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Tuesday, March 15, 2016

Stringencies Generate Dysfunctions


"It is nothing short of a miracle that modern methods of instruction have not yet entirely strangled the holy curiosity of inquiry." Albert Einstein, 13 March 1949, New York (NY) Times.

"Do not trust the horse, Trojans! Whatever it is, I fear the Greeks, even bringing gifts." – Laoco├Ân in Virgil's Aeneid, Book II

The Raising-Standards Trade-Offs. What is Einstein's point? It is that even though there are criteria used to determine student proficiency in some area – which may well work for someone's intended purposes-- there is a dysfunction that arises from these very same criteria.

Criteria are comprised from definitions of "adequacy," which when "inappropriately applied" may undermine something that is generally more important in many fields of endeavor: curiosity.

What is Appropriate? For example, a scalpel, no matter how well constructed it is, would likely be a poor choice as a toothpick. This "inappropriate" use contributes to its dysfunction as it cuts through gum and cheek. But "inappropriate" is a vague term: it can cover actions which are unorthodox, or dangerous, or untraditional, or distasteful, or immoral, or improper, or ineffective, or inefficient – among others. Situation, for one, is a major contributor to our judgment as to appropriateness.

But major contributors, too, are the concepts, the definitions of which influence our criteria for judgments of "appropriateness. " Tests of all sorts, for example, "intelligence", are invoked as benchmarks for criteria. But it is a much vaguer notion of "appropriateness" which helps us decide which tests, among others, are the right instruments to support of judgments of adequacy. In general, we have to see how a possible decision situation meets criteria of

a. attention (cue);

b. interest (concern); and

c. involvement (control).

(For more on this, see Rationales for Intervention: From Test to Treatment to Policy)

It's no news that any action has results that can be considered as either positive or negative depending on contexts and interests of the persons making the judgment. But it's important not to confuse a test-error positive, i.e, false positive, with a "true" positive with later costs, i.e. a non-erroneous positive test result, that produces post-test negative consequences. (On what makes a "true positive" "true," see Classification Error in Evaluation Practice)

For example, John, who is sickly, gets a clean bill of health during an Army physical exam prior to induction; he is inducted and then reports for duty. In contrast, Harry, gets the same passing "fit for duty" score, is inducted and then goes AWOL.

Contingent Dysfunctionality (CD). You give a friend a shopping list. Your friend comes back with groceries that you had on your list, but you don't recognize many of the brands that you would buy yourself. Later you discover that though many of the items are satisfactory, there are other you find repulsive. Your specs were met, but a lot of undesirables got through. This is an illustration of how contingent dysfunctionality (CD) is brought on by both greater specificity of your list and by the inability of mere conceptual screening, i.e. a lists of concepts (item names), to sift out potentially dysfunctional items for other kinds of situations, i.e. food preparation instead of the original grocery acquisition.

Why CD surprises or disappoints us is that all criteria are situation-dependent functional. It's just that, as we construct our criteria of acceptability, we tend to regard only the situations we want to promote (or have others promote) as of prime importance. We create our own "elephants-in-the-room" by ignoring what we deem "not pertinent to the task."

Any criteria (-- concepts are covering terms for sets of criteria --) may be carried over into new situations for which we have little or no experience in dealing with the variations they may induce in items identified by the criteria. Thus their appropriateness may not be challenged with much more than some misgivings about the "novelty" of their application. (Imagine doing a performance of Hamlet at the beach in a hurricane, wearing swimsuits and knee deep in the tide! Might we not have difficulty judging its quality as a performance even if acted by fine British performers?)

Explicit criteria which attempt to clarify a concept, may also be a flood-gate for CD's that are non-functional for the situations we initially formulated them for. However, in later, relatively similar situations , these criteria may become active enough to concern us. (See Autonomous Car Collides with Bus: an illusion of abstractions?)

The Many Guises of CD. The criteria accepted to specify a concept define what I will call here, for want of a better term, an "elite," relative to a given population of items (thing, actions, persons, etc,) in a given situation, or for a given purpose for given persons. The more stringent the criteria, likely the fewer the items are that accepted into the elite. This reduction of members of an elite is the usual purpose of attempts to "raise standards," or "tighten admissions," or "increase quality."

The thesis of this essay is that by increasing the stringency of criteria with respect to one situation (or group of situations) elites will collect members which are dysfunctional in other situations not in the original. (Literature majors tend to be quite dysfunctional in mathematics.) These contingent dysfunctions are not necessarily intentional, but often are either disregarded, overlooked or dismissed as being of low probability, or of negligible long-term cost.

Common examples are:

a. A college football coach "beefs up his line" with students who turn out to be academically inept. Their grade-point average may disqualify them from playing.

b. Farmers breed cattle for reduced fat content which turn out to be less resistant to common diseases.

c. Traditional monarchies accept as "royal consorts" persons with royal family histories, disregarding their genetic hemophilia. The consorts themselves turn out to be hemophiliac. Their illness may impair their ability to govern.

d. Car companies develop automobiles which are "self-driving" but which turn out to be unable to recognize and handle a range of low-frequency emergency situations easily recognized, if not well-handled, by humans. Issues of risk and responsibility may arise.

e. From the perspective of the people of ancient Troy, the Wooden Horse -- now referred to as "The Trojan Horse" -- which they accepted as the gift of defeated Greeks honoring the Goddess Athena, led to Troy's destruction.
,

The Trojan Horse is an exemplar of most, if not all, scams and illusions. What is important here, in considering its status as an example of CD, contingent dysfunctionality, is understanding for whom the horse is contingently dysfunctional. Clearly, it is a CD for the Trojans, not the Greeks. The Trojans misinterpreted – actually, accepted the explanation given them by the apparently left behind Greek, Sinon -- and despite the warning of other Trojans, took it to be a religious statue; and, not a special-forces invasion ploy.

Perhaps, if instead of letting the statue stand untouched overnight as they celebrated their seeming victory over the Greeks, the Trojans had set it afire, the relative CD-status described in the previous paragraph would have been otherwise.

For examples and to pursue these issues, see Evaluating Learner Strengths and Weaknesses: 
the Impediments of Formalism )

For Additional Articles pertinent to AI, see

Artificial Intelligence Weirdness. Need categorizing relate to visual cues?

Autonomous Car Collides with Bus: an illusion of abstractions?

Behavior, Action, Pattern and Structure

Cause & Effect: essential belief, misapprehension, moral hazard?

Concept as Abstraction. A hindrance in developing intelligence?

Functional Analysis of Behavior, The: theoretical and ethical limits

Hard Wired Choice?

Mathematics of Behaviorism, The: an informal examination.

Measurability and Educational Concerns

Recognition and Knowing

Self-Driving Cars, Run-Away Trams, & "Unavoidable" Accidents

Similarity: not a given; but, a composition.

"The Stimulus" remains a Hypothetical Construct; or, Guessing At What Elicits Behavior

Stringencies Generate Dysfunctions: a problem for Artificial Intelligence, too.

"Thinking" Like Computers Do



Cordially
--- EGR