SPECTRUMS OF ABSTRACTION
Judy Lightfoot
Teachers ask student writers to be specific as if
the phrase were meaningful by itself. But specificity is a relative, not
an absolute, concept. "Jerseys in the field" is not in itself
specific, just more specific than "cows," which is more specific than
"animals" or "natural phenomena." Most specific of all
would be "Bessie, one of the Jerseys in the field." And so on.
This idea is clarified for students when a diagram of a SPECTRUM OF ABSTRACTION is drawn on the board -- a
continuum from relative abstraction or generality to relative concreteness
or specificity.
The metaphor of a spectrum seems a better choice than a ladder because
it avoids the implication that one end is superior to another. Indeed, writing
and thinking continually move back and forth along a spectrum of abstraction,
and this movement gives writing much of the energy and power that inspire
reader interest. Students also need to be reminded of a truth they already
know, at least unconsciously -- that the middle ranges of a spectrum are
generally the most complex, interesting, and difficult to manage.
THINKING AND WRITING
MOVE BACK AND FORTH ALONG A SPECTRUM OF ABSTRACTION
|
<----------------------------------------------------------------------------------------------->
|
ABSTRACT
GENERAL
IDEA
ARGUMENT
THESIS
CATEGORY,CLASS,GROUP |
Mid-spectrum thinking --
reasoning, clarifications, analyses,
interpretations, explanations, definitions, concessions, qualifiers,
counterarguments, exceptions, transitions, connections,
*mid-spectrum concepts* |
CONCRETE
SPECIFIC
IMAGE, EXAMPLE
SUPPORT
EVIDENCE
THING,MEMBER,ITEM
|
|
ABSTRACT, etc
|
*<---MID----------------- |
-------SPECTRUM-------
|
------CONCEPTS------>*
|
CONCRETE, etc.
|
| Nature |
*mammals |
*cows |
*Jersey cows |
Bessie ... in the field |
| Global warming |
*greenhouse effect |
*air pollution |
*methane |
Bessie ... in the field |
| Growing up on a family farm |
*Where I got a lasting sense of security and special insights about
work |
*My small jobs in the farm dairy |
*Bringing the cows in to be milked |
Bessie ... in the field |
| Literary technique |
*effects of imagery on a reader's imagination |
*the appeal of images in children's books |
*images of harmony in Dan's Dairy Diary |
Bessie ... in the field |
Instructional Process:
In class I draw a horizontal line across the whole board and write NATURE at one end of the line and BESSIE, ONE OF THE JERSEYS IN THE FIELD at the other.
Then, at the appropriate ends of the line, I add the 12 paired key concepts
in the first table below (ABSTRACT/CONCRETE; GENERAL/SPECIFIC;
etc.). I ask the class where "Jersey cows" would go, roughly, on a continuum
between Nature and Bessie, and write it where they tell me to. Then the class
comes up with 2-3 more terms, which I write on the line for them; depending
on what they are, we may have to move "Jersey cows" in one direction or the
other. I write "mid-spectrum thinking" above the whole middle of the line.
This goes quickly -- it takes maybe 5 minutes -- even with time for adding
a few details about Bessie's especially well-developed natural Jersey cow
qualities to the "CONCRETE, etc." end. I ask them
if we care what color the field is, or whether there's a tree in it (in this
context, we don't).
Then I draw another horizontal line with LITERARY
TECHNIQUE or FAMILY FARM CHILDHOOD at
one end and BESSIE ... GREEN FIELD at the other.
With some prompting, the class can generate a quick spectrum of abstractions
-- it takes maybe 5 minutes. Students should notice that to make this continuum
cohere they need more elaborated mid-spectrum thinking, not just one- or two-word
concepts. I end the exercise by asking students whether additional details
about Bessie would refer to her natural Jersey characteristics or to something
else -- like her peaceful harmony with her surroundings, or her flowery straw
hat. And, yes, we may indeed care whether this field is green and has a tree.
Finally, students pair up and mark a relatively specific or concrete passage
in each other's drafts, mark the most general or abstract concepts connected
with it, and then trace the kinds of mid-spectrum thinking that link the
two. This takes them maybe 10 minutes. They can do the same with a published
essay.
Outcomes:
The spectrum of abstraction exercise gives students a systematic way to examine
language and thought for the purpose of analyzing it and making deliberate
choices. It also helps students see why certain examples of discourse cohere
better than others, why details without governing ideas can mislead or numb
the reader's mind, and why a baggy abstraction resembles Benjamin Franklin's
sack with nothing in it ("An empty sack won't stand up," observed Ben). In
classes and conference, I start hearing students say a paper needs "better
material from the Bessie end" or "more mid-level thinking." With prompting
they also notice that Macbeth engages in a great deal of mid-spectrum thinking
that is quite weak. Students don't need spectrum handouts, but I use copies
of the diagrams in conferences on their writing and thinking. Of course,
it's easy to sketch a quick spectrum for a student, too. Seniors often find
a diagram as helpful in conference as do younger students.
Notes:
1. Thinking and writing in fields such as political theory and
philosophy may never move from "ABSTRACT, etc." past
mid-spectrum kinds of reasoning. Many op-ed pieces don't get very "CONCRETE," either. In fact, every piece of discourse really
has own appropriate spectrum of abstraction -- set by the purposes of the
writer in conjunction with the expectations of the audience, the demands
of the subject and discipline, and the conventions of the genre. A discourse
on global warming might never get more specific than a discussion of greenhouse
gases; and if Bessie appeared, she'd only be window (or field) decoration,
not the essential part of the argument she becomes in a literary analysis
or personal narrative.
2. Still, it's useful for secondary students to be aware that
any concept can theoretically generate endless examples or details at the
"CONCRETE" end of the spectrum.
- "Nature" can lead to "ecology," then to "sustainability," and then
to "Easter Island.
- Or it can lead to "human nature," Freud's Civilization and Its
Discontents, and forms of guilt illustrated by "hurting my friend's feelings
yesterday."
- A topic as specific-sounding as "hurting my friend's feelings yesterday"
can be the most abstract or general concept in a paper, whose content will
become even more specific in the course of thinking it through. And if Whole
and Part are analogous to General and Specific, and Bessie is being dissected,
Bessie will fill the most general conceptual slot, and her biological systems,
organs, and tissues will slip into slots further and further along the continuum.
In any case, it's the mediating line of thought (operations collected
under "mid-spectrum thinking" in the first table above) that will make a
particular discussion cohere.
3. Students need reminding, too, that the meanings of
details can change if the context of abstractions changes. "Jerseys in
the field" could refer to football uniforms unless we know that the governing
abstraction isn't "sports." A phrase like "Jerseys in the field" can become
a running joke that pops up in my 10th-grade discussions whenever someone
makes an ambiguous statement without a clear context.
4. Finally, I sometimes have to tell younger students, "No,
people don't consciously keep a spectrum of abstraction in mind as they think,
speak, or write, any more than you consciously remember 'six sentence styles'
while trying to produce a sentence, and any more than Shakespeare consciously
pondered symbolism as a literary device when writing the dagger soliloquy.
But we can use the spectrum concept to trace connections between points in
many passages of thought, speech, or writing, including Macbeth's and our
own."