal framework that was superimposed on a system whose content was (and often still is) frequently less than demanding and taught by instructors who themselves have not majored in the subject they are teaching. 

At the postsecondary level, long before the measure and punish model of NCLB arrived at k-12 schools, colleges and universities abandoned any semblance of a core curriculum or traditional canon and undergraduate degree requirements were larded with plenty of au courant esoterica as course options. Esoterica formerly left for footnotes in dissertations or as the subject of longwinded, diatribes at the dreary meetings of extremist splinter parties. Ivy League, big state schools, small third tier colleges – it does not matter; with only a few exceptions, the “cafeteria a la carte” model of undergraduate education prevails.

While a few students absorb and become true believers of fashionable cant, most students graduate high school and college unaffected by the large amounts of rubbish and trivia they have been exposed to because it was presented without any kind of sensible context and being committed to short term memory, quickly forgotten. The real damage to students comes from the cumulative effect of the absence of substance – the waste of time where meaningful content and the pressure to think through hard problems should have been.

The costs of educational myopia are here and they will grow worse with time. We already see sharply declining public support for science (because more people are now ignorant of basic scientific literacy),  lower rates of innovation and other negative economic effects. In the area of governance, across the board, regardless of party label or ideology, we have national leaders in their 40’s, 50’s and early 60’s who see the world primarily in short-term, tactical terms and who confuse career or class interest with governing in the national interest. Oligarchy is inherently a non-strategic worldview because it eschews making choices because choices require sacrifice in the near term in order to acquire systemic advantages in the long term. 

Oligarchy” seems like a a harsh word because we think of “oligarchs” as being selfish, exceedingly greedy, political sociopaths. While such figures do exist outside of TV and the movies (Burmese junta, Iranian hardliners, Soviet politburo etc.) most people are neither particularly malicious nor eager to consciously and openly do things society acknowledges to be wrong or counterproductive. Even less so are they eager to be seen by the public as incompetent. The problem is that, frequently, people are prisoners of their own limited frame of reference and, when their conscience might be tweaked, they excel at rationalization and denial.

This is not a question of smart or dumb or of expecting politicians to be moral paragons. There’s plenty of IQ wattage inside and outside of Washington, DC and petty larceny in politics goes back to the stone age. Rather, on average, the difficulty is that our nation’s intellectual potential has not been effectively maximized. Is it reasonable to educate people in a way where all subjects are disconnected from one another, prioritizing narrow specialization, emphasizing accumulating facts over understanding principles, rewarding the “right answer” instead of the “best question”, demanding conformity instead of curiosity and then expect our leaders to be visionaries and adaptively creative statesmen who think in strategic terms?

Why would our societal orientation in complex, dynamic, fast moving situations be good when our educational system trains people only to think through simplified, linear, sequential problems? Strategic thinkers need to be able to see “the big picture” and handle uncertainty, or they cannot be said to be strategic thinkers.

The ship of state has been steered, over the last forty or so years, into an epistemological cul-de-sac and we are headed for the rocks. America needs a grand strategy for a competent citizenry in order to reach the point where it can again have a grand strategy to deal with an unruly world.

LINKING TO THIS POST:

Red Herrings

Project White Horse

Fabius Maximus

The Committee of Public Safety ( provides an extensive analysis of the subject)

RELATED TOPIC:

Liberty/SecurityRethinking liberal arts


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